{"text":"Question: Let c(x) = x**3 + 3*x**2 - 6*x - 3. Let r be c(-4). Suppose -2*o + o = 0. Let d be 3 + (o - -1) - 7. Sort 2, d, r in decreasing order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 460 is divided by 178?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 1\/18  (c) 0.01  (d) 5\/6  (e) -5  (f) 0  (g) -143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -5*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*b = -158, g + 3*b - 317 = -g. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*w**4 - 2*w**3 + 22*w**2 - 370*w - 682318?\nAnswer: -40*w**3 - 6*w**2 + 44*w - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 + 12*j**2 - 13*j**2 + 11 to y*j**2 + u*j + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366667017 is divided by 2580.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -628a + 9?\nAnswer: -6281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 8*i**2 + 3*i - 59. What are the prime factors of j(-10)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1266080 (base 11) to base 4\nAnswer: -20112210033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, 9.6, 1\/3, -22, 5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -115, -92, -67, -40?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 5*w + 35 = 0, 3*w = 8*w - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 4*c**2 - c + 2. Let p be i(4). Let x = 3 + 0. Let h = x + -2.9. What is the nearest to h in -2\/11, p, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -h**4\/8 + 133*h**2\/2 - 13*h - 2. Let s(u) be the first derivative of r(u). Let t(m) = -4*m**2 - 6*m. Calculate s(t(w)).\nAnswer: 12*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**3 - 7195*f**2 - 1 + 4*f**3 + 7195*f**2 - f to the form y + w*f**2 + j*f**3 + u*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 17616.\nAnswer: 17616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 159387606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.67 and -190?\nAnswer: -127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 262657134 and 481538079.\nAnswer: 2889228474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0162496 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38*q**3*u**2 + 50748*q**3*u + 2*q**3 - 51538*q**2*u - 100*q**2 + u**2 wrt q?\nAnswer: -228*u**2 + 304488*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45655\/2 - 22829. Let i = 7.01 + -0.21. Which is the third smallest value?  (a) 3\/2  (b) l  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 123\/9 + 8\/(-12). Solve g = -5*j - 4*f + 48, -4*f + 32 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-48))\/(680\/408))\/(11\/(-30))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 13*i**2 - 89*i + 132. Give c(-18).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 9:11 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 PM and 4:37 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -4. Suppose -3*p - 2*o = 4, -11 = 2*p + 2*o + o. Is 7 a factor of (14 + -2 + p)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 3*w = -4, -42*t = -40*t + 4*w - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 738 and 1351278.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 110914.\nAnswer: -110925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*c = 0. Let m(t) = 2*t + 28. What is the units digit of m(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5563 + 5603. What is the remainder when 2443 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 2 + (-4 + 2 + 0)*(-14 - 13 + 23))*(-5*r + r + 2*r).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 0 + (93 - -3)\/12. Suppose 10*y + u = 46. Solve -5*w - 3*s - s = -23, y*w - 3*s = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(11) - sqrt(22)\/sqrt(2)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 72 - 416. Let b = -49 - p. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 616 - 618. Suppose -3*j - 1 = -16. Which is the second smallest value?  (a) x  (b) j  (c) 2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/3 - 16\/(-12). Suppose -68 = -2*b - 4*g - 8, 0 = k*b + 2*g - 66. Suppose -4*p - 2*c = -2*p, -5*p + 4*c = -b. Solve 0 = p*w + 14 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4541031778 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9947, -39758, -89351, -158654, -247595?\nAnswer: -356102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -384?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 251*b - 25. What is the tens digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2216, 329, -1560, -3451, -5344, -7239?\n\"Answer: -l**2 - 1884*l + 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(1\/8 + 476\/(-2912))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1515, -3072, -4627, -6180, -7731?\nAnswer: -9280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3297543956 to the nearest integer?\nAnswer: 57424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*h**3 + 324*h**2 - 2940*h + 7100 = 0. What is h?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-6))\/(k*(k*k\/(k*k**5)*k*k)\/k)*k\/(k**(-8)\/k)*k**(-7))**(-7))**(-5\/3) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**2 + 3*l + 3. Calculate h(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -196039721*z**3 + 14161090*z - 2 wrt z?\nAnswer: -1176238326*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-11)*s*s*s**(20\/9) assuming s is positive.\nAnswer: s**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2026697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90 - 130. Let r = j + 43.2. Let a = r - 3.2085. What is a rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f - 395392 = -1284208 + 7014516. Round f to the nearest 10000.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 180272 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**3 + 19*d**3 + 26 - 26.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/2*(0 + 1). Let x be 1\/(27\/6462*(-2)\/(-6)). Suppose x - 3388 = -m*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 5) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*b*f**2*n**2 + 3206*b*f**2 + b*f*n**2 + 3*b*f*n - f**2*n**2 - 2*f*n - 2*f - 37*n**2 - 2 wrt f?\nAnswer: -8*b*n**2 + 6412*b - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1197 - 1465. Let u = 21325\/8 + o. What is the common denominator of 1 + (-14)\/12 - 0 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376 is divided by 99.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -28 + 27 + -1 + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) + -2*sqrt(3300) - sqrt(33))\/(sqrt(528)\/sqrt(3)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 816308, 1632621, 2448936, 3265253, 4081572, 4897893?\n\"Answer: h**2 + 816310*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2325 + 3254. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 392670 and 31.\nAnswer: 392701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 4062.\nAnswer: 1624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*o**2 + 37 + 33 - 101 + 34.\nAnswer: 111*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((36\/15)\/3)\/(-1*14\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8a - 79749?\nAnswer: -7969d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/2)\/((-6)\/(-4572)*-3). Suppose 125*k = d*k - 188. Suppose -9*g + k = -7*g. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19000 and 288800.\nAnswer: 1444000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 16*p - 77. Let f be c(20). Suppose 4*y - 7690 = f*t, -5*y - t + 9601 = t. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 871988152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + s)*(0 + 3 - 4 + 5 - 2 - 4 - 1 - 2 + 1 - 3 - 3 + 5 + (-3 + 1 + 4)*(0 + 2 - 1)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 338085 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*m + 1610 = -181*m. Sort m, -0.9, 6, 0.5 in ascending order.\nAnswer: m, -0.9, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*b + 9 = -2*r - 108*b, 4*r + 3*b - 27 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j. Let l(o) = 22*o**2. Suppose 2*n - 6*n = -572. Let f(c) = 528*c**2. Let y(r) = n*l(r) - 6*f(r). Calculate h(y(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z = -3*p + 1, -4*z + 4 = 0. Suppose -3 = 4*y - 3*k - 42, y + 5*k - 4 = p. Put -5, -4, y in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from olkkslkyxlky.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 5*f - 525 - 671, 2*c - 3*f = 1196. Let l = c + 580. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kcc when three letters picked without replacement from {c: 4, w: 3, k: 1, b: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -477782 (base 12) to base 14.\nAnswer: -22061c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 47169288*-6\nAnswer: -283015728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 601158045.\nAnswer: 3, 5, 31, 1292813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, y: 3, x: 3}. What is prob of sequence yxxy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - 3*w**2 - 7*w + 3. Let i(p) = -7*p**3 + 8*p**2 + 21*p - 6. Let h(l) = 3*i(l) + 8*q(l). Calculate h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-7\/4))\/v)**(-20) assuming v is positive.\nAnswer: v**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yqn when three letters picked without replacement from knqnznnykn?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g - 4. Let p be v(6). Suppose -3*m + 17 + 82 = 0. Suppose p*c = -c + m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202 (base 3) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*2\/2*79\/316?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3987738 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 132 and 1254?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w - 73*w**3 + 94*w**3 + 4*w.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -5\/6*b**3 + 0 + 3\/4*b**4 - 7*b - 7\/2*b**2. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a - 35*a + 17*a + 81 = 5*r, 13 = 2*a - 3*r for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x**(-6)\/x)\/x*x**(-4\/7))\/((x*x\/x**(-1)*x*x)\/x)**(-5\/6) assuming x is positive.\nAnswer: x**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16514229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.23352 plus 0.4?\nAnswer: -27.83352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f**3 + 2*f**2 - f. Let j(t) = 4*t**3 - 3*t**2 + t. Let w(p) = -4*j(p) - 6*r(p). What is the second derivative of w(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -160 - -34. Let i be (-201)\/(-7) - 36\/a. What is the greatest common divisor of i and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**3 + r**3 + r - 103 + 100. Suppose -2*v + 3*v + 3*k + 12 = 0, -2*v - 2*k - 8 = 0. Suppose -3*q + h = 1 - 5, q - 2*h - 8 = v. Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 192 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a13c (base 14) in base 6?\nAnswer: 3021430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**3 - x**2 - 3*x**4 - 5*x**4 + 0*x**3 + 3*x**2 as r*x**3 + j*x**2 + v*x**4 + h*x + o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 3*s**2 - 3*s + 12. Let r be h(3). Are r and 40\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 6*d + 496. Let n be q(-82). Sort -177, -3, n in decreasing order.\nAnswer: n, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2633*m**2 + 163*m - 42. Let u be w(-22). Round u to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1254 - 1236. Are o and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1719, 3456, 5179, 6882, 8559, 10204, 11811, 13374?\n\"Answer: -i**3 - i**2 + 1747*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 6*w - w)*(-3 + w - 3*w + 1).\nAnswer: 12*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 4 = -4*w. Let y(u) = -2*u - u**2 - 534101*u**3 - 353400*u**3 - 2*u**w. Let z be y(-2). Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1050) + 2*sqrt(1050))\/(1*sqrt(6)*1).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100010101110111111 (base 2) in base 4?\nAnswer: -10202232333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 49*b**4 + 16.\nAnswer: 196*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -940, -3.\nAnswer: -940, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2 - 252*q - 7546 = 0 for q.\nAnswer: -77, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141723658?\nAnswer: 2, 2833, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -2*u - 5*o, 2*u - 4*o = 4 - 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 8, 60 = -2*m - i + 4*i. Let l = m - -38. Suppose -l = 3*t - 71. Calculate the remainder when 37 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -21, -48, -77, -108, -141, -176?\n\"Answer: -r**2 - 24*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -112111\nAnswer: 112109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b57b4 + 1?\nAnswer: -1b57b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 2*g + 0*g)*(-g**2 + 4*g**2 - g**2)*(-g - 2*g + 2*g - 68).\nAnswer: -4*g**4 - 272*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-595)\/(-10))\/(3\/6). Let h = -119 + x. Let a(p) = p**3 - p - 2. Let m be a(2). Solve -m*q - 5*n + 17 = h, 0*q - 3*n = 3*q - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y + 5*h + 1635 - 1643, 3*y - 4*h = -14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*k + 8473 = 24606, 0 = 5*o - 2*k - 80841. What are the prime factors of o?\nAnswer: 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -817939104 + 2.845.\nAnswer: -817939101.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 121*l + 589. Let t be r(5). Let h(o) = -o**2 + 9*o - 5. Let f = 25 + -18. Let y be h(f). Solve -3*w + t = 2*b, -3*w + y = -4*b - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c + 2*c - c. Let i(r) = 5*r - 3*r + 1 - 1. Give i(d(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -2. Let w = -37\/63 + 4\/9. What is the second biggest value in w, g, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*y + 20 = 41*y. Let q be 368\/(-690)*(1 + 10\/y). What is z in 12\/5*z - q - 11\/5*z**2 + 3\/5*z**3 = 0?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -19*o**3 + 3*o**2 + o + 1. Let g = 0 + -2. Is l(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 914, 2893, 6176, 10769, 16678, 23909?\nAnswer: 32468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/26 or 2\/5?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1772092.41 and 5?\nAnswer: 1772097.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/48 and -17\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/20 and 179\/2550.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**3\/7 + 4*h**2 + 544*h\/7 + 512\/7 = 0 for h.\nAnswer: -8, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 24, 6 in decreasing order.\nAnswer: 24, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s. Let i(z) = 741*z**2. Calculate h(i(v)).\nAnswer: 2223*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-114))\/(((-4)\/(-18))\/((-5)\/(-15)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 28 = -w, -35*j - 2*w + 2 = -36*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - m)*(5 + 5*m + 0 - 4) to the form f + b*m**2 + q*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -49, 3, 349.\nAnswer: -49, -4, 3, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**2 + 0 + 0. Let n(d) = -d - 3*d + 3*d. Determine n(m(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -h + 2, -4*v - 5*h - 5 + 3 = 0. Suppose v*o + 7 - 5 = 0. Let n = -96.45 + 90.45. Which is the closest to o?  (a) 0.5  (b) 2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1361694.974 and 1.\nAnswer: -1361693.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (4 - 10) + -1 + 23 + -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1695, -13649, -46069, -109173, -213179, -368305, -584769, -872789?\nAnswer: -1242583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/4)\/(6\/8). Let h be c\/(-8) + 322\/56. Let j be -20*(15\/h)\/(-5). Calculate the highest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.5 + 0.4. Let p = 1486 + -1485.7. What is the smallest value in 4, b, -6, p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10550 is divided by 479?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1308895?\nAnswer: 5, 7, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -126030.64 times -1.13\nAnswer: 142414.6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 90444614\/7 or 12920660?\nAnswer: 12920660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -973*w - 6745. Determine z(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1 - 1) + (-76 - -60) + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 69*y + 1824. What is v(-25)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4779720 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 171 and 957999.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 25. Let p be ((-2)\/(-3))\/((-2)\/(-6)). Suppose 0 = p*f - y*f + 110. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d + 4. Let n be 8\/(-2) - (-12)\/2. Suppose l = -n*t + 5, 3 = -2*l + l. Suppose 0 = -5*j + t*g + 33, 8 = -4*g - 0. Determine z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15023388 divided by -1251949?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20520.17cm in nanometers?\nAnswer: 205201700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5479109067 to the power of 1\/3, to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -18\/31 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/8 and -69\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**3 - 6*p**2 + p + 1. Let u(h) = 4*h**3 + 6*h**2 - 2*h. Let m(n) = -5*b(n) - 4*u(n). Let g be m(6). Let a = -6 + g. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9707 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: Solve 3*r = 4*v - 2, r = 4*v - 3*r - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47828011 divided by 4348001.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*y + 7*y + 439, 595 = 4*h + 3*y. Calculate the greatest common factor of 37 and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 4*w + 6, 5*l - 45 = -4*w - w. Suppose -m + l = 3*h, -3*h = h - 16. Calculate the lowest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 7 = -4*y + 5*h, -2*h + 2 = 0. Let k(i) = i**2 - i - 1. Let a(n) = 8*n + 8. What is y*a(l) - 8*k(l)?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 6*v**3 + 68*v**2 + 40*v + 17. Determine g(-11).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, z: 7, p: 6}. Give prob of sequence ipp.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 3*p**2 - p - 4. Suppose 3*o - 6*o - 6 = 0. Let n be w(o). Suppose -5*y - n*u - u = -75, 0 = 2*u. Solve 0 = 4*g - g + y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1470 - -1470. Is -0.523 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 161679*f**2*j*n**2 - 9*f**2*n**2 - 87*f**2 - f*j*n - f*n + 4*j*n - 101*n wrt n.\nAnswer: 323358*f**2*j - 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -925156 greater than or equal to -925157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/2)\/(j*j**(2\/11)\/j*j))**(-10\/7))**(15\/7) assuming j is positive.\nAnswer: j**(2775\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5001 bigger than 80037\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 88*s**2 + 2240*s + 66. Give z(20).\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -596600?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ounvbuvj. What is prob of sequence on?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 403 - 401.4. What is the closest to x in 3\/5, 3, -0.1, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 47 + 47 + 47 - 142. Let n(v) = v + 1. Let p(r) = -12*r + 3. Let t(o) = -9*n(o) - p(o). Give -12*f(i) + t(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.35 + 0.65. Is s less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-6*sqrt(72)*-1)\/(sqrt(324)*-1 - sqrt(324)) + 5)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 3:47 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/4)\/(-1))\/((-20555)\/28777)?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 8 + 36*v**2 + 109*v - 211*v - 20*v**3 + 4*v**4 + 74*v = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 3*x + 3. Let c be j(0). Let h(a) = 5*a - c*a + 1 + 0 + 2*a. Calculate h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36649799 to the nearest integer?\nAnswer: 6054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/1715 and -56\/1719115?\nAnswer: 589656445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 11 - 77*g**3 - 10 + 0.\nAnswer: -77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7349?\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j + 5*j**2 - 3*j + 19*j**2)*(8*j**3 + j**3 - j**3).\nAnswer: 192*j**5 + 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 38*u - 302. Calculate n(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 123 + -128. Which is the biggest value?  (a) -1  (b) x  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 11. Let r(d) = -3*d**2 - 38*d - 7. Let x be r(-12). Suppose -36*s + x = -415. Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-3)*(-3)\/48. Which is the closest to n?  (a) -1  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 5:01 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (1 - (2 + -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34 and 14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 22.02, 3, 15, 2 in descending order.\nAnswer: 22.02, 15, 3, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -393864, -393869, -393874, -393879?\n\"Answer: -5*d - 393859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/4837 - -9696\/53207. Which is the fifth biggest value?  (a) 5  (b) l  (c) -0.4  (d) 1\/10  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4*g + 2. What is f(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 3. Let w(d) = -d**3 - d**2 + 3*d - 2. Let r be w(2). Let y = 11 + r. What is the closest to a in y, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24010242 (base 6) to base 16\nAnswer: b6972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 531 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-15 + -75 + -4 + 11 + -7)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 147 and 154.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -344\/471 + 10\/157. What is the third smallest value in p, -0.09, 0.1, -23?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -1514*r + 4. Let g(k) = 35*k. Give g(f(a)).\nAnswer: -52990*a + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 16876*x + 2750791. Determine g(-163).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2608689.\nAnswer: 3, 869563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 4:10 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in 0.5, -135, 46\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19462 + 19477. Put 5, -5, n, -3 in decreasing order.\nAnswer: n, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-260)\/(-32) + 2\/(-16). Suppose 1 = 9*l - a*l. Let v = 0.1 + 0. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37988*u**2 - 241*u - 65540960 wrt u?\nAnswer: -75976*u - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from dwlladwklwd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 5814549, -3 in descending order.\nAnswer: 5814549, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -182.711 + 183. Round x to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m + 1. Let d be s(0). Let h(w) = w - 13. Let y(p) = 3*p - 38. Let z(n) = -17*h(n) + 6*y(n). Let l be z(7). Solve l = 3*u - d - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5a21 + 19?\nAnswer: 5a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - m**2 + 73*m + 387. Let n be c(-7). Calculate the greatest common divisor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z\/z**(3\/7)))\/(z**(3\/10)\/z) assuming z is positive.\nAnswer: z**(79\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51c2c (base 16) to base 7.\nAnswer: 2563235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = u, 0 = -3*f - 0*f - u - 79. Let z be (-34)\/f - (-12)\/(-8). Put -1\/4, 1, z in ascending order.\nAnswer: z, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 10, i: 1, g: 6}. What is prob of sequence jj?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 6077*a - 295. Let i(o) = 62*o - 3. Let x(q) = -295*i(q) + 3*s(q). Let l(z) = -z. What is l(x(j))?\nAnswer: 59*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17905112 to the nearest integer?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**9*l**(6\/11))\/((l\/l**(2\/15))\/(l*l*l**(5\/2))))**42 assuming l is positive.\nAnswer: l**(30443\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (10 - 1) - (-22 + 5 + -69 - -174).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q - 6. Let c(j) = -j**3 + 10*j**2 - 10*j - 4. Let o be c(8). Suppose 0*h - o = 3*h - 5*p, -h + 3*p - 16 = 0. Let d be w(h). Solve -n + 4 = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 10*g + 6. Let o be z(-10). What is the remainder when o\/(-72)*2*-1074 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 147 + -53. Let k = p + -3. Let n = -43 + k. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6 - 1\/(-3). Let w = -79 + 73. Let d(i) = i**3 + 6*i**2 - 5. Let c be d(w). Sort 2, c, y in decreasing order.\nAnswer: 2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -21047, -21047, -21029, -20981, -20891?\n\"Answer: 2*k**3 - 3*k**2 - 5*k - 21041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/14*(-2044)\/(-3796)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11*r - 159. Calculate j(-9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2450384 equal to -2450387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 424887?\nAnswer: 3, 141629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 716348.9 years in months?\nAnswer: 8596186.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/34688172 and -81\/213910394?\nAnswer: 1283462364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 647565 is divided by 1595?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + 101111?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 188436 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1057664 divided by -66104.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*w + 29*w + 6 + w as g + d*w and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46 - 45. Let w be 18\/48 - (-3)\/24. Let h = -5 - -4.9. What is the nearest to h in 1\/4, n, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62347.6 + 3025526.4. Let g = q + -3087958.99915. Let b = g - -85. What is b rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*x**2 + 23390*x - 23390*x - 171*x**2.\nAnswer: -103*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180 less than -152?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - z**2 - 54*z - 70. Calculate g(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 3 + 0 + 2 - 1 + 4 - 2 + 0 + (1 + 5 - 4)*(-2 + 0 + 4) - 2 + 3 - 2 + 3 - 2 - 3 + 1 - 3 + 1 + 2 + 5 - 1)*(3*b - b + 0*b) - 2*b + 2*b - 4*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 455 + -279. What is the lowest common multiple of 220 and m?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r + 3. Let a be c(3). Suppose a*l - 24 = 3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x - 25 + 10*x**3 - 21 + 63 - 21 - 2*x**4 - 2*x**2 to i + w*x**4 + n*x**3 + s*x**2 + p*x and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1468 - -1467.999988964. Round j to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 + 0.44. Let m = t - 0. Which is the biggest value?  (a) 0.4  (b) -1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 i when four letters picked without replacement from mvvvvzivviokzzovkkzz.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 41.4, -1, -0.02 in decreasing order.\nAnswer: 41.4, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/465 or 1?\nAnswer: -2\/465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 145*d**3 + 78*d - 185*d + 55*d + 53*d + d**4 to w*d**4 + u*d**3 + b*d**2 + m + o*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of h**6\/12 - 2*h**5 + 10*h**4 + 4631*h. Factor y(i).\nAnswer: 5*i**2*(i - 12)*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -497 greater than or equal to -494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7026 + -5215. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n - 3*j - 58, -1029 = 4*n - 4*j - 957 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 3*p**2\/2 - 3. Let o(d) = -3*d. Let u(l) = -8*l. Let h(y) = -14*o(y) + 5*u(y). Give h(i(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35672 and 1352?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/21))**(-2\/75)\/(a\/(a*a*a\/(a**(-1\/6)*a)))**0 assuming a is positive.\nAnswer: a**(4\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(19)*-3 + -4 + (sqrt(304) - sqrt(19))**2 + sqrt(19) - (3 + 1*sqrt(684) - sqrt(684) - (sqrt(684) - 1*sqrt(684))*-3)**2.\nAnswer: -2*sqrt(19) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 8, 5 in descending order.\nAnswer: 8, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 100710678 to the power of 1\/2, to the nearest integer?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -77*(-4 + (-3)\/(-3) + 2). Suppose -4*h - 2*n + 357 = -q, 0 = -h - 2*n + 101. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6 - 12\/18. Which is the nearest to -2\/5?  (a) -0.3  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.45 - -184.55. Let a = v + -187.9. Suppose 5*d = -2*k + 29, 0 = -3*k - d + 2*d + 35. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.496339um to millimeters.\nAnswer: 0.005496339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**2 + 13*j + 21*j - 10 - j**3 - 42*j + 5 to k + y*j + c*j**2 + w*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18828*s**2 + 18828*s**2 + 18*s**3.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**3\/2 + 59271*q**2\/2 - 29667*q - 592740 = 0 for q.\nAnswer: -19758, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 0 = -4. Suppose a*y + y = 0. Suppose y = -k + 890 + 250. What is k rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ebz when three letters picked without replacement from nzebnxe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3787 - -17?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 5*h**2 + 10*h - 8. Is 3 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 11) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 25, -4, 1 in descending order.\nAnswer: 25, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 7*d. Let w(n) be the second derivative of -n**3\/3 + 15*n. What is w(u(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*p + 13 = 0, -a - 2*p + 14 = 2*p. Let m(s) = -19*s + 1. List the prime factors of m(a).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2039786 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 114.812 micrograms in grams?\nAnswer: 0.000114812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57923?\nAnswer: 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*1*-1 + -5)**2 - ((-5 + sqrt(17)*2 + 4)*2)**2.\nAnswer: 174 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -3. Let v = 2 - u. Let c = 18 - 21. What is the third smallest value in 3, c, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68083342.\nAnswer: 2, 34041671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 875835.3 centuries?\nAnswer: 8758353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-1 - -4 - 5 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58533933*5.\nAnswer: 292669665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1712 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 36*z**2 + 441*z. Let g(f) = 5*f**2 + 64*f. Let p(k) = -15*g(k) + 2*l(k). Factor p(d).\nAnswer: -3*d*(d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -22, -2, -5, 1 in decreasing order.\nAnswer: 7, 1, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 538*s + 2738 wrt s?\nAnswer: 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2952827, 5905650, 8858471, 11811290, 14764107?\n\"Answer: -n**2 + 2952826*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35941*u - 943 - 35416*u + 943.\nAnswer: 525*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - 4*y**4 - 2*y**4 + 4*y**4 - 2*y**4 + 0*y**4 + (3 - y - 3)*(y**3 + y**3 - 3*y**3) + (0*y**2 - 2*y**2 + 7*y**2)*(-19*y + 19*y - 16*y**2).\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qintd. What is prob of sequence inq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 7*t**4\/4 + 2*t + 8. Let q(z) be the second derivative of 0 + 1\/6*z**3 - 2*z + 0*z**2. Calculate q(a(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 686527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(81\/3))\/(((-160)\/45)\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttpotteooooeeooooo. What is prob of sequence oeot?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**3 + 151*o**2 - 381*o + 472. Calculate k(-78).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -113\/224 + 7\/32. Which is the closest to l?  (a) -0.4  (b) 0  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25242, -201804, -681018, -1614198, -3152658, -5447712?\nAnswer: -8650674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**4 + u**4 - 6*u**4 + u**4 + 0*u**4 + 0*u**4 + (4*u**2 - 4*u**2 + 2*u**2)*(2*u**2 - 2*u**2 - u**2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193274 is divided by 1728?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28) + 3 + -2 + sqrt(35)\/sqrt(5).\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1846, -4205, -6566, -8929, -11294, -13661?\nAnswer: -16030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*h = -17*h + 2580. Let o = 35 - 25. What is the highest common factor of o and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0.24, 0.5, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13789 = 2*a + s, -3*s - 6898 = 1123*a - 1124*a. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-5\/3)*u*u**2)\/((u**6\/u)\/u**3)*((u*u\/(u**(-6\/13)\/u))\/(u\/u**(-10)))**41 assuming u is positive.\nAnswer: u**(-12002\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36226 - 743 = -70*m + 107*m. What is the lowest common multiple of 77 and m?\nAnswer: 10549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 362 + -227. Which is greater: 134 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.12, -46, 0.68222?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of s**4\/12 + s**3\/3 + s**2\/2 - 5*s - 5. Let l(a) be the first derivative of g(a). Solve l(h) = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 252.5663 grams?\nAnswer: 0.0002525663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.3 - 1.3. Let x = -5 + i. Is -4 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**6*r**5*r*r\/r**(-8)*r*r**3*((r*r**7)\/(r*r*r\/r**(-1\/4)*r*r))**(-36) assuming r is positive.\nAnswer: r**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 20486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 21. Let b = p - -15.1. Let s = 2.96 + 0.04. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4  (b) 0  (c) -0.01  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, -2, 33, -2\/3, -0.5, 3071?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*(68\/(-14) - -4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72193423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 11:10 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 120121464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015877935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60720 by -2760.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 2\/5  (c) 1\/167  (d) -14.24  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26*(1852808\/(-15314) + 121)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/18)\/((-4)\/(-16)))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 417?  (a) 1  (b) 5  (c) -0.2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(4400) + sqrt(4400) + (sqrt(4400) - (sqrt(4400) + -3*(sqrt(4400) + (sqrt(4400) - (1 + sqrt(4400)))**2))) + -5)*-3*1.\nAnswer: -300*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 3 - 1. Let t(j) = j - 2*j + x*j - 2*j. Let w(r) = -7*r. Let k be 4 + -1*(-1)\/1. Calculate k*t(z) - w(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22720 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*d + 200 = -45*d. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (0 + 0 - (-4 + (19 - 13)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5135 or -5134?\nAnswer: -5135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28?  (a) 5  (b) -65  (c) -2\/9  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 9  (b) 100  (c) -172  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1245 - -1246. Let j be (1635\/(-162))\/(-5) + -3 + 1. Put c, j, 0.4 in descending order.\nAnswer: c, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 1022 = -274. Suppose -3*x - x = -z. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) 5  (c) 2\/9  (d) -120  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 587704486 is divided by 3749?\nAnswer: 3748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 95 = 57*t - 53*t, 4*t + 3*w + 65 = 0. Let b(z) = -4*z - 58. Give b(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - 4 - -3) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 9 = 3*j. Suppose -b + j = -13. What is the least common multiple of b and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 748 - 252. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 959662 and 9251.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 4*s - 22, -5*l - 5 = -0*s - 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011011110100 + -11011101011?\nAnswer: -101110111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9829, -19659, -29481, -39295, -49101, -58899, -68689?\nAnswer: -78471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 415 + -410. Solve -2*v + 2 = -2*t - 0, -19 = t + a*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 9 + 3)*(3*w - 3*w - 3*w) to d + b*w and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/8*40\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 158 + -158.09. Which is the closest to 0?  (a) -0.1  (b) f  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 12. Let r = 43 + -39. Calculate the remainder when 6\/r*(186\/18 - -5) is divided by o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -8*r - 17. Suppose -6*x - 9 = -3*x + 9. What is u(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 5*h - 4. Let j be s(7). Suppose 3*k = k + 16. Let x = k - -2. What is the highest common divisor of x and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.337 - 1.663. Put 28, -3, y in decreasing order.\nAnswer: 28, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 13*l - 41. Let f be m(4). What is the first derivative of 0*c**2 + 7 - 47 + 96*c**2 + f*c**2 wrt c?\nAnswer: 214*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 11) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1354714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-2016) + (-9775)\/315.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 6 = 2*x, 9 = -5*q - 2*x - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*j + 3776 = 3698 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.63 - 0.03. Let g = -0.6 + y. Let l be (-5)\/6*2\/5. Sort 3\/5, g, l in descending order.\nAnswer: g, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 11*x**2 + 22*x. Let f be l(-5). Solve -2*j = 32 - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9535\/52382 - 1\/4762. Which is the nearest to 0.4?  (a) o  (b) 7  (c) -6\/7  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 4*f - 200, 5*f - f = 2*a - 118. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2*q + 4 = 0, 2*q - 14 = -4*i + 2. Let d(k) = 4*k - 3. Let w be d(i). Find the third derivative of 5*j**2 + 5*j**2 + 9*j**w + 2*j**2 wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77683, -155446, -233273, -311164?\nAnswer: -389119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 40*h**3 - 46*h**2 + 6*h - 2. Is b(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5706 is divided by 760.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6abb (base 15) to base 8\nAnswer: 54224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 5897777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11543 - 10131. Is 0.3 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = u + 9, -6*x = 5*u - 3*x + 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14271 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 - -65. Solve 5*v = 4*i - 19, -v + 3*v = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 11. Suppose -5*g = -3*g - 5*j - 269, 420 = 3*g - q*j. Let p = g + -707\/5. What is the second smallest value in -0.6, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j*(j**(12\/11)*j)\/j)\/j)\/j*j)\/(j*j\/j**26) assuming j is positive.\nAnswer: j**(287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-17))**24 assuming n is positive.\nAnswer: n**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -250.319 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2783*h + 8761*h - 2989*h - 2991*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 113596662 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0954 - -92.2046. Let f = 92 - g. Which is the closest to -1?  (a) f  (b) 2\/3  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 8*q + 2. Let c(t) = -2*t**2 - 40*t + 19. Determine -c(f) + 4*v(f).\nAnswer: -2*f**2 + 8*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(2\/4 + -1)*13. Suppose 2*z = 3*n - 6, 0 = -2*z + n - 2*n - 14. Let h(v) = v**2 - 2*v - 6. Let o(i) = -2*i**2 + 4*i + 13. What is l*h(u) + z*o(u)?\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14 - 104?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*v + 102 = 23*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:43 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224)*-2 - (sqrt(5600) - -2*sqrt(5600)))\/(sqrt(128) + sqrt(128) + 2*sqrt(128) - (sqrt(968)*-2 + sqrt(968))) + 1.\nAnswer: -34*sqrt(7)\/27 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1545305 is divided by 743?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 5260*j + 5199*j + 12 - j**3 - 10643*j in the form w*j + t*j**2 + i*j**3 + q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/(sqrt(24)\/sqrt(48)))**2 + 0 + -1 + (sqrt(304) + -1)**2 + sqrt(19) + 1.\nAnswer: -7*sqrt(19) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4806)\/(-5967) + 108\/(-117)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v**4 + 346*v**3 - 14928*v**2 + 19296*v + 34560 = 0 for v.\nAnswer: -60, -1, 12\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*q + 3*q - 5*q)*(-4 + 12 + 3) - 14*q + 145 - 145 to l + k*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -7994 (base 13) to base 10\nAnswer: -17021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101100011 - -1000?\nAnswer: 10101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2. Let g(c) = -2*c - 2. Let z(w) = -g(w) - o(w). Let s be z(2). Find the second derivative of -r + s*r**3 - 4*r**3 - 2*r**3 + 5*r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m\/(m\/m**(1\/8)))))\/(m**(-1\/11)*m))**(-40)\/(m\/m**(-1\/2)*m**(2\/3))**(24\/5) assuming m is positive.\nAnswer: m**(1153\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-18)*(-423)\/(-94)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 6*k = -52, 2*k - 414 + 442 = 3*x. Let y(p) be the first derivative of 0*p + p**3 - 25\/4*p**x + 0*p**2 + 5. Find the third derivative of y(v) wrt v.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*c + 293 = -483 + 136 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -389 + 58. Let c = g + 343. Solve 0*u - u = 2*z - c, 3*u + 8 = 5*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 0 - 8*n**2 + 6*n + 4 + 2. Let m(k) = k**2 - k - 1. Suppose c = -5*u + 10, 0*c = -u + 5*c - 24. Give u*x(w) + 6*m(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udasuuuyu. Give prob of sequence au.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*r**2*y**2 - 327657*r**2*y + r*y**2 - 5*r*y + 14*y**3 + 327*y**2 wrt y?\nAnswer: 18*r**2 + 2*r + 84*y + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(3 + 1*(sqrt(252) + 0)*5 - (sqrt(252)*-2*4*1 + -5)))**2.\nAnswer: 4992*sqrt(7) + 170608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**3 - 2938*g**2 + 646231*g - 3157830 = 0.\nAnswer: 5, 234, 2699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 903 + -1499. Let y = l + 595.579. Let s = -0.047 - y. Round s to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -3a85a776?\nAnswer: 3a85a772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 4*q**2 - 128*q + 620. Let i be x(5). What is the second smallest value in -1, i, 1\/6, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 1\/30*c**6 + 0 + 5*c + 0*c**2 - 1\/12*c**4 + 0*c**5 + 0*c**3. What is the third derivative of z(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2266*h**3 + 920539*h - 920539*h + (4 - 2*h - 4)*(h**2 + h - h).\nAnswer: 2264*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 18*r**2. Let b(a) be the third derivative of a**6\/240 + 25*a**4\/8 + 70*a**2. Let y(o) be the second derivative of b(o). Determine y(l(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 491.789 grams to tonnes.\nAnswer: 0.000491789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21337.\nAnswer: 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c + 267. Let u(j) = -2*j + 15. Calculate m(u(k)).\nAnswer: 2*k + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288428 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8488 and 1784?\nAnswer: 1892824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -33456230 (base 7) to base 15\nAnswer: -3c5b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 2:24 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (12 + -16 - (-2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + (1 - -48 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11606 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: Solve -3948 = 1936*z - 2124*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -6*s**2 + 2*s + 8. Let y(g) = -g**2 + 1. Let l = 7 - -1. Determine l*y(n) - v(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(22\/12))\/(15\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**3 + r**2 + 2*r - 2. Let i be (-14)\/(-35) - 18\/(-30). Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of 2*a**5\/15 + 2*a**2. Give p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4239 - -32594. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329483.\nAnswer: 7, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 8*f. Let m be h(-6). Let q = m - 4. What is the greatest common divisor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*x**4 + 364*x**3 - 719 wrt x.\nAnswer: -8*x**3 + 1092*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - -15. Let p = 0.806 - 25.286. Let r = y + p. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 8, 4\/23, 0.04.\nAnswer: -0.6, 0.04, 4\/23, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1856)\/(-5104)*22\/(-164)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w**2 + 0*w - 5*w - 2*w**2. Let n(j) = -3 + 4 - 1 - 5*j**2 + 8*j. Calculate -8*k(c) - 5*n(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2005  (b) -2\/9  (c) -17  (d) -2  (e) -2\/5  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + 26. Does 2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45417884255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4)*4\/(-4) + 2. Let l = 9 - 13. Which is the closest to h?  (a) l  (b) 0.1  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 8*p**2 + 2*p**3 - 15*p**2 - 2*p**4 + 9*p**2 as n*p + x + j*p**3 + s*p**4 + g*p**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 11*g**4\/24 + 11*g**3\/6 + 91*g**2. Let w(y) = -4*y - 4. Suppose 15*a - 12*a = -24. What is a*w(h) - 3*n(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 + -55. Let h be ((-20)\/(-48))\/5*198\/(-176). Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 452*v = -2128*v + 7740. Suppose o + 8 = 5*o. Suppose -o - 8 = -2*f. Solve v = b + f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -118 - -118.3. What is the closest to 10\/7 in -5, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 147 - 66. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 12:17 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -4*t**3\/3 - 32*t**2 - 60*t - 150. Find s, given that p(s) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(4\/5)\/g*g)\/g**(-11\/6) assuming g is positive.\nAnswer: g**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7642669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -85.5 + 85. Which is the third smallest value?  (a) -11  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1120)\/(-91) - 16\/4. Which is greater: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 110001 and 1668?\nAnswer: 61160556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 11 - 26*z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of 0 + 72*a + a**2 + 2\/3*a**4 - 5\/3*a**3. Factor t(b).\nAnswer: 2*(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59940 = -2*t + 5*l + 420274, 3*t - 5*l - 720341 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 12. Let r be c(-9). Suppose 1 = -2*l + r. Let n be (-2)\/24*(-6)\/(-4). Is l less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 + j**3 + 0*j**3)*(-j**2 - 2*j**2 + 2*j**2) - 4*j**5 + j**5 + 2*j**5 + 11020*j**3 + 140 - 11020*j**3 + 6*j**5 + 2*j**4.\nAnswer: 3*j**5 + 2*j**4 + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 92627, 93309, 93989, 94667, 95343?\n\"Answer: -i**2 + 685*i + 91943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z*z**(-10))*z*z**0 assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -71*r + 7115. What is the remainder when 2713 is divided by z(100)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17088 + -17323. Which is bigger: v or -238?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -12. Put 5, y, -4\/9 in increasing order.\nAnswer: -4\/9, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22864\/37 - 618. Let u = 80\/111 + z. Factor u*i**2 + 2\/3 + 4\/3*i.\nAnswer: 2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-58))\/(1604\/(-23258))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 - (32 + -24 + (-1 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 65354635, 130709270, 196063905?\n\"Answer: 65354635*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5*i - 58 - 178, 4*t - 240 = 4*i. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + 32 + -18 - (-3 + 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 992 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3664*h**3 - 7*h**2 + 7*h + 14. Let s(k) = 1831*k**3 - 3*k**2 + 3*k + 6. What is -3*g(x) + 7*s(x)?\nAnswer: 1825*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -145 + 136. Put -2\/3, a, 1 in increasing order.\nAnswer: a, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -5 + 6)*(-76)\/(-57)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3063, -1342, 4\/3, 4.\nAnswer: -3063, -1342, 1, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - t = 10. Let m be ((-3)\/9)\/(3\/(-27)). Suppose -5 = -m*j - 17. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l**3 - 125*l**2 - 205*l - 100 = 0. What is l?\nAnswer: -4, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of g**8\/53760 - g**6\/1920 - g**5\/10 - 33*g**2. Let w(s) be the third derivative of l(s). Factor w(m).\nAnswer: 3*(m - 1)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 12:22 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2564163 times 0.3\nAnswer: -769248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.06 and -6112408902.\nAnswer: -6112408901.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -400098771*a**3 + 324399143*a wrt a.\nAnswer: -2400592626*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 278007021 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: Solve 4*a**5\/3 + 64*a**4 + 1148*a**3\/3 = 0.\nAnswer: -41, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b - 1. Suppose 0 = -5*r - 4*f + 63 - 74, -50 = -r + 5*f. Let w(h) = -9*h. What is r*w(c) - 6*u(c)?\nAnswer: 9*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(4\/3)\/(b*b\/(b**6\/b)))\/((b\/((b*(b*b**(-19))\/b)\/b))\/(b\/(((b**(-7\/2)\/b)\/b*b)\/b))) assuming b is positive.\nAnswer: b**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 5*k**2 - 4*k - 6. Suppose 5*t + 4*h - 11 - 27 = 0, -h = -2. Let z be a(t). Let j(f) = 11 - z*f + f**2 - 1 - 3. What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -161\/47, 0.5, 3, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1110010110010010 (base 2) to base 13\nAnswer: 2099a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p + 6 - 2 - 2*p + 0. Let h be c(8). Let m = h - -7. Solve 0 = 4*v - v - 3*g - 9, -3*v - m*g - 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 4  (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -35546 and -13427906.\nAnswer: -13463452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -8552551955 plus -0.2?\nAnswer: -8552551955.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3233215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -4780000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 8*p**2 - 4*p - 9. Let u be h(7). Suppose -u = -7*l + 4*l. Let i(y) = 12 - 18 + l. Let n(s) = -s + 5. Determine -5*i(q) - 2*n(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 213 = 2*w + 5. Calculate the highest common factor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 3*z + 29 = 0, -w - 20 + 22 = 2*z + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7984 + 48585. What are the prime factors of n?\nAnswer: 11, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 112\/48*2\/(-14). Put -5, h, 776 in ascending order.\nAnswer: -5, h, 776","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -14. Let c be (2\/s)\/((-2)\/(-40)). What is the smallest value in 2\/3, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 6 - 16. What is the least common multiple of g and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - r + 51 = 0, 3*x - 45 = 2*x + r. Suppose -7*w = -31*w + x. Let y(q) = -5*q - 1. What is y(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*z**2 + 12*z**3 - 4*z**3 + 123*z**2 - 2*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*b**2 + 0 + 1\/3*b.\nAnswer: -b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uqucqucuuquuuquuqcc. Give prob of picking 1 q, 1 u, and 1 c.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*o + 20763 - 19813 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -40386 and -40388 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**4 - 2*d**3 + 3*d**2 + 6*d. Let l(s) = -3*s**4 + 3*s**3 - 4*s**2 - 8*s. Let t(x) = 4*i(x) + 3*l(x). Factor t(n).\nAnswer: -n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.4 * -171897\nAnswer: -1272037.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 896.4 + -1470152\nAnswer: -1469255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 568 and 10?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence see when three letters picked without replacement from {e: 4, s: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xuusxxsxuxnsunxxxuxx. Give prob of picking 1 x and 2 n.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -r**8\/504 + 29*r**7\/1575 - 59*r**6\/900 + 47*r**5\/450 - 2*r**4\/45 - 4*r**3\/45 - 25*r**2. Solve t(w) = 0.\nAnswer: -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 510 * -957.38.\nAnswer: -488263.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 261.9 + -283. Let w = -7.1 - q. Which is the second biggest value?  (a) -2  (b) 5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -29*i - 6*i**3 - i**3 + 6 + 45*i**2 - 15*i**2 = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -23*i**2 + 45*i + 1370. Let p(a) = -19*a. What is p(w(z))?\nAnswer: 437*z**2 - 855*z - 26030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-351)\/(-90))*13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12729230 + -12?\nAnswer: 12729218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 208675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 take away 0.022?\nAnswer: -33.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 4*j = -9. Suppose 2*n = -17*k + 14*k + 6, 0 = -2*k - j*n + 4. Solve -k*i - 3 = -7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57078 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55 + -34. Let q(a) = 2*a**2 - 28*a - 70. Is 14 a factor of q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 404730.\nAnswer: 404730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 55*k**3 + 29*k + 2. What are the prime factors of a(6)?\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 9*g**2 + 8*g + 23. Let m be s(10). Let u(j) be the third derivative of -j**4\/6 + j**2. Give u(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 5:17 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4 = -0*h + 2*r, 6 = 3*r. Suppose 4*b - 15 = -3. Suppose 10 = 5*f - 5*q, h = -4*f - q + b. What is the greatest common factor of f and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, m: 1, h: 6, n: 1, q: 2, c: 2}. Give prob of picking 1 i, 1 c, and 2 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, 0.057, 1, 2\/7?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 11 = 29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7  (b) 2  (c) 0  (d) -0.074  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -150*r - 3076. Calculate j(-15).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10 + -5 + 9 + -5. Let b be 2 + (g - 4) + -5. Solve -b*y + y = 5*p + 18, 2*y + 3*p + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 164.5 + -165. Let g(m) = m**3 + m. Let v be g(0). Which is the nearest to -2?  (a) t  (b) -0.1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = -2*j - 2*j. Let q = 9 + -23. Let w = q - j. Calculate the greatest common factor of w and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3096657229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (2 - 3) - -4. Let d be -6*(-5)\/(15\/2). Suppose -d + 25 = r. Solve 16 = 2*g - 6*g - 2*p, k*p = 3*g + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 4*k - 4. Give x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13006 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 93*g**2 - 2422*g + 61. Give p(26).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*d - 858 = d + d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**4 + q**3 - q**2. Let y(n) = -8*n**4 - 151*n**3 + 100*n**2 + 106*n**3 + 3*n**4 + 40 - 100*n. Let r(u) = 10*a(u) + y(u). What is l in r(l) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0414135 less than 260096.75?\nAnswer: 260096.7085865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203124334?\nAnswer: 2, 7, 109, 133109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 2*d + 1224. Let n(c) = -3 - d*c + 308*c + 0 + c**2. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 353, 898, 1839, 3374, 5701?\n\"Answer: 33*o**3 + 314*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.25 - 1.79. Let s = 0.887 + -0.847. Let l = s + g. Which is the smallest value?  (a) -2  (b) 2  (c) 3\/4  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 757 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -37, -25, -11, 5, 23, 43?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 145, 539, 1195, 2113, 3293, 4735?\n\"Answer: 131*h**2 + h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -20\/7*m - 37\/7*m**3 - 3\/7*m**5 + 39\/7*m**2 + 4\/7 + 17\/7*m**4 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 1, -25, -73, -149, -259, -409?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4481876 divided by 640268\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.935837 + -0.06399?\nAnswer: -1.999827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 6. Let d = v - 0. Suppose 5*o - d*l - 265 = 0, -3*o + 5*l = -111 - 42. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 13*z**2. Let a(n) be the second derivative of -5*n**4\/12 - 254*n. Give a(c(j)).\nAnswer: -845*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 5.74?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 3 - 12. Suppose -3*r + 4*r + l*v - 4 = 0, 0 = -5*r + 3*v + 38. What is the greatest common factor of 21 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w - 12*w = 4*f, 4*f - 4*w + 28 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 24*a + 54. Let n be u(-26). What is the derivative of n - 4 - 20*k**2 - 51*k**2 + 2*k**4 wrt k?\nAnswer: 8*k**3 - 142*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61607*l + 792 = -61679*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 4.4. Let p = 0.411 + -0.411. What is the third smallest value in -2\/7, q, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (444\/(-259))\/((-2)\/22015) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212397 - 4\nAnswer: -212401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7538 is divided by 350?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3330 - -3326) + 1 + -87?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((150\/(-162))\/(-5))\/(5\/3)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {a: 6, x: 2, j: 3, e: 5, z: 1, s: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 490 = -8*x. What is the remainder when 35\/(-21) + (-194)\/(-3) + -5 is divided by (-4)\/(-10) + x\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2\/9, -1\/17 in increasing order.\nAnswer: -2\/9, -1\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f + 1. Let k(d) be the first derivative of 0*d - 1\/24*d**4 + 0*d**2 + 2\/3*d**3 + 2. Let s(t) be the third derivative of k(t). Give -l(o) - 2*s(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -885 - -1228. Calculate the remainder when k is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.2 - 8. Let p = 13362 - 66808\/5. Which is the nearest to 1\/3?  (a) p  (b) -0.4  (c) y  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 1 = -3. Let u = a + 3. Let f = -311\/10 + 31. Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 200551*p**2 - 13*p - 39. Let x be f(-6). Let l = x - 10364875. What is l rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 4*r**2 - 7*r + 8. Let h be k(5). Let i(x) = 4 + 0 + 2*x**3 - x**2 + 5*x**2 + 4*x. Let j be i(h). Put j, 0.5, 4 in ascending order.\nAnswer: j, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 2*q - 5, w = -4*q + 5*w - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 20 = -6*d. Let q = -4 + d. Suppose -v + q*v = -3. Solve 3*c - y - 2*y = 0, v*c + 3*y = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 439*t**3 + 43*t + 5. Let c(j) = -658*j**3 - 61*j - 7. Calculate 7*a(n) + 5*c(n).\nAnswer: -217*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 733945067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -333222724 to the nearest 10000.\nAnswer: -333220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 278*x - 610 - 780 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 2*x, -7 + 3 = u - 2*x. Suppose u - 16 = 3*n. Let z(h) = 2*h**2 + 7*h + 5. Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**2 + 12*v + 13 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20373?\nAnswer: 3, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10871780 a multiple of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -5, 352, 4?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x. Let j(h) be the third derivative of 0*h + 1\/60*h**5 - 33*h**2 + 0*h**3 + 0*h**4 + 0. What is u(j(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 bigger than 1766\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76119821 to the nearest integer?\nAnswer: 8725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -19 + (22 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 2*c - 2. Let v(j) = -j**2 - j + 1. Let n be 8\/(-10)*(-3 - 2). Suppose 7 - 15 = n*x. Determine x*f(r) - 4*v(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x = 11*x - 108. Sort 0, -251, x in increasing order.\nAnswer: -251, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -5*s - 6, 0 = 5*k - 16*s + 12*s + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001498167152 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3031 = b - 4379, 4*v - 4*b - 5952 = 0. Is v at most as big as 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(6544\/728 + -9). Calculate the highest common divisor of m and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 15 - 7*z**4 + (-2*z + 2*z + z**2)*(-3*z**2 + z**2 + 5*z**2) as w + k*z + m*z**4 + s*z**3 + g*z**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 840.285 tonnes to grams.\nAnswer: 840285000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 - i. Let v(s) = 3*s - 39. Let h be v(14). Let u(a) = -5*a**2 + 0*a**3 - h*a + 2*a**3 - 5*a**3 + 2*a**3. What is 5*r(m) - u(m)?\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6689200 divided by -3.\nAnswer: 6689200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -176 - -196. Calculate the remainder when 33 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z + 1. Let m(s) = 1 + 6*s + s - 15*s + 7*s. Let y(g) = -2*d(g) + 5*m(g). Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4455150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201000111120021 (base 3) to base 15.\nAnswer: -d49b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*j = 4*j + 20, 4*j + 5 = 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 5)*(-l + 0*l + 2*l + (0*l - l + 0*l)*(0 + 1 - 3)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78590194 to the nearest integer?\nAnswer: 8865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -383 - -231. Is -152 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 2*i - 2. Suppose 0 = 69*d - 1132 - 3629. What is the remainder when o(-6) is divided by d?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 15) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9 - 1 - 1 - 14 + 196*j**2 - 2*j wrt j.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -173093*s**5 + 63*s**4 - 17*s**2 + 641*s + 181.\nAnswer: -10385580*s**2 + 1512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/5)\/u)\/(u*u**(2\/7)))**(1\/12)*((u\/(u**(-1\/4)\/u))\/u*u*u)\/(u*u**(1\/4))*u**4*u*u**1 assuming u is positive.\nAnswer: u**(549\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x. Let c(a) = 49*a + 2. Give w(c(t)).\nAnswer: -49*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (o - 2*o - 2*o)*(31*o - 11*o + 2*o) - o**2 - o**2 + o**2 in the form s*o + n + m*o**2 and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, o: 2, b: 1, l: 6, g: 2}. What is prob of picking 2 g and 1 n?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45 + -42. Let i(v) = 113 + n*v - 32 + v - 61. Let w be i(-4). Solve 0 = -k - 5, w*d + 5*k = -5 - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/5)\/(36\/(-135))*(-12)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**2. Let n(z) = -406*z. Calculate n(l(m)).\nAnswer: 1218*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 10, s: 3, i: 2}. Give prob of sequence ssix.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 9*b + 3. Suppose 4*h + 11*r - 9*r = 30, -2*h - 4*r + 6 = 0. Let x be u(h). Solve 40 = -3*i - 5*y, 0 = -x*i - 5*y + y - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.23 - -0.13. Let b = f - -32.1. Let m = b - 32. What is the closest to -2\/11 in -2\/7, m, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321*v**2 + 318*v**2 + 323*v**2 - 964*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 717960, 718119, 718382, 718749?\nAnswer: 719220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 28*f + 19*f - 9*f - 18*f.\nAnswer: 2*f**2 - 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w**2 + 114 - 65*w + 65*w.\nAnswer: -2*w**2 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 2*p**3 - 10 - 1 - 10 - p**2 in the form k*p**2 + j*p**3 + i*p + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 90620732 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 8570*n**2 - 1. Let x(v) = -55*v. Determine x(t(z)).\nAnswer: -471350*z**2 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -131 (base 13) to base 16\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, -4, -3596, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1702*c*w**2 - 11*c*w - 274571*c wrt w.\nAnswer: -3404*c*w - 11*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/((-2470)\/(-171))*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -16, 20, 164, 470, 992?\n\"Answer: 9*w**3 - 27*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 20*w + 103. Let z be v(-10). Solve 3*f + 9 = z*h, 0 = 4*f + 4*h - 15 - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9619 + 9634. Solve 3*a + 3*d + 3 = 6, -3*d = -3*a + q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 6:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52 and 4\/7*(310 - -61)?\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-35)\/(9 + -2))\/(2\/(-6)). Solve k = 5*q - 8*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1221, 4958, 11249, 20142, 31685, 45926, 62913, 82694?\nAnswer: 105317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 385, 644, 905, 1168?\n\"Answer: p**2 + 256*p + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8434*q**5 - 4*q**2 - 191 + 4047*q**5 + 4141*q**5 + 2*q + 3*q wrt q.\nAnswer: -4920*q**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 424*s**2 + 5601*s + 1963. Calculate t(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -97445, -97430, -97415, -97400?\n\"Answer: 15*n - 97460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + o = -8, 4*v - 4 = o + 8. Let w(h) be the first derivative of 0*h - 3\/2*h**v - 13. Let c(g) = 2*g**2. Determine w(c(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.8 + 0.8. Let r = -0.8 - -1.2. What is the closest to 1\/2 in j, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1599567*a*r - 2842155*a - 2*r wrt r?\nAnswer: 1599567*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*f**3 - 1166 + 78*f**2 - 2706 + 85*f**4 + 582*f - 43*f**4 - 44*f**4 + 650*f.\nAnswer: -2*(f - 4)**2*(f + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*j + 2)*(0 + j**3 + 0) + (-j**3 + 0*j**3 + 3*j**3)*(3*j + 25*j + 3*j) - 2*j**4 + 3*j**4 + 0*j**4.\nAnswer: 61*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20843*c = -213402 - 99243 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (300\/360)\/((-20)\/108). Let u = -2.2 - -0.2. Do u and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20758.888 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -13, -2, 3, 26, 91, 1 in decreasing order.\nAnswer: 91, 26, 3, 1, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - k + 1 = 0, -6*s + 3*k - 3 = -2*s. Suppose q + 0 - 5 = s. Find the second derivative of -q*r**5 + 8*r - 11*r + 3*r**5 wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*h + 14 = 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.151 and 2366.\nAnswer: 357.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 6*n - 8*n + 34 = 0, 4*q - 3*n + 30 = 0. Let x be 80\/(-6)*q\/4. Solve -x = 2*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3182011, -6364015, -9546019, -12728023?\n\"Answer: -3182004*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 3*t - 1 = 0, 0 = -4*z - 2*t + 3*t + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5825, 11765, 17817, 23981, 30257, 36645, 43145?\nAnswer: 49757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4296457.771 to the nearest 10000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 233*k**3 + 3*k**2 - 6*k. Let c(u) = 2*u**3 + u**2 - 2*u. Calculate -15*c(y) + 5*x(y).\nAnswer: 1135*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllllyllyy. What is prob of picking 3 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*q**3 - 23*q**3 - 2*q - 2*q**2 + 11*q**3 + 0*q to g*q**2 + i + d*q + m*q**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 1284988 = -4*c + 4*b, c + b - 1284997 = 0. What is c rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 5:53 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243605 = -19*p + 18*p + 6*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 4:43 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h**2 - 7*h + 4. Let c(i) = 3*i**2 - 7*i + 3. Let g(o) = -4*b(o) + 5*c(o). Calculate g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11130153, -22260305, -33390457, -44520609, -55650761?\n\"Answer: -11130152*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 12 + 259*k - 107*k - 153*k + 0. What is a(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 88297*q + 716528*q.\nAnswer: 804825*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 6\/3 + (15 - 6 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -50697255 * -0.2\nAnswer: 10139451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, z: 11}. What is prob of sequence zzr?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, 5\/7, -39, 1315?\nAnswer: 1315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/928 and -97\/2900.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (17 - (10 - (-3 - -6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 5*p - 18. Let y be l(8). Solve 5*i = -d - 3, 3*i - d - 1 = -y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 796 is divided by 43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1667 - 0.8333. Which is the closest to w?  (a) -0.07  (b) -7  (c) 0.2  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -4*r + 1. Let h = 22 + -18. Suppose 3 = h*o - 13. Give w(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42331133 (base 5) to base 4.\nAnswer: -1112231200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.105 in -2, 23, -1, -2\/3, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g - 4*g + 6*g)*(5 - 3 + 3 + (-2 + 1 + 0)*(2 + 0 + 0))*(-3*g**3 + 2 - 2).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1111010?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 292752 divided by -342?\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*d - 9, -o + 0*o = 4*d - 3. Let x(p) = p**2 + 3. Let l be x(0). Let z = l + o. Calculate the highest common factor of 60 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y + 127 - 257 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xmmg when four letters picked without replacement from lcxgcmmh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61329835 - 61329432.00571. Let l = w + -403. Round l to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37271360 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + 2*c)*(-2*c**4 - 2*c**4 - 13*c**4).\nAnswer: 17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -192302800*v**2 - 2384664*v - 2.\nAnswer: -384605600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1100963.\nAnswer: 127, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 889231524 to the power of 1\/2, to the nearest integer?\nAnswer: 29820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13121020010 (base 4) in base 7?\nAnswer: 22320632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1075, -1083, -1105, -1147, -1215?\n\"Answer: -p**3 - p**2 + 2*p - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -109870 at most -109874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a074c (base 13) in base 6?\nAnswer: 22034554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5507593 is divided by 1081?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3*2\/120*-2*1\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b - 3. Suppose 0 = n + 3*n - 12. Let h(u) = 0*u + 3 + 4*u + 1. Let r(s) = n*h(s) + 4*p(s). Determine r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 579 - 313. Let x be (-54)\/(-7) + 76\/m. Calculate the highest common divisor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (376 + 332 - 192)*(-x + 3*x - 4*x)*(-4 - 2 + 3)*(x - 6*x + 4*x) to s*x + u + i*x**2 and give i.\nAnswer: -3096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrtrrnnltt. Give prob of sequence ntn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrrrzzrzrrrrzr. Give prob of sequence rzrz.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 6 + -14 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.9 - 2. Let p be 6\/(-27)*3*(-9)\/2. Which is the closest to -0.1?  (a) p  (b) 4\/9  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m + 3*g - 50 = 0, 35*g - 43 + 7 - 32 = 2*m - 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5*(-3 - -2 - 0). Let y(q) = 6*q**2 - q + 3. Let p(a) = -a + 0 + 1 + 4*a**2 + 1. Determine d*y(v) - 7*p(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, 809, 29.2, 1\/5, -2\/11 in descending order.\nAnswer: 809, 29.2, 1\/5, -2\/11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239199*v**2 - 118876*v**2 - v - 119404*v**2.\nAnswer: 919*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 7*u + 2. Let m be a(7). Suppose -3*c + 6*c + m*h - 40 = 0, 0 = 3*h - 15. Let s = -3 + c. What is the remainder when 12 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnpvvpnnvnnnnnvnh. Give prob of picking 4 v.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - 113)*(-4)\/6. Suppose -k - k + i = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 + 10*k - 4. Let s(g) = 3*g**2 + 19*g - 7. Let i(n) = 5*p(n) - 3*s(n). Let x(v) = 5*v**2 - 2*v - 1. Let r be x(-1). Calculate i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -80719.94, 4 in ascending order.\nAnswer: -80719.94, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/15*(-3)\/(-7). Let o = 6 - 5.5. Which is the biggest value?  (a) l  (b) 2\/5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10244 (base 5) to base 15\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2888 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(8\/11)*r**(3\/4))**(-4))**37 assuming r is positive.\nAnswer: r**(-2405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -60228 and -4966 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (2*(4 - 3))\/((-2)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 892 + 681. Suppose -8*o + m = 5*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2301 is divided by 165?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 202 + 206 - 2321*r - 408 - 7708*r to the form s + q*r and give q.\nAnswer: -10029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-3))\/((-7)\/21). Let o = 4 - i. Suppose 0 = -3*z - 4*m + 4, -2 = 4*z - o*z + 5*m. What is the lowest common multiple of z and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -23*u**2 + 1762*u + 5434. Calculate b(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 r when three letters picked without replacement from brbiqqriii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.09 + -0.01. Let w = 5.2 + -5. What is the closest to x in w, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 192\/(-32)*3\/(-36)*14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -9. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 45) + (-17 + 3 - 3 - (-99 + 94))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 12:54 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**3 - 32*c**2 + 14*c + 70. Suppose 0*x = -2*x - 138. What is the remainder when (-1)\/(0 + 1\/x) is divided by f(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1705992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-27)\/6 + 1)*-8. Suppose -2*w - 6 = -q, -74 = -5*q + 2*w - a. Suppose 11*k = 9*k + 8. What is the greatest common divisor of k and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 758 is divided by 438?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -3. Let l(m) = -m**3 + 7. Calculate the remainder when l(z) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3ff (base 16) to base 2.\nAnswer: 1111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -162954488 divided by -47956\nAnswer: 3398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 41*m + 30. Let w(i) = 122*i + 90. Let h(p) = -11*f(p) + 4*w(p). What is the first derivative of h(z) wrt z?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from appppppppppa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35.8 - -8.2. Let u = -818900114.9999873 + 818900071. Let i = z + u. What is i rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 125651511 and 738?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 + 65876*j - 7801216.\nAnswer: 2*(j - 118)*(j + 33056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(132)*4 - (sqrt(132) + (sqrt(132)*-2 + sqrt(132))*3))\/(sqrt(48)*3*-3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 322. Let n = t + -304.2. What is the smallest value in n, 54, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*h**2)*(-3*h**3 - 1 + 1) + (h**4 + 2*h - 2*h)*(-2*h + 4*h - 3*h).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4*i - 10 = 0, -h - 3*i = -0 - 5. Let r(b) = -3*b**3 + 2*b**3 - 6*b**2 - h*b**2 + 7*b. Let l be -12*(37 - (-435)\/(-12)). Determine r(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/2)\/(15\/(-12))*(-145)\/(-580)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 20 + -28 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x**2\/2 + 10701*x\/2 - 1237695 = 0. Calculate x.\nAnswer: -3785, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/12  (b) -8  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -224 - -234. Solve 6*m = 28 - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**3 - 2*d**2 - 2*d + 1. Let i be p(2). Let c be (-17)\/i - (-4)\/(-14). Suppose 4*j + r = 2*j - 3, -r = 4*j + 1. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 4 - sqrt(5) - (1*sqrt(5) + sqrt(5))*-1)**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 5. Calculate q(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2292 - 2291.96078. Round t to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 7*a**2 + 4*a - 6. Let c be y(-6). Let u(l) = 84 + 9*l - 29 - 30 - 28. What is the tens digit of u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssaaaaaaasaaaaasaaas?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = a + 11, 41 = -12*k + 8*k + 5*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 6916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 60*p - 2803 + 2483 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 4*p**2 - 7*p - 5. What are the prime factors of g(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/45 and 139\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x + 14. Let h be d(-5). Let b be (69\/92)\/(h\/(-4)). Let p be 4*(-5)\/(-6)*b. Solve -p = -5*g + n + 3, 5 = -2*g - 3*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 53*v**3 - 7*v**2 + 7*v - 35. Let a(r) = -26*r**3 + 4*r**2 - 4*r + 18. Let k(n) = 7*a(n) + 4*y(n). Find the first derivative of k(l) wrt l.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 391761\/176300 + -15\/7052. Find the common denominator of -48\/7 and o.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(4 - 2) + -5 + -4. Let s = h - -19. What is the remainder when s is divided by ((-12)\/(-15))\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4451542*x**5 + 27*x**2 - 16088*x.\nAnswer: -267092520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -l**4\/4 - 11*l**3\/3 + 7*l**2 - 13*l - 2296. Calculate j(-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/14*(-63)\/441. Let d be 0 - (-4 - -2) - 3. Is d less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2139.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 10 - (-7 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011 (base 2) to base 14.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 (base 10) in base 3?\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 1. Let h(k) = -6*k - 6. Let l(t) = -4*b(t) + 4*h(t). Let l(f) = 0. What is f?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -1, -40913?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 611 = -s, -3*s - 308 = -326. Solve -j = 16*t - 41 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*s + 14 - 8, 0 = -4*w + 5*s + 15. Suppose w = 52*p - 49*p - 9. Solve -2*u + 2 = 5*f, -2*f = -3*u + p*f + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 108319 - 108756.71. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z = -3*z - 110. Suppose 5*o = y + 8 + 14, 4*y = o + 7. Put -53, y, z in descending order.\nAnswer: y, z, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-4*4 + sqrt(24)\/sqrt(2))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/3 + 2 - (-110)\/(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(105\/10)*(-81)\/(-189)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/8 and 7\/183138.\nAnswer: 732552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 8*m + 4. Let x = -347 - 17. Let j = 357 + x. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -26 and 90989591989?\nAnswer: 90989592015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/4 + (-8)\/32. Let f = -83\/230 + 6\/23. What is the closest to t in f, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*s - 18. Let l = 11 - s. Let w(a) = 5*a**2 + 3*a - 3. Let p(v) = -3*v**2 - 8*v + 3*v**2 - 7*v**2 + 8 - 7*v**2. Give l*w(n) + 3*p(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 7*z + 2. Let y be t(7). Suppose 0*h = -y*b + 2*h + 54, -5*b + 4*h = -132. 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: Is 87039290669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aewimewib. Give prob of picking 1 m, 1 i, and 2 w.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -36514 (base 7) in base 8?\nAnswer: -22455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*9\/(-135)*5\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-8 - -5) - (-3 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 i, and 1 r when three letters picked without replacement from gghhrgiihggg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 197377717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -247 by -29709.\nAnswer: 247\/29709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 735380 (base 9) to base 16\nAnswer: 6aafa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.052 + -0.152. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) 994  (b) -9  (c) 0.6  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) -9  (c) 4  (d) 2\/9  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 + 10*t + 3. Give m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*h + 4. Suppose 332 = h*f + 5*c - 710, 4*f = -5*c + 1381. Let i = f - 208. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4\/89 - 214\/801. Which is the closest to k?  (a) -4  (b) 2  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2 + 31*t + 2 - 33*t. Let h(s) = -12*s**2 + s**2 - s**2. What is h(c(z))?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -1404\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 141 and 6204.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.032 - -0.032. Let x = -0.5 - -0.56. Let a = 2.94 + x. What is the closest to 3 in r, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {k: 2, f: 2, v: 2, l: 1, g: 4, o: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25148.83ng to tonnes.\nAnswer: 0.00000000002514883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72119437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12396 or 12391?\nAnswer: 12396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 181603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3 + 2*sqrt(80) - (-5 + (sqrt(80) + 1 + sqrt(80) - sqrt(80)) - sqrt(80)))**2 + -1.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67 - -69. Solve 0 = -s*n + i - 5, -i = -5*i - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22479 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 20 = -3*p, -4*v = -v + 3*p + 6. Let t(d) = 10*d**v - 303*d + 303*d. Let z(u) = -2*u**2. Calculate z(t(x)).\nAnswer: -200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2976 - -2983. Let h(s) = -2*s**3 + 5*s**2 - 4*s - 1. Let r(q) = 3*q**3 - 7*q**2 + 6*q + 2. Give w*h(z) + 5*r(z).\nAnswer: z**3 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810239771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-8\/5))**(2\/77)\/((f*f**(-27))\/(f**(-25)\/f*f)))**(-33) assuming f is positive.\nAnswer: f**(-1107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2010200 - 22222101010?\nAnswer: -22220020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**3 - 4 - 5*x**3 - 2*x**3 + 3. Let o be g(-1). Solve 2*u = 4*i, 2*i - 3*u = -u - o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence znoz when four letters picked without replacement from {i: 2, z: 2, j: 1, o: 1, n: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 11*w - 7. Determine n(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2. Let w(i) be the first derivative of -i**3\/3 - 1. Determine r(w(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 10. Suppose 4 + 14 = d*m. Let h(u) = -u**3 + 5*u**2 + 9*u - 8. What are the prime factors of h(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -276, -271, -264, -255?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(7623) + 2 - sqrt(7623)) + sqrt(7623) + 1 + 0 + sqrt(7623) + -1)**2 + (-4*(3 + sqrt(7623) + sqrt(7623) + 3))**2).\nAnswer: 38808*sqrt(7) + 1556832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 723174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/1008 and 50\/4227?\nAnswer: 1420272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -106*f**3 + 7*f**2 + 10*f + 1. Calculate a(-1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 475*k + 801320 = 2623*k + 6562*k for k.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 - 1 - (33 - -32 - 81)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.8 - -19.2. Put 7, -1\/3, v, -0.5 in decreasing order.\nAnswer: 7, v, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 + 227. Calculate the remainder when s is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 - -4649247193.\nAnswer: 4649247193.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 252*f - 257*f. Suppose -5*g - 2 = 3. Is f at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + j - 4. Let s be i(2). Suppose 5*n + 3*c + 0*c - 40 = 0, 4*n = -4*c + 40. Is s >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**2)\/r*r)**(-28))**26 assuming r is positive.\nAnswer: r**(-2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 0.73.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 + 71 = -5*o. Let q be o\/(1 - (4 + -4)). What is the units digit of q\/(-7) + (1 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = p + 8. Suppose 4*q + x - 12 = 16, 2*q = x + 14. Solve j + p = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1957, 1956, 1955, 1954, 1953?\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 100715\/108 - 3705\/4. Let t = y - 7148\/1161. Suppose -21 = -5*k + 767*h - 765*h, -8 = h. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-8)*(f\/(f*f**(4\/9)))\/f*f**(2\/9)\/(f*(f\/(f*f**6))\/f))\/(((f\/(f*f**(2\/15)))\/f**(-1))\/(f**6*f*f\/(f*f**(1\/4)))) assuming f is positive.\nAnswer: f**(659\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1579, 3149, 4717, 6283?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.4 + 2.6. Let t = z - 17.9. Let u = 0.1 - t. Put 0, -0.5, u in descending order.\nAnswer: u, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26051 - 25994. What is the lowest common multiple of (6 + 0)*(-33)\/(-6) and f?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1044235500 + 21?\nAnswer: 1044235521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4*i - 30. Let j be 2\/i - (-17)\/(-51) - -2. Suppose -l - 3*z + 67 = -0*z, -j*l = -2*z - 142. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 2*z**3 - 3*z**2 + 5*z + 1. Give s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**3 + q**2 + q + 7. Let b(w) = -9*w**3 + 2*w + 15. What is 6*b(g) - 13*m(g)?\nAnswer: -2*g**3 - 13*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 - -0.01. Let k = 0.16 + y. Round k to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 8:38 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + q - 1. Let y be v(1). Let j(a) = -1 + 2 + 2*a + y - 4. What is j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1979 - 1253. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-460)\/210 - (-1 - (-16)\/14))*1962\/(-12971)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - -3) + -3 + -7 + 8 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -11  (b) -7  (c) 123  (d) 1  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2573543 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 3. Let p be u(-4). Suppose -2*l - 1 = p. Is 2\/l*57\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*f**2 + 3)*(36 + 43 - 4263*f**2 - 79).\nAnswer: -8526*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 26*s**2 + 53*s - 84. Let l be p(-28). Solve 3*m + 5*w + 21 = l, 3 = -4*m + 2*w + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.064292*-65.6\nAnswer: -69.8175552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 60*((-391)\/(-85))\/23*15\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/14 in -2\/23, 441, 261?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 + -22.9. Let o = d + 1. Let i = 314\/5 + -63. Which is the nearest to i?  (a) 1  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 7*i + 7. Let q be g(7). Suppose 5*z = q + 98. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.01 from 12.67.\nAnswer: 12.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(18 - 12))\/1. Put -4, 1, b, -5 in decreasing order.\nAnswer: 1, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -g**7\/70 + 23*g**6\/10 - 1011*g**5\/10 - 1081*g**4\/2 - 2209*g**3\/2 + 71*g**2 - 11. Solve r(f) = 0 for f.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 2 - 2)*(42*w - 2*w + 0*w)*(0 + 3 - 4).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2947*f**6 + f**5 + 3*f**4 + 944*f**2 + 25?\nAnswer: 353640*f**3 + 60*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (120*l + 8*l + 839*l)*(l - 3*l + 0*l).\nAnswer: -1934*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-462)\/(-245) + 80\/(-50). Which is the third biggest value?  (a) i  (b) -0.003  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, z: 3, e: 2, m: 8}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -180 divided by 2\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -14 + (-3 - -26)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2 - 3*j. Let m(g) = 3*g**2 - g**2 + 78*g - 78*g. Determine a(m(b)).\nAnswer: -8*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -228 - -68.5. Let g = h - -159. What is the smallest value in g, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-15)*6\/(168\/10).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12.2 + 8.2. Let t = -4.0517 - i. Round t to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66260 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1994*p*y**2 - 53892*p + 3*y**2 with respect to y.\nAnswer: 3988*p*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, 641, 1992, 4035?\nAnswer: 6770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + j - 1. Suppose 0 + 2 = -y. Determine u(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 12 - 36 = 0. Suppose -d = 2*r - 22. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 10*v**3\/3 + 3*v**2\/2 - 13*v - 307. Suppose 4*z - 5*j + 9 = 0, 3*z = -3*j + 12 + 15. What are the prime factors of g(z)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2653, 3031, 3451, 3937, 4513, 5203, 6031?\nAnswer: 7021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -840*q - 154*q + 1131 + 5827 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.49 + 0.6. Let v = m - 0.51. Let w = 0.816 - 0.706. What is the closest to w in v, 2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8695?\nAnswer: 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*v + 16, 74 = 2*h + h - 4*v. Solve 5*x = -3*t - 19, t + h = -4*x + 2*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2374222125.\nAnswer: 3, 5, 11, 17, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -7  (c) 2  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 169 - 166. Suppose -r*w = 2*f - 27, -5*f + 0 = -w - 25. Let c(g) = g**2 - 2*g - 2. Calculate c(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1141 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8753012*a**3 + 5310050*a**2.\nAnswer: 52518072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1 + sqrt(180))*5 - sqrt(180))**2*5.\nAnswer: 3600*sqrt(5) + 43575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z**2 - 3807320*z - 15229200 = 0 for z.\nAnswer: -761460, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 540 - -455. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/504 and 139\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.54 - 0.08. Let h = 0.18 - s. Let m = -0.84 - h. Round m to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1323662934 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 687 + -450. Let k = f - 237.578. Let m = k + 0.5779661. What is m rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-55)\/15 + (-14)\/42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5787 divided by -44223?\nAnswer: 1929\/14741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12118648771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dkr when three letters picked without replacement from rdadakro?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*d + 18 = -786*d + 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6299, 0.04, 0.7 in increasing order.\nAnswer: 0.04, 0.7, 6299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.03  (b) -2  (c) -0.2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10300 (base 5) to base 16\nAnswer: 2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227*d**3 - 178*d**3 - 6*d**2 - 66*d**3.\nAnswer: -17*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118252 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 9*t**2 + 94*t. Let a(w) = -55*w**2 - 565*w. Let v(o) = -4*a(o) - 25*n(o). Factor v(p).\nAnswer: -5*p*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(2\/5))**(3\/8)\/(h**(-2\/15)*h)**(15\/11) assuming h is positive.\nAnswer: h**(-421\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (297\/462)\/(385\/80 + -5)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6888 and -120?\nAnswer: -826560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10333 - 12104?\nAnswer: -22442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x = 2*h + 7 + 28, 0 = 10*h + 22*h - 6*x + 7*x + 893 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w = -787 + 843 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**2 + 2*n**2 + 4*n**2 + (1 - 1 + n)*(3*n + 2*n - 3*n) + 0 + 0 + n**2 + n**2 + 0 - 3 + 1 + (2*n - 6*n + 2*n)*(0*n + n + 0*n).\nAnswer: 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.204 - 13.796. Let d = 11 + b. Sort -1\/7, d, 0.11 in descending order.\nAnswer: 0.11, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 4*a**2 + 4*a - 7. Let z be d(3). Let w be (-6)\/z*((4 - 3) + 1). Solve -5*k + w*b - 20 = 0, 5*k + 2*b + 0 = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 287\/82*(-60)\/(-14). Let c(s) be the second derivative of -s**5\/20 + 7*s**4\/6 + 8*s**3\/3 + 27*s**2\/2 - 2*s. Is c(x) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 32 = 5*p. Solve 0*t = 2*v - 2*t, 3*v + 5*t = -p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 9, 0, 153, -3 in ascending order.\nAnswer: -8, -3, 0, 9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -59\/8495892 or 1?\nAnswer: -59\/8495892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1245*b**2*k*t**3 + b*k*t**2 - 2*b*k + 4*b*t**3 + 6*k*t**3 wrt b?\nAnswer: 2490*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 4*a. Let t be (3 - 20\/8)\/(2\/8). Give p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 1 + 3. Let u(o) = -r + 3*o + 30*o**2 + 3*o - 28*o**2 - 42*o**3. Let z be u(3). What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*v + 4 = -43*v. Let s(w) = 2*w**2 + 4*w. Give s(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 170957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 146*c**2 - 166*c - 191. Is g(164) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-36)*r\/(r**34\/r) assuming r is positive.\nAnswer: r**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b**2 - b + 6. Let h(q) = 7*q**2 - 2*q + 6. Let j(c) = -5*h(c) + 6*s(c). Determine j(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2 + 3*j**2 + 1 + j**2 - 6*j + 3*j. Let w be l(1). Solve -2*i - w*g = 16, g + 2 = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of 3*u**4\/4 - 51*u**3 + 1080*u**2 - 5184*u + 1124. Factor l(a).\nAnswer: 3*(a - 24)**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -3a1314e?\nAnswer: -3a1314e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3332*t = 3399*t - 186 + 52 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and 2.2470864.\nAnswer: 1.7470864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k + 0*k - 8*k**3 + 474*k**3.\nAnswer: 466*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -1 + 3 - (-10 - -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -963, -2229, -3383, -4419, -5331?\nAnswer: -6113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -6*q. Suppose i - 4*i - g + 175 = q, -i + 2*g + 49 = 0. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -y**7\/21 + y**5\/10 + 11*y. Factor i(m).\nAnswer: -2*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -6.8. Let m = g + 4.8. Let q = -3 + m. What is the second smallest value in q, 3\/2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -3, 4, 4\/9, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -15, 4*r = -0*r - 4*y + 64. Let h(x) = r*x + 5 - 11*x - x. Calculate h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -633*p**5 - 7*p**4 - 2*p**2 - 505*p?\nAnswer: -37980*p**2 - 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2*12\/15)\/(-2))\/(3763\/6035*-34).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*-2*15\/10. Let g be -2 + ((-6)\/(-3) - p). Suppose 8*a - 45 = g*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, c: 2, t: 2, p: 2}. What is prob of picking 1 t and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 26. Let k = -8 - q. Is k < 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-115)\/(66\/(2772\/105)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of 4*x**7\/735 + 23*x**6\/140 + 233*x**5\/210 - 39*x**4\/14 - 24*x**3\/7 + 4047*x**2. Let m(l) = 0. What is l?\nAnswer: -12, -6, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -893 - 369 = -179*d + 251*d - 110 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 34)*16\/24. Let s = 1217 + -5977\/5. Let a = q + s. Are a and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6088 and -0.07?\nAnswer: 6088.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -3, -4, -2, 1, 1018 in descending order.\nAnswer: 1018, 1, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from ttqttttttqtqtttqttt?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 + j**2 + 6*j - 1. Give h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - -73985080?\nAnswer: 73985053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 30*l + 702.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l**(-1)))\/(l*(l*l**(1\/10))\/l)*l**(4\/7)\/(l*l**(-3\/7)*l))**(-1) assuming l is positive.\nAnswer: l**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -25, -x + 25 + 87 = 12*u - 101 - 22 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**4\/13 - 592*d**3\/13 - 41326*d**2\/13 + 375136*d\/13 + 415872\/13 = 0?\nAnswer: -152, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f\/(f*f*f**(-3)*f*f*f)*f*f**(9\/2)*(f\/(f\/(f**8*f*f)))\/f**24 assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*m + 2*p = 158*m - 6, 0 = -2*p + 6. Let x be (-3243)\/(-2) - (-1)\/2. Suppose 1462 + x = m*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (13 - (-6 + 6 + -10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*n**3 + 3*n**2 + 3*n**5 + 0*n**2 + 15*n**4 - 6*n**4.\nAnswer: 3*n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118363?\nAnswer: 7, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7146 + -7086. Solve -18*s = -30*s - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3106660 + 222436 = -24864*f for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 6*r**2 + r + 175. List the prime factors of b(12).\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 91, 5, 4.\nAnswer: -4, -1, 4, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 2*g + 8. Let m be b(-2). Let s(a) = -9*a - 7*a**3 + m + 3*a - 3*a**2 + 8*a**3 + 2. What is s(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.54104 + -0.5410424637. Round n to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 947698 greater than or equal to 947698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1667?  (a) 0  (b) -1\/13  (c) 0.3  (d) 0.8  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.3?  (a) -0.11  (b) -26  (c) 0  (d) 4  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -164 - 232. Let r be 0*(o\/(-110) - 2\/(-5)). Solve 0*w = w + 3*g - 12, -2*w + 5*g - 20 = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/((-945)\/12)*9\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s - 3*s - 11*s - 2*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 17*r**2 - 40*r + 35. Let i be y(19). Suppose -p = p. What is the closest to i in p, 0.4, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 10:21 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 192 - 180. Let l(m) = 5 + 7 + 10 - 26 + 11*m + d*m**3. Let q(p) = -3*p**3 - 3*p + 1. Give 6*l(u) + 22*q(u).\nAnswer: 6*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/(-2))\/(6\/(-36)). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {i: 8, y: 7, z: 5}.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 408.769833 + 0.100167. What is l rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 + (54 - -46) + -40?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 84496 divided by 5\nAnswer: 84496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 503424 and 211968.\nAnswer: 4027392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 0*h + 115*h**4 - 117*h**4 - 15)*(10*h - 10*h + 9*h).\nAnswer: -18*h**5 - 27*h**2 - 135*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*m - 767 + 767. Put m, -5, -1, 1 in descending order.\nAnswer: 1, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -40 or -1668\/41?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*v*x**2*z + 11*v*x*z + 4*v + 10*x**2 + 6*x*z - 20*z + 6 wrt z.\nAnswer: 2*v*x**2 + 11*v*x + 6*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 5. Suppose 3*t - 2*f - 31 = -y*t, -f = 5*t - 22. Suppose 0 = 3*m - m - 12. Calculate the smallest common multiple of m and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 509 divide 143275048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 t when three letters picked without replacement from toptopopppjooottpopp.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) 277858  (c) -2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 665 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twwwjwjjjwwwjwj. What is prob of picking 1 w and 1 j?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1168 and -405625.\nAnswer: 473770000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + a**2 + 2*a + 2. Let j(t) = 18*t**2 - 7*t + 20. Calculate the smallest common multiple of j(2) and q(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**2. Let v(x) = -x**2 + 9*x - 10. Let s be v(7). Suppose 0 = -s*f - 3*y + 19 + 9, -4*y = 0. Let l(k) = 3*k + f*k + 2*k. What is b(l(p))?\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1454808833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + 22*r**2 + 9*r**2 + 9 - 9 - r**3 as s + a*r + l*r**3 + z*r**2 and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**3 + 0*v**3 - 3*v**3 + (2*v + 3*v**2 - 2*v)*(-20*v - 14*v + 19*v) + (-2*v**2 + v**2 - v**2)*(2*v + v - 2*v) - v**3 - 2*v + 2*v.\nAnswer: -49*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 12:45 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y**2. Let n(f) = -3*f - 4*f + 8*f. Calculate z(n(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -14*g**2 - 106*g + 145. What is p(6)?\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 139600813 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 12:59 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1842505992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*m - 68*m + 23 + 24 - 47.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 13391954342.\nAnswer: 13391954347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -4*j + 6*j - 429, -4*j = -5*c - 433. Let o be 2 + (5\/5 - c). Let z = o - 76. Calculate the remainder when 18 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 5*d**2 + 3*d + 3. Let g be (-172)\/(-10) + (-7)\/(245\/(-28)). Suppose -26 = g*v + 28. What is a(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62400 + -24643. What are the prime factors of j?\nAnswer: 17, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-22) - (685\/165 - 5). Let p(d) be the first derivative of 1\/6*d**4 + o*d + d**2 + 2\/3*d**3 + 3. Factor p(m).\nAnswer: 2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -1. Let n(a) be the first derivative of -a**2\/2 + 8*a + 1. Let s(j) = 4*d(j) + n(j). Is s(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**0)**(2\/53)\/(q**(-1))**(14\/3) assuming q is positive.\nAnswer: q**(748\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 22\/(-16))\/((-3)\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -3, 4, -0.43 in descending order.\nAnswer: 4, 0.1, -0.43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -309 divided by -7.\nAnswer: 309\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 94809263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjxwz. What is prob of picking 1 m and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j - 13. Suppose -97*z + 109*z + 24 = 0. Let m(u) be the first derivative of -u**2\/2 + 3*u - 1. Determine z*l(p) - 9*m(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3316417 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 0*x + 2*a, 4*x + 0*x + 12*a = 9*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hukuuhkhuukkhkahhkh. Give prob of sequence hku.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -155 (base 6) in base 15?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b + 65 = 21. Let g(t) = -1. Let k(p) = -p**2 - 12*p - 4. Let w(q) = b*g(q) + k(q). Let u(d) = 4*d. Give -12*u(a) - 4*w(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3604721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of 3*g**4\/2 - g**2\/2 + g - 74. What is a(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z**3 - 4*z + 4. Let w be m(2). Let h be (-7)\/(w\/32 - 1). Suppose 5*v = -0*v + 40. What is the greatest common factor of v and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 115783 divided by -921\nAnswer: -115783\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkdqsrkd. Give prob of sequence kqbs.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - t + 2. Let f(x) = x**3 - 6*x**2 + 6*x - 5. Let d be f(5). Let a be c(d). Let y be (-2)\/a + 2 + -2. Which is greater: -1\/2 or y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -231\/5. Let w(a) be the second derivative of 0*a**2 + 0*a**4 + 0 - 1\/6*a**3 - z*a**5 - a. Calculate w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -2*p + 51400, -2038*k = -2039*k - 2*p + 12850. Is 75 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 - -44. Is -39 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/60 and 4\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -104, 19, 4.\nAnswer: -104, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 339510 to the nearest one thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -29 (base 11) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 31*r**3 - 280*r**2 + 15*r + 71. What is j(9)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2527120?\nAnswer: 2, 5, 31, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.69 + 2.31. What is the nearest to 0.4 in -0.3, r, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280116 and 5344292?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 32059 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (3492\/(-970))\/(1\/(5\/4))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3912 - 3728.1. Let m = -175 + v. Let x = m - 9.12. What is the third smallest value in 4, -2, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**2*n**4 - 45*h**2*n + 9*h**2 + 3*h*n**4 + 692*h*n**3 - 6*h*n**2 wrt n?\nAnswer: 48*h**2*n + 72*h*n + 4152*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 - 5*y + 5*y)*(-y - y + y) + (y**2 - 2*y + 2*y)*(0*y + 4*y - 2*y) + y**3 - 4*y**3 + 6*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 8*p**2 + 5*p - 10. Suppose h + 2 = -5. Let v be o(h). Let k = -4 - -6. Solve w - k*w - v = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -3*a**2 + 84399*a - 84396 = 0.\nAnswer: 1, 28132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4 + 1 + 2 - 7*s + 6*s. Let k(p) = 4*p + 2. Give -2*k(d) - 6*n(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172249.\nAnswer: 7, 11, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0*d = 5*d - 325514, 3*c + 325498 = d. Let m be (-13*6\/c)\/(1\/2). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 885\/944*(-8)\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i = -0*i + 44. Let v be -1 - (-2 - 2 - i). Suppose -4*a = 0, 6*a + 10 = 5*l + 2*a. Sort 5, l, v in ascending order.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -10*y**3 + 6*y - 2. Differentiate s(t) with respect to t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5*q. Let i(r) be the second derivative of 5*r + 0 + 0*r**2 + 0*r**3 + 1\/12*r**4. Determine i(c(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 6:00 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 465775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from yuggcuuryncr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17463*g = 8723*g + 8727*g - 65 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times -3.761\nAnswer: -0.11283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5599378567\/42225316 + 2\/1508047. Let q = d + 1014\/7. Calculate the common denominator of 2\/13 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 16, 49, 104, 187, 304, 461, 664?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 - 18. Let o = 18.1 + -3.1. Let k = o + -10. Put c, k, -4 in increasing order.\nAnswer: -4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 3:51 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -6, -3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*h - 1754. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, c: 2, u: 1, x: 1, m: 1, g: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3526771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41.025 + -0.025. Let h = -40.95 + n. Let v = -0.049999 + h. Round v to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/68*165*16\/(-20).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 903 or 1041748\/1155?\nAnswer: 903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 255953\/35 + -7313. Which is the fifth smallest value?  (a) 0  (b) -3  (c) x  (d) -2\/3  (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 158142?\nAnswer: 158141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3297 - 3297 - 26*h)*(-15 + 54 - 18 + 23) to g*h + m and give g.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 5*r + 22 = 0. Let c = 37 - r. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 836 and 134805?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -289?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5260979 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -9*i - 11. Calculate b(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 365 + -364.5. What is the third smallest value in 2, -3, s, -1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of i**7\/210 + i**6\/18 + i**5\/15 - 4*i**4\/3 + 55*i**3\/6 + 2*i**2 + 3*i. Let l(c) be the first derivative of u(c). Factor l(g).\nAnswer: 4*(g - 1)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - i + 3 = -2, -4*i - 31 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/12560 and 19\/58024.\nAnswer: 91097680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 13 - 1) + -12 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 1:25 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(95)\/sqrt(45) - (5*sqrt(171)*2)\/sqrt(9).\nAnswer: -29*sqrt(19)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 + -37. Solve 0 = 2*s + 4*k - 14, v*s - 3*k = -2 + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -64 - -44. Let g = -174 + 178. Let i be (-11)\/(-5) + g\/k. Let j(b) = -3*b + 3. Determine j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -17. Let v = -12.9 + p. What is the closest to v in 0, -5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 4*q**2 - 3*q. Let n be x(3). Suppose -z + 5 + n = 0. Suppose -z*o + 10 = -0. Calculate the greatest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 346627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007613 to 5 dps.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w - w**2 + 0*w**2 - 1 + 4*w + 4. Let g(j) = 9*j**2 - 54*j + 8. Let t be g(6). Give r(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.1, 2\/113, 1303, 0, 2\/7 in increasing order.\nAnswer: -4, 0, 2\/113, 0.1, 2\/7, 1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (37 - -13) + -8 + (-1 - 0)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - l + 3*l**2)*(-6 + 2*l**2 - l + 3 + 2).\nAnswer: 6*l**4 - 3*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262601 is divided by 415.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 178*r - 6. Let y(q) = -121*q + 4. Let t(w) = 2*j(w) + 3*y(w). Let v(g) = -306*g**2. Determine t(v(m)).\nAnswer: 2142*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674680 is divided by 154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79063040?\nAnswer: 2, 5, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (106 - 4*u**2 - 106)*(0 + 0 - 4*u) + 0*u**2 + 0*u**2 + 2*u**3 + (-2*u**2 - 1 + 1)*(-2*u + 2*u - 2*u).\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0712 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21572 is divided by 7190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 721758916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 33*c**2 - 35*c + 2. Let b be x(32). Let r = b + 86. What is the third biggest value in -2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 1.8102, -0.2, 2 in decreasing order.\nAnswer: 2, 1.8102, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 707 + -360. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 12 - 9. Let t(m) = 17*m**2. Let p be t(-1). Let z = o + p. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/6)\/(18\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 880*m + 1209*m + 648*m + 82110 = 0 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 15 + 13 = 0. Which is the closest to f?  (a) 0  (b) 1  (c) 1\/5  (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5*v + 2*v - 10*v - v. Let z(y) = 2*y. Determine z(u(j)).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1060 - -1928. List the prime factors of g.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*m + 25*m = 4*g + 30, 33 = -5*g + 2*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 + -31. Let v(k) = 20*k**2 - 20*k + 15. Let w(r) = -7*r**2 + 7*r - 5. Let y(s) = i*w(s) + 6*v(s). Does 9 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 736943.7 meters to kilometers.\nAnswer: 736.9437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -560740*b - 933220*b - 379749*b.\nAnswer: -1873709*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 3) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 6. Let p = -8 - -4. Which is the nearest to j?  (a) -1  (b) -0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2149 to 3 decimal places.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvrv when four letters picked without replacement from {r: 13, v: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) + sqrt(209) + 3*((-2*sqrt(209) - sqrt(209)) + sqrt(209)) + (sqrt(209) - sqrt(209)*-2*4))\/(sqrt(99)\/(sqrt(288)\/sqrt(2))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3, 17, 57, 135, 263, 453?\n\"Answer: 2*p**3 + p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -j. Let l(g) be the second derivative of 0*g**5 + j - 2*g - 1\/6*g**3 + 0*g**4 + 0*g**2 - 1\/15*g**6. What is the second derivative of l(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172767 times -0.15\nAnswer: -25915.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2478155*h + 1239079*h + 1239097*h.\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 5 = k - d, 5*d = -10. Let w(g) = g**3 + 6*g**2 - g - 8. Let z be w(-6). What are the prime factors of (-6)\/(k\/z + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 2*p = -4. Suppose 4*h - 9 = -w, w = -3*w - 12. What is the highest common factor of h and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3263 + 5777. Suppose c = 75*n - 69*n. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14735021 to the nearest integer?\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -224.13474 and -0.2?\nAnswer: 44.826948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*r*u*y**2 + 59*r*u*y + 7*r*y - 684*u*y**2 - 5*u*y wrt r?\nAnswer: -3*u*y**2 + 59*u*y + 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 146 - 251 + 105 - 4*k. Let u(i) = 7*i**2 - 5*i. What is n(u(w))?\nAnswer: -28*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 - 877\/20. Find the common denominator of (-1)\/2 - 83\/(-192) and k.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110001110 - -101000011?\nAnswer: 10011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 9*i - 4. Calculate l(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-5 + 176\/99). Is 4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-17)\/68 - 72\/44 and 91\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.35 - 4816.86.\nAnswer: -4816.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-348)\/28 + 11\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02646587 rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6931 + -6742. Solve 187*c - i*c + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1350959669?\nAnswer: 1663, 812363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 20*h**3 - 7*h**2 - 6*h. Let c(k) = 39*k**3 - 13*k**2 - 11*k. Let d(f) = 6*c(f) - 11*r(f). What is the third derivative of d(n) wrt n?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4950 times 2.9\nAnswer: 14355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2054 is divided by 235?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4*p + 0*p - 3*p - 2*p. Let w be i(5). Sort -3, w, 4.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 14. Let w be 3\/(-4)*-4 + -3. Suppose w - 4 = -b. Solve -19 - k = b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2399406*i**2*p**4 - i**2*p**3 + 2*i**2*p - 62515*i**2 + 2*p + 1 wrt p?\nAnswer: 28792872*i**2*p**2 - 6*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 240768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - l = 5*s, 2*l + 3*s = -19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-7)\/(-7))\/1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1977693273 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6080 - -6404. What is the remainder when i is divided by 221?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 24 = 5*z. Suppose 2*m = -5 + 1, z = 3*o + 4*m. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - (-100)\/(-26) - (-11833)\/(-76999). Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**3 + 1484 - 1484.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 146, 226, 238, 182, 58, -134?\n\"Answer: -34*g**2 + 182*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3))**(24\/11)*(b\/b**(-5\/7))\/b**1)**11 assuming b is positive.\nAnswer: b**(-449\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of r**5\/20 - r**3\/2 - r**2 + 6*r - 2. Let o(v) be the first derivative of x(v). Determine c so that o(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 2*y + 6. Suppose -3*z = -2*z - y. Suppose -z*p - 2*p = i + 12, -2*i - 4*p = 8. Solve 2*t = 4*k - 18, i*k - 2*k - 2*t - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 - (6 - (-1 - -4)) is divided by (-13)\/(-2) + 2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17.913612s?\nAnswer: 0.2985602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12054 and 9331518.\nAnswer: 65320626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (((-10)\/(-245))\/((-132)\/(-308)))\/((-11)\/(-77))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -2.84.\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 2078423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 - 36*l**3 + 30.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (175*f**3 + 69*f**3 - 2770*f + 2772*f)*(3*f + f - 2*f).\nAnswer: 488*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4\/3 - 12*u**3 - 448*u**2 - 10780*u\/3 - 8918.\nAnswer: 2*(u - 39)*(u + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 621450468?\nAnswer: 2, 3, 181, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 2\/9, -0.03, 7.\nAnswer: -2, -0.03, 2\/9, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 12, x: 3}. Give prob of picking 3 l and 1 x.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 2\/11, -1, -113, 0.3, -2 in descending order.\nAnswer: 0.3, 2\/11, 2\/13, -1, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxv when three letters picked without replacement from xxvvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004405179092 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hohhhghhhohhd. What is prob of sequence hdgh?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 153, 596, 1873, 4410, 8633?\n\"Answer: 71*a**3 - 9*a**2 - 27*a + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7502 + 6525. Let a = m + -14051.886. Let f = a + 25. Round f to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 287, 2457, 8361, 19865, 38835, 67137, 106637?\n\"Answer: 311*g**3 + g**2 - 10*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10728 (base 11) in base 10?\nAnswer: 15518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8700 = -216*w + 42*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1244285250 rounded to the nearest 100000?\nAnswer: 1244300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**3 - 17*z**2 - 28*z - 24. Let l be k(10). What is the closest to 0 in 0.3, l, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 2 = 8*y. Suppose 4*w - 3*t - 110 = 0, 0 = 2*w + y*w - 4*t - 108. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b + 412 = -12*o, -34*b + 32*b + 5*o = -158 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -3*k**2 - 2. Let x be m(2). Let s be ((-12)\/x)\/((-3)\/21). Let r(p) = -6*p - 9. What are the prime factors of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 173392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03752 to 3 decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1.2, 36, -0.5, -8?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(175) - (sqrt(175) + 0)*4)**2 - (2 + (sqrt(28)\/sqrt(2))\/sqrt(2))) + -1)*5.\nAnswer: -5*sqrt(7) + 7860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1020489 is divided by 9277?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g**2 + 2*g - 2. Determine y(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -886 by -3857.\nAnswer: 886\/3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -103*f - 12. What is the units digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 5 + -1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) - (sqrt(567)*1 + -5)**2) + 0 + 1 + sqrt(567).\nAnswer: -591 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-2)\/6*(189\/(-315) + (-90)\/(-125))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 19*t**8\/14 - 5*t**4 - 41*t + 2. Find the third derivative of o(v) wrt v.\nAnswer: 9120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-544 - 777 + 2069)*(-2*l + 4*l + 0*l).\nAnswer: 1496*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/35 - (-191)\/7. Calculate the common denominator of 37\/2 and 9\/(-27) - 38\/v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-14\/9)\/c)\/c**(-18)*(c*c**(-1\/13))\/c**(4\/7) assuming c is positive.\nAnswer: c**(12937\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g = -21*g - 10. Suppose -g*i + 18 = 6*c - 5*c, i = -4*c + 79. What is the remainder when 59 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -115*p**3 + 2*p**2 + 4*p + 3. Let v be r(-2). Let m be (-5 + 5 + -2 + 1)*-423. Let f = v - m. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -24\/5 + 108\/5*k + 9\/5*k**3 + 54\/5*k**4 - 138\/5*k**2 = 0. Calculate k.\nAnswer: -2, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13816 smaller than -13580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/7 - 494*n\/7 - 5640\/7.\nAnswer: -2*(n + 12)*(n + 235)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 61. Is x bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31*2186\nAnswer: 67766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/9)\/a)\/a)\/(a\/(a**(-5)*a))*(a*a\/(a\/((a**(2\/21)*a)\/a))*a*a)\/(a\/(a\/a**(1\/3))) assuming a is positive.\nAnswer: a**(-260\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -314*((-216)\/(-16))\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - (-1)\/(-1))*(-2)\/3. What is the remainder when (2 - 40)*-1*(-3)\/x is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4760\/(-3927)*(-3)\/8?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2567613 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 2 - -2) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 153700779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 300032 - 32322332?\nAnswer: -32022300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1572, -2437, -3310, -4191, -5080?\n\"Answer: -4*f**2 - 853*f - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 + 3521*(36\/(-6) - -7)?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 34 - 20. Solve 0 = -3*c - p*c - 5*i, -32 = 4*c - 4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0753587 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 5*d - 11, -5*r - 100 = -5*d - 85 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (33099\/22)\/(-59)*2\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 14*b**3 - 99*b**2 + 4*b + 30. Calculate w(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1309.8 + -1201. What is j rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 472 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j - 3*j - 12*j**2 + 117*j**2.\nAnswer: 105*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t + 4*o + 27, 0 = -t - 3*o - 56 + 44 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 88 and 69651648.\nAnswer: 69651648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1844, 18.7, 0.2, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 391410, 391416, 391422, 391428, 391434?\n\"Answer: 6*l + 391404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 6*s**3 + s - 2. Let k be l(1). Suppose 0 = 3*m - 4*z - 49, -m + k*z + 13 = 7*z. Is (10\/m)\/((-2)\/(-1227)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 - -66. Suppose s - 4*s + d = 0. Solve s = -q + 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 7*d**2 - 3*d + 19. Let a be z(-6). Solve -3*p + 8 + 1 = 0, s + p - a = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -1) + 7 + -2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -275585 + -1?\nAnswer: -275586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4 - 12*a**3 - 4*a**2 + 12*a.\nAnswer: 4*a*(a - 3)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.5513579 nanometers?\nAnswer: 0.0000005513579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -77 + -1 - (6513 - 6683)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 + 81 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*g + 2*k, 0*k + 4*k + 13 = g. Let m(t) = t**2 - 5*t. Let p be m(6). Let n = p + g. Is n > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147236317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 7:48 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 10*o**6\/3 + 485*o**5 + 72585*o**4\/4 - 56425*o**3\/3 - 18605*o**2\/2 - 4449. Solve f(u) = 0 for u.\nAnswer: -61, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3.5, 3, 2, -10, -2\/17, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**3 + 111*b**2 + 1280*b - 7527. Calculate l(-30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/747 and -81\/166.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5700 + 5652 = -12*o. Solve -4*j = 19*y - 17*y - 6, 0 = o*y + 4*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 394 - 180. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1293852250 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 337\/108  (b) -5  (c) 0.2  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 7:50 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2 - -1) + 4 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/18 - (0 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 25050*s**2 - 29837*s**2 + 2 + 1 + 0*s**2 + 2*s**2 + s**2 + (-s - s + s)*(0*s + 0*s - s).\nAnswer: -4783*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -22252?\nAnswer: -22246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 10*n**5\/3 + 92*n**4\/3 + 86*n**3 + 208*n**2\/3 + 32*n\/3 = 0.\nAnswer: -4, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 276809591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 29. Let v be l(12). Suppose v + 53 = 5*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccdd. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1880)\/(-564))\/((-35)\/252).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 102716\/3 and 34238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162691 is divided by 415?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*((z\/z**(-11))\/z)\/z*z*z*z\/z**20*(z*z*(z*z**(-14)*z)\/z)\/z**(16\/7))**(2\/45) assuming z is positive.\nAnswer: z**(-256\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2 - 252367*p - 252366.\nAnswer: -(p + 1)*(p + 252366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 642 - 642 - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of z**4\/4 - 22*z**3 + 726*z**2 + 20*z. Factor y(b).\nAnswer: 3*(b - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/198 and (-483)\/108 + 2 - 92\/(-207).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 450534 and 1785?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - s**2. Let y = 3 - 2. Let c(u) = -15*u**3 + 7*u**2 - 1. Let x(v) = y*c(v) + 5*f(v). Is x(-1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 less than or equal to 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*s - 12 = 4*w, -3*s = w + 3. Let v be -2*(s\/3 + -2). Differentiate 13*r**3 + 13*r**3 + 3*r**v - 26*r**3 + 6 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g - 22*g + 210 = 0. Let y = 290 + g. What are the prime factors of y?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/395948 and -113\/282820.\nAnswer: 1979740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1\/4, -1211, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j + j**3 + 10*j + 4*j + 0*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*u + 1 = 57. Which is the closest to 1?  (a) u  (b) 5  (c) 3\/5  (d) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**9\/1512 + h**6\/360 + h**3\/3 - 3*h. Let r(i) be the second derivative of u(i). Find the third derivative of r(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13054 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 1 - 7 - 12*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -3*l, 2*y - 4*l - 4697 = -4679 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -0.5, 4, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 10, f: 8}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 4*t - 4 = -0, 3*w = 2*t - 28. Suppose 0 = 3*x - 4*z - 297 - 214, -x + z + 171 = 0. What is the remainder when x is divided by 32 + 9\/1 + w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1079*n - 69284 + 69284 to a + z*n and give z.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 3:20 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1584338 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n. Let g(z) = -17*z - 34. Let c(d) = -g(d) - i(d). Let p be c(8). Suppose q - p = -0*b - 2*b, 5*q - 336 = -4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202200 - -2120002221?\nAnswer: 2112100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220977 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.5, -30, -1\/7, 3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (65 - 52 + 57 + (3 - 3 - 1)*(0 + 1 - 4))*(5*n**5 + 2*n**5 - 5*n**5).\nAnswer: 146*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 1249*m + 5974. Is b(73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4cc (base 13) to base 16\nAnswer: -34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101858 - 45*r + 43*r - 254*r**2 - 101842.\nAnswer: -254*r**2 - 2*r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2622350527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 5:58 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -121 divided by -260\nAnswer: 121\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 57555, -1, 2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 76, 164, 286, 442, 632?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 7*t**2 - 4*t - 3. Let h be k(6). Suppose 0 = 3*n - h*n + 35142. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k. Let z be r(10). Let u be (-1*z)\/((-12)\/126). Calculate the highest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 7. Calculate the lowest common multiple of m and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 2 + 3 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 5*z - 6*z + 0*z. Let w(y) = 0*y**2 + 6 + 9 - 4 + y**2. Let r(b) = 1. Let a(h) = -22*r(h) + 2*w(h). Calculate a(o(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 586192 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - t - 7*b - 6, 1509*t - 2*b = 1514*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*f + 85, -2*f - 3*n + 15 = -0*n. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -8*s**2 - 18*s + 19. Let a(k) = 7*k**2 + 21*k - 15. Let j(l) = 6*a(l) + 5*d(l). Calculate j(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 599978 and 14?\nAnswer: 4199846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 37175178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*b + 373*b + 4583 = -23*b - 1706 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 212*h**2 - 59*h**2 + 4*h - 7*h**2 + 33*h**2 + 1 in the form j + g*h**2 + w*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 137921504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 15*l + 41 + 2*l - l**2 - 2*l + 0*l**2. Let z be r(17). Solve -5*a - 5 = -5*m, 5*a - m + 14 + z = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 22. Suppose 5*r = -5*f + 20, 0*r - f = -3*r + d. Solve -i - 4 = 3*i + r*u, 0 = -i - 3*u - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**2 + 10579*n + n**2 - 31544*n + 10487*n + 10478*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 20.2  (b) 0.2  (c) 30  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddqq when four letters picked without replacement from {z: 3, p: 1, d: 2, q: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 6*r + 19. Let v be g(9). Let h = v - 42. Let q be -4*(-2)\/h*(0 - -2). Let o(a) = -a**3 + 3*a**2 + 3*a + 3. Determine o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -632*a - 8*a**2 + 27*a**2 - 1 - 13*a**2 - 4*a**2.\nAnswer: 2*a**2 - 632*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + -18 - -23 - (-2 + -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 1, -1, -4, 2, -619 in decreasing order.\nAnswer: 5, 2, 1, -1, -4, -5, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000027587881 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2)*(-7*l**3 - l**3 - 2*l**3)*(-1 + 1 - 3*l**2)*(0 + 4 - 3).\nAnswer: -60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -3, 0.052, 3\/14 in decreasing order.\nAnswer: 3\/14, 0.052, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of -p**7\/168 + p**6\/20 - 11*p**5\/80 + p**4\/24 + p**3\/2 - p**2 - 8*p. Solve l(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0.977. Let h = 66.977 - i. Let q = -72.8 + h. Round q to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63\/8 + 8. Let s = -7 - -12. Let z = 14 + -13.8. Which is the nearest to z?  (a) -4  (b) l  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*c**4 + 23*c**4 + 2*c - 4*c + 6 to the form p + w*c + v*c**3 + d*c**2 + h*c**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 10:53 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 27\/9*-26*12\/(-72)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 4 = 3*t, 2*k - 3*t - 5 = -1. Let w(d) = 3 + 7 + 4*d**k + 9*d + 0*d**2 - 3*d**2. Let r be w(-9). Solve 3*z = -4*q + 7 + r, 13 = -q + 5*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20355 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - f**2 - 5*f - 4. Let t be n(-1). Let v = 2 + -2. Let y be 3 - (v + 1) - 0. Solve y*p = -10, 3*p + 5 = t*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 6*t**2 + t + 1. Suppose 20*d = 22*d - 8. Suppose 4*v + 11 = 27. Suppose 0 = -3*k - d*u - 19, 3*k = k - v*u - 18. What is p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*o**3 - 465*o**2 - 1602*o - 864.\nAnswer: -3*(o + 3)*(o + 48)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 2. Let d be (-5)\/(-2)*(7 - 9). Let z = d + t. Let v(b) = b**2 - 5. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 5, 4, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23227 + -23213. Suppose y = 2*t + 5, 4*t - 10 = -2*y + 40. Suppose 0 = -w*z + y - 15. Solve 2*d = 2, -4*o + 5 = d - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 4*3*(sqrt(175) - (0 + 2*sqrt(175))))*4)**2.\nAnswer: -9600*sqrt(7) + 403600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2419, -2420, -2421?\n\"Answer: -y - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.6 and 1.8597.\nAnswer: -2.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5078433 and 6771244.\nAnswer: 20313732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*v**3 + 223*v**3 - 74*v**3 - 74*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 603569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 9*p. Let h(m) be the first derivative of -m**2 - 2. Calculate l(h(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (51 - -2)*(-22)\/(-14). Let w = -83 + o. Suppose -12 = 4*s - 5*r + r, 0 = 4*s + 2*r. Is w >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 4*r - 56, -2*r + 6 = -0*r. Suppose -4*p + 25 = -s. Solve -3 = -5*x + b, -5*b + 2*b - p = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 1 + 21 = 0. Suppose a*o + 5*f = -16 + 71, -2*f = 10. What is the greatest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 201, 196, 191, 186, 181, 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -967, -66, 2 in decreasing order.\nAnswer: 2, -66, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 6*l + 25. Suppose 5*w + 2*z = -736, w - 750 = 6*w - l*z. Is (-1 + 0)*w\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 4:38 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -19.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -1, 4, -5, -28, -65, -116?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/18810 and 11\/2349?\nAnswer: 4909410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 1:07 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**1)**22 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 19035 = -6*c + 11*c, -3*g - 2*c = -14259. What is the remainder when g is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 2\/15, -26, 22.0592?\nAnswer: 22.0592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than 21912822?\nAnswer: 21912814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*(u\/((u\/(u\/(u\/(u\/((u**(4\/7)*u)\/u)))))\/u)*u)\/u))\/((u\/(u\/(u*u**(-7))))\/u))\/((u\/(u*u**(-12)\/u))\/(u\/(u\/(u*u**(-3))))) assuming u is positive.\nAnswer: u**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 2:54 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5282323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 5*k + 50. Let f be n(10). Let i = -0.4 - -3.4. Which is the nearest to 1\/9?  (a) -2  (b) i  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63996 divided by -31998\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 != -6119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 a factor of 39472866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35989875 by -125.\nAnswer: 287919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1060.7 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-4 + 26 + -26) - 46?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 876 and 14.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/1 + (1 - -7). Which is bigger: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 7*l + 6. Let a be z(-9). Let d = 29 - a. Suppose 2*f = -30 + 36. Calculate the least common multiple of d and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**7\/105 - f**5\/25 + f**3\/15 - 3*f - 3. Let i(j) be the first derivative of w(j). Let i(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5477\/42 + 391\/3. What is the third biggest value in c, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 8*l + 5. Let j = -28 + 8. Calculate the smallest common multiple of 6\/(-8) + (-335)\/j and d(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 5*o**2 + 6*o - 63. What is the lowest common multiple of g(6) and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34\/575 - 24414\/575. Let n = t - -42. Let v = -0.2 + 0.3. What is the nearest to 1 in 0, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2643987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**5\/60 - 7*x**4\/24 + 5*x**3\/3 + 374*x**2. Let c = 15 + -8. What is h(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - ((12 - 15) + -2 + (16 - 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + b = -0*b + 4, 3*x - 4 = -b. What is the closest to x in 0.2, -1\/3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i + 22. Let p be l(9). Solve 9 = p*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101001101011101 (base 2) in base 16?\nAnswer: 1535d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 9*f - 34. Let b be p(13). Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 303938.\nAnswer: 2, 151969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2122 divided by -3\nAnswer: -2122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -41, -81, -137, -209?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4087*n = 4087*n + 3*j, 0 = 3*n - 3*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -7*y + 5. Let s be b(3). Calculate the common denominator of (10*-1)\/(s\/(-26)) and -65\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 4643?\nAnswer: 3\/4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*b**3 + 42385 - 94*b**3 - 42385.\nAnswer: -253*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + i**2 - 1525. Let v be n(0). Let t = -756 - v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jhjjjhohjh. What is prob of sequence ojj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of b**3\/3 + 15*b**2\/2 - 13*b. Let a(q) be the first derivative of 2*q**3\/3 - 588. Calculate d(a(v)).\nAnswer: 4*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-5 + (-39)\/(-3)))\/2*88\/144\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7)*(5040\/470)\/(-72).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -257964 + 538337. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7958657.\nAnswer: 7, 1136951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1))**46)**31*(c*c\/(c**0*c))**(-9\/4)*c**(-3)\/(c\/(c*c*c**(-1))) assuming c is positive.\nAnswer: c**(-5725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1002948, -2005895, -3008842, -4011789, -5014736?\nAnswer: -6017683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 926195 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 84918105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 24 = 3. Let h(c) = c**2 + 9*c + 4. Let w be h(u). Suppose -7*i + 42 = -w*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8561, 68259, 230225, 545591, 1065489, 1841051?\nAnswer: 2923409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -6 - (9 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 1 - 3 - 10 + 1359*k - 6.\nAnswer: 1359*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258738.\nAnswer: 2, 3, 29, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 8*d - 3. Let c be j(8). Let p be 1*c\/((-3)\/2). Let i be 5\/p*(-8)\/(-10). Solve -2*b = -3*v + 2 - 12, 3*b + i = -4*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 101011010101000?\nAnswer: 101011010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*y, -2*t - 2*y - 56 = -6*t. Suppose -19*z + t*z = -1408. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 15*t + 1. Let b be h(2). Suppose -74 = 2*g + 3*i, 30*g - 27 = 31*g - i. Let l = g + b. Solve l = r + 2*q + 2, -5*r + 0*r + 23 = -q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4\/55 + -82\/385. Let x = -35.45 - -34.45. What is the fourth biggest value in -5, x, -0.2, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r = 26*r + 27*r - 59 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + u + 11 = -1, u = 3*b + 18 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 0 + 1\/24*m**4 + m**2 + 0*m + 0*m**3. Let h(t) = 5*t - 7*t + 0*t + 8*t. Give h(i(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 296587 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -12*x - 62. Is d(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 198*v = 195*v - 42, -4*i = 2*v + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 167, 658, 1475, 2618, 4087, 5882?\nAnswer: 8003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68506541 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*w - 480*w - 954*w - 194*w - 153*w in the form s*w + o and give s.\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 569.07 + -569. Put 1, -2, -3, a, 5\/4 in increasing order.\nAnswer: -3, -2, a, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 394 - -1598. Calculate the highest common divisor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 4*v = 0, 0 = 3*q + 27*v - 31*v - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-7) + ((-1728)\/112 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/96 + 17\/96. Suppose -3*o - 5*j + 21 = -13, 5*j - 13 = 4*o. Which is the nearest to 0?  (a) p  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**3 + 8*q**2 + 9*q - 3. Let t(b) = -b**3 + 1. Let r(z) = k(z) - 3*t(z). Let x = -1 + 6. Suppose -13 = x*j + 22. What is r(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/259)\/(6\/(-12)*1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13152922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.82 - 1.\nAnswer: -3.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 64  (b) -5  (c) 76580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.26  (b) -0.7  (c) -1\/2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(3\/4)*l*l**(-4\/3) assuming l is positive.\nAnswer: l**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 39*a + 156 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8274 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (60\/35)\/((-2)\/(-7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 2*o = -20, 5*u + 6*o = 2*o + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 239923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 12*z + 12. Let l(a) = -a**2 - 11*a + 11. Let h(x) = 6*k(x) - 7*l(x). Suppose -4*i = 2*r + 32, 20*i + 2*r - 31 = 25*i. What is h(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1140281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 328, 336, 338, 334, 324, 308?\n\"Answer: -3*v**2 + 17*v + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.526 - 221004.\nAnswer: -221004.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, a: 4, f: 3}. Give prob of picking 1 u, 2 f, and 1 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 59 - -319. Let x = y + -373. Let w be (-5)\/(-2) - (-1 + 3). Which is the nearest to w?  (a) x  (b) 1  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 5*s + 7. Let p be j(4). Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.1919 - -0.1321. Let z = n - 53.374. What is z rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*r + 14*r - 48 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z + 155. Let a be b(-8). Let v = a + 149. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-155)\/5*(-1 + 0). Sort 2, -0.1, z in descending order.\nAnswer: z, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(7)*-5 - 5*sqrt(28)\/sqrt(4))**2 + (((1*sqrt(140))\/sqrt(10) - sqrt(14))\/(6*sqrt(6)\/sqrt(3) + sqrt(2) - sqrt(2)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12439 - -12437.7. What is the third smallest value in -1, 349, q?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 478945276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(2\/13))\/(h\/h**(-1\/2)))**(-3\/14) assuming h is positive.\nAnswer: h**(-27\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79828*1.\nAnswer: 79828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 585032.5 centimeters in nanometers?\nAnswer: 5850325000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/96 and 37\/1824?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -589.\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 4*r - 5. Let b(l) = l**2 - 3*l - 3. Suppose -i + 137*o - 140*o - 7 = 0, -3 = i + 2*o. What is i*j(k) - 8*b(k)?\nAnswer: -3*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1480 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 47408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*1 + 1869\/27. Let x = -66 + w. Factor 0*s**2 + 2\/9*s**4 + 4\/9*s - x - 4\/9*s**3.\nAnswer: 2*(s - 1)**3*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (-2 + 1) - -18. Let g = y + -9. Let w(d) = 14*d - g*d**2 - 14*d. Let m(c) = -2*c**2. Give w(m(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1, 3, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9693 divided by -3.\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 433900 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253035.\nAnswer: 3, 5, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2380 divided by 340\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 13560 divided by 20\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 4*u = -36, 2*u = r + 6*u - 15. Let a(q) = 84*q**2 - 8*q + 23. Is a(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*l + 22*l - 48*l - 3 in the form g*l + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*t - 11 = 0, 11*t + 8 = 7*t. Let z be 4 + (2\/r)\/(4\/6). Solve -5*o - z = -28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11*(-105)\/(6*(-99)\/36)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-2))\/(236\/12272))\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/14 - 43\/7. Let w(p) = p**3 + 7*p**2 + 11*p - 15. Let f be w(n). Let c = -98 + 54. Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/9*88\/924*-7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 366*b**3 - 3995*b**2?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0049181 to four decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 30 + -48 + 0 + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 3*z - 18. Let w(n) = z*n - 5*n + 1 + 12*n**2 + 0*n + 3. Does 25 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-5))\/((-12)\/(-1680)). Suppose 5*c + 2*z = -0*c + i, 2*z + 4 = 0. Find the second derivative of 7*r - 397*r**2 + c*r**5 + 397*r**2 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4224599, 4224598, 4224597, 4224596?\n\"Answer: -v + 4224600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1689142?\nAnswer: 2, 7, 13, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2449459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 5 - 15 = 0. Solve -10*x = g*x + 70 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/40 or -3?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-7) + (-148)\/28. Is 5\/(p\/(-3)) + 18\/1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1128*o = 557*o - 90990 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15.3 - 804.3. Let i = 785.17 + a. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + 6. Calculate the remainder when 169 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 25*u + 161. What is r(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*u - 96*u + 10 + 10 + 28 + 236*u - 57 + 11.\nAnswer: 19*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 180 + -671\/4. Is 12 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16627 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2210 + 2223. Solve -84*j + 30 = -5*s - 86*j, j = -2*s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 106 and 15090796.\nAnswer: 15090796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183*i + 40165 = -178*i - 5*z, 0 = -2*z - 2. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.136952 - -0.137. Round y to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7298509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16783, 14994, 13205?\n\"Answer: -1789*g + 18572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 10 - 12*y - 13*y**2 + 3 + 17*y**2. List the prime factors of l(-10).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, b: 2}. What is prob of picking 2 u and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200678 is divided by 96659?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451.2008 minutes to nanoseconds.\nAnswer: 27072048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - 10*n - 27. Let w be s(-12). Let z = w - 160. Let f = z - 61. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*y**2 - 605*y - 12000 = 0. Calculate y.\nAnswer: -96, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r**2\/3 - 305*r - 1842 = 0. What is r?\nAnswer: -6, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/1315 + 28133\/2630. Suppose 2*h - 8 - 8 = 0. What is the common denominator of x and 134\/(-6)*3\/h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**2. Let u(z) = -2*z**2 - 6887 + 6887. What is u(k(y))?\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -151*192367\nAnswer: -29047417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 - 23*k + 50. Let o be i(-25). Suppose 5*z + 0*m - 20 = -5*m, o = z - m + 6. Which is smaller: z or 176?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 57*j**2 + 245*j + 1771. Determine v(-53).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1505 - -7?\nAnswer: 150c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 2:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 20001*n**2 + 2*n - 3. Let i be x(-3). Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 4*h**2 + h - 12. Let l be p(-7). Find the second derivative of 0*x - 11*x + 5*x**2 - 128 + l wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*((-2)\/2 + (-3 - 0)). Let k be 52*(-3)\/(-705) - l\/(-60). Which is bigger: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.8803884 to 1 decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -75 in -3, 0.5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*2 + (-15)\/(2 - -3). What is the second derivative of -19*i + 10*i**4 + n*i**4 - 7*i wrt i?\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**4\/24 + 13*h**3\/6 - 4*h**2. Let y be z(-12). Let g be (-1)\/(y\/(-12)*(-3)\/9). Round g to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-115)\/35*(-276 + 283)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 4*n + t - 2*t, 2*n - t + 42 = 0. Let y be 0\/(n\/5 + 3). Let s be -1 + 10\/4 + -2. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0276 minus 4179?\nAnswer: -4178.9724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -200.23 + 139.06. Let f = 0.83 - m. Let x = 62.00325 - f. Round x to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 476175*i - 21914630.\nAnswer: 5*(i - 95281)*(i + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -4*x + 2*h, -x + 2*h = -23 + 58. Let w be (-3 + (-84)\/x)*10. Which is the nearest to w?  (a) 5  (b) -5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knn when three letters picked without replacement from nktnk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 4:11 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p + 113*p + 339 + 306 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.77 and -20.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(-5 + 5 + 2*i) - 3*i + 0*i + 2*i + 1 - 2*i - 1 + (0 + 0 + 2*i)*(0 + 2 + 0) + 4 - 4 + 2*i - 7*i + 3 - 3.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 124*b**2 - 486*b + 306. Determine l(-120).\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5432 - 0?\nAnswer: 5432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x**(-14)*x*x))*x*(x*x*x**(1\/5))\/x)**(-45\/4) assuming x is positive.\nAnswer: x**(441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2512769735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of -t**7\/70 + 29*t**6\/60 - 79*t**5\/15 + 57*t**4\/4 - 27*t**3\/2 - 4*t**2 + 8. Let w(f) = 0. Calculate f.\nAnswer: 1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/9 + 2*c\/3 - 4\/9 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-8))\/(5\/(-720)*-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 807 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**3\/3 - 46106*w**2\/3 + 461260*w\/3 = 0. Calculate w.\nAnswer: -23063, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of n**3\/3 + 3*n**2\/2 + 4*n + 4. Let s be p(-4). Suppose 0 = 3*m - s + 2. Solve -o + 2*o + z - m = 0, -o = -2*z - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -81776, -81785, -81808, -81851, -81920, -82021?\n\"Answer: -d**3 - d**2 + d - 81775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -277, -3813, -9691, -17911, -28473, -41377, -56623?\nAnswer: -74211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21137 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 154, -0.022, -1\/5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = l + 15, 3*u = -4*l + 4 - 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-15)*(-255)\/(-1428)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 163\/966 and -187\/69690.\nAnswer: 487830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/(((-9)\/2)\/(-3))*(-157)\/((-53380)\/(-102)).\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 207, 353, 489, 621, 755, 897, 1053, 1229?\n\"Answer: g**3 - 11*g**2 + 172*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2437770 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118053240 by -6.\nAnswer: 19675540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7437 less than 10.593184274?\nAnswer: -7426.406815726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13262 - -20362. Suppose -o - 5*y + 20 = 0, -y + 5*y = 20. Let i be j*o*(0 - 200). What is i rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**4 - 2089*l**2*x**2 + 27*l*x + x**2 + 13 wrt l?\nAnswer: 12*l**2 - 4178*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 488\/(-70) - -2 - 6*460\/(-552)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + -8 + 6 + (-8 - -1) + 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 15*w - 108. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 90865891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55599386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 3\/1798?\nAnswer: 3\/1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**2 - 203*x**3 - 11*x**2 - 9*x**2 + 242*x**3 + 2*x**4 in the form b + o*x**2 + r*x + p*x**3 + l*x**4 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4067 divided by 2109?\nAnswer: 4067\/2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 248*r - 63*r - 62*r - 64*r - 16 - 61*r - 24*r**2 to w + a*r + k*r**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -8.4 and 0.055.\nAnswer: -8.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-64)\/(-8) - 3 - 109\/22. Let p be 6\/(-21) + 9\/7. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 3\/7, 1\/6, 5, 0.2, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 6*x**4 - 15*x**3 + 21*x**2 - 9*x + 3. Let n(a) = 16*a**3 + 5*a**2 - 25*a**2 - 2*a**2 - 7*a**4 - 3 + 8*a. Let u(l) = 4*c(l) + 3*n(l). Factor u(t).\nAnswer: 3*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12.756 + 13. Let s = 34.644 - i. Let f = s + -34. Put -1\/4, 2\/25, f in decreasing order.\nAnswer: f, 2\/25, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 5*k + 6 - 7 + 0 as q + r*k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 - 2760*y**2 + 380880*y.\nAnswer: 5*y*(y - 276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 100?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(1 - 1 - 2*o**2)*(3*o + 4*o - 2*o)*(-1 + 3 - 3).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6 - a**2 - a**2 - 10 + a**2. Suppose 1 = -5*g + 26. Let x(n) = -1. Let w(i) = g*x(i) - b(i). Determine w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and -16560712447.92.\nAnswer: -16560712452.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 1.653023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -f**3*h - 31*f**2*h**3 + 5*f*h**3 - 2*f + 4*h**2 wrt f.\nAnswer: -6*f*h - 62*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 46\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 3*g + 5. Let h be d(-4). Let v be 58\/h + -1 + -1. Let i = 50 - 36. Calculate the greatest common divisor of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*a**3*t - 1179035*a**3 + 91*t**4 + 975*t with respect to t.\nAnswer: -3*a**3 + 364*t**3 + 975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 - 112202012012?\nAnswer: -112202011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 33 = -8*g, 3*g - 13 = -11*x + 13*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -8612*w - 1. Let k be x(-1). Let s = 13587 - k. Let a = s + -19809\/4. What is the common denominator of 99\/10 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 13*w**2 - 41*w - 736. What are the prime factors of d(37)?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1576000 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 3792*b + 3794*b + 115 = 0, -5*u - b - 115 = 0 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 0 + 5*j**4 + 2*j - 1 - j**4 + 4 - 4 + (1 - 1 + 2*j)*(-3*j**2 + 3*j**2 + j**3).\nAnswer: 6*j**4 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 11*z**2 + 30*z. Determine g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17, -332, -1177, -2816, -5513?\n\"Answer: -44*p**3 - p**2 - 4*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7765003*f**3 - 574751?\nAnswer: 23295009*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 0*h - 13 + 3\/2*h**2. Let v(a) = 3*a**2. Determine n(v(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.4 - 7.4. Let w = -15.8 + -1.2. Let c = w - -17.4. What is the nearest to -2 in l, c, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from {v: 3, h: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 4*n + 7. Let c(h) = 5*h + 8. Let j(g) = -5*c(g) + 6*w(g). Let k be j(6). Is 5 a factor of (-8)\/k*(2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1407460 - -12?\nAnswer: 1407472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of c**5\/20 - 5*c**4\/6 - 2*c**3 + 5*c**2\/2 + 102*c. Calculate m(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13858 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: What is the square root of 16503 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.43, 1, 1.88, 9 in decreasing order.\nAnswer: 9, 1.88, 1, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c + 1 - 22 + 1, -57 = k + c for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 361*a*x**2 - a*x + 2068*x**2 wrt a.\nAnswer: 361*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-3))\/((-1100)\/18810*19).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s - 43. Let c(l) = 4 - 2*l**2 - 2 - 2*l**2 - 2. Determine c(h(z)).\nAnswer: -16*z**2 - 688*z - 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 715*((-76636)\/85)\/(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - 2166*k - 8645. Determine r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -445*j - 349*j + 87*j = 77*j - 10192 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 252936162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -910, -1144, -1378, -1612?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 + -63. Solve d - 3 = q, j = 4*q + 5*d + 22 - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*u)*(-2 + 2 + 2)*(-2*u**2 + u**2 + 16*u**2).\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 30 divided by 292666\nAnswer: 15\/146333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 4*k - b - 5254, 3*k + 4*b = -3166. Which is smaller: -1053 or k?\nAnswer: -1053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.556541 to three dps.\nAnswer: 1.557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, g: 2, d: 1, f: 6, c: 3, y: 3}. What is prob of picking 1 c and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86921\/138051*9\/1.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 8*s**3 + 6*s - 15*s**2 + 6 + 10*s + 5*s - s. What is the units digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -110462\/107 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1414 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (76\/(-266) - (-4)\/14)\/(-2). Solve z = -104*s + 103*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3858208 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ghmhzgmhz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmggggkgggt. What is prob of sequence mk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 2*f - 12 = 3*u, u + 3*f - 10 = 0. Suppose 297 = u*l - 4*l. Suppose l = 5*i + 24. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*u + 1 = 0. Let i = -1792 - -1804. Sort 2, i, u, 0 in descending order.\nAnswer: i, 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 670 divide 7187760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -4. What is the remainder when 64\/10 - (-4)\/(-10) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/3 - (-4 + 1). Let l be p\/(-4)*28\/(-21). Let i(n) = n**2 + 2*n + 1. Give i(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 665\nAnswer: -1\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 315431*c**3 - 3*c**2 + 37*c + 135. Let j be o(-5). Round j to the nearest 100000.\nAnswer: -39400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(-1\/7))\/(n**7*n))\/(n**(3\/7)*n\/((n*n**(-5\/4))\/n)))\/(n**(-3\/10)*n\/n**(-3\/8)*(n\/n**(-1\/4))\/(n\/(n*n**(-2\/5)))) assuming n is positive.\nAnswer: n**(-3209\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 - 58*k + 195. What are the prime factors of h(52)?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 13545, 4, 0.02, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5559 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 5955876544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -849775, -1699580, -2549385, -3399190, -4248995, -5098800?\nAnswer: -5948605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 145371.4 rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88, 239, 596, 1261, 2336, 3923?\nAnswer: 6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 383 + 8*o**2 - 90 + 3*o - 96 - 97 - 91 - o**3 to k*o**3 + p + a*o + c*o**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i - 1. Let t(l) = -3*l - 33. Let c be t(-10). Give s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1143 + 6?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, z: 2, l: 2, q: 1, r: 1}. What is prob of sequence lq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -3, -4, 0.3, 1.37, -12?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -2. Let c = -640 + 649. Calculate the remainder when ((-16)\/(-10))\/(1\/p) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p. Let d(l) = -l. Let n(k) = -k. Let u be (-4)\/(16\/6)*-2. Suppose 0 = -i - u*i - 20. Let q(w) = i*d(w) + 4*n(w). Determine b(q(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of 0 + 0*b**4 + 0*b + 0*b**3 + 3*b**2 + 1\/30*b**5. Let n(h) be the second derivative of h**3\/2 + h. What is q(n(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 66641883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8*q - 51 = 9*q, 0 = -2*q + 10. Let d be (2 - g\/(-10))*(-100)\/(-280). What is the closest to d in -1, -0.4, 83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 480*w - 482*w + s = 8, -2*s - 8 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**2 + m**2 - 6*m - 6*m**2 wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*s + 17 - 4, 9 = 3*d. Suppose -s*y + 8 = -3*y. What is the third derivative of -11*l**4 - 12*l**4 + 3*l**2 + 3*l**4 + 5*l**y wrt l?\nAnswer: -480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 249*v + 7 = 242*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0541 less than or equal to -46099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -14. Let w be 1\/((0 - f)\/9). Let c(j) = -j**2 + j + 2. What is c(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 531 + 27 = 5*v, 232 = 2*v + l. What is the highest common divisor of 76 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 84 - 66. Let l be x\/(-81) + (-2)\/(-9). Solve -25 = -u + 5*v, -2*u + 2*v + 4 + 6 = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -1 - 19. Which is the nearest to -0.1?  (a) 0.3  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -57, -103, -169, -261, -385, -547?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 731695 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12445372, 24890739, 37336108, 49781479, 62226852, 74672227?\nAnswer: 87117604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, 0, -2, -4, -23 in descending order.\nAnswer: 0, -2, -4, -23, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.16  (b) -6  (c) 0.1  (d) -139.9  (e) 4  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 244 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21905623 + 32354603286\/1477. Let p = 2\/211 - a. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/18 - (-924180782)\/212546880. Let r = 7646\/4055 - f. Let w = -3\/2080 - r. Find the common denominator of 9\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -6. Let u be (0 - 0) + b + 19. Solve -4*o + u = -2*d, -4 = -o - 3*d + 7*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 294\/(-392) + (2 - 9\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (4080\/(-6120))\/(((-2)\/(-12)*-2)\/19)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -3*u + 2*b + 92, -4 = -2*b. Let a be 4 + u + (0 - -2). Let z = -18 - a. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-114)\/24*40\/(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 5 + 8*x**2 + 108*x**2 in the form a*x + o + u*x**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.16, 74, -419?\nAnswer: -419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1127*s**3 + 4380*s**3 - 1085*s**3 + 730*s**3 + 1349*s**3.\nAnswer: 6501*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103 + 94. Suppose 30 = -3*n + 3. What are the prime factors of (c + n)*(-2)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 480 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -55*h + 110*h - 54*h. Let c(l) be the third derivative of 2*l**2 + 0 - 1\/12*l**4 + 0*l**3 + 0*l. Calculate c(i(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 205451\/22 - 9337. Find the common denominator of 117\/20 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/201 and 97\/42.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65492373.\nAnswer: 3, 19, 1148989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 783587963.\nAnswer: 783587963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (57\/4)\/((-6)\/(-16)). Let o be -331*(v\/(-5) - 1). Let r = o - 2858. Calculate the common denominator of r and 3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -54*r + 68*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2975 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 16*x + 4 - 6)*(x**3 + 5*x**3 - 5*x**3) as b*x**4 + n + f*x**3 + h*x + l*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and 0.01.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = m + 91, -2*m + 12893 = 6*a + 12999 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 820 and 2050.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -818 divided by -818.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7862.6085 - 7878.6. Let i = 3 - -13. Let l = i + c. What is l rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 44901*h - 4. Calculate s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.8 + -4.8. Let t = -1.54 - -0.04. Let w = m + t. What is the biggest value in -1\/3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {m: 2, s: 4, j: 3, d: 3, w: 2, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4045 divided by -809?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 83487536*j**2 - 5687894*j + 2 wrt j?\nAnswer: 166975072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.2 + -1.4. Let u = z - -0.2. Which is the nearest to -1\/4?  (a) -0.5  (b) u  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + 225 = -4*p + 7*p - 6*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.095 and -6264.\nAnswer: -6262.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 5 = -5*a. Let d be 2*((-5)\/30*3 + 1). Let x be (0 + -3)\/((-2)\/(-6)). Put a, d, x in increasing order.\nAnswer: x, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 68274*o - 68274*o + 4396*o**2 as r*o + y*o**2 + l and give y.\nAnswer: 4396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w**2 - 16*w - 34. Let m be f(-2). Solve 0*k = 3*k - m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 25 = x, 13*u - 16 = 12*u + 3*x. Calculate the highest common factor of u and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -50*y - 22*y - 2376. Let d(u) = 70*u + 4. Let k(c) = -561*c - 33. Give y*d(q) - 4*k(q).\nAnswer: -66*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*k = 4*y - 10, -2*k - 7 = 4*k + 5*y - 60 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from esehewsehhsheesww. What is prob of picking 1 w, 1 h, and 1 s?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 3, -0.1, -3 in decreasing order.\nAnswer: 40, 3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -k**4\/24 + 11*k**3\/3 - 2454*k**2. Calculate b(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (11 - (-384)\/(-36))*57. Solve 0 = -13*w + r*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 965 + -28. What are the prime factors of n?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3525?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*i - 60 = -27*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383527 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -331145770\/3 greater than -110381924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbjbjbbbbb. Give prob of picking 2 b.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 132*a**2 + 10*a**5 - 2*a**3 - 2*a**5 - 11*a**5 + (-4*a**2 - 2*a**2 + 3*a**2)*(a**3 + a**3 - 4*a**3).\nAnswer: 3*a**5 - 2*a**3 + 132*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4854, -4423, -3698, -2679, -1366, 241?\n\"Answer: 147*o**2 - 10*o - 4991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) - (0 - 0). Let s(d) = d - 18. Let u be s(-6). Let z be (-34)\/u - (442\/(-39) - -12). What is the second smallest value in r, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22704 and 1584.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-35)*((-2240)\/30)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -243*o - 5. Let q be x(-1). Suppose 4*s + 122 = -26*z + 28*z, -q = -4*z + 2*s. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1289 + 2076 - 1115 + 19*c)*(-2 + 3*c - 2*c + 1).\nAnswer: 19*c**2 - 347*c + 328","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 93*d**2 + 203*d - 1445. Determine a(95).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27391*i**3*l + 645*i**2*l + 3*i*l wrt i?\nAnswer: -164346*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 10:53 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3572 - 3578. Which is the third biggest value?  (a) r  (b) -1\/3  (c) 1\/2  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -27*a**3 - a**2 - 7*a - 7. Calculate the remainder when m(-1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 2*i + 5 = 0, -4*s - 4*i = s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8152478 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 619422 is divided by 68824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -4*j + 2*l, -4*j - l = -6*l - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.2, -0.065, 0.4, 25\/8 in increasing order.\nAnswer: -0.2, -0.065, 0.3, 0.4, 25\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + 7*d - 9. Calculate v(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 12081, 23601, 35121, 46641, 58161?\n\"Answer: 11520*h + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9942 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1264 - 1265. What is the second smallest value in u, 2\/7, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 g when four letters picked without replacement from hhhghgghhg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 4*g + 0*g = 70, -5*q + 5*g + 100 = 0. What is the greatest common factor of q and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12833189.4 rounded to the nearest 1000?\nAnswer: -12833000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*m - 7456 = -8204 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5c2 (base 13) in base 14?\nAnswer: -519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 41223735102\nAnswer: -41223735101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 3  (c) 296576  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from oocsgyi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 10. Solve -2*b - 3*b - l*n - 19 = 0, 0 = -4*n + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 9 + 2 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/1386*((-195)\/(-39) + ((-81)\/(-6))\/(-3))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 37.74, 1.2, 4, 3\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-1032)\/21 - -4)*14\/(-4).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 + 10*i + 4. Let k be s(-6). Let c = k - 41. What is the remainder when 64 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21633 (base 7) in base 3?\nAnswer: 21111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p - 6 + 6)*(-2*p - 3*p + 6*p) + (-p - 2*p + p)*(-2*p + 0*p + 3*p) + 0*p**2 - p**2 - p**2 to x*p**2 + y + g*p and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 + 56. Let y(p) = -p**3 - 2*p**2 + 3*p - 1. Let o be y(-3). Let r = l + o. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 40*a**2 + 7*a + 1797. Let v be t(-39). Let l = 6 + -3. Let i be 10 + l*2\/(-3). Solve -2 + 4 = -y, p = v*y + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*g, 4*g - 8*g + 112 = 3*a. Solve -v - 2*r = -6*r + 20, 3*r = 5*v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y**4 + 10*y**4 - 6*y**4 + (-y + y - y**2)*(-5 + y**2 + 5) + 3*y**4 + y**4 - 2*y**4 - 814*y**3 + 35*y**4 + 814*y**3.\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 + 24?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -1330*i**3 - 21*i**2 - 49*i - 6. What is the least common multiple of s(-2) and 4?\nAnswer: 10648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 121\/10 - (-11)\/(-110). Suppose -5*r + 4*r + 35 = 0. Solve 3*z + s = d, 4*z = 5*s - 0*s + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010010001001001 + -100?\nAnswer: 11010010001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -188, -168, -144, -122, -108, -108?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -572*n**2 + 462*n**2 - 836*n**2.\nAnswer: -946*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2030 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4 + 2 - (-19 - (-8218)\/420)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -327 plus -3.1103?\nAnswer: -330.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*n + 167*n + 294*n.\nAnswer: 374*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-2*(-2272)\/3976*14\/464.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p + 1. Let q = -10 - -13. Suppose 0 = -3*t - 2*i + 11, -t + 8 = q*t - 4*i. Determine s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -z - 0*z. Solve 16 = -z*i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 27 - 79 + 5387*m + 26.\nAnswer: 5387*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2841.24 + 4350\nAnswer: 7191.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*i = -1300121 + 325927. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-61*l - 45*l**2 + 61*l + (-2 + l + 2)*(0*l + 7*l - 3*l))*(2*l**3 + 324 - 12*l**2 - 324).\nAnswer: -82*l**5 + 492*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-5) - 2\/20. Let k = 0.041 + -0.096. Let p = k - -0.255. Sort v, p, 2 in descending order.\nAnswer: 2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 244 + -249. What is the common denominator of (1\/h)\/(1603\/(-392) - -4) and 73\/130?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**3 - 5*y**2 - 11*y - 27. What is g(-3)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 456481 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37926 and 421056.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -48100000 to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6578 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*t**2 - 2 + 17*t**3 + 47*t**3 - 2*t - 17*t**2 + 16*t**2 to the form w*t**2 + y*t**3 + u*t + b and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 21829*j**2*w**3 + 1053*j**2*w**2 - 291324897*w**3 wrt j.\nAnswer: 43658*j*w**3 + 2106*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 173.2 - 0.2. Let z = 37 - l. Let r = 145.7 + z. Round r to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - y + y + 15. Suppose 0 = -3*s + 4*z + 25, 0 = s - 11*z + 12*z - 6. What is the units digit of o(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -y**3 - 20*y**2 + 183*y - 162 = 0.\nAnswer: -27, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 11352*i + 192689. Calculate j(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -35356 (base 10) in base 14?\nAnswer: -cc56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -777*q + 398*q + 387*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r + 18*r = 0. Suppose r = -12*w + 18*w + 48. Let b(g) = -g**2 - 9*g - 5. Let n be b(w). Solve -n*m + 8 = -4*m + 4*o, 5*m + 2*o - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -125, 1, 3, -3 in increasing order.\nAnswer: -125, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 3*z**2 - 2. Let r be q(-1). Solve 3*m - 10 + 13 = r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3328 and 572?\nAnswer: 36608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46.7777 + -0.1077. What is k rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0.5, -0.3, -1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15483055?\nAnswer: 5, 7, 137, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - 0.1. Suppose 0*w = -0*w + 6*w. What is the closest to 2\/3 in -1, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -5*b - 9. Suppose 3*h = -v - 3, 3*h + 5*v = -13 - 2. Sort 2, h, b.\nAnswer: h, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from drsdrsadad. Give prob of sequence rrss.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 918 or 324?\nAnswer: 918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*x - 3 = -67*x. Which is smaller: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 962594225 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 126720 divided by 1056?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146*u - 150*u = -124. Suppose 0 = -6*y + 17 + u. What is the remainder when 239 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00087838 rounded to 5 dps?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 965 - 484. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b**3 + 4*b**2 - 1. Let o(d) = 3*d**3 + 3*d**2 - 1. Calculate 5*j(p) - 7*o(p).\nAnswer: -p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2677131*i**2 + 12*i + 54924517 wrt i.\nAnswer: 5354262*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 195 in -0.2, 2\/5, 1\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1203*r**2 - 6 + 166*r - 136*r + 50*r wrt r?\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 9. Let v be a(-5). Let c = -3 + 6. Suppose -v*q - 3*g + 7 = -c*q, 0 = -5*q + 3*g + 53. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -0.2  (b) -5\/2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - o - 1. Let c(p) = 3*p**2 + 5*p + 5. Suppose -2*d = -3*w - 14, -5*w - 46 = -5*d - 6. What is d*t(i) + 2*c(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 5) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 134?  (a) -5  (b) 406  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -102. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 317273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23233 + 13?\nAnswer: -23220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*s + 123 = -159*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 336 and 2576?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-22)*1246\/(-294). Let k = -2\/77 + v. Factor 0 + 0*h**2 + 0*h + k*h**3.\nAnswer: h**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b*c*d**2 + 162*b*c - 82*b*d**3 + 3*b*d**2 + 2*b*d + c*d**3 - 3*c*d - 2*c wrt d.\nAnswer: 4*b*c - 492*b*d + 6*b + 6*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 27\/18*80\/(-6). Let m = h - -12. Let i(x) = -10*x + 9. Is i(m) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8584, 17233, 26100, 35293, 44920, 55089?\nAnswer: 65908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -27*s**2 - 619*s - 5. Let j be q(-19). What is the highest common factor of j and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -3*(sqrt(637) - (sqrt(637) + 3 - sqrt(637))))**2 - (-5*sqrt(637)*3*1)**2) + -1.\nAnswer: -137424 - 546*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 12 + o**3 + 20 + 11*o**2 - 208973*o + 208975*o. Determine j(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 0, -78, 40 in decreasing order.\nAnswer: 40, 4, 0, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*n - 50 = 14*n. What is the least common multiple of 14 and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is fe45 + 1196?\nAnswer: 10fdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y + 6 = 0. Suppose -3 = s - y. Let g be 5*(s + (-208)\/(-10)). What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(132)*1)\/((1*sqrt(96))\/sqrt(8)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1629951.\nAnswer: 3, 311, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -1200220201201000?\nAnswer: -1200220201201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 8 + 5)*(-4 + 3 + 3)*((-1 + 4 - 1)*(-2*y + y + 0*y) + 0*y - 16*y + 2*y).\nAnswer: -736*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 114.9509 to 1 decimal place.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28373192, 28373201, 28373218, 28373243?\nAnswer: 28373276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 0, 3*i + 75 - 181 - 713 = 2*b. Calculate the greatest common divisor of 399 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/70?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 5:24 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 10*b + 27*b = 464. Solve -b*q + 28 - 140 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/11 - 50*j**2\/11 + 304*j\/11 - 256\/11.\nAnswer: 2*(j - 16)*(j - 8)*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(14\/(-4))\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, -84, -311, -754, -1485, -2576?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 3  (b) -2\/3  (c) 1\/6  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2. Let q(o) = 941*o + 1. What is q(y(g))?\nAnswer: 941*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 5*i**2 + 2*i - 7. Let v be x(5). Let d = 5 - v. Solve y - 5*b + 4 = 0, -3*y - 3*b + 8 = d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 4*y - 12. Let n = 8 - 1. Let i = y + n. What is the lowest common multiple of i and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54370272.\nAnswer: 2, 3, 11, 51487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 164 - 49. Suppose 3 = 3*a - 135. Calculate the greatest common factor of a and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.33 - 0.4. Let f = m - 4.53. Let d = -4.599962 - f. What is d rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -70?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -67 - -70. Suppose 3 + q = 5*z + 2*c, -z = 5*c - 15. Solve a - 15 = 2*f, -30 = f - z*f - 5*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -699\/76 - -37\/4. Let p = 41\/304 + a. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-14) - (-94185)\/147. Does 36 divide i\/4 + 6\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36964*s**3 + 151*s**2 + 23?\nAnswer: -221784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 43*f - 22. Suppose -23 = 3*r + i + 45, -98 = 4*r + 5*i. Let g be j(r). Let o be (3\/(-3) + g)\/1. Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8815 times -136\nAnswer: 1198840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((639\/1491)\/((-156)\/(-14)))\/((-5)\/60)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 44 = -34. Solve -5*p = -b + 11, 0*b + 4*b = d*p + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.2, 3, 2\/197 in increasing order.\nAnswer: -4, 2\/197, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, v: 1, t: 4, j: 1, d: 1}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((0 - -1) + 50)\/(57\/38). Suppose 40*y = t*y. Solve y*o = -5*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**3\/4 - 5*k**2\/12 - k\/3 + 1\/3 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/24 and -127\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9094\/68205*((-3)\/24)\/((-2)\/(-5))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 8*i - 40 = 2*x, 3*i = -3*x - 24. Let f be ((-4)\/2)\/(4\/i). Let l(h) = 5*h - f - 2 + 3*h**2 - 2*h**2. Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -17959*m + 107631. Calculate n(6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = 4*i + 3*a, -a = i - 1. Suppose 4*v + 2*c + 16 = 0, -5*v = -3*c - 2*c + i. Is (1 + 82)\/((-3)\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 243228*r**2 - 2*r - 38129045 wrt r.\nAnswer: 486456*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**5\/15 - 11*h**4\/8 + 38*h**2. Let r(c) = -c**2. Let a(b) = o(b) + 6*r(b). What is the second derivative of a(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1700) - (-5 + sqrt(1700)*2))*-2)**2 - (-4 + -1 + sqrt(2057) - 5*(sqrt(2057) + -1))**2)*-2.\nAnswer: 800*sqrt(17) + 52024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 1 = -4*y - 1, -4*y - 8 = 4*q. Suppose 2*o + 4*s - 140 = -y*s, -2*s = 6. Suppose x + o = 5*x. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129583*s - 39826*s + 21181*s.\nAnswer: -148228*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 9:12 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/8  (b) -1  (c) 1\/11  (d) -10  (e) 3  (f) 5  (g) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 2)\/(-30)*3 + 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q**3 - 3*q. Let a(j) = 15*j**3 - 31*j**3 - 7*j + 2*j**3 - 2*j. Determine -6*a(v) + 17*o(v).\nAnswer: -v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 17, 2, 3, -45 in descending order.\nAnswer: 17, 3, 2, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.6 - -10.6. Let i = k - 0. Which is the biggest value?  (a) -1\/7  (b) -3\/8  (c) i  (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nu when two letters picked without replacement from xdduuuddndu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 66*h - 12. Let l be d(0). Let u = -16 - -18. Sort l, u, -4 in decreasing order.\nAnswer: u, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2068027460 to the nearest one hundred thousand.\nAnswer: -2068000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**3\/4 + 7659*r**2\/4 - 780804*r + 74170032 = 0 for r.\nAnswer: -2921, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 2095*z**4\/12 - 353*z**3\/2 - z - 1667. Find the second derivative of u(t) wrt t.\nAnswer: 4190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 4*s**3 - 9*s**2 + 3*s + 129. Let h(p) = 2*p**3 - 5*p**2 + 2*p + 65. What is 9*h(l) - 5*o(l)?\nAnswer: -2*l**3 + 3*l - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2640 = 2*c + 115*c + 3*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 559847?\nAnswer: 37, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41 by 110.\nAnswer: 41\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 4) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 14588*b**2 - 246840*b.\nAnswer: -4*b*(b - 3630)*(b - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.4  (b) -0.5  (c) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 273 and 1725.\nAnswer: 156975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -168 - -170. Solve -4 = i*u + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -5*x**3\/6 - 59*x. Let h(t) = -53*t**2. Determine h(k(v)).\nAnswer: -1325*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*a = -168. Let u = a - -7. Let f = -54 + u. Sort 4, -6, 4\/5, f in increasing order.\nAnswer: -6, f, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 14. Suppose -2*n - i*a = 3*n - 10, 3*n + 10 = 2*a. Let j be 1*n\/(-3) - -2. Solve -5*c = -0*c - j*f + 23, 2*f = c + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 238 and 46546.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -87a + 6?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m - 2*m + 3*m)*(-1 - 1 + 8)*(-1017 + 2139 - 816).\nAnswer: -1836*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - 29*q - 58. Let y be l(-2). Solve -26*t = -30*t - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (3 - 11) + -1 + 43\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 + -11. Let j = y + 35.1. Is -24 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -417599 divided by 12.\nAnswer: -417599\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 3 = 4*a, 5*a = -14*j + 9*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 6*(-10)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 755062\/49 - (-4)\/7. Suppose -25*d + 15*d + w = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in -59.1, 3, 6, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3\/7 + 17804*k**2\/7 - 71264*k\/7 + 71280\/7.\nAnswer: 4*(k - 2)**2*(k + 4455)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 + 4*w. Suppose 5*r - 6*k = -3*k - 9, 0 = -3*r + 5*k + 1. Let p be r\/2*(-2 - -4). Calculate m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1164758 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30.032 + -0.032. Let g = y + -29.8. Sort 0.5, -5, g in descending order.\nAnswer: 0.5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34276 and 9234676?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 1)*5\/(-80)*2*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(3*u - 4*u + 2*u) - 2 + 0 + 4 + 16*u.\nAnswer: 17*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -65*y**3\/3 + y**2 - 99*y - 329. What is the second derivative of h(d) wrt d?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 + -28 + 100 - -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -446, 0, -42, 37, -4 in increasing order.\nAnswer: -446, -42, -4, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -41, 35\/47, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12\/(-8) + (-41)\/2. Does 17 divide 11\/((-605)\/(-10)) - 1118\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooukuuouuokk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 21*l + 47. Let s be 50\/5 - 5 - -169. Suppose s + 148 = 14*u. Let i be h(u). Solve 0*m = -m + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/3927 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-15 + -2 - -23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 2*i - 10, -2*l + 21 = 3*l + 3*i. Solve -l*b - 13 - 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/q**(-1\/6)))**8*(q\/q**7)**3 assuming q is positive.\nAnswer: q**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -6  (c) -1  (d) 1\/5  (e) -4  (f) 18  (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10107.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 272 = 4*p. Suppose 5*a + 23 = p. Let y be (12\/9 + -1)*a. Solve 4*r = 3*g + 4, -5*r - y*g + 15 = -17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -15 + 1\/4*i**2 + i = 0.\nAnswer: -10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 335*o**2 - 950*o**2 + 353*o**2 to the form l + q*o + r*o**2 and give r.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/50?  (a) 7\/5  (b) 1\/2  (c) 0  (d) -5  (e) -262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/1 - ((-286)\/22 - 35 - -7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y**2 + 34 + 0 - 8 - 5 - 6 - 11.\nAnswer: 21*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52 (base 7) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xppppxxccpbpppxp. What is prob of sequence bpp?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - -2 - (15 - 2) - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12034023 (base 5) to base 2\nAnswer: 11011010010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -57*154\/(-4389)*(11\/(-6))\/(-1)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17855234 and 774?\nAnswer: 160697106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.05 + -0.95. Let v = -135 - -135. What is the closest to -2\/5 in 3, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 9:12 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 6*r = -8. Let s(u) = -u - 9. Let j be s(-11). Suppose 74 = j*i + 28. Is i != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-9)\/((-36)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 7*n - 3*n - 131 = 0, -m + 4*n = -31. Suppose 23*q - m*q = -28. Let t(a) = a**3 - 7*a**2 - 2*a + 5. Give t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 - 62. Let y = 2 - s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 560561 - -167834. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - (-12 + -13) - -6) + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9843*r = 92*r + 156*r + 7701*r - 1085312 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 5*a**2\/2 - 7. Let i(m) = 2*m. Give i(s(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2104, 17259, 58360, 138367, 270240?\nAnswer: 466939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7693466 + -7693461.80000066. Let p = 4.2 - g. What is p rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 118*j**2 - 151*j - 9385. Determine b(116).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -102*y - 32*y + 41*y - 57*y in the form u*y + o and give u.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, j: 4, l: 3}. Give prob of sequence jll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46657 divided by 3.\nAnswer: -46657\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13546*h**2 + 1279*h?\nAnswer: -27092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 - 4 - 2 - (23 - -2). Does 15 divide h\/143 - 827\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2735*x**3 + 972*x**3 + 1270*x**3.\nAnswer: -493*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/7  (b) 0.3  (c) 33  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1445455 and 820.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + i = 80 + 41, 2*u = 4*i + 76. Let r be 96\/u - (-6)\/10. Let f(c) = c + 2. Let q be f(-2). Solve q = -p - 0 - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjglojoodjjjo. What is prob of sequence jod?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -223609 + -2?\nAnswer: -223611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 23. Suppose -q = 8*c - 4*c. Is 7 + c - -1*52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/(42\/39) - 10. Let l = 1047\/11 - 95. What is the closest to -0.2 in l, k, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 118983, 951881, 3212607, 7615077, 14873207, 25700913, 40812111, 60920717?\n\"Answer: 118986*m**3 - 2*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 454  (b) 0.1  (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9278*d + 4647*d + 4638*d + 800 + (1 + 4 - 3)*(-6*d + 3*d + 5*d).\nAnswer: 11*d + 800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + h + 4. Let c be g(0). Suppose 228 = i + i - c*r, 5*i = 4*r + 564. What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 528\/2993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11580493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 1. Let g = 1 + 4. Which is the closest to o?  (a) -0.4  (b) g  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3*sqrt(833) + -2 - sqrt(833)) - (sqrt(833) + (-2 + sqrt(833) + sqrt(833))*1 + 3))**2.\nAnswer: 490*sqrt(17) + 40842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 6748.171152 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 624420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 231560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 503, 502, 499, 494, 487?\n\"Answer: -x**2 + 2*x + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/68228 and -52\/605.\nAnswer: 41277940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 42.12463 centuries?\nAnswer: 421.2463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -7*v**2 - 3169*v + 19257. What is y(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -19226121 divided by -15?\nAnswer: 6408707\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/33 - 68\/(-22). What is the first derivative of -14*h**3 + i*h**4 - 20*h**3 - 21*h**3 + 220 + 50*h**3 wrt h?\nAnswer: 12*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 11, b: 2}. What is prob of sequence bmbm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 13\/21  (c) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 144915 - 144779. Let m = -69 + 125. Calculate the lowest common multiple of h and m.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -239*-0.112.\nAnswer: 26.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - 12 - (-48 - (-4186)\/230).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 12*i - 9. Let h(l) = -l + 11. Let u be h(10). Let v(x) = 7*x - 5. Let a be v(u). Calculate the remainder when 88 is divided by c(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -813660?\nAnswer: -81365a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 1898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2*(sqrt(125) + -1))**2 + 4*sqrt(125)*-2 + -3*(-2*sqrt(125) + sqrt(125))**2 + sqrt(125)*1 + 2.\nAnswer: -75*sqrt(5) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Suppose 3*y - 102 = -3*c, -2*y - 2 - 8 = j. Suppose 2*f - c = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 - 32. Suppose 5*z - 3*z = g + 61, z = g + 31. Let v = z + -21. Are v and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 1  (b) 3  (c) 1637  (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34206 by 3.\nAnswer: 11402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39652.\nAnswer: 2, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - k - 17 = -3*k, -2*k + 32 = -2*h. Let y be h\/(-18)*(-4)\/(-5). Which is the third smallest value?  (a) y  (b) 2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 39\/12*-2*2\/(-1). Let i(r) = 6*r**2 + 13*r - 13. Let s(f) = -3*f**2 - 6*f + 6. Give j*s(w) + 6*i(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 296 - 1881*u**4 - 260*u + 263*u + 1878*u**4 + 417*u**2 wrt u.\nAnswer: -36*u**2 + 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -58.216  (b) 5  (c) -16  (d) 1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5539*o = -6222*o - 47127 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 12*v**5 - 287*v**4 + 152*v**3\/3 + 176. Factor q(m).\nAnswer: 4*m**2*(m - 19)*(15*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -1.234.\nAnswer: -4.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 1304 divide 180828639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 133135 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 27143 (base 9) in base 16?\nAnswer: 47a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g**2 + g + 2. Let k(o) = 6137*o**2 - 1444*o - 2888. Calculate -k(f) - 1444*n(f).\nAnswer: -1805*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2270795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -360, -6\/17, 7\/2, 0.2, 3\/143?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 4 = -4*i, 5*i + 5 = 2*w + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 0.01  (c) -0.4  (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 0*j + 3*j - 3*j + 7 + 2*j. Let y be u(-2). Suppose 20 = -r - y*r, 17 = t + 3*r. What is the remainder when t is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -70 - -64. Let b(n) be the first derivative of n**5\/60 + 3*n**4\/8 + 7*n**3\/6 - 3*n**2\/2 - 11. Let q(m) be the second derivative of b(m). Calculate q(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 1 + (-27 - (-2 + -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 733687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 9*0.1471\nAnswer: 1.3239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16052 - -16061. Let n(c) = c**2 + 4*c + 1. What is the least common multiple of n(3) and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165108 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/2)\/k)**(-14\/5)\/(k**0)**39 assuming k is positive.\nAnswer: k**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02799, -9, -2 in descending order.\nAnswer: -0.02799, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -627*q**2 + 3646*q + 552. Calculate t(6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 50*t**2 - 455*t + 13. Is q(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 7*c**2 - 2*c - 8. Suppose 2*k + 4*k = -42. What is w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16797 - -46552. What are the prime factors of w?\nAnswer: 5, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 114 + 81. Let s = i + -197. Let m(c) = -5*c - 1 + c**2 + 0 - 2*c**2. Give m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.911 - 0.65807?\nAnswer: -48.56907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2050 = -5*u, s - 1163 = -2*u + 884. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87.828507 - 25.74\nAnswer: -113.568507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 49\/10840 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that x**5\/2 + 80*x**4 + 4911*x**3\/2 + 22302*x**2 + 19926*x = 0.\nAnswer: -123, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -9. Let u = -0.4 + 0.2. Sort -2\/9, u, k.\nAnswer: -2\/9, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - 1. Let d = -275 - -274.7. What is the nearest to 0.2 in 5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (-48 + 18 + 89) - -28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, -192513, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4260, -4258, -4254, -4248, -4240, -4230?\n\"Answer: a**2 - a - 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 109687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 616?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/27?  (a) -0.1  (b) 4  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 + 160. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74 and 25124258.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/10*(-150)\/12. Let g be v\/(-4)*4\/(-5). Put -4, g, 0 in decreasing order.\nAnswer: 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 0.8  (c) 685  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f + 0*f - 5*f - 4*f - 5. What is the tens digit of b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -34*n**2. Let l(w) = -163*w**2 + 2*w. Determine l(v(m)).\nAnswer: -188428*m**4 - 68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 + 111. Suppose 18*m + g = 12*m. Sort -5, m, 3.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -394.7147 - -374.72. Let g = 20 + r. Round g to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1702112288.\nAnswer: 2, 31, 509, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 + -1.1. Let h = 206 - 211. Sort 1, l, h in increasing order.\nAnswer: h, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3731752.4000016 - 3731719.4. Let g = 33 - p. Round g to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*o = -181*o + 3*v + 13, -o + 2*v + 9 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3*6253181\nAnswer: 18759543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 812.2146 kilometers in centimeters?\nAnswer: 81221460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 80*l - 100. Let w(f) = f - 1. Let b(a) = 2*a**3 + 11*a**2 - 113*a - 588. Let m be b(-5). What is m*c(p) - 200*w(p)?\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 522*p + 38066. Calculate f(65).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2956648 divided by -369581\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -5*n**2 - 1. Let j be x(-1). Let q be ((-6)\/22)\/(j\/(-12)). Let a = 1\/6 - 5\/6. What is the third biggest value in a, q, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142 - 227 = -17*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.671 - 5.3.\nAnswer: -6.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*b - 9*b = 30004. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1706, 13714, 46262, 109622, 214066, 369866?\nAnswer: 587294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 139118460 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 4:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 311 + -217. Suppose 184 = 5*v + 4*i, 3*v + 5*i - 6 - u = 0. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71 - 72. Let t(z) = z**2 + z. Let c(k) = 30*k**2 - 25*k. Let l(h) = o*c(h) - 2*t(h). What is the second derivative of l(y) wrt y?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 15.1\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 7:55 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 4*m + 0 - 4*m + 2*m + 0*m + (-4 - 1 + 4)*(19*m + 5167 - 5167) + 1 - 1 - m + 4*m - 2*m + 0*m as w + t*m and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1140 by 228.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/10 - 4162923*n**2\/10 + 16651668*n\/5 - 6660664.\nAnswer: (n - 4162915)*(n - 4)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -28 and -246611406.979.\nAnswer: -246611434.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 14*i**2 - 4*i - 4. Let o(s) = 3 + 13*s**2 + 3*s - 54*s**2 + 14*s**2 + 12*s**2. Let t(b) = 2*g(b) + 3*o(b). What is t(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-1 - (26 - -3) - 1) + 393 + -402?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j - 4. Let w be h(13). Let o be 62\/22 + -3 + 92\/w. Factor 0*p + 0 + 2*p**o + 3\/2*p**3 - 1\/2*p**2.\nAnswer: p**2*(p + 1)*(4*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -60, -44, -10, 48, 136, 260?\n\"Answer: g**3 - 3*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -3*n - 610. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 1)*(2*r**2 - r**2 + 4*r**2) - 181 + 91 + 91 - 2*r**2 - 2*r.\nAnswer: -17*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -115 - -97. Let p(x) = -2*x - 36. Let b be p(z). Solve 2*t = -b*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 6*a**2. Let u be g(6). Is 14 a factor of (4 - u) + 58 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and 342856 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 + u + 283 - 201 + 310)*(-u**2 - u**2 + u**2) - 4*u**4 + 2*u**4 + u**4.\nAnswer: -2*u**4 - u**3 - 392*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2413620 - 20?\nAnswer: -2413640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 19*z + 1. Let h(q) = -54*q - 667. What is h(w) + 3*i(w)?\nAnswer: 3*w - 664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1122446*s*t**2 + 67029*s + t**2 - 6 wrt t.\nAnswer: -2244892*s*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8672*171\/51072 - 29\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-4)*(-75)\/(-45)*(-1464)\/(-30). What is the highest common divisor of 7442 and h?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 4*y. Let c(z) = -4*z + y + 3*z - 1. Let g(a) be the third derivative of a**4\/24 + 61*a**2 + 2*a. Give -2*c(l) - 4*g(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 7:53 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 10*h + 16. Let s be w(11). Solve 2*b - s = k, -b = -2*b + 5*k + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 times 1.30115\nAnswer: 16.91495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 11*r + 6. Let h be x(-3). Let u be (47190\/h)\/(32\/(-12)). Let s = u - 655. What is the common denominator of 139\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65110 is divided by 1183.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-115)\/55 + 2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 2*o**2 - 4*o - 3. Let s(y) be the second derivative of -y**3\/2 + 5*y**2\/2 - 4101*y. Give 5*d(h) + 4*s(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7478 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-5))\/((-2)\/(-10)). List the prime factors of 2\/t + 180\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5491 and 2312.\nAnswer: 43928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14217630 and 3950.\nAnswer: 71088150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.5 - 0. Let v = 1 - 2. Let u = -421\/7 + 60. What is the smallest value in v, u, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/250 - -253\/750. What is the biggest value in -2\/9, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 752104344*q**4 + 1217165109*q**2?\nAnswer: 18050504256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9972 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4883, 19513, 43897, 78035?\nAnswer: 121927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**4 - 181*z**3 + 267*z**2 + z - 89 = 0. What is z?\nAnswer: -1\/2, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 963 and 1170045?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110748319 to the power of 1\/2, to the nearest integer?\nAnswer: 10524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21879288315 minus 16946?\nAnswer: 21879271369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + s**2 + 2*s - 1. Let l be x(2). Let g(z) = -4*z**3 + 2*z**2 + z. Let p be g(l). What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3637568, -7275137, -10912706, -14550275, -18187844?\nAnswer: -21825413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(2\/(-1)) + (-96921)\/(-6). Suppose 4*p + 21540 = 4*u, 3*u + 2*p = 6*p + z. Is u\/5 - 7\/(140\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13322, 26645, 39966, 53285, 66602?\n\"Answer: -w**2 + 13326*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + 2*g + 3*g)*(-3*g**2 + g**2 + 0*g**2) + (g**2 - 4*g**2 + g**2)*(-27*g - 17*g + 6*g) as w*g + d*g**3 + b + q*g**2 and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3603 is divided by 183?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6633, 6640, 6647?\nAnswer: 6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-6) + (-730)\/(-1752).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 13*l - 40*l + 18*l - 24. Let o be v(6). Let r = -41 - o. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32 + 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*g = 60. Suppose 2*m + m = g. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 19*y + 14. Let l(t) = 8*t - 3 + 7*t - 22*t + 3*t. Calculate 11*l(w) + 2*r(w).\nAnswer: -6*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1161225 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: Let z = -2353067\/9624 + -1\/9624. Let q = 245 + z. Sort -4, -7, -0.3, q in descending order.\nAnswer: q, -0.3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v*v**2)\/v)*v**(-5))\/(v\/(v**(2\/11)\/v)*v**0\/v*v) assuming v is positive.\nAnswer: v**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -193.4 + 193.1. What is the nearest to 1 in p, 1\/2, 0.063?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 - -40. Solve 3*k - 1 = 5*t, -k - y*t = -2*t - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1378 - -2757\/2. Let m = 221\/4 + -56. Let u = -1 + 3. Which is the biggest value?  (a) g  (b) m  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71575282*k**2 + 71575282*k**2 - 111*k**3 + 136*k**3.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.6 and 0.026234.\nAnswer: 0.626234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*o**3 + 278*o - 278*o)*(4*o**2 - 4*o**2 + o**2 - 3*o**2 - 3*o**2 + 3*o**2 - o**2 + 2*o**2 + o**2 + (-4*o - o + o)*(2 + 2*o - 2) - 3 + o**2 + 3).\nAnswer: 84*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 10:22 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*-3 + sqrt(17) + -2 + 3.\nAnswer: -2*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-4)*(-4)\/3. Suppose g - f = 4, 4*f + 2 + 13 = 3*g. Is s not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/144 and -23\/1044.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = c - 28, 3*c + 2*p - 3*p - 68 = 0. Let g = -109 + 131. Calculate the smallest common multiple of c and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1521219 and 58899?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 151*q + 58*q + 29*q + 1 + 12*q as u + i*q and give i.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4517*t**2 + 11 - 11 - 4511*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 100111001100000110?\nAnswer: 100111001100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(-20) + 39\/60. Which is the nearest to 1?  (a) 5\/4  (b) q  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 46456375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3055*c**2 - 2*c - 219.\nAnswer: -6110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 9:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1.9 * 0.7\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 1384 divide 720533531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -951607, -1903197, -2854777, -3806341, -4757883, -5709397, -6660877, -7612317?\nAnswer: -8563711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 4*h**3 - 1288*h**2 - 2588*h - 1296 = 0.\nAnswer: -1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 17*x + 34. Let g be c(15). Suppose s = -g*m + 148, -5*s - 3 = -m + 34. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 2*b - 14*b**2 + 0*b**3 + 0*b**3 - 5*b**3 + 0*b to the form g*b + y*b**2 + p + o*b**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 456*a - 8500 = 2444 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 6, -0.2, -1 in descending order.\nAnswer: 9, 6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.1  (b) -3\/407  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1))**(-12)*(h**23)**41 assuming h is positive.\nAnswer: h**955","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 154067140 and 149.91.\nAnswer: 154067289.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -6*c**3 - 8*c**2 + 15*c + 21. Is o(-5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y + 8. Let x be b(-6). Let o(c) = 4*c - 4*c**3 + 1 + 10*c**3 - 3*c - 3*c**3. What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 7:02 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 12728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 881154 = -24*f. Let w = 72753 + f. Round w to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*a + 11*a - 3*a**2)*(-28*a**2 - 43*a**2 + 7*a**2) in the form t*a + r*a**4 + d + x*a**3 + y*a**2 and give r.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 1, -5.\nAnswer: -11, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 78\/18)*-10*12\/(-480)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 8*g - 1. Let k be n(-1). Let l = k + 11. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*v - 4*v. Let s be 6\/24 - 61\/4. Let q = s + 43. What is the remainder when q is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45076 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*-2*32\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-66)*(-6)\/4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3082*p**3*u**2 - 6778*p**3*u + 45*p**3 + 278*p**2 + 74*p + 1 wrt u.\nAnswer: -6164*p**3*u - 6778*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 620\/15*(-6)\/(-4). Let z = -62 + m. Suppose 7*v - 1969 + 114 = z. Is v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.2, -0.165, -1, -11, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1007399 - 0.4183655.\nAnswer: 1007398.5816345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5718 less than -9194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110110011 - -101?\nAnswer: 11110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, d: 4, y: 4}. Give prob of picking 2 y and 2 d.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 175\/(-10)*(-24)\/(-14). Suppose -46 = -f + 4*b, -3*b + 5*b = 2*f - 74. Let l = w + f. Solve -l*d = -5*r + 37, -5*r + 15 - 2 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**0*r)**(-4\/7)\/(r*r**(4\/7)*r*r**(-5\/4)) assuming r is positive.\nAnswer: r**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h - 16. Let t be d(9). Let u(v) = v**2 + 5*v - 10. Let a be u(t). Suppose -2*p + 38 = 4*o, -o = -a*o - 4*p + 41. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/6 - (-10)\/3. Suppose -v*c + 0*c = g, 3*g = -5*c + 8. Let d = 19\/3 - g. Is d > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*r + 86 = -103. Solve -r*f = -10*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-556*r - 12113 + 12113)*(5*r**4 - 3*r**4 - 4*r**4).\nAnswer: 1112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ee (base 15) to base 5.\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - 1) + (-26 - -32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - 5*y**4 - y**4 + (-114 + 114 + 165*y)*(-26*y**2 + 26*y**2 - 3*y**3).\nAnswer: -499*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 134 - 52. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 5*m - 8 - 32 = 0, -t + 4*m = 7. Suppose 0 = 4*b - b - 120. What is the highest common divisor of b and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2541875, -5083833, -7625791, -10167749, -12709707?\nAnswer: -15251665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5525, 22147, 49849, 88631?\nAnswer: 138493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1280 - 1832. Suppose -2*t = 2*t - 4388. Let p = k + t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l + 2. Let j be o(-5). Let g = j - -11. Solve g = -4*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/18 + 16672\/144. Calculate the greatest common divisor of 29 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 1 - -17 - 20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**2\/9 - 146*s\/9 - 16 = 0. What is s?\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4307955 millilitres in litres?\nAnswer: 0.0004307955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 17, y: 3}. Give prob of picking 2 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 5522882*q**2 - 153*q**3 + 5522882*q**2 in the form g + d*q + y*q**2 + a*q**3 and give a.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttlllllllltlllltltt. Give prob of picking 3 t.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153))**2 + -4 + -4 + (((sqrt(153)*2)\/sqrt(9) - sqrt(17)) + (sqrt(17) - -1*sqrt(1088)))**2.\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vfvbvvvbeevfvvfbevev. Give prob of picking 1 v, 1 f, and 1 b.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -2. Let r = 2 + -1.8. Let a = -290 + 2027\/7. What is the nearest to w in r, a, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 90*q + 567\/2 - 3\/2*q**2 = 0?\nAnswer: -3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(12\/(-9))*(-78)\/9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**6\/360 - h**4\/6 + 4*h**2. Let m(w) be the second derivative of i(w). Let l(v) = -v + 2*v + 0*v. What is m(l(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -17. Let o(x) = x - 7. Let w be o(b). List the prime factors of (-1 + (-1 - w))*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*3*(sqrt(76) + (sqrt(76) - -1*sqrt(76) - sqrt(76)))*3)\/((2*sqrt(2048))\/(sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(96)\/sqrt(108))))).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.009 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 4 - 2)*(0*b + 8*b - 7 + 0*b - 9*b).\nAnswer: 16*b + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (336\/98)\/(7\/(147\/(-78))).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2. Let w(a) be the first derivative of -38*a**2 - 28. What is w(z(h))?\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 4878.599 to the nearest integer.\nAnswer: 4879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.023 + -0.023. Which is the closest to y?  (a) 1  (b) 0.2  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33277495159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -22857\nAnswer: 68571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4229*r + 3 - 3 + 4234*r - 12688*r + 4224*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*q - 108*q = 660. Suppose -13*i + 24*i = q. Let u(d) = d**3 - 5*d**2 - 5. Let w(n) = 3*n**3 - 12*n**2 - 12. Determine i*u(l) - 5*w(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 29 = 27. What is the remainder when b is divided by 15\/(-5) - -6*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-1) - (-5 + 3 + -1). Let w = 13 - m. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*v = 3*v + 22013, -2*v = 2*w - 14718. Does w = 7350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 203073, 812402, 1827995, 3249852, 5077973?\n\"Answer: 203132*b**2 - 67*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -8, -486473 = -5*f - 4*m + m. Let r = 38297 - f. Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5322918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s**(2\/13)\/s)\/s*s)*s**(-2)*s\/s**(1\/2)*s*s**(-2\/13))**35)**19 assuming s is positive.\nAnswer: s**(20615\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 152.91 take away -0.1?\nAnswer: 153.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2193*o**3 + 2256*o**3 - 4453*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.284107 rounded to three decimal places?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2416969, -2416995, -2417021, -2417047, -2417073, -2417099?\nAnswer: -2417125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (30\/9)\/(2*1\/(-3)). Let m = 6 + -2. Suppose 16 = -m*w, -4*q = -5*q + 2*w + 13. Sort c, -1, q in decreasing order.\nAnswer: q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 797264763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -8  (b) -2  (c) 33  (d) 0.5  (e) -1  (f) 0.1  (g) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.01306589 + -0.0158532. Round s to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -59\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 4 - 2 - 2045*k + 0 + 2069*k.\nAnswer: 24*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -533, -728, -1257, -2288, -3989, -6528, -10073, -14792?\nAnswer: -20853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, j: 4, m: 12}. What is prob of picking 3 j and 1 m?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -1. Let r(g) = g**2 + 1 - o. Let c(n) = n**2. Calculate c(r(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -7*i**3 + 30*i**2 - 4*i + 4. What is z(3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3\/2, -9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d + 1. Let y be l(-4). Let r = y - 8. What is the remainder when 23 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2*2*10. Let a = 29620 - 29300. What is the highest common factor of a and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-18) - (-6)\/27. Let y = 2 - s. Let v(q) = 7*q + 1. Determine v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256, -1024, -2304, -4096, -6400, -9216?\nAnswer: -12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -134 or -4699\/35?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 - -65. What is the smallest common multiple of l and 185?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, z: 4, o: 3}. Give prob of picking 3 o and 1 x.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2414\/3, -5, -0.3, -2?\nAnswer: 2414\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c. Let q(x) = x + 13. Suppose 6*r + 3 = 3*r + 5*k, 0 = -3*r - 5*k - 33. Let d(f) = 6. Let h(o) = r*q(o) + 13*d(o). Calculate h(b(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12 - 10934\/910)*-13. Let s(d) be the first derivative of -1\/5*d - 1\/15*d**3 + k*d**2 + 10. What is t in s(t) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6981*((-1088)\/312 + 10\/65)*-6. Round i to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t*t**6))*t)\/(t\/(t**(2\/11)\/t)) assuming t is positive.\nAnswer: t**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1167421?\nAnswer: 1167421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 7, h: 9}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37)\/8 - (-24)\/(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -205292491, -410584992, -615877503, -821170030, -1026462579, -1231755156?\n\"Answer: -v**3 + v**2 - 205292497*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/5 + 4*d**2\/5 - 4*d\/5 - 16\/5.\nAnswer: (d - 2)*(d + 2)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 13*u + 212. Let z be q(-16). Suppose -4*w - 5*m = 401, -5*w + 4*m - 342 = 190. What are the prime factors of w\/(-10)*10\/z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 1:27 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k - 39 = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 0.2, 0.5 in descending order.\nAnswer: 0.5, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1058.934 decades to millennia.\nAnswer: 10.58934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 15, 258, 2, 5.\nAnswer: 1, 2, 5, 15, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 1.58321222431.\nAnswer: 1.38321222431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 702*d + 3879 + 8231 - 2984 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1377) + 3 + sqrt(1377) - (1*sqrt(1377) + -1)**2 - 5*(sqrt(1377) + sqrt(1377)*-1 + -3).\nAnswer: -1360 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -147*d - 701. Let w be p(-5). Which is smaller: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -db (base 16) to base 4\nAnswer: -3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + (-1*sqrt(450))\/sqrt(9))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 7. Let v(i) = 1. Let s(m) = 7*m + 479*m**2 + 483*m**2 + 8 - 964*m**2. Let x be s(-1). Calculate x*r(j) + 5*v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/18454 and -3\/5?\nAnswer: 92270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.5 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 119 + -119.005332. What is m rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 141*g**2 - 296*g + 4391. What is the ten thousands digit of r(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3*f**3 + 87270*f**2 - 632483700*f - 31842735000 = 0?\nAnswer: -50, 14570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 369998*w + 4. Let h be d(2). Round h to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 1:12 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 21 = -2*y, -4*q - y + 23 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**3 + 5*p**2 - 5. Let j(n) = -4*n**3 + 4 - 10*n**2 + 3*n**2 + 2 + 1. Determine -5*j(t) - 7*w(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1285842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -95 + 57. Let n = g + 19. Let q = n + 31. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 + -0.4. Let q be (-12)\/(-54) + 94\/(-18). Let p be q*(-1 - (-111)\/105). Which is the nearest to p?  (a) j  (b) -2\/3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -232 or -3464\/15?\nAnswer: -3464\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9452*d - 3247*d - 3139*d - 3277*d.\nAnswer: -211*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*i**2 + 550763*i**3 - 38*i**2 - 38*i**2.\nAnswer: 550763*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -703681.8 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.0077  (b) 0.02  (c) -530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2948 - 1291 - 3122)*(-2*l**2 + 0*l**2 + l**2).\nAnswer: 1465*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + v + 55. Suppose -k - 3*n = -1, 0 = -0*k - k - 5*n + 5. Let w be (-2)\/8 - k\/20. Is z(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 8:03 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7145*c**2 - 5*c - 624?\nAnswer: 14290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 10:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6472335\/(-6) + (-20)\/(-40). Let k = j - -763922. What is k rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -80*s + 15. Let d be z(-10). Suppose -3*h = 5*j - 0*h - d, 5*j - 780 = 4*h. What is the greatest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113797?\nAnswer: 113797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, w: 2, m: 11, q: 1, z: 2}. Give prob of picking 1 q and 1 z.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 30*y + 346. Let z(u) = 10*u + 116. Determine 5*b(v) - 14*z(v).\nAnswer: 10*v + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(1008) + -1) + -5)*-3)**2.\nAnswer: 1296*sqrt(7) + 36369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + b = 72. Let c be ((-12)\/b)\/(2\/(-6)). Does 20 divide (c + -5)\/(3\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - 19 - (-1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 236566\/22295 + 8\/1715. Which is greater: -1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3076?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j + 1. Let s(z) = 2*z + 1. Let f(d) = 4*q(d) - 3*s(d). Suppose -2*b - 15 = 13*b. Give f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 126549646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, y: 5, k: 3, z: 1}. What is prob of sequence wkw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -6*g**2 + 2*g - 1. Let r be w(1). Let n = -1\/4 - 1\/4. Let p = -1.3 - -1.4. Which is the nearest to p?  (a) r  (b) n  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 4)\/(4\/12) + (-129 - -124)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3 - 13192*j**2 - 235808*j + 1154560.\nAnswer: -4*(j - 4)*(j + 22)*(j + 3280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -36\/102112619 and -57\/1398803.\nAnswer: 102112619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14896 = -4*d - 12*d. List the prime factors of d.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 211903 divided by -219\nAnswer: -211903\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-2)*(7 - 8). Suppose -5*q + 0*m - 2*m = -52, -2*q + h*m + 18 = 0. Suppose -314 = -7*t + 316. What is the greatest common factor of t and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 61*z**3 + 303*z**2 - 19*z - 58. Calculate h(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 837 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 209171 by 109.\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (0 - -18) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + z - 6. Let s be b(-5). Let l = s - 12. Factor 2\/5*t**3 + 0 + 0*t**l - 2\/5*t**4 + 0*t.\nAnswer: -2*t**3*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 15*i = 0. Let t(m) = 8*m + 7*m + i*m - 5*m. Let a(y) = -24*y. Let b(f) = 5*f. Let n(v) = -3*a(v) - 14*b(v). Calculate n(t(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 609.31 rounded to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10, 26, 68, 148, 278, 470, 736?\n\"Answer: 2*k**3 + k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(7) - sqrt(56)\/(sqrt(8) - -1*sqrt(8)))**2 + (sqrt(175) - sqrt(175)*2)**2 + 5.\nAnswer: 713\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1741 - -3842?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 478\/3, 1\/8, 1455?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 401268.8ml in litres?\nAnswer: 401.2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/(-6))\/((-5)\/(-18)). Solve 2*l = -l - i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 3*g**2 - 3*g + 4. Let j be m(2). Let w be (-3 - -98) + (-7)\/(7\/j). Let v be (-2)\/((-24)\/w) + (-4)\/(-16). Solve -4*n + v*n = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*q - 5 = -30, 20 = 4*q. Suppose 2*y + p*y = 0. Suppose 5*g - 9 - 1 = y. Solve -3*t + 18 = -3*f, -g*t - 3*t - 2*f + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-224)\/(-2912)*1*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3*o**2 + 4996*o - 110069. Determine m(22).\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46465 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -16361, -65450, -147265, -261806, -409073?\n\"Answer: -16363*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/4074 and -31\/28420?\nAnswer: 8270220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z**5\/5 + 14*z**4\/5 - 12*z**3\/5 - 14*z**2\/5 + 4*z\/5 = 0.\nAnswer: -2, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -129*s**2 + 127*s**2 + 66*s + 15*s**2 to l + n*s + j*s**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b + 1. Suppose 0 = 3*n + 4*f - 4, 17*f - 10 = -3*n + 16*f. Let w(r) = 7*r - 4. Determine n*x(h) - w(h).\nAnswer: -3*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*(-46)\/5796*(-41)\/(-15) + 1\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 86, 125, 162, 197, 230?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -694870 times 4.5?\nAnswer: -3126915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/48 > -32\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*q + 1 + 33*q + 0.\nAnswer: -77*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 271*p**3 - 2*p**2 + p - 2. Let b(i) = 10 - 1 - 1 + 4*i - 3*i. Let q be b(-5). Let a be c(q). Round a to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + s - 4 - 4*s + 0*s + 6*s + 2*s + s - s + (-2 + 2 + 2)*(0 + 2*s + 0) - s + 4*s - 2*s + 4*s - s - 2*s + 7 - 18*s - 7 as l + a*s and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 15*k**2 + 39*k + 255. What are the prime factors of p(-6)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100 divided by -589211.\nAnswer: -100\/589211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 411\/5, 5, 61\/58?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 32\/(-6)*((-20)\/(-4) - 20). Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108473534 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139690*m + 6 + 10 - 139687*m - 23 + 7.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Is 16439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*b - 92*b + 580*b - 98*b - 131*b.\nAnswer: 129*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/3*282\/(-47)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(-1)\/(-2) - 4. Let g be z\/1 - 3*-2. Suppose 0 = g*u + 3 - 30. Solve -5*y = -4*r - u, -4*r + 4 = y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 920152 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171705 - -271748. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63091211?\nAnswer: 29, 2175559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 195ec (base 16) to base 13.\nAnswer: 383b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 4*b + b + (-2 + 1 + 4)*(b - 2 + 2))*(0 + 1 - 6) + b - 5*b + 2*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -6*t**3 + t**2 + 4*t + 3. Let a = -3662 + 3661. Calculate m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -341.8 times 5288\nAnswer: -1807438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 666181 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*x**2 - 41 - 62*x**2 + 37*x**2 + 41.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**2*v)\/v**(3\/11)*v\/(v\/v**(9\/7))*v*v*v\/(v\/(v*v**10)*v)*v*v assuming v is positive.\nAnswer: v**(1464\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/5 + -2 - 4\/10. Let u(l) = 46*l - 5. Let w(k) = -47*k + 6. Let v(o) = c*u(o) - 3*w(o). Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11613 - -631.\nAnswer: 630.88387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (36\/(-300))\/((-4)\/(-290)) and 87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - -168. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -763*w + 1008*w = 4529805. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 233106*c**4 + 284143.\nAnswer: 932424*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -8*q**3 - 13*q**2 - 7*q - 10. Let x(v) = -17*v**3 - 27*v**2 - 14*v - 20. Let z(o) = 13*j(o) - 6*x(o). Let a be z(-3). Solve -3 = -5*t + a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -32553200 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7991, 15988, 23913, 31772, 39571?\nAnswer: 47316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -10*u - 10*u - 4*u + 6*u - 18*u - 24. What is the tens digit of r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -85*d - 42. Let b(w) = -w**2. Calculate o(b(z)).\nAnswer: 85*z**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**5\/20 + 5*z**4\/12 + z**3\/6 + 9*z**2\/2 - 4455*z. Calculate x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 40 + 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) 4  (c) 5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**2))**(-1\/39))**35 assuming u is positive.\nAnswer: u**(70\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*2*sqrt(243)*1 - (sqrt(12)\/sqrt(4)*4 + (6*(0 + sqrt(3)))**2)*3.\nAnswer: -324 + 78*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 187c5 (base 15) to base 5.\nAnswer: 10020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 0, -h = -25*j + 21*j - 27. What is the remainder when 100 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303723443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 16*x**2 - 32*x - 37. Let w be o(13). Let v = -653 - w. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-172)\/(-36) - (-4)\/18. Suppose -5*d - 4*v + 20 = v, 0 = -d + z*v - 20. Let l(n) = 2*n + 13. Calculate the remainder when 47 is divided by l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 270.992 - -0.008. Let g = v + -268. Which is the closest to 2\/11?  (a) 4  (b) g  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55222813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1762 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*x + 48 = 0, 5*x - 21 + 1 = 0. Let l be (-1)\/((-20)\/z)*-5. Sort l, 3, 5.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 6:29 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oiwoig. Give prob of sequence iwwg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21201 - 20651. What is the remainder when w is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2)**(-15)*(f*f**5\/f*f*f)\/(f*f**(4\/5)*f) assuming f is positive.\nAnswer: f**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from {b: 12, o: 2, w: 2, l: 1, e: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30*21.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m*r**3*y**2 - m*r**3*y - m - 675*r**3*y - 584*r**2*y**2 - 2*y**2 wrt r.\nAnswer: -6*m*y**2 - 6*m*y - 4050*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.2995551 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -906*a**2 - 55*a**3 + 2*a - 2*a + 906*a**2.\nAnswer: -55*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510*j = -505*j - 20, 5*j = -13*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -7*p**3 + 12*p**2 + 5*p + 12. Let z(o) = 16*o**3 - 26*o**2 - 10*o - 25. Let v(w) = -9*c(w) - 4*z(w). Calculate v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2390196641 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.78 - -0.58. Which is the fourth biggest value?  (a) 4  (b) t  (c) 1\/2  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 31*z - 15. Let p(i) = -31*i + 17. Suppose 9*t - 49 = -13. Let f(u) = t*p(u) + 3*n(u). What is the derivative of f(o) wrt o?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22 + 62306?\nAnswer: 62254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 633 divide 20890082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -1) + -6 + 10 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3, -0.18, -1\/2, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - -21 - -17) + 10 + 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -7*a**6\/60 + 19*a**5\/40 + a**4\/4 + a + 3. Find l, given that u(l) = 0.\nAnswer: -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {p: 4, z: 1, b: 1, g: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.23 and 3337.\nAnswer: -10778.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129457*u - 129457*u + 101*u**3.\nAnswer: 101*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (1*-9 + -1). Suppose 2*p + j = y, -y - 2*p = 4 + 1. Solve -2*s + 10 = y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 - 43*u**3 + 42*u**3 + 7*u - u + 3. Let p = 10 - 4. Give w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 57 = -177. Let o(d) = 2*d**2 - 2. Calculate the lowest common multiple of o(-2) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -4  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - -0.2. Let p be 57\/(-21) + 1 + 2. Let h = 1674 + -1672. Which is the closest to p?  (a) -2  (b) o  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 559*v**9\/504 + v**5\/15 + 35*v**4\/24 + 538*v**2. Find the third derivative of n(w) wrt w.\nAnswer: 67080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20 - (884\/22 + -20). Let t = 18.07 - 18. Which is the second biggest value?  (a) -5  (b) t  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of 0*o**4 + 0*o**5 + 1\/3*o**3 + 2 + 3*o**2 + 0*o + 37\/6*o**6. Find the third derivative of a(u) wrt u.\nAnswer: 2220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/13  (b) -0.03  (c) -7\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*n**3 + 2 + 7 - 11*n - n**4 + 10*n to r*n + a*n**3 + j + w*n**2 + f*n**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 5*g**2 + g - 1. Let r(b) = 121*b - 8231. Let v be r(68). What is s(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -0.3, -98, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 5*n = -14, -3*f + n - 677 + 656 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 277478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2769, -5262, -7705, -10098, -12441, -14734?\nAnswer: -16977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 3*x + 17, -j = j + 5*x + 21. Suppose -z = -0*z - 2*m - 64, -5*z + 288 = -j*m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 390057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 36, 51, 68, 87, 108, 131?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 6. Let o be r(-6). Let z be (-10)\/o + 6\/(-4). Which is the nearest to -0.2?  (a) 0.3  (b) z  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.05601885 and -32?\nAnswer: 31.94398115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -4823.\nAnswer: -8\/4823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - l)*(-l - 4*l + 4*l) + (-10*l**2 + 3*l**2 - 14*l**2)*(-2 - 1 + 2).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 13*n - 14. Let w(q) = -2*q**2 + 21*q + 1. Let g be w(10). Let a be c(g). Suppose -a*x = -31 - 1. Solve m = -m - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.3 - -1. Let t = h - -1. Let l = 1 - 0.7. What is the third smallest value in l, t, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppllllpppp. What is prob of sequence pl?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*c**2 - 17708*c**3 + 27*c**2 - 51*c**2 - 3908*c**3.\nAnswer: -21616*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 19 - 15. Suppose w = -5*h + 12, -2*w + 4 = h - s. What are the prime factors of ((-25)\/(-15))\/(w - 34\/18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -666827 + 666827 + 2*x**2. Let i(c) = 0*c + 3*c + 6*c. Calculate i(f(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, y: 2, p: 2, a: 1, f: 1, s: 2}. What is prob of sequence yasu?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 8:21 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 259*s + 7 - 289*s to d + b*s and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17600 and 3819552.\nAnswer: 190977600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (165\/(-154))\/((-738)\/6888).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 17335?\nAnswer: 34670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -26) + (3 - 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -1 + 4 + u + 0. Let w(p) = p**3 + 4*p**2 - 16*p - 29. Let b be w(-6). Calculate k(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7771346 (base 9) to base 7.\nAnswer: 50350446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-390)\/(-468))\/(15\/378).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.4946624 rounded to 2 decimal places?\nAnswer: 61.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5678 and 2006.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-9 + 9 + j)*(-2 - 2 + 2) - 2*j - 2*j + 3*j - j + 0 + 0 + (3 - 2 - 2)*(-5 + 5 - 60*j))*(-2 - 2 + 5) to the form o*j + q and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1122210021 (base 3) to base 6.\nAnswer: 411054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10058541 divided by 3?\nAnswer: -3352847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 26*p**3 + 15*p**2 + 18*p - 16. Let q be a(-12). Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) 11.106  (c) -0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 4, 3*x = -2*x + a - 2. Suppose -o - 7*u - 22 = -9*u, 110 = -5*o + 2*u. Sort x, o, -3 in increasing order.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of l**5\/60 + 3*l**4\/8 - 4*l**3\/3 - 6*l**2 - 6. Let x be b(-16). Is x at least as big as 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117, 67, -181, -627, -1271, -2113?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -2, -5, -60 in descending order.\nAnswer: -2, -5, -19, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*b - 125. Let x = b + 56. Let l(f) = -6*f**3 + 2*f**2 + 2*f + 1. Calculate the remainder when x is divided by l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 7*h**2 - 13*h + 6. Let w(a) = 4*a**2 + 8*a - 3. What is -5*w(l) - 3*z(l)?\nAnswer: -3*l**3 + l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 + 918180*r**2 + 4590776*r - 5508960.\nAnswer: 4*(r - 1)*(r + 6)*(r + 229540)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239*o - 1738*o + 17698 + 22775 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 8:29 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120220221021001000 - 11?\nAnswer: -120220221021001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 859 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from hfwffffwfffhhfhww.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -351 - -350.64. Let v = 2.64 - m. What is the nearest to 3 in -2, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 340022 (base 5) to base 6.\nAnswer: 131011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {s: 1, p: 2, d: 1, m: 5, x: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.2563034t?\nAnswer: 256303.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 = -6*g - 154. Let q(h) be the first derivative of 3\/26*h**4 + g + 5\/13*h**2 + 14\/39*h**3 + 2\/13*h. Factor q(z).\nAnswer: 2*(z + 1)**2*(3*z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180132 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59722415 to the nearest integer?\nAnswer: 7728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, y: 3, t: 2, p: 1}. Give prob of picking 1 p, 1 y, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of -y**3\/3 - 7*y**2 - 115*y. Let h be m(-28). Calculate the greatest common divisor of h and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 17 - -2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/45 + 50\/18. Let p(m) = -2*m**2 + 3. Let o(l) = -5*l**2 + 7. Let q(d) = i*o(d) - 7*p(d). Let r(x) = -4*x**2 + 2*x - 1. What is -6*q(b) + r(b)?\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d + 3*d - 3*d - 2*d + d + 3*d + (3*d - d + 0*d)*(4 - 2 - 1) + d - 3 + 3 + 2*d + 3*d - 3*d + 43*d + 7*d + d - d - 3*d + 7*d - 2*d + 2*d + d.\nAnswer: 59*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -425532 (base 7) to base 10\nAnswer: -74013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 4) + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -75 + 8*d**4 + 3*d**3 - 4*d**2 - 66 - 7*d**4 + 15*d + 140 in the form z + c*d**3 + p*d + l*d**4 + t*d**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 1. Let z be 10\/(-15)*((-1530)\/12)\/17. Suppose -4*c - z*b + l = -3*b, b = -5. Solve -p = c*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 150*m + 151*m + 9 = 2*x, 2*x + 30 = -4*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16685, -16670, -16607, -16472, -16241, -15890, -15395?\nAnswer: -14732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 247 and 25.\nAnswer: 6175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**2 - 38*y - 186. Let w be v(-6). Which is the closest to -2?  (a) -2  (b) -4  (c) -1\/5  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 + 0*k**2 + k**2)*(-2*k + 0*k + 3*k) + 874*k**2 - 874*k**2 + 1071*k**3.\nAnswer: 1074*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 491, 976, 1461, 1946?\n\"Answer: 485*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3224406125 a multiple of 12917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 94\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -138, -206?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 279254?\nAnswer: 837762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*m + 65*m + 56*m + 65*m - 241*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/48 and 59\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1418, 17, 0 in decreasing order.\nAnswer: 17, 0, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68 - -73. Put -4\/5, 0.1, -5, s in descending order.\nAnswer: s, 0.1, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 269439015 to the nearest integer?\nAnswer: 16415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2915722?\nAnswer: 2, 1457861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + m + 6. Suppose 0*t = -t. Let a be p(t). Calculate the greatest common factor of 42 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -176*m**3 - 5*m**2 - 3*m + 2 + m + 7*m**2. Let f be q(2). Let y = f - -18192\/13. Find the common denominator of 131\/6 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 647149856 = 11*z - 98980144. What is z rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/8 + 1\/2*-1. Let i = s + -1. Which is the second smallest value?  (a) 4  (b) 3\/17  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1\/5)\/(b\/(b*(b*b**1\/b)\/b*b))*(b\/(b**3*b))\/(b**4*b*b) assuming b is positive.\nAnswer: b**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q**2. Let y(l) = 363588*l - 363594*l - 51 + 12. What is z(y(f))?\nAnswer: -180*f**2 - 2340*f - 7605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, d: 1, u: 3}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*h = -271, h + 467 = -4*p - 4*h. Let k = p + 296. Suppose -x - k = -2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9423041 * -0.1.\nAnswer: 942304.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12211 at most 12206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70768 divided by 17692.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7831 at most as big as 23497\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 311\/20 + -12187\/740. Let x = n + 104\/111. Let h = -18 + 19. Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**2 - 7*v. Let j = -5 + 10. Let l(m) = m**2 + 8. What is the remainder when l(6) is divided by u(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10105 and 430.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 587780.\nAnswer: 587781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 121\/3. Let g = -8 - -4. Which is the closest to y?  (a) -2\/5  (b) g  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2953 - 2951. Factor 0*i + 0*i**k + 2\/13*i**4 + 0 - 2\/13*i**3.\nAnswer: 2*i**3*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5158780 divided by -2?\nAnswer: 2579390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z - 15 + 15. Let g(q) be the second derivative of q**6\/40 + 3*q**3\/2 - 28*q. Let n(t) be the second derivative of g(t). Give n(a(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 22*m**3\/3 + 11*m**2\/2 + 2190*m + 2819. Differentiate y(i) with respect to i.\nAnswer: 44*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2596088, -5192135, -7788182, -10384229, -12980276?\nAnswer: -15576323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -6*i**2 + 7 + i**3 + i - i. Let w(g) = 2*g - 1. Calculate the remainder when m(6) is divided by w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -4. Let c be (w + -6)\/((-2)\/(-2)). Let r = 12 - 16. Put r, -2, c in ascending order.\nAnswer: r, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 - 4*c**2 + 10*c + 1 - 9*c - 2*c in the form w*c + g + y*c**2 + o*c**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13\/2 - 25\/4. Let v be 1\/2*(-22)\/4. Let t = v + 3. Is k less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -939, -1884, -2831, -3780?\nAnswer: -4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5575*c - 2 - 2768*c.\nAnswer: 2807*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**2 + 73*v**4 - v**2 - 40*v**4 - 9 - 8*v - 32*v**4 - 2*v in the form j*v**4 + f*v**2 + b*v**3 + r + u*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.2716848 less than -0.4?\nAnswer: -15.6716848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3 + -43)\/((-50)\/(-5)))\/(2016\/(-135) - -15)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/6 - (-34)\/6. Suppose 3*v + 2*k = k + 23, 2*v + k = 14. Let n = v - 12. Put x, 3, n in ascending order.\nAnswer: n, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - (9 + -9)) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f = 0. Let m be (f\/(9\/3))\/(-1). Suppose -3*n + m*n - b = -74, 4*b + 120 = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1958309 to the power of 1\/2, to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 7*v - 4*v. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11626174 to the nearest integer?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Express -5*u**2 + 0*u**2 - 11*u + 2*u + u**3 + 7*u in the form s*u**3 + v*u + t + h*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2052934 divided by 26?\nAnswer: -78959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68291130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 154243*l. Let r(s) = -s. Give h(r(o)).\nAnswer: -154243*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 3*m + 71, -3*v + 9*m - 8*m - 37 = 0. Let d(a) = -a - 8. Calculate d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 507 - 134. Let q = 596 - w. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 171, 176, 195, 234, 299, 396, 531?\n\"Answer: l**3 + l**2 - 5*l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 396721, 793442, 1190163, 1586884, 1983605, 2380326?\n\"Answer: 396721*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 4*o + 76, 94 = 5*i - o - 3*o. Calculate the remainder when 37 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217783, -217602, -217421, -217240?\nAnswer: -217059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 948 by 1342.\nAnswer: 474\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3*sqrt(8)\/sqrt(4) - ((sqrt(240)\/sqrt(10))\/sqrt(12) - sqrt(2))*-4.\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -109*g - 67. Is i(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -30\/13, 20.\nAnswer: -30\/13, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f - 3. Suppose 0 = 3*w + 6 - 12. Let p be g(w). Calculate the highest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 1:02 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-13) - 93\/(-13). What is the first derivative of q**3 + 5*q**3 + 3 - s*q**3 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and -376179027144.\nAnswer: -376179027143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 15*x**2. Let v(y) = -y**2 - 6. Let h(k) = -5*k**2 - 25. Let c(z) = -6*h(z) + 25*v(z). Determine c(f(o)).\nAnswer: 1125*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 85 = 5*z, 2*z + 169 = 8*c - 3*c. Put c, 0, -9 in decreasing order.\nAnswer: c, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 17*h - 15. Let a = -6 - -11. Suppose -5*o = -3*b + 25, -b - a*o = -3*b + 25. Solve b = -2*y - h + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10747715?\nAnswer: 5, 11, 195413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2569175 and 1?\nAnswer: 2569175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/989 - 6789\/66263. Let x = -688\/469 + t. What is the common denominator of x and (7\/20)\/(13\/(-364))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -963708 times -41?\nAnswer: 39512028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 - 55*m + 599. What is f(40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 65 in descending order.\nAnswer: 65, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsxxsxxwwxxssssxss. What is prob of picking 2 s?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 346 + -346. Let y = 1 + 2. Which is the nearest to f?  (a) -4  (b) y  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 4674 in increasing order.\nAnswer: -1, 4, 4674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssiiii. Give prob of sequence siii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b + 1. Let m(i) = -i. Suppose -f = 2*u - 15, 4*f = -5*u + 6*f + 15. What is u*m(k) + 2*g(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w + 4. Let f(s) = -s - 5. Let b(h) = 4*f(h) + 5*u(h). Let g be b(4). Differentiate -6 + 6*n**g + 2 - 1 wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**4\/6 + b**3\/6 + 5*b. Give f(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 1709376635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 r when four letters picked without replacement from {m: 2, r: 12, o: 3, z: 3}?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3704*p - 12. Suppose 8*k = k + 21. Let u be s(k). Suppose 0 = 4*t - 488 - u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 10) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 350 - 3?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-10)\/c**6*((c*c*c*c\/c**3)\/c)**4 assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**26)*(f\/(f*(f\/f**19)\/f))\/f*((f*f**24*f)\/f*f)\/(f*f**18*f))**45 assuming f is positive.\nAnswer: f**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 631105?\nAnswer: -631103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 5:38 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjwwbvjb. What is prob of picking 1 j and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 + 31.7. Put 0.2, i, 2 in decreasing order.\nAnswer: 2, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2 + sqrt(1377)*2*-6*-5))**2.\nAnswer: -34560*sqrt(17) + 79315264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/6  (b) 8  (c) 0.3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/(sqrt(12)*3))\/(-5*sqrt(72)) - (1 + 3*sqrt(396) - (sqrt(396) + (3 + sqrt(396))**2*6)).\nAnswer: 18359*sqrt(11)\/90 + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - f = 646. Let j = -112503 - -112585. Calculate the remainder when f is divided by j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**5 - 169*t**4 - 1573*t**3 - 5123*t**2 - 6924*t - 3204 = 0.\nAnswer: -3, -2, -1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*b**3*h**2 + 49*b**3 + 2*b**2*h**3 - 2*b*h**3 - 212*b wrt b?\nAnswer: -60*b*h**2 + 294*b + 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 2*a**2 - 2*a + 7. Let y be n(-3). Suppose 4*l + 50 = 2*b, 0*b - 3*b + 67 = -y*l. Suppose b*x - 19*x - 2 = 0. Let m(w) = -w - 1. What is m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -3e031?\nAnswer: -3e035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 1*(-1)\/1. Let z be -2*(21\/(-6) + 3). Let w(s) be the third derivative of -s**4\/8 + 4*s**2. Let i(n) = n + 1. Determine j*i(c) + z*w(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39421745.\nAnswer: 5, 11, 113, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 4*y - 29 - 13 + 28, -2*n - 3 = 7*y - 5*y - 17 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(108)*4 - sqrt(108) - sqrt(108) - (1 + 1 + sqrt(108)))**2.\nAnswer: 264*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2491348742.\nAnswer: 2, 17, 19, 113, 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - w = 0. Suppose w = 4*s - 0*s - 160. What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 50\/6 + 8\/(-24). Suppose 2 = -5*c + 12. Solve c*p - 7 = 5*o + j, 4*o - 5 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 k when three letters picked without replacement from {w: 1, c: 3, k: 4, v: 2, l: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -403*w + 773*w + 709*w = 2158 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4855 = -15*z + 1640. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -87, -80, -71, -60, -47, -32, -15?\n\"Answer: s**2 + 4*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/33 and -43\/324.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 136, -4\/5, 20, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 694613.9ug in kilograms?\nAnswer: 0.0006946139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5 - 6*z**4 + 12*z**3 - 10*z**2 + 3*z = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 100001000001001101?\nAnswer: -100001000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/20 - 41\/(-4). Solve -r - 4*r = -q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 183, -7\/3, -2\/19, 4?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + f**2 + f - 3. Let s be j(0). Let q be ((-1)\/(-3) + -1)\/(s\/72). Solve t = 5*t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(102)*-6)\/(sqrt(6) - (sqrt(36)\/(sqrt(6) + sqrt(24)) + sqrt(6))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -543627 (base 8) to base 6.\nAnswer: -3523211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -131*q**2*x**3 + 389*q*x**3 wrt q?\nAnswer: -262*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*t**2 - 24*t**2 - 26*t**2 - 27*t**2.\nAnswer: -53*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 592.3156\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(1\/2)*p))**(-8))**48*(p**(-3\/5)*p*p\/((p*p**(-2))\/p))\/(p*p**(-6\/7)*p**(1\/2)) assuming p is positive.\nAnswer: p**(40513\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -71, 0 in ascending order.\nAnswer: -71, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 127659*v**4 - 52*v - 727 wrt v?\nAnswer: 1531908*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 14*x - 56. Let n be u(5). Suppose -n*w + 4374 = -6308. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1686021552790 and 0.5.\nAnswer: 1686021552790.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5797.488317 rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 754671919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 13 = -15. Suppose -4*o - 5*v + 8 = -20, -3*o = -m*v + 10. Let w = -7 + 12. Put w, o, 6 in descending order.\nAnswer: 6, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + -4 + (1 - -4). Let s = 113 - -2. Suppose s = 4*i - n*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 10*n. Let z be f(-1). Suppose 4*u + 15 = 5*y, 5*y = -u + 2*u. Let v = u - z. Calculate the greatest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v + 9274 + 9206. List the prime factors of v.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4*(sqrt(76)\/sqrt(2))\/sqrt(2) + -1)**2.\nAnswer: 24*sqrt(19) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3315945872*r. Let v(h) = -2*h**2. What is d(v(a))?\nAnswer: 6631891744*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199368.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 - 0 - (1 + -1). Let m be -36 + (z - 2 - 2). List the prime factors of (-1*1)\/(9\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 144\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27619 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 134.47 and 17?\nAnswer: 117.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*-11.4\nAnswer: 0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2537 divided by 4.\nAnswer: 2537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1+166461\nAnswer: 166460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*m - 2 - 1 + 55 = 0. Sort m, 17, -5\/3, -4\/7 in decreasing order.\nAnswer: 17, -4\/7, -5\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 6*i**2 - 2*i - 3. Let y be d(-6). Let s = -4 + y. Suppose -s*j = 5*g - 10, 4*j + 3 = -3*g + 7. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 - 3\/2*p - 1\/4*p**4 + 0 - 1\/4*p**2.\nAnswer: -p*(p - 3)*(p - 2)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*r + 32 - 32)*(28*r**2 + r**2 + 24*r**2 - 11*r**2) in the form g*r**3 + n*r**2 + t + x*r and give g.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68181.\nAnswer: 3, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**22)**(-3)\/(((c*c*c**(-27))\/c)\/c)**(4\/25) assuming c is positive.\nAnswer: c**(-1542\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7487 - 7407. Calculate the least common multiple of n and 440.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1443 * 1524.\nAnswer: -2199132","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 286156909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 80244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1376912 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 533?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -5*b - 12, 2*b + 3*p - 2157 = -2164 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-783)\/9135).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (1 + sqrt(117) + sqrt(117))*6)**2 + -1.\nAnswer: 288*sqrt(13) + 16863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*1\/6*3. Let m = -2928 - -2927.8. Which is the third biggest value?  (a) -1  (b) m  (c) 0.3  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**2 - 515 + 281 + 0*l**5 - 5*l**5 - 237*l**3 - 186 + 18*l**3 wrt l.\nAnswer: -300*l**2 - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(7) + sqrt(7) + -2 - sqrt(7)*-2*1) + 4.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6125653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(-6)*3\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 190*m - 92*m + 183*m + 375*m + 57*m in the form f + t*m and give t.\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5.3  (b) -0.1  (c) -0.844\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -585 divided by 65.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, -0.5672, -1019 in ascending order.\nAnswer: -1019, -0.5672, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/l**7)\/l*l)\/l**(-7))\/(l**(-2\/7))**(5\/6))\/(l*l*l*l*l**(-2\/9)*l**7*(l**3\/l)\/l**(2\/15)) assuming l is positive.\nAnswer: l**(-3593\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/15 and -103\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, 87, 214, 323, 408, 463?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from ununcrncunon?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 20927486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*h = -16*h - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xouoxuodduxllooddo. Give prob of picking 1 d, 1 u, and 2 l.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1 and 416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 - 99 = 31*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1527431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*t - 17 + 8 + 9 - 42*t.\nAnswer: 111*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/5 + 84*w\/5 + 3087\/5.\nAnswer: -3*(w - 49)*(w + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3026167 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 6:00 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.1, 0, -1740, -1, -5, -1.37, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -19*c**2 - 12*c. Let y(w) = 4*w**2. Calculate i(y(a)).\nAnswer: -304*a**4 - 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 51 - 66. Let r be (-114)\/38*(17\/g - -1). Which is the nearest to -0.1?  (a) 0  (b) r  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15288\/33124)\/((-1)\/52).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o - 201. Let y(q) = -103*q - 40 + 4*q**2 - 123*q + 216*q. Let b(d) = -d**2 + 3*d + 12. Let n(a) = -10*b(a) - 3*y(a). What is g(n(m))?\nAnswer: -4*m**2 - 201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 3*v = 4*i + 147, -4*i + 2*v - 142 = 0. Let t be 6\/8 + -1 - 81\/i. Solve -t = -3*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122944633?\nAnswer: 7, 367, 47857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttxxowkk. Give prob of picking 1 t, 2 o, and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -w + 3. Let s(c) = -c + 6. Let l be s(7). Let o be (-6)\/(-69) + l - -1. Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -221 + -104. Let b = -18 - l. Suppose -p = v + 3*p - b, -3*p = 3*v - 957. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -848241*y**4\/4 + 12724536*y**3 - 106085386*y**2 + 460560*y - 500 = 0. What is y?\nAnswer: 2\/921, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-14) + 562\/(-7). Let v = -37 - p. Suppose -a + v + 16 = 0. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**4 + 12206*w**3 - 40451253*w**2 + 19123684732*w - 38085662084 = 0.\nAnswer: 2, 562, 5821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 316028 and 15129?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dccd when four letters picked without replacement from {c: 11, d: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 11, 2, 3, 193, 5 in decreasing order.\nAnswer: 193, 11, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 78*i**2 + 19. Let a(o) = 13*o**2 + 3. Determine 39*a(h) - 6*j(h).\nAnswer: 39*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 15*u**2 + 17*u - 20. Let m be t(14). Let i be (m - -2)*(-2 - 9\/(-2)). Suppose -q + i = -7*q. Round q to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/(-1 - -4) - -13. Solve 19*f - 6 = h*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -10*z + 42. Solve z = -9*q + 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i + 0*i + 5*i)*(6*i**3 + i**3 - 6*i**3) - 218*i**4 + 7*i**4 - 291*i**4 + 112*i**4 as f + r*i**2 + p*i**4 + j*i**3 + v*i and give p.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -859 - -368. Let w = 492 + v. Let y(a) = 5*a. Determine y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 21513832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-6 + 6) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 40035703 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r - 46. Let g(u) = -u + 23. Give -2*d(t) - 5*g(t).\nAnswer: t - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 1)*6\/6. Let l = b + 6. Suppose 0 = q - 3, -l*z - 78 = -z - 2*q. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + u + 5*q + 2080 = 0, -3*u + q = -1560. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 635\/(-840) - 39\/(-52). Which is the third biggest value?  (a) -3  (b) y  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -o - 4*o - 6096, 4*a + o = 8105. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 + 12 + 1306*t - 125*t + 9 in the form r + l*t and give l.\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15235*r**2 - 180*r - 8.\nAnswer: 30470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -5*j**2\/2 - 33*j - 313. Let v(q) = -11*q - 67. Give 4*v(i) - 9*z(i).\nAnswer: i + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94401027?\nAnswer: 3, 7, 1498429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 376 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*q - 3774 = 0, 0*q = -5*k - 3*q + 6309. Suppose 15*o = k + 1425. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-4)\/(-7 + -25)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3 - 2. Solve 0 = -j*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 4*v - 2*v)*(-16 + 6 + 20*v - 22*v) + (-2*v - 2*v + 5*v)*(-v + v - 3*v) + 3*v**2 + 0*v**2 - 4*v**2 - v**2 - 3*v**2 + 3*v**2.\nAnswer: 5*v**2 + 50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3435 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59805 - -33688. Let s = -7597 - y. Suppose 5*w - 4*q - 18508 = -2*q, -5*w + 5*q = -s. What is w rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -7*f**2. Let s(o) be the second derivative of 10*o + 0*o**2 + 1\/6*o**3 + 0. Determine s(j(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than -145.959700081?\nAnswer: -146.159700081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 145*j - 2327 + 4129 + 7623 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of -536*(-12)\/8*(-15)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 26*c**2 - c. Let z be j(1). Solve 5*w + h = 22, -2*w + 0*h + 5*h = -z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u + 5*t + 4460 = 0, 0 = -2*u + 4*t + 1790. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)*4 + -4)**2 + sqrt(242) + sqrt(242) + ((sqrt(50) - (sqrt(50) - sqrt(100)\/sqrt(2)))*6)**2.\nAnswer: -330*sqrt(2) + 5688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -340 + -11?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.03 + 0.63. Let d = 0.3 + o. Let v = d + 1.1. Which is the closest to 0.2?  (a) -1  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l**5\/20 - l**4\/2 + l**3 - 2*l**2 + l. Let j be x(5). Find the second derivative of 4 - 2*k - j - 2*k**3 - 3 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k**4 - k**2 + k**2)*(21 + 622 + 1152) to x*k**4 + m*k**2 + v + c*k + o*k**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((84\/(-98))\/(3\/(-14)))\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*i + 3, 4*i - 3*v - v = -8. Let x be 2 + 4*(-2)\/(-4). Suppose -i*w = -x*w. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(2\/3)*t)\/(t\/(t\/(t*t**(-4\/9)\/t)*t)*t))\/(t*((t\/t**(2\/11))\/t*t)\/t*t\/t**(2\/5)) assuming t is positive.\nAnswer: t**(1333\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -36828 rounded to the nearest 100?\nAnswer: -36800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 22320 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 44455 (base 6) in base 10?\nAnswer: 6227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -18 divided by 18879\nAnswer: -6\/6293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - -17. Suppose -3*j = 4*v - v - 33, 0 = -2*v + j + 7. What is the remainder when i is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f - 2. Let l be a(1). Let t be 4 - (-1 - (-3 - l)). Suppose t*n - 5*n - 4*o + 298 = 0, 5*o + 25 = 0. Round n to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmv when three letters picked without replacement from {v: 3, m: 5, d: 8}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388 + 864 = 28*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 1, 23907 in descending order.\nAnswer: 23907, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/10)\/((-8)\/(-48)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/9 - -2) + 16\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94 - 59 - 2*f - 161.\nAnswer: -2*f - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**3 + 22*q**2 + 85*q**2 - 1029 - 18*q**2 + 5*q**3 + 1026.\nAnswer: 4*q**3 + 89*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (10 + -3 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m. Let a(l) = -1344971*l**2. What is j(a(s))?\nAnswer: -4034913*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*2*2\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 1951305.\nAnswer: 1951305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4597, -18405, -41421, -73645, -115077, -165717?\nAnswer: -225565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -6. Suppose -4*u = -2*d - 22, l*u + 5*d = u + 23. Suppose -3*j = u*j - 9. Put j, -4, -6 in ascending order.\nAnswer: -6, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 6*((sqrt(1573) + -1)*-2 + (sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 0 + sqrt(1573)))*-6)))**2.\nAnswer: -12012*sqrt(13) + 2774941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (4 - 5) - (2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98795 and 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, v: 3, t: 2, s: 3, i: 10}. Give prob of sequence vvt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - t + 2)*(-t**3 - 12*t**3 - 5*t**3) - 75*t**3 + 75*t**3 + 23*t**2 + 2*t**4 + (-t + 4*t - t)*(t**3 + t**3 - t**3).\nAnswer: 22*t**4 + 23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 0*y - 24 = 4*y, 2*u = -3*y - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4017 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**2 - 12*q + 2. Suppose d + 3*c = -11, -5*c - 1 = -4*d - 8*c. Calculate x(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {r: 4, s: 3, x: 2, v: 2, n: 2, p: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + ((-2)\/20*4)\/(42\/105). Let g(x) = -x**3 + 5*x**2 + 8*x - 9. Let v be g(6). Solve y*f + v = 2*b, -30 = 5*b + f + 4*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/62 and 103\/310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/60*-16 + -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2 - 3 - 27269*b**4 + 26394*b**4 + 148*b wrt b?\nAnswer: -10500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3 - -101*(-9 + 10) is divided by 94.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880631489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8\/12 + -1)*12 + 564?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/((21*(-36)\/(-1134))\/(4\/(-6))). Suppose -2*n = 4*l + 30, l + 3*n = -l - 5. Put p, l, 2, -1 in increasing order.\nAnswer: l, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 141649\nAnswer: 4\/141649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (114\/36)\/(307\/(-1842))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**3 - 5*m**2 + 17. Let d = -144 + 142. Let j(u) = u**3 + 2*u**2 - 8. Give d*f(t) - 5*j(t).\nAnswer: -t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**5\/7 - 3*k**4\/7 - 46*k**3\/7 - 72*k**2\/7 = 0.\nAnswer: -4, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3556 and 26712672.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 135054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 4712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 126 divided by -569\nAnswer: -126\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 19381 - 1 - (-5 - -5). Suppose 8*o + 12*o = r. What is o rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -p**2*t + 4023*p**2 - 53021049*p*t - 240*p + 2*t wrt t?\nAnswer: -p**2 - 53021049*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -5, -189, 0.5, 0, -233 in increasing order.\nAnswer: -233, -189, -5, 0, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c + 0 + 26*c**2 + 1\/6*c**4 - 5\/6*c**3. Give m(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 413 = -89. Calculate the remainder when c is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -14  (b) 4  (c) 2\/301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.731139 decades in years?\nAnswer: 87.31139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26 and 4616937?\nAnswer: 9233874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 8*d - 8. Let j be h(2). Put 0.1, -6, -0.2, j in decreasing order.\nAnswer: j, 0.1, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10692 - 34?\nAnswer: 1065c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 10, j: 1, i: 1, q: 2, o: 1, t: 3}. What is prob of sequence qbb?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28 + 13. Let v = h + 20. Find the second derivative of 14*j**v - 7*j - 5*j**5 - 3*j wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 23\/281 or 0?\nAnswer: 23\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (400\/(-1625))\/(180\/(-225))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1718, -1748, -1806, -1898, -2030?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + q**2 - 2. Let x be z(2). Suppose 0 = 2*r - 2*f - x, r - 5*f - 2 = -1. Calculate the remainder when 9 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/31  (b) -9  (c) -0.4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -6*l**2 - 5. Let b be 4\/(-6)*33\/(-22). Let x(f) = b - 7 - 6*f**2 - f**2. Let j(a) = 3*a + 1. Let m be j(-2). Give m*x(z) + 6*c(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 140 = 6*v. Suppose 10*a + 5*a = 210. What is the smallest common multiple of v and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d = 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**4 - 311*l**3 - 1522*l**2 + 2460*l + 3672 = 0. Calculate l.\nAnswer: -306, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -52*m + 5047. Calculate d(97).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q + 24 = -24*q. Suppose 4*m + 2253 = 5*c, -q*c = -11*c - m + 1345. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1430023313 (base 5) to base 9\nAnswer: -7047334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 2\/9  (c) 0.2  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2975136, -5950250, -8925364?\n\"Answer: -2975114*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5261, -5248, -5223, -5180, -5113, -5016, -4883?\nAnswer: -4708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -71797454 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r + 1 + 3*r - 2*r. Let w(v) = -25*v**2 + 7*v**2 + 10*v**2 + 8*v**2 + 15 - v**2 + 6*v. Let d be w(8). Determine g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a**3 + 3*a**3 + 18*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 711 is divided by 142.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.02293 + -0.97707. Sort -1\/3, l, 0.5, -0.09, 23 in descending order.\nAnswer: 23, 0.5, -0.09, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -10 - (2 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/5)\/(544\/2040)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7177 - 0.1.\nAnswer: -7177.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1540432237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -763 - -765. Let d = 11\/2 - 19\/4. What is the second biggest value in c, 0, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {r: 2, a: 1, z: 1, p: 2, h: 5, d: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7759766?\nAnswer: 2, 7, 554269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 40, 2 in ascending order.\nAnswer: 0, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 609083644.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 831852863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, z: 2, q: 1, s: 4, i: 3}. What is prob of sequence zs?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + u + 126, -2*f - 112*u + 114 = -110*u. Solve -f*z + 66*z = -30 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 8:54 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 108 and 130464?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1782 + -1780. Let w be 5\/(-2)*1*-2. Suppose -4*c = c - w. Is z greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -571*o + 1268*o + 1660*o + 765*o.\nAnswer: 3122*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43 - 41. Differentiate -14*s**h - 7*s**2 + 43 - 18*s**2 - s**2 with respect to s.\nAnswer: -80*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -34903, -138949, -312367, -555157?\n\"Answer: -34686*y**2 + 12*y - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 13 = 6*q. Suppose 70 = -q*s + 703. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 414359903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 63, -9, -16, 2.\nAnswer: -16, -9, -2, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -67, -4, -40676 in decreasing order.\nAnswer: -2, -4, -67, -40676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 11888020 (base 10) to base 3\nAnswer: 211100222022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l - 1. Suppose 4*b = -6 + 26. Let n(j) = 3. Let d be ((-1)\/(-4))\/(80\/320). Give b*i(x) + d*n(x).\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 28973, 58057, 87141?\n\"Answer: 29084*i - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*u - 4361411 + 44426 = 0. Does 97 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3)*(-15*c + 40*c + 2*c**3 - 129*c).\nAnswer: -4*c**3 + 208*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -786, 0, -4 in descending order.\nAnswer: 0, -4, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + 3 - -2*sqrt(15)\/sqrt(5).\nAnswer: 3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.025 + -301193086\nAnswer: -301193086.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/8*8*-1. Let l = 21 + r. Put l, -0.01, -5 in ascending order.\nAnswer: -5, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r + 2 - 2)*(0 + r + 0 + (-2*r - 4 + 4)*(-10 - 8 + 2)) as z*r**2 + b*r + y and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*z + 1 = 5*n + 1, z - 79 = -2*z + 3*n - 79 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13899 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 252.5 at least 286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5765?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 50278847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((j - 1 + 1)*(8*j - 3*j - j) + (-7 + 6*j**2 + 7)*(-3 + 4 + 3))*(-5*j - 3*j + 7*j).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2115435 from 14.\nAnswer: 2115449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -15, -57, -137, -267?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-3)*36\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = -2*f. What is the closest to 2\/3 in -5, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 34*j**4\/7 + 4017646*j**3\/7 + 118687466558*j**2\/7 + 6981601778*j\/7 = 0.\nAnswer: -59083, -1\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*i - 3, 0 = -5*n - 2*i + 365. Let q be n*((-10)\/12 + 0). Let k = -2371\/42 - q. Find the common denominator of 58\/9 and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 4661241086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8490\/(-4528)*9*(-10)\/75.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6526382\/13 or -1?\nAnswer: -6526382\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -4, -45, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -284160 rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 6*h**2 + 4*h + 10. Give l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -287*b**2 - 1315 wrt b?\nAnswer: -574*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from axtxxaahxtxxhxhxtxhh. What is prob of sequence txh?\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 1)*(-2044 - o + 9*o**2 + 2044) + 3*o**2 - 6*o**2 + 4*o**2 to the form a + m*o**2 + j*o and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1529.294274 rounded to 2 dps?\nAnswer: 1529.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-128*k + 70999 - 70999)*(-k + 0*k + 0*k) to the form m*k + r*k**2 + q and give r.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, f: 10}. Give prob of sequence tfft.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -23.7, 2, 4, -1 in increasing order.\nAnswer: -23.7, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24\/56)\/((-2)\/(-14)). Suppose 2*k + 3949 = h, -2*k + 8685 + 3154 = y*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 392 divided by 13\nAnswer: 392\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11121 + 1022012022222?\nAnswer: 1022012011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 474*j - 27*j**3 + 28*j**3 - 474*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13 + 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*s**2 + 6*s**2 - 47*s**2 - 46*s**2.\nAnswer: -65*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -526305\nAnswer: 1\/175435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 6*f**2 - f - 7. Suppose -6 - 4 = -2*w. Calculate the remainder when r(w) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u**3 + 36*u**2 - 135*u = 0.\nAnswer: -15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 5 = -4*w + 5*t, 5*t - 30 = -3*w. Let u(o) = -o**2 + 4*o + 4. Let c be u(w). List the prime factors of 30 - ((5 - 2) + c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 49530 and 2990?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 6 = 2*y - 2, -4 = y + i. Which is the nearest to 6?  (a) -4  (b) -0.1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*q**2*r**3 + q**2 + q*r**2 + 3*r**4 - 26*r**3 - 164 wrt r.\nAnswer: 12*q**2 + 72*r - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/3)\/u)**(2\/15)*(u**(-1\/2))**(-34) assuming u is positive.\nAnswer: u**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 14. Calculate s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, w: 1, n: 1, m: 4}. Give prob of picking 2 y, 1 w, and 1 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/38*(-1789)\/(-62615).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**2*u*u))**(-6)\/((u\/((u\/(u**8*u)*u)\/u)*u)\/u*u**(3\/10)) assuming u is positive.\nAnswer: u**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*c + 16*c + 4*f = 16, 5*c + 5*f = -40 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-920)\/(-1127)*7*(-28)\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1052 - 1023) + (13 - 1) + 2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 92170137979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -33*t - 11. Determine x(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3686 and 8987190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 598 and 565?\nAnswer: 337870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(-4)*-28*(52\/91)\/(-4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/9847, 0.3, 3?\nAnswer: 4\/9847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-4) + (-6)\/(-8). Suppose -4*h + 4*s = -40, 0 = -0*h - b*h + 3*s + 15. Let l = 58 - 55. Solve 0 = l*y + 2*y - h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 6*t - 25656, 17*x - t = 20*x - 25670. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -114, -296, -486, -690, -914, -1164, -1446?\n\"Answer: -l**3 + 2*l**2 - 181*l + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -17*a**2 + 11*a + 26. Let o(v) = -2*v**2 + 4*v + 13 - 7*v**2 + 2*v + 0. Let x(u) = -6*h(u) + 11*o(u). What is the derivative of x(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2115744155 and 865.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/238*(-4)\/(-9).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*w + 15*w - 8*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -w**5\/60 - w**3\/3 - w**2\/2 + w. Let b(c) be the first derivative of k(c). Let a(g) = -1 + 5 - 4 - 1. Give 2*a(o) - b(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 0*u + 4*u)*(-14 - 21 + 2).\nAnswer: -165*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/15 + 47497\/5. What is x rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6545\/2618*(-66)\/5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 631435 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - ((3 - 0) + -4). Let g = r - -2. Let s(k) = 2*k + g + 6*k - 4*k + 2*k**2 - k**2. Calculate s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -58*d**3 + 76*d**2 - 27*d - 2. Calculate f(2).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1\/125, 24, -135.\nAnswer: -135, -0.1, 1\/125, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3 + 2 + 2*i - 1 - 3. Let o be x(7). What is the remainder when (-5330)\/(-90) + (-2)\/o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47.5 + -48. Which is the closest to -0.1?  (a) x  (b) -4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 1. Suppose 10*j = 3*j + 294. Suppose j + 42 = -2*r. Let m = r - -48. What is z(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-6) - (4 + 259\/(-21)). Solve 3*k - s + 0 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -w + 2, -4 = 12*w - 11*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 9*i**2 - 10*i - 7. Suppose 38*w + 28 = 34*w. What is u(w)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k**2 - 5*k**2 + 2 + 9*k**2 - 3*k**2. Let m(l) = 24*l**2 + 9. Determine -2*m(o) + 9*s(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -307 - 451?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 1 + 8*a + 0 - 2*a - 2 - 6*a**2. Let d be l(5). Suppose 0 = -c + 5*n + 13, 4*c + 0*n - 76 = -d*n. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 0 + 1\/12*a**5 + 25\/24*a**4 - 1\/240*a**6 + 0*a - 11*a**2 + 0*a**3. Let y(l) be the second derivative of x(l). What is y(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6011593 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -83\/129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.05, 62\/8151, 0, -8, -3\/5 in decreasing order.\nAnswer: 0.05, 62\/8151, 0, -3\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2069302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/24*12\/(-2))\/(-2)*-26. Solve 121 + 191 = -s*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + -25.975713.\nAnswer: 8.024287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 21778871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 1 + 16 = 5*n, 0 = -5*w - 4*n - 56. Let c be 40\/w + 2\/6. Let y = 0 - c. Solve 0 = -y*p + 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*s - 45*s - 22440 = -2*z, -z + 5*s = -11247. What is the remainder when z is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 times -4240753\nAnswer: 42407.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 7 = 2*d + 43, d - 2*y = -17. Let p = 1 - d. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -30, -44, 113, 24, -3, 3 in decreasing order.\nAnswer: 113, 24, 3, -3, -4, -30, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8363 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-4\/5)*r)**9*r\/(r*r**(-17))*r*r**(-11) assuming r is positive.\nAnswer: r**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -504 (base 6) in base 8?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13322233 (base 4) to base 2\nAnswer: -111111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 24 + -28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 28486911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 641545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 10*s + 215. Calculate q(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12313992 and 4617747.\nAnswer: 36941976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-two sevenths of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -17*i**3\/3 + 12*i**2 - 18*i. Differentiate y(u) wrt u.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*1*(-36)\/8 + (-114 + 49 - -63)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 0*j**3 + 4 + 1\/4*j**4 - 5*j + 0*j**2. What is the derivative of a(q) wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 36\/(-45)*(-10)\/4. Let t be 10\/z + (2 - 2). Solve 0 = -t*a - 6 - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -33*l - 44. Suppose 33 = 5*t - 2*m - 104, -3*t - 4*m = -103. Suppose 4*u + 47 = -t. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 5*n + 10, 3*n = 6*n - 15. Let s be (y - -1) + (1 - 2). Suppose 4*l - 3*k = 19, 0 = -s*l + 3*k - 1 + 13. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 7*t - 37. What is the tens digit of n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(119) - sqrt(119)*-1))\/(sqrt(7) - (sqrt(70)\/(sqrt(20)\/sqrt(2)) + sqrt(7)))*-5 + 4 + 3.\nAnswer: 7 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -38. Suppose -x = -u + 1. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12 take away 177?\nAnswer: -177.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: In base 5, what is -10 + 402444?\nAnswer: 402434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 256214 + 1?\nAnswer: 256215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 + 12. Let v = i + 14. What is the closest to 0 in v, 0.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -59. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*p - 2*b, -11 + 13 = -2*p - 2*b. What are the prime factors of 188 - p*(-7 + 8)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 5*v**2 + 6*v + 27. Let k be a(-5). Let b(n) = -327*n + 4. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 + 52 + (-13 - 86) - (5 - 2 - -113).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 38.614 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7 = 5*n, n + 2*x + 12 = 6*n. Suppose 0 = -n*a + 76 - 4. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58585 is divided by 19255?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 9 = -2*c. Suppose 1 - 100 = -c*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -277, -552, -807, -1042, -1257, -1452?\n\"Answer: 10*w**2 - 305*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - -9) + -5 + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 203 - 163. Suppose 2*b + 4*z = k, 4*z - 30 = -4*b + 50. Calculate the remainder when 56 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-3) - 6106\/(-258). Let b(q) = 8*q - 25. What are the prime factors of b(v)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16797501403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 75502249?\nAnswer: -30200899.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 86 = 2*y, y + 2*a = 4*a + 44. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4959.455 years in centuries?\nAnswer: 49.59455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*p - 42*p + 1615 = 7*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*p + 3*p + p)*(-2*p + p**2 - 2*p**2 + 3*p) as f*p**3 + m + d*p + h*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 19. Let w = y + -7. Suppose -w*c - 13 = -55. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -7*j**3 - 6*j**2 - 17*j + 3. Let i(n) = -6*n**3 - 6*n**2 - 16*n + 4. Let a(h) = 5*i(h) - 4*l(h). Does 6 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) -3\/7  (b) 2\/9  (c) -0.1344  (d) 2  (e) -13  (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 368021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 3. Suppose 2*c + 1 - 3 = y. Let p be 126\/3 - c*2. What is the greatest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(243) - (sqrt(243) + 0)))**2 + (((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(12))**2 - -1*sqrt(3)*-6).\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 273, 574, 889, 1218, 1561, 1918, 2289?\n\"Answer: 7*n**2 + 280*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 130*d**2 - 1. Let k be l(1). Suppose -3*v + 43 = -4*y - 115, -3*v + 159 = -3*y. Let j = k - v. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 4*v**3 + 3*v**2 + v - 1. Let i = -43 - -46. Is 24 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1191 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 2\/3, 1\/7, 7\/3, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -152129486*n**2 + 12*n.\nAnswer: -2*n*(76064743*n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - 13*u**2 + 4*u + 14. What is the units digit of b(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/10107, 0, -2251.\nAnswer: -2251, 0, 2\/10107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3545 = -14211. Suppose 5*o + 4*q = 44403, -14*o + q = -12*o - v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -822 times -0.7?\nAnswer: 575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4988 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-77*2\/33)\/((-8)\/(-6))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 380 - 70 = 0. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*g**2*p**2 - 1130*g**2*p + 2*g**2 + g + 2*p**2 - 14095543 wrt g?\nAnswer: 22*p**2 - 2260*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/8)\/x**(-6))\/(x**1)**(5\/8) assuming x is positive.\nAnswer: x**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of x**4 - 11*x**3\/6 - x**2\/2 + 7*x + 2. Let n(k) be the first derivative of g(k). Is n(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -66 + 66.3. Let v = 0.56 - -0.14. Let x = 0.4 - v. Which is the third smallest value?  (a) x  (b) o  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 344\/131 + -27883\/13362. Find the common denominator of d and 137\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11, -25, -47, -77, -115, -161?\n\"Answer: -4*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.09  (b) -0.3  (c) 0.195  (d) 11  (e) -5  (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -124 + 226. Suppose 3*k - 93 = 12. Calculate the remainder when s is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 + (-12 + -2 + 12 + -4 - 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/2)\/(4\/48). Let u(r) = 3*r - 14. Let y be u(h). Solve 3*g = g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x + 0 - 7\/30*x**6 - 3*x**2 + 0*x**4 + 0*x**5 + 0*x**3. Differentiate n(b) with respect to b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -9\/4, -3, 0.04 in ascending order.\nAnswer: -3, -9\/4, -1\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 14 + 30 - 19 + 513*r - 167*r.\nAnswer: 346*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(2\/7)\/o))**(-4\/17)*(o\/o**0*o)**(-13\/4))\/(o**(-2\/5)\/o*o*o**(2\/7)*(o**0\/o)**(7\/13)) assuming o is positive.\nAnswer: o**(-96697\/15470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwlwwwlwklklwkk. Give prob of sequence lwkl.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 2:14 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 550 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 16*w**3 + 66*w**2 + 11. Let p(r) = -r**3 - 23*r**2 - 1. Let g(h) = -2*f(h) - 6*p(h). Let o(l) = 5*l**3 - l**2 + 3. Give -2*g(u) - 11*o(u).\nAnswer: -3*u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-28)\/h**(-8)*(h\/h**(6\/5)*h)\/((h\/(h*h**(-25))*h)\/h) assuming h is positive.\nAnswer: h**(-221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 27)*(20\/(-16))\/(-197 + 202).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -1. Let m = -5 - -5. Suppose m = -z + c*z - 3, -3*w + 2*z = -9. Solve -w*l = -2*q + 4 + 19, -2*l - 2*q = 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 142*j**2 - 12*j**3 - 294*j + 88*j - 11*j**2 + 2*j**3 wrt j?\nAnswer: -60*j + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 5*a**2 - 2*a. Calculate x(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361 is divided by 54?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v - 3. Let j(x) = 106*x + 211. Let a be j(-2). Let l(g) = 1. Let h = 6 - 9. Determine a*y(m) + h*l(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6876, -13786, -20754, -27786, -34888?\n\"Answer: -v**3 - 23*v**2 - 6834*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3710 and 7222628?\nAnswer: 36113140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hrrlrhrylsrrls. Give prob of picking 3 r.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1281753.3 to the nearest 10000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15066.1 - 14960.0372. Let u = -2.4272 - o. Let c = -108 - u. What is c rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2773808630?\nAnswer: 2, 5, 12109, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - w - x + 23, w - 2*x = -26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6507 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 730055465 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 10*z**2 + 8*z - 6. Suppose -17 + 53 = -4*u. Let q be f(u). Suppose q*l = 11 + 382. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -12) + 2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72\/264 - 63\/(-11) and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1017 is divided by 253.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23371*i - 31721.\nAnswer: -23371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -0.6, 1, 2\/13?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39381 is divided by 12092?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l + 29. Calculate the remainder when 1022 is divided by z(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -15516347 and -4.\nAnswer: -15516351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*c**2*l**2*v - 3346*c**2*l*v + 3*c*l**2*v + l**2*v + 194*v wrt c.\nAnswer: 8*l**2*v - 6692*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 6*g - 90. Let z be y(16). Let l(x) = 3*x**3 + 6*x**2 - 12*x**3 + 8*x**3 + 6. Give l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 8*d**2 - d + 3. Suppose -4*n - 43 = 2*a - 7*a, -2*a + 2*n = -18. Is 9 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbvbbhvbvvv. What is prob of picking 1 b and 1 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-79)\/(-55) + 22\/(-11). Let s = t + 4\/11. Let x = 3\/10 - s. Is x at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25\/8 + -13\/40. Suppose 2\/5*p**2 + 12\/5 - y*p = 0. What is p?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11724 or 996646\/85?\nAnswer: 996646\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-40)*5)\/(3\/(-36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 0*c - 5 = -5*z - 5*c, 4*z + 2*c - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6371 + 6611 - 11*m**2 - 248*m - m**3 + 280*m = 0. Calculate m.\nAnswer: -12, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 2*x - 4*l + 408, -405 = 4*x - 5*l. What is the tens digit of 70\/x - (2 - 292\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 5*x**2 - 14*x - 2. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5*(4*(-6463)\/(-5980) - (-1)\/13)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 15*x**2 - 5*x + 2. Let y = 119 + -116. Let i be h(y). Let o = i - -19. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66 + 73. Is (1\/(-3))\/(c\/(-52458)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y + 39*y - 12*y = 0. Suppose 0 = -y*g + 24*g - 768. Calculate the least common multiple of g and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jauluexjuluuuluxl. What is prob of picking 1 a and 1 j?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - 3. Let r = -5 - l. Let c = r + -12. Put c, -2\/15, 0.2 in increasing order.\nAnswer: c, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 10333*q**2 + 107*q - 706. Let a be z(7). What is a rounded to the nearest one thousand?\nAnswer: 506000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.472529 to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 - 12. Let x(g) = g**2 + 36*g + 4. Let l be x(-36). Let o = l + t. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6 - 2*s + 6 - 2. Let t be -2 + (2 - (7 + -2)). What is the units digit of k(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*f + 31*f = -4*z - 24, 71 = 3*z + 20*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 105 - 55418*l - 67.\nAnswer: -55418*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 7*o**2 - 18*o + 8. Let v(s) = -4*s**2 + 9*s - 4. Let f(x) = 3*h(x) + 5*v(x). What is f(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j - 41. Let n(a) = 2*a - 39. Give 5*n(r) - 4*u(r).\nAnswer: -2*r - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -1072*k + 1107. Give w(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/35, -5, 2\/7, 2\/9, 29.\nAnswer: -5, 2\/35, 2\/9, 2\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 4 - 0 - (-29 - 0)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 303953, 303958, 303963?\n\"Answer: 5*j + 303948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -i - 4*b, -5*i - 345*b - 13 = -349*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 1290 = 5*x + 8*w, -2*x + 491 = -3*w. What are the prime factors of x?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 558009*n**2 + 3779820*n + 6400900.\nAnswer: (747*n + 2530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*l + 5*l + 1 - 1.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110000101111000000 (base 2) to base 13.\nAnswer: -1c465c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-6)*828\/(-1449)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, s: 6, e: 2, f: 1, l: 4}. What is prob of sequence lf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3 + 518990*q**2 - 33567135646*q - 13204213300718.\nAnswer: -2*(q - 129943)**2*(q + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2112 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18901758401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2*-4 + -8 + 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 1:49 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqddqqqqqddqdqqq. Give prob of picking 1 d and 3 q.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 7 = -t, 98*w - 93*w + 3*t = -14. Let i(j) = -4*j**2 + 15*j + 9. Let u(o) = -3*o**2 - o - 1. Let g(a) = w*i(a) + u(a). Give g(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 2*j = 3*j + 14, 0 = 2*y + j - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 28207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -716781 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2. Let d = -20 + 26. Suppose 4*g - d*g = -10. Let l(z) = 2*z + 5. Let f(q) = -q - 3. Let b(h) = g*f(h) + 3*l(h). Determine t(b(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzqqzqqzdqdzzzzdd. Give prob of picking 1 q and 1 z.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 16*f**5 - 148*f**4 - 6744*f**3 - 8612*f**2 + 74768*f - 59280 = 0.\nAnswer: -15, -19\/4, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 x, and 1 b when three letters picked without replacement from bbaabbbfxxbluabfbbf?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 7) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24292318 and 3856.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778315446.\nAnswer: 2, 3, 23, 626663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1332192 and 24.\nAnswer: 1332192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = m - 12. Let t = -0.5 + 0.4. What is the closest to t in 1, 3, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (8 - 12) - (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 380487467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 - 3*m**2 + 6*m**2 - 3*m**2 - m**2.\nAnswer: -m**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + n - 248868. Suppose 3471128 = -4*r - n. Let h be -1 - -3 - (3 - r). Round h to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 10:23 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0701 * 12.43.\nAnswer: -0.871343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-22)\/(-33) + (-2)\/(-6)). What is the nearest to -0.1 in i, 19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 45*h - 42*h. Solve -12 = -u - 3*n, -5*n + h = -3*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15733038 - -5?\nAnswer: 15733043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -685.51151 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2438 + 8?\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 101 - 32. Let m = p + -15. Let k(v) = 66*v**2 - 7*v + 11. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/546 and 23\/237948?\nAnswer: 21653268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -321?\nAnswer: 160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**5\/60 - w**4\/4 + 2*w**3\/3 - 2*w**2. Let m be a(6). Suppose -5*d + m*d = 2. What is d rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 214542*l - 214542*l - 8*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 11000000?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 300*m + 85. Let z(q) = 485*q + 127. Calculate -8*v(d) + 5*z(d).\nAnswer: 25*d - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 1. Let x(d) = 2*d - 3. Let n(f) = -5*f + 8. Let c be 6\/(-1 + (-10)\/(-4)). Suppose -c*a = 15 + 17. Let q(h) = a*x(h) - 3*n(h). Give q(l) - y(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(102) + sqrt(102)*2))\/sqrt(6) + 3 - (sqrt(153) - (sqrt(153) + -4 + sqrt(153)*2 - sqrt(153)))**2*1.\nAnswer: -166 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/2812968 and -19\/156276.\nAnswer: 2812968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10224 (base 9) to base 7.\nAnswer: -25444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 7*a + 112. Let o(d) = d**2 + 3*d - 48. Let y(p) = 3*j(p) + 7*o(p). Let i(u) = -252*u. Calculate y(i(t)).\nAnswer: 254016*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, y: 3, w: 2, x: 3}. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -886 divided by -2?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01647463 to four decimal places.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -38. Let c(d) = -d**2 - 3*d + 4. Let l(q) = q**2 - 1. Let x(f) = -c(f) - 3*l(f). Let v(o) = -10*o**2 + 16*o - 6. Give g*v(a) - 11*x(a).\nAnswer: 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -9539*h + 57327. Determine z(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.02, 1, 1\/4, 0 in increasing order.\nAnswer: -0.2, 0, 0.02, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 6*j - 18. Let p be m(4). Suppose 61 - 283 = -p*y. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 165302 - 98965. What are the prime factors of n?\nAnswer: 66337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-114)\/48)\/19)\/((-2)\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/((-95)\/(-76)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + s + 7, 2*s - 14 = -106*f + 105*f. Calculate the greatest common factor of f and 1138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -194953*h**3 + 3696*h**2 + 4*h - 3.\nAnswer: -1169718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2 - 17*o**2 - 8*o**2 - 1902*o**5 - 16*o**4 - 4*o**4 + 46*o**3 + 1900*o**5 = 0. Calculate o.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 282 divided by 1\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 3*o - 4. Let b be 3*(o + (-6)\/9). What is the lowest common multiple of (-9)\/(-1) - (-2 + b) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -783*-0.11\nAnswer: 86.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -375*i**2 - 370*i**2 - 372*i**2 + 1868*i**2 - 374*i**2 - 372*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 9*r. Let m(v) = -44*v. Let j(t) = -6*m(t) - 28*y(t). Give j(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279126.\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6225000 rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*m + 197*m - 72*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 884*h - 1. Let o(w) = 885*w - 2. Let r(u) = -4*b(u) + 3*o(u). Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 5*q - 85, 4*q + 3*w - 144 + 55 = 0. Is ((-5)\/q)\/((-2)\/1448) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 1072?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*q**2*u**4 + 477*q**2*u - 11*q*u**4 wrt u.\nAnswer: -84*q**2*u**2 - 132*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -20.2. Let t = w - -3. Sort -0.4, t, -4 in decreasing order.\nAnswer: t, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 583 + -6415\/11. Let d = r + 15\/22. Factor 0*y - 1\/2 + d*y**2.\nAnswer: (y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 2*r**2 + 6*r**2)*(2 - 5 + 1) - r**2 - 2*r**2 + 2*r**2 + 4*r**2 - 5*r**2 + 3*r**2 + (-r + 1 - 1)*(4 - 4 + r) - 3411 + 3411 + 233*r**2.\nAnswer: 229*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/304982 and -25\/5668?\nAnswer: 7929532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 959.8 - 1150. Let h = t + 190. Is -8 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*r - 29*r = -18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3751773999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 1976 and -4.\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -10*b**2 + 1353*b + 953. Determine v(136).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -41*a**3 - 28*a**2 + 108*a + 22. Let q(g) = -22*g**3 - 15*g**2 + 54*g + 12. What is -8*f(c) + 15*q(c)?\nAnswer: -2*c**3 - c**2 - 54*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 0 + 3*q**2 + 0*q**3 - 1\/40*q**6 + 0*q - 1\/8*q**4 + 0*q**5. What is the second derivative of w(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 70 - -5158?\nAnswer: 51c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 429 - 425. Suppose -3*i = -2*o - 4, c*o + 2 + 2 = 4*i. Put -2, i, 9, -3 in ascending order.\nAnswer: -3, -2, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-0.029.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-109)*(-3)\/(-6). Suppose -n - 28 = -2*d, 12 = -5*n - 8. Suppose 20 = -5*w, 0 = -6*x + 2*x + 4*w + d. Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138 - 262 + 132 + 110*m.\nAnswer: 110*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22527781.\nAnswer: 541, 41641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from ghmhgieegggegh?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f + 7*f = 23*f. Suppose f = 12*x + 21 - 57. Calculate the remainder when (-4)\/10 + 62\/5 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1))**(-10)\/(m*m**(1\/4)*m*m*m\/(m\/m**(3\/8)))*(m**(-1)*m)**25\/(((m**(2\/9)\/m)\/m)\/m*m*m**(-3)*m) assuming m is positive.\nAnswer: m**(731\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 6662811?\nAnswer: -666280a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44086, -43676, -43266, -42856?\nAnswer: -42446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.1 + 5.1. Let j = -384 - -387. Let d be (-273)\/(-105) - 9\/j. Put 1, d, v in decreasing order.\nAnswer: v, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/64 and 50\/9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -409*h + 7. Let p(g) = -825*g + 12. Give 5*i(m) - 3*p(m).\nAnswer: 430*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/4 and ((-476)\/(-4))\/(2*5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 9. Suppose 3 = b*d + 5*s - 99, -d + s = -21. Suppose 3*m = g + 21, 2*m - g = 4*g + 1. Calculate the remainder when d is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -11*w**2 + 27*w - 46. Let u(z) = 4*z**2 - 9*z + 16. What is -6*c(x) - 17*u(x)?\nAnswer: -2*x**2 - 9*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-18)\/3)\/((-32)\/(-46))*-4 and 6\/4*62\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27.9*-881167.\nAnswer: 24584559.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-728))\/(6\/8).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - 307.12?\nAnswer: -306.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of 1082*q**3 - 6 - 1082*q**3 - 7*q**5 + 121*q**2 - 7*q**5 + 5 - 12*q. Differentiate u(s) with respect to s.\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/14*1584\/(-1452))\/((-44)\/(-231)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 590226582 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3200 + 0?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 7*z + 8. Suppose 22 = -3*c + 4. Let h be g(c). Suppose -2 = h*r - 3*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/16)\/(178\/(-8)). Which is the closest to o?  (a) -1\/5  (b) -5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 41 = y, -2*w = -3*y - 0*y - 19. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/240264 and 29\/180198?\nAnswer: 720792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 - -55. Let m be ((-1 - c)\/(-4))\/((-4)\/32). Let l(k) = 27*k**2 - 6*k + 2. What is the tens digit of l(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 2017.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 745998621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/2 + (3 - 6 - -1). Suppose -q*w + 108 = 12. Let w*i**5 + 144*i**2 + 21*i**5 + 80*i + 220*i**4 + 196*i**2 + 500*i**3 + 65*i**4 = 0. What is i?\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11388 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 98*z - 195. Let i be m(-2). Solve -2 = y + n, 3*y - 2 = 4*y - i*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5468, 2, 0, -5, 5, 3 in descending order.\nAnswer: 5, 3, 2, 0, -5, -5468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -237*a**3 - 5682*a**2 - 33984*a + 864.\nAnswer: -3*(a + 12)**2*(79*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13b0c4 (base 13) to base 3.\nAnswer: 220110020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0453689608151 - 4.\nAnswer: -3.9546310391849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7.3 - 4.2. Let l = d + 9. What is l rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 11*a**2 + 10*a. Let j be q(-10). Suppose j = 2*m - m + 5. Suppose 5*n + 21 = 3*h, -2 = -4*n - 3*h - 8. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -3. Suppose -t*y = -0*y. Let i(j) = -j**2 + j - 5. Determine i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1403*j**4 - 3*j**3 + j**2 + 27942 with respect to j.\nAnswer: -5612*j**3 - 9*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of u**3 + 5*u**2\/2 + 4*u - 1. Calculate the remainder when n(-3) is divided by (-6)\/(4 + (-42)\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24284.43 centuries in millennia?\nAnswer: 2428.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s - 2. Let p be (-2 - (-12)\/4)*-14. Let r = 0 + p. Is f(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 28, -5*t + 16 - 12 = -3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 5*r - 1, -4*b + 2*r + 0*r + 6 = 0. Let d be 5\/15*(2 - b). Factor 2\/7*p + d - 2\/7*p**2.\nAnswer: -2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5873 and 194296459.\nAnswer: 5873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 7*t = -28. Suppose -3*c = -o - 2*c + 9, 2*o = -3*c - t. Let f = 9 - o. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 221 - 79 = 17*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 34*d**3 + 7 - 5*d - 68*d**3 - d + 35*d**3 - d**2 + 34. What is the hundreds digit of y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - k**2 + 2. Let b be (12 - (1 - (-81)\/9))*(-2)\/4. What is r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (150\/325)\/((-42)\/78)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 1472 = 5*z - 188, -5*z = -4*s - 1664. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1266 is divided by 68.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from uuuqqquyquuquuyyyy?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2313 + 110203?\nAnswer: 113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136420*x**2 + 11 - 11.\nAnswer: 136420*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15 and -5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -7. Let q be v + (-34)\/9 + 1. Let 2\/9*z**3 - q*z**2 + 0*z + 0 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1373, 7, 4, -3362 in decreasing order.\nAnswer: 1373, 7, 4, -3362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16885 (base 9) to base 2.\nAnswer: 10110110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 8*h + 30 = 0. Put -4, h, 0, -7 in ascending order.\nAnswer: -7, -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (90 - 111) + -6 + -7 + 5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - 5*a - 20, 5*d + 9840*a - 9835*a = -40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25322428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6642 and 77?\nAnswer: 511434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2*q - 5, f = -4*f - q - 16. Let x = f + 3. Suppose 3*s - 2*p - 100 = x, -4*p - 54 = 3*s - 160. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30020212331 (base 4) to base 13.\nAnswer: 874b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a9 + -25a?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2426, -3547, -5426, -8069, -11482, -15671, -20642?\n\"Answer: -v**3 - 373*v**2 + 5*v - 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43\/12 - -229\/12. Let x = -1393 - -22297\/16. Calculate the common denominator of d and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - l - 128 = -17*n, 0 = 5*l for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, m: 4, a: 1, y: 3, e: 2}. Give prob of sequence me.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -766 less than -0.25?\nAnswer: 765.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 4*g - 3. Let v = -11 + 13. Let z be r(v). Let q be (-2 - (z + 1))\/(-2). Solve n - 4 + q = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(6\/5)*s*s*s*s*s*s*s**(3\/13)*s*s*s)**(3\/17) assuming s is positive.\nAnswer: s**(2034\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -9213*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, o: 13}. Give prob of picking 4 b.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 79 = -639. Suppose 2*c + y = 7*c. Suppose -3*o = -7*o + c. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 17*z + 6. Let j be h(4). Let a(o) = -o - 43. Let k be a(0). Let y = k + j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*v - 2*v + 17*v**3 + v**4 + v**2 - 3*v**3 in the form t*v**4 + p*v**3 + l*v + w + i*v**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 1592*c**2 + 1602*c**2 + 1593*c**2 - 4785*c**2. Let d(a) = -1526*a. Give p(d(v)).\nAnswer: 4657352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 6*y + 6. Let n be z(-6). Suppose -2*o = -d + 4 + 6, -56 = -2*d - 5*o. Calculate the greatest common divisor of n and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 401205041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 - -989\/20. Let w = -352\/3 + 267\/2. Find the common denominator of y and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01624241282 rounded to four decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/42200 and -29\/159660.\nAnswer: 336882600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.03  (b) 0.2  (c) -4.5  (d) -0.3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 23. Let o = -35.5554529 + 11.5554444. Let m = b + o. What is m rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/b**(1\/19))\/b))\/b*b*b**(-16)*(b**(14\/3))**(-5))**(-13) assuming b is positive.\nAnswer: b**(28366\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/9  (b) -0.1  (c) -7\/10  (d) -2\/3  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 357176723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1719\/10 + 173. What is the common denominator of l and (-1)\/((-32)\/3 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19028, 38054, 57068, 76064, 95036?\nAnswer: 113978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 155. Let g(l) = l + 6. Give -2*g(x) - u(x).\nAnswer: -2*x - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 548777874?\nAnswer: 2, 3, 19, 4813841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 29 = -4*q, -5*j + 0*q - 4*q + 35 = 0. Suppose -w - 1 = -j. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pxpqxqqppqpp. What is prob of sequence qx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftfttftfcgt. Give prob of picking 1 c and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 - y**3 - 3*y**3 - y**3 - 3*y**3 + 5*y**3 + (-1 - 3*y**2 + 1)*(-2*y + y - y) + 4*y**3 - y**3 - 4*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*a - 423 = -83. Solve 3*y = -7*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21522*v**3 + 36475*v**3 + 8874*v**3.\nAnswer: 66871*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131174 is divided by 5009?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 7. Suppose t - 2 = 0, 2*z - 14 = -3*z + y*t. Calculate the remainder when 10 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.026 - -2.974. What is the closest to 0.2 in 5, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17553197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/2*496\/372. What is the second smallest value in -5\/37, 0, 3\/4, r?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 1471*g - 159. What is the hundreds digit of w(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/3)\/(5 + 80\/(-12)). Factor -6\/5*c**3 - k*c**5 + 0 - 4\/5*c**2 - 4\/5*c**4 - 1\/5*c.\nAnswer: -c*(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 u, and 1 j when four letters picked without replacement from {t: 3, u: 2, p: 3, j: 11}?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/1 - (-6)\/14. Suppose -2*l + 11 = -d, -3*l - 5*d + 12 + 11 = 0. Let p(n) = -6*n + 38. Let m be p(l). What is the closest to 0 in 0, m, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22000110010101 (base 3) to base 6\nAnswer: -231151531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9863.16 + -1.348.\nAnswer: 9861.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*a + 4*n - 6, n - 5 = 0. Suppose 2*j + 10 = a*j. Suppose 3*i = -3*o + 9, 0 = -3*i - j*o + 6 + 2. Solve 7 = i*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -226882 * -213.\nAnswer: 48325866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 3*y - 21, 2*l = -y + 12 - 1. Suppose 3*a - l*a = -180. Suppose 0 = -u - 3*u + a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + b + 7 = 0, -2*s - b = s + 2. Suppose 3*l + 2 + 83 = 4*p, -s = -l. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -7*c. Let a(x) = 11*x. Let p(h) = 100*h. Let i(s) = -5*s - 29. Let l be i(-7). Let t(b) = l*p(b) - 55*a(b). Determine w(t(q)).\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m - 2*m**3 - 4890*m**4 + 3 + 2*m**2 + 4888*m**4 + m to the form j*m**4 + v*m**2 + x + a*m**3 + q*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 0, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**5 + 3*v**4 + 10*v**3 - 6*v**2 - 2*v. Let p(l) = -l**5 - l**3 + l**2. Let q(t) = -3*p(t) - r(t). Find c such that q(c) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 3*q + 40 - q - 16.\nAnswer: q + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 5*v + 9*v - 78 = 0, 2*a + 17*v + 10*v - 129 = 20*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 - 3*l. Let w be u(4). What is the remainder when 102\/(w\/(2 + 0)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -711 = 98*s - 123 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**2 + 652206*o - 35447722203 = 0.\nAnswer: 108701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.389 + -0.267515879?\nAnswer: -35.656515879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 - -70.1. Let c = 3.8 + m. Which is smaller: c or 2\/53?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b - 56*b + 65*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 19*s + 42. Let o(d) = -d**2 + 2*d + 27. Let c be o(8). Let v be a(c). Let u(y) = 290 + v*y - y - 291. Give u(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g + 3. Let s be b(3). Let o(i) = i + 12. Calculate the least common multiple of o(s) and (-9)\/(4 - 1) - -19.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -39*k**3 + k**2 + k. Let a be b(-1). Let h = 41 - a. Suppose -p + 6*p = h*c + 895975, -4*p + 447980 = -c. What is c rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t. Let s(x) = -x - 5. Let j(q) = -8 + 22 - 6 - 11. Let a(w) = -5*j(w) + 3*s(w). What is a(v(l))?\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52*x**3 - 56*x**2 + 620*x + 48.\nAnswer: -4*(x - 3)*(x + 4)*(13*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/70 - (-110627)\/(-890).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10e7 (base 15) to base 16.\nAnswer: -e08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 0 = 30. Let y(a) = a - 7. Calculate y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 1)*(-68*z - 76*z - 17 + 142*z) to the form r + j*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2796*d + 2792*d + 48 = 0. Let a = -15 + 35. What is the lowest common multiple of d and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1339403602 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35.22651 - -23.56414. Let t = 11.67 + p. What is t rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 23) + (8850 - 8711)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*x**3\/9 - 28*x**2\/9 + 28*x\/3 - 4.\nAnswer: -4*(x - 1)*(x + 3)*(5*x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12423?  (a) 2\/5  (b) 456\/7  (c) 5  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 173, 334, 495, 656, 817?\n\"Answer: 161*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-24)*152\/(-57)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*u**4 + 791*u - 143*u + 1 + 357*u + 168*u**5 - 3*u**4 wrt u?\nAnswer: 3360*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b - 4. Let n be j(2). Solve -n = 3*v + h - 0*h, 0 = -v + h - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-13)\/(-4))\/(189\/36 - 5). Let a(x) = x**3 - 12*x**2 + 15*x + 9. What are the prime factors of a(v)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -6*j + 4. Is j less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/(9\/36). Is (102\/24)\/(b\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 AM and 12:50 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -60632 - -109683. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*x - 3880 - 2484 = 82*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 86301632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2810 by 122.\nAnswer: 1405\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -0*p - 9. Let y = -22 + 36. Let c = p + y. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -7*h**2\/2 + 18. Let m(j) = 3*j. Let g(t) = -11*t - 3*t + 16*t. Let p(x) = 5*g(x) - 4*m(x). Give n(p(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**2 - 1533*c - 7623. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -3*i + 1 - 49, 8*i + 5*y + 112 = i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 2*q**2 + 10*q - 2. Let u be (-1)\/(-5) + (-117)\/(-15). Is 21 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92658.21kg to tonnes.\nAnswer: 92.65821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-3 - -1) + 2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.2 - 33.2. Put -0.3, -1, h, 0 in descending order.\nAnswer: 0, -0.3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*a = -3, -121*g + 117*g - 3 = -3*a. Solve g = 4*l - 0*l - 3*j + 18, -5*j = -2*l - 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 14*x**2 + 4*x - 1. Let w(z) = 29*z**2 + 9*z - 22. Determine 7*o(u) - 3*w(u).\nAnswer: 11*u**2 + u + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = l + 3*w, 230*l - 5*w - 23 = 229*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 13*z + 33. Let t(y) = -36*y - 98. Give 11*f(h) + 4*t(h).\nAnswer: -h - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 664517032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**3*r**2 + 170*h**3*r + 2*h**3 - 11*h**2*r**2 + 2*h**2 + 1159*r**2 wrt h?\nAnswer: -12*r**2 + 1020*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 133, -2\/13, 1.02, 2\/17?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x + 6*x - 16 - 22*x + 9*x + 8*x.\nAnswer: 5*x - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 503768726 to the nearest integer?\nAnswer: 22445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1611)\/2148)\/((167\/8 - -2) + -3).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-160)\/3)\/(-4)*3. Suppose -p = -3*p + j. Solve -5 = -z, p = 4*i + i + 4*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27900)\/375)\/(5*72\/(-150)*(-10)\/(-30)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -9*x**5\/140 + x**4\/28 + 3*x**3\/14 - 3*x**2\/14 - 2*x. Find c, given that f(c) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-81)*117)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.027 - 0.261. Let f = 0.088 + q. Which is the third biggest value?  (a) -2  (b) 4\/7  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*c - 14*v + 208, -12998*c + 12993*c - 4*v = -41 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -108.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -904.9 - -694.22. Let n = s + 211. What is n rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -188  (b) -2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-660)\/(-88)*(-2)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 0 - (-1 + 0). Is (11 - 0) + 6\/a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 12.1. Let r = -9 - -7. Let j = 0 - r. Which is the nearest to o?  (a) -2  (b) j  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0.5, -3\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008441 rounded to 7 decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 0.15322457, 3 in increasing order.\nAnswer: 0.15322457, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m**4 + 2349*m**3 + 77832*m**2 - 100389*m + 20196 = 0 for m.\nAnswer: -153, -44, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 0.09, -0.0855, -2, 4, -0.18?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25a0 (base 13) in base 14?\nAnswer: 1d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 10*c - 12*c. Let v(u) = u**3 + u**2 - u + 14. What is the remainder when v(0) is divided by (c - -2)*15\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/198 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50)\/(-925) + 4*(-16321)\/11248?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259889 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1093372 is divided by 7146?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-63568*b + 39261 + 39260 - 29791*b + 14229*b - 78519)*(-2*b + b + 0*b) to w*b + y*b**2 + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31884656?\nAnswer: 2, 17, 117223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/1187 or 1?\nAnswer: 4\/1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 12:10 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3916 - 1391. What are the prime factors of l?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 11. Let p be (-3)\/s*(-16)\/(-894). Let i = p - -139\/745. Put i, 3\/7, -1\/3 in increasing order.\nAnswer: -1\/3, i, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r - 18*r - 2*k + 1812 = 0, -r + 435 = -4*k. What is the highest common factor of 41 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -2\/21, -3\/5, -257.8, 10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2121 and 478317?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -1319008\nAnswer: -1\/1319008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/484 and 2\/33.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238062 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11987668, 11987656, 11987644, 11987632, 11987620?\nAnswer: 11987608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 - 1585*m**2 - 70735*m + 72325.\nAnswer: -5*(m - 1)*(m + 55)*(m + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 2*i - 89. Let c = i - -22. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 73 + 71. 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: Let b = -50 + 42. Let f = 6 + b. Let p be (-4)\/48*-2 + f\/12. Solve -3*s + 4*q + 25 = p, -2*s + 9 = -3*s - 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 2)*(8 - 7 + 8)*(-d**2 - d**2 - 1 + 0) + 3*d**2 - 4*d**2 - d**2 + (1 - 1 - 1)*(33*d**2 - 32*d + 32*d).\nAnswer: -53*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.655 + 0.345. What is the second biggest value in -4, r, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 2:49 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 7.8622\nAnswer: -1.57244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 294314006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 8*r - 59. What is z(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 52\/14 + 14\/49. Let m(h) = 3*h - 3. Let i(l) = -l + 1. Let c(d) = 5*i(d) + 2*m(d). Let q be c(-1). Sort t, q, -8 in decreasing order.\nAnswer: t, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 550771, 5, -3, 3 in increasing order.\nAnswer: -3, 2, 3, 5, 550771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttgttgmyggt?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 8*c**5 + 8*c**4 + 16*c**3 - 8*c**2 - 14*c - 10. Let u(g) = g**5 + g**4 + g**3 - g**2 - g - 1. Let x(n) = -k(n) + 10*u(n). Let x(v) = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/5)\/((-2)\/(-10)). Suppose 0 = 3*b - 0 - s. Solve -b*z + 5*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-114)\/30 - 2\/10. Let g be (-1244)\/6*(0 + (-6)\/j). Let o = 496 - g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.1 and -0.6?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/5)\/u**2)**(-15)\/(u\/(u**(-4\/11)*u)*u*u\/(u\/u**(-7))*u)**(-2\/31) assuming u is positive.\nAnswer: u**(13197\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j**2 + 2*j**2 + 2*j**2)*(j + 4*j - 2*j) - 183*j**3 + 138*j**3 + 80*j**3.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14990.81 - 14931. Let t = -65.7 + i. Let n = 4 + t. What is n rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -86*b*l**4 - 9*b*l**3 + b*l**2 + 66*b - 186*l**4 - l**3 - 3*l**2 + 121 wrt l?\nAnswer: -2064*b*l - 54*b - 4464*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 16, -4*r - 1 = -2*i - 25. Suppose -f - r*x - 6 = -4*f, -f - 9 = -5*x. Calculate the greatest common factor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -248764 - -1?\nAnswer: -248763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(11) + (2*(-1 + sqrt(11)))**2 + 5 + 2 + sqrt(11)).\nAnswer: -12*sqrt(11) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -970*b + 212*b - 890*b - 1081*b.\nAnswer: -2729*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102108*d**3 - 20857*d**3 - 192500*d**3.\nAnswer: -315465*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 7:47 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**2 - 905*z\/2 + 151\/2 = 0 for z.\nAnswer: -151, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 31796b4 (base 13) in base 8?\nAnswer: 71376505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - u = 57 - 40, 3*u - 29 = -4*m. Let t = 38\/5 + -504\/65. Sort m, t, 4, -0.3 in increasing order.\nAnswer: -0.3, t, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0  (b) -0.7  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 4, -5, 0.5 in decreasing order.\nAnswer: 4, 0.5, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-20) - 396\/(-440).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2950 = 5*u, 0*k + 4*u = k - 995. Let b = 1472 - k. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**4 + 335964*i**3 + 671944*i**2 - 1343856*i - 2687744 = 0. What is i?\nAnswer: -2, 2, 167984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/3031739 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-1)\/8)\/((-380)\/160)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 1 = 11. Let g be (1760\/33)\/16 + 8\/(-6). Let b be (82 - (-12)\/(-2 - 1))\/g. What is the highest common factor of b and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 5*v + 0*v)*(-2 + 2 - 2*v**4) + (0*v + v + 4*v)*(-4*v**4 - 3*v**4 + 5*v**4) - v**5 - 280*v**3 + 280*v**3 + 7.\nAnswer: -13*v**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*k**2 + 48*k**2 + 8*k**2 + 38*k**2.\nAnswer: 125*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48552 and 148257?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + 23 + 3 + 0 - -9 - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -11*v**2\/2 + 36*v + 11904. What is m(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**2 + 256*d + 183425 = 0.\nAnswer: -319, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u**5 + 39*u**4\/4 - 267*u**3\/4 + 327*u**2\/4 - 69*u\/4 - 21\/2 = 0. Calculate u.\nAnswer: -7, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from eelbbbbbejebsjbbjee?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 612.29423 - 535.294269. Let c = t - 77. Round c to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q - 20, -5*k - q - 3*q = 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5*a - 5, -3*l + 4*a + 4 = -2*l. Suppose 2*o = 4*n - 6, -2*o + 2*n - 4*n + 6 = l. Solve x - 4 = -o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 6*c**2 - 10*c + 15. Let l = -110 - -117. Calculate r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13112223000 (base 4) in base 6?\nAnswer: -105153200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1841, 3713, 5617, 7553?\n\"Answer: 16*x**2 + 1824*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -349 + 503. Let k = l + -140. Solve 0*j - 4*d = -4*j - 16, 3*j - 5*d + k = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 7 = 40. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x. Let z(y) = -7*y**2. Give z(q(r)).\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 156621 and 5794977?\nAnswer: 5794977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 8. Let i(v) = 37*v - 308. Let y be i(8). Let t(r) = 1. Give y*t(b) - w(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 6*j**2 + 7*j - 2. Let n be d(-7). Is 28 a factor of n + -1 + -11 + 11 + 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 148765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3 - 2, 494 = 3*b - 4*u. Calculate the remainder when b is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -4. Put -4, 4\/9, i in increasing order.\nAnswer: -4, 4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -445 - -444. Let j(f) = -499*f**3 + 4*f**2 - 5*f - 6. List the prime factors of j(z).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 5\/1 + 1. Suppose m + 200 = y*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/22*((-57)\/(-76) - (-188)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -1. Let d be 15\/((-2)\/(-4) - j). Suppose d*k = 5*k + 15. Solve -t - h + k = t, -h - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54469 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 237457148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-72 - -71)*4\/(-3)*-3. Let a(d) = d**2 - 21*d - 67. Give a(p).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -193, 8, -5 in decreasing order.\nAnswer: 8, 2, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 48 - 96)*(13*i**2 - 4*i**2 - 3*i**2).\nAnswer: -870*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 + 328160*c + 1640925.\nAnswer: -5*(c - 65637)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuffu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 - 10)*(11*h - 13*h + 28*h)*(0*h - h - h).\nAnswer: 676*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(0*k - k - 2*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = 306 - 66. Let w = 42 + r. Find the second derivative of w*v**4 - 26*v**4 - 8*v**5 - 14*v + 14*v**4 wrt v.\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*v = 42*v - 15. What is the second smallest value in v, 0.1, 9\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s**2 + 4*s - 11. Let u be r(-4). Suppose 9*x - 2*x = u. Which is the biggest value?  (a) -1  (b) x  (c) 1\/3  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4676 is divided by 467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2*k**2 + 3. Let d(o) = 10*o**2 - 16. Let v(l) = -3*d(l) - 16*w(l). Let y(s) = 3*s. Give v(y(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zddzzpg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/5  (b) 13  (c) -1\/2  (d) -3\/50  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -1036.74?\nAnswer: 2073.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((99056\/(-192))\/(-41))\/32 and -19\/64?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -37, 0.5, 1786?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 11:23 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 63034463 less than 63034458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 23645, -0.38, -5 in descending order.\nAnswer: 23645, -0.38, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31559873077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**3\/6 + 5*p**2\/2 - 7*p. Is d(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0364 - -0.035923. What is j rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1314\/85*(-2)\/(-6). Let d = b + -40\/17. Let c = 0.08 - 0.18. Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5043\/5 and 1009 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 34499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11012200 + 3?\nAnswer: -11012131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 283 = -5*y - 26, 2*y = o - 128. Let l = 90 + y. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(117)*4.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4272353*t. Let x(o) = -o**2. What is h(x(s))?\nAnswer: 4272353*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000012273 to seven dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 95 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 7*w**2 + 6*w + 7. Let b be l(-5). Let d be (-2)\/(-10) + b\/(-45). What is the nearest to -0.02 in d, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 43. Calculate the remainder when 228 is divided by u(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12 - 1c?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**2 - 28*j. Let o(m) = 8*m**2 + 252*m + 4. Let w(d) = o(d) + 9*r(d). Let s(v) = -2*v**2 + 6. Give w(s(c)).\nAnswer: -40*c**4 + 240*c**2 - 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1927039 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of k**7\/2520 + k**6\/360 + k**5\/120 + 7*k**4\/12 - 6*k. Let r(f) be the third derivative of n(f). Factor r(z).\nAnswer: (z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 890 a factor of 5537580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 1. Suppose 0 = -5*s + s + 12. Let t be (-10)\/(-4) - 2\/4. Sort w, s, t in increasing order.\nAnswer: w, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -646545300 divided by -1.\nAnswer: 646545300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 559592?\nAnswer: -1\/139898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, 15, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 4, -6\/11, -12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -13. What is the tens digit of r\/(-15) - 178\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1373072*g*r**2 + 18*g*r + 4*g - 1393304*r**2 + 3*r - 8 wrt g?\nAnswer: -1373072*r**2 + 18*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5\/68 + -91\/612. Suppose -5*t = 10*t - 3510. Suppose -90 = -16*p - t. Which is the smallest value?  (a) -3  (b) 5  (c) p  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 416*o + 412*o + 12036 = 0, 5*o = 3*j - 18087. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*k = 112 - 112. Solve 13*h - 176 + 150 = k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 651, 1119, 1401, 1503, 1431?\n\"Answer: q**3 - 99*q**2 + 758*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -28*w**2. Let b(t) = 5*t**2 + 6*t - 6. Suppose 290 - 296 = 6*q. Let g(m) = m**2 + m - 1. Let v(s) = q*b(s) + 6*g(s). Calculate v(n(r)).\nAnswer: 784*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 1077.\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.12 + 0.10803. Let v = 0.011 + x. Round v to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 831 minus -491.201819?\nAnswer: 1322.201819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 7*j - 4*j + 272, 2*m - 5*j - 539 = 0. Let b = 533 - m. Suppose -v + b = 3*v. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2216.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -316541.22 rounded to the nearest 1000?\nAnswer: -317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5572489.\nAnswer: 13, 193, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5054 is divided by 325.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 53 = t, 197 = 4*t - 6*q + 11*q. Suppose -10*b = -t + 23. Solve 0*m - b*m = 2*h - 10, -4*m + 20 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**2 + 0*n**2 - 5*n**2 - 59*n**3 to w*n**2 + a*n**3 + o*n + c and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*f + j - 4, 2*f + 4 = 5*j. Let y = f - -5. Let k be 1\/(((-6)\/(-4))\/y). Solve 0 = -n - k*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*c + 35*c + g - 9 = 0, 0 = -2*c - 2*c + 44*g + 276 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0125212 to 5 dps.\nAnswer: 0.01252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(2\/(-2))*-1. Suppose 2 + 20 = 11*m. Solve 2*t + g - w + 0 = 0, -t = g - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/4 - 2\/4. Suppose -4*b + 2*j + 2 = -2, z*b = -5*j + 18. Suppose -s + 1177 = 4*s + b*u, 4*s = 2*u + 938. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106132 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 PM and 1:03 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 6:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/(-4) - 4)\/(4\/72). What is the remainder when 48\/(-8)*87\/z is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 3*r**2 + 0*r**2 - 17 + r - 8*r**2 + 0*r**2 as l + p*r**2 + s*r and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 + 7365*x - 73950.\nAnswer: 3*(x - 10)*(x + 2465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 - 35. Suppose 4*z - 20 + c = 0. Let n = 24\/37 - -2\/111. Is n at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 106, 226, 418, 706, 1114, 1666?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 208\/(-65) + 10 - 0\/2?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from pcpdcwwccwdc?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 612 - 323. Suppose -2*y - 5*r = -v, 3*y - 2*r - 443 = -0*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i - 22*i + 11*i + 11*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108374?\nAnswer: 2, 7, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-70)\/(-22) - (-4)\/(-22). Suppose 5*j - 4*m - r = -3*m, 4*j + 4*m = 12. Does j = 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 686480, 686443, 686406, 686369?\nAnswer: 686332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5 - 270*f**4 + 76456*f**3 + 77256*f**2 - 153440*f = 0.\nAnswer: -274, -2, 0, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1442 (base 5) to base 6\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6676345067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3980 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 + -63. Round b to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + 0)*((-2)\/(-1))\/(-8). Is 47 a factor of (-55)\/(-11) + (q - -1 - -559)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 140, 147, 164, 197, 252, 335, 452, 609?\n\"Answer: p**3 - p**2 + 3*p + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.9 + -8.86. Let d be -2 - -6 - (1 + 0). Which is the second smallest value?  (a) d  (b) 0.4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 164 + -51. Suppose 551 = 6*b + f. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*a**2 + 224*a**2 - 86*a**2 - 58*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*(-1835 - 2*u - 2*u - 1376 + 758).\nAnswer: -8*u - 4906","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -790, -780, -770, -760, -750?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -198*c**3 + 6*c**2 - 30*c + 22. Let x(k) = 66*k**3 - 2*k**2 + 10*k - 8. Let h(d) = 4*j(d) + 11*x(d). What is the third derivative of h(w) wrt w?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 27*j + 254. What is the least common multiple of 12 and y(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15\/46 - 81\/460. What is the common denominator of k and 2*(-4)\/((-32)\/142)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 25 = i, -3*l + 4*l = -2*i - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5330 - -261196\/49. Calculate the common denominator of 11\/1302 and h.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 599 + -1199\/2. Which is greater: -0.7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 286 by 48528.\nAnswer: 143\/24264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c - 9. Let y be k(-17). Let m(u) = 4*u**2 - 2*u - 3. Is m(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -67 equal to 29848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -162*f**3 + 4*f**2 - 19*f - 25. Give h(-2).\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 289530 is divided by 36186.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -41570230 (base 8) in base 12?\nAnswer: -2b65874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49822 - 34369. Suppose -4*q - o = -5*w - 7*q, 12363 = 4*w + 3*q. Suppose -w - 710 = -5*u. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 63, 3 in increasing order.\nAnswer: 3, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -86\/7879035 and 71\/16570?\nAnswer: 15758070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38829374.\nAnswer: 2, 239, 81233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k**3 - 9*k**2 - 2*k + 15. Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 847817?\nAnswer: 847817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4*i + 66 = 0, -2*v - i = 4*i - 57. Suppose -k + c + 77 = 0, -3*k + 451 - 156 = 5*c. Calculate the remainder when k is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25327)\/(-1178)*(32\/40)\/((-7)\/5 - -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 15*q + 58. Let f(r) = 4*r**2 - 5*r + 1. Let z(t) = -t**2 + t. Determine q*z(s) - f(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 242, 283, 324, 365, 406, 447?\n\"Answer: 41*o + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 3*a - 5*a + 520, -3*a + 2572 = -5*k. Calculate the remainder when (-4)\/((k\/(-20))\/(-8) + 3) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84255 is divided by 453?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7 + (-247)\/38)*(-11)\/(55\/(-30)). Let g(d) = 72*d - 212. Calculate g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 7:14 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2246674697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, -16, 4, -134.\nAnswer: -134, -16, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g - 2*g**2 + 0*g + (1 - g - 1)*(g + 2*g - g) + 2*g**2 + 3*g - 3*g - g**2 + 3 - 3 + 1415 - 687 - 728 + 29058*g**2.\nAnswer: 29055*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -835*b. Let l(d) = 5*d - 5. Let j(v) = -92*v + 95. Let n(s) = 4*j(s) + 76*l(s). Give w(n(h)).\nAnswer: -10020*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7864 is divided by 3932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 2728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2723*f + 14247 = -15516 - 16528 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220 and 38820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1095180 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 97.6 - 97.5. Sort 2\/3, p, 2\/25 in descending order.\nAnswer: 2\/3, p, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 0*c + 0*c)*(-3*c**3 + 0*c**3 + 2*c**3) + 0*c - 4*c + 2*c - 2*c**4 + 7*c**5.\nAnswer: 8*c**5 - 2*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*d**4 - 306*d**2 - 2654*d - 52126150 wrt d.\nAnswer: -36*d**3 - 612*d - 2654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1200251 (base 6) in base 13?\nAnswer: -22492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12.69 - 12.79. Sort c, 1\/5, -1\/8, -0.4 in descending order.\nAnswer: 1\/5, c, -1\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 25013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-66)\/(-55))\/(6\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5364 + 9420 = 6*t. Suppose 288*b + t = 295*b. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from {c: 14, h: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pnknpnh. What is prob of picking 1 n and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -63 + 64. Which is the closest to 1\/3?  (a) 0.1  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {k: 1, h: 1, z: 7, m: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 7:24 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 392144.3 years to months.\nAnswer: 4705731.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 679087\/28 + -24250. Calculate the common denominator of -71\/18 and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*v**2 + 20*v**2 + 1 + 9*v**3 - 20*v**2 - 12*v**3 in the form w + i*v + c*v**3 + f*v**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1392 + -541. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(17\/(17\/(-18)) + 1). Sort -1, r, 0.5, -0.9 in ascending order.\nAnswer: -1, -0.9, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 50. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 13*w + 7. Let g(k) = 4*k + 2. Let i(m) = -4*b(m) + 14*g(m). Let h(a) = -a. Give h(i(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4601\/7 + -657. Let c(a) = -a**3 - 6*a**2 + 4. Let l be c(-6). Suppose 4*i - 2*f = f, 3*i = -l*f. What is the closest to 1 in h, i, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14136.49583 - -784.\nAnswer: 14920.49583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m + 19*m - 45 + 49)*(-3 - 11 + 3) in the form l*m + q and give l.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 678*j + 4774. Calculate w(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 10:58 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 22*v**2 - 22*v - 25. Let y be m(23). Sort y, -4, 0 in descending order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 12, p: 2, v: 3}?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -1 - ((-2)\/(-1) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, z: 2}. What is prob of picking 1 v and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64673 + 0.2.\nAnswer: -64672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 4*f. What is k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 1101*p - 33. Calculate z(1).\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78, -0.03, 1338 in descending order.\nAnswer: 1338, 78, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -108*i + 105*i + 368. Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ozozoocoz. Give prob of sequence cz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1063, 949, -341, -2807, -6449, -11267?\n\"Answer: -588*h**2 + 1650*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10.4 - -10. Let c = 39\/188 + 2\/47. Sort 5, d, c in ascending order.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 11:07 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13222 + -532?\nAnswer: -14154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 9*c - 864 = 0. Suppose 13*l - 15*l = -c. Calculate the highest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 11*f**2 - 23*f + 6. Let k be w(8). Let s(i) be the third derivative of i**4\/6 - 55*i**3\/6 - 18*i**2. Let q be s(k). Solve -p + q = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2. Let n(y) = -187882*y. Calculate n(c(s)).\nAnswer: 375764*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.2342903 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -103.382659 from 0.2.\nAnswer: 103.582659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/19942 and 31\/338.\nAnswer: 19942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 - 99*g + 184 - 91.\nAnswer: -99*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/(-12) - -2)*(5 - (-512)\/(-80)). Which is the closest to -2?  (a) 0.1  (b) z  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (2 - (9 + -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 12*m**2 + 11*m + 14. Calculate the remainder when 55 is divided by o(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51930 and 62316?\nAnswer: 311580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38.9 + 43.9. Let g be 9\/(-195) + (-1)\/(-5). Which is the third biggest value?  (a) -0.2  (b) g  (c) 4\/7  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29146 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1031314 (base 5) to base 15\nAnswer: -53a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -6*q - 5*b - 2, b = -q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8944612399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -60, -75, -102, -147, -216?\n\"Answer: -x**3 - 8*x - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 79519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 207397 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ididiqd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5795*g**3 - 2895*g**3 - 2897*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g - 147. Calculate h(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -650 + 655. Suppose 44 = -j*w + 54. Let f(m) = -m**2 - 2*m + 3. Let h be f(-3). Solve 6*k - w*k - 20 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 11. Find the first derivative of -7 + 1 + g*w + 1 wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61 divided by -89\nAnswer: 61\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of -1\/12*f**4 + 9*f - 11*f**2 + 0 + 1\/3*f**3. Let j(r) be the first derivative of z(r). Let s(l) = -l. Give -j(t) + 6*s(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.5 - 52. Let f = v + 36. Which is greater: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710.6797ug in grams?\nAnswer: 0.0007106797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*n - 5*v + 28 + 4 = 0, 5*n + 219*v + 2 = 221*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**0)\/(j*j\/j**(2\/17)*j))**(2\/53)\/((j*j\/((j*j\/(j\/j**(-6)*j*j))\/j)*j\/(j**1\/j))\/((j*j*j**1)\/(j\/(j*j**(-2\/13))))) assuming j is positive.\nAnswer: j**(-96338\/11713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 + 9*x - 1. Let b be i(-8). Let y = b - 69. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 5*y - 7. Let q be h(-3). Solve -3 = q*p - 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**10)\/(u*u**(-6\/13)*u*u))**(-47)*(u**(1\/12)\/(u\/(u\/(u*u\/u**(-1\/17)*u)*u)))**(-43) assuming u is positive.\nAnswer: u**(-829403\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 13) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in sixteen fifteenths of a day?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 8*c**2 - 2828487*c. Let r(n) = n. Determine r(x(o)).\nAnswer: 8*o**2 - 2828487*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 - 1 = -2*l, -5*l + 2*s = -11. Let f(m) = 4*m**3 + 2*m**2 - 3*m + 1. Let x = -8 - -13. What is the remainder when x is divided by f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -4*v**2. Let a(y) = -y - 20. What is a(p(h))?\nAnswer: 4*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**3 + c**3 + 257*c**2 - 3*c - 152*c**2 + 3*c**3 + 152*c**2 in the form z + u*c + y*c**2 + p*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 48. Let r = y - 25. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.3 + 3.4. Which is the nearest to f?  (a) 1  (b) 0.2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 55864, 56680, 58054, 59992, 62500?\n\"Answer: t**3 + 273*t**2 - 10*t + 55600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/56 - (-12)\/(-7). Let h be (15\/40)\/(i\/(-8)). Which is the nearest to 0?  (a) 1  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = 5*h - 3*s - 20, 5 = -s. Let j(n) = -10 + 17 - h*n - 4*n. Is j(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 8 = z, 5*a = z + 8515 - 8479 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 50 or 23872?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 10 = g, 0*g + 22 = g + 5*r. What is the third derivative of -4*o**2 + 3*o**2 + 2*o**6 - g*o**6 + o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87 divided by 2233?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 2\/407, 15, 1\/7, -800, 2.\nAnswer: -800, -0.3, 2\/407, 1\/7, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40160*w = -40166*w + 5*p - 40, 0 = 3*w - p + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 8*m + 21. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36393 - -15993. What is n rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + j - 11. Suppose 2*s - 8 = -s - 4*u, 3*s - 4*u + 8 = 0. Let t be f(s). Let q = t + 13. Solve -2*w - 10 = -3*m + q*w, 3*m + 10 = -w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.126 + 49.874. Let q = w + -50.000092. Round q to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 17*j - 2*j. Suppose -14*r - 22 = -j*r. Solve 0*m + 3*c + 6 = 3*m, -r = -3*m + 4*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0327 and -7.\nAnswer: -0.2289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000849641713 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-66) - (7 - (-140)\/(-21)). Which is the nearest to -2\/59?  (a) 0.5  (b) 1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 64167*l**2 - 9*l + 42. Let p be a(6). What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 20 = -5*b, -22*u + 26 = b - 27*u. Let n = 1376\/7 + -197. Let s = 27\/14 + n. Sort -1, 0.3, s, b in descending order.\nAnswer: s, b, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 7:50 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*n - 36 + 36)*(2*n + 10*n - 5*n - n + 4 - 4 + (-n + 1 - 1)*(3 + 1 - 3) - 3 - n + 3 + n - 4*n + n + n - 1 + 1).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2550\/(-12)*(180\/(-75) - (-5 + 3)). Is r greater than 1096\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, d: 12}. Give prob of sequence dd.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 11. Let k = -10.928 + j. Round k to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6110.1200232 - 6112.72. Let b = -2.6 - p. Round b to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9526348, -9526345, -9526342?\n\"Answer: 3*a - 9526351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**3\/3 - 144*f**2 + 306289*f - 918434\/3 = 0.\nAnswer: -1199, 1, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -4) + 9 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220167?\nAnswer: 3, 17, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*b**4 + 2)*(b - b + 3*b) - 2*b**5 + 4*b**5 - 5*b**5.\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -335, 17, 517 in decreasing order.\nAnswer: 517, 17, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5791106439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i + 98 - 20 = 0. Let n = -13 + 5. Let x = 13 + n. Solve -x*k + 8 = i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5 + 2*sqrt(605) + sqrt(605)*-1 + 1.\nAnswer: 6 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -7*g + 8. Let s(u) = -u + 1. Let q(i) = 12*i - 3. Let w(k) = -k. Let b(y) = q(y) + 4*w(y). Let r be b(1). Calculate r*s(c) - d(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + h = -38400, -o + 39*h - 38400 = 42*h. What is o rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -1c4c?\nAnswer: 1c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of -o**5\/120 - o**4\/8 + o**3\/3 + o. Let j(s) be the second derivative of q(s). Differentiate j(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -4*t + 5*h - 26, -5*t + 5*h = 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*x - 51*x - 48. Suppose 16*q + x = 20*q. Solve 0 = f + 4*f + n - 11, n = -q*f + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) -0.06  (b) 5  (c) 0.4  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + 0*g + 2*g - 1 - g + 1 + (0*g + 3*g - g)*(-1 + 6 - 3) + 2*g - 2*g - 2*g + 20*g + 14*g - g)*(5 - 4 + 0) + 7*g + 9*g + 3*g as w + z*g and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: (12*18\/(-12))\/(-10 + 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -2*l**7\/105 - l**5\/60 - 6*l**2. What is the third derivative of r(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/20*-1*-10. Suppose 0 = -4*z - 12, 3*q - 5*q = -j*z + 42. Let m = q - -29. Solve 3*d - m*d = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626672.7 kilograms in micrograms?\nAnswer: 626672700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (36 - 3)*(0 + (0 - -1)). Let r = y - 42. Round r to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**2 - 4*w + 5*w - 204 + 5*w**3 - 3*w**3 + 1437 to the form i*w**3 + l + s*w + v*w**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -128850000 to the nearest one million.\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/1489068 and -149\/2127240?\nAnswer: 14890680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve -1349*g = 14390 + 36872 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 402506 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (-8 + 6 + -3). Suppose -12 = 4*m + 4*q, -5*m = -3*q + 2*q + 3. Let z = 4801 + -4800.9. Which is the nearest to 2?  (a) m  (b) z  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -20542209, -20542210, -20542211, -20542212, -20542213?\n\"Answer: -l - 20542208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 64 = n. Suppose -3*x - n = -4*s - x, -3*s = -2*x - 11. Suppose -5*p = -s*m + 35, -p - 3*m + 1 = p. Put 0, p, -5 in ascending order.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 463529 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35531 - 20351. Calculate the greatest common divisor of 99 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -223202 (base 4) to base 14.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w - 139 = -157. Factor 0*n + 3\/4*n**w - 3\/4.\nAnswer: 3*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 2)*(-2 + (-145)\/(-5)). Is (3282\/(-27))\/((-3)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f + 3*f - 2*f + (3 - 6 + 1)*(-3 + 3 - f) - 2 + 2 + f + 685*f - 657*f - 202*f - 457*f - 628*f.\nAnswer: -1257*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2301 - 2197 = 13*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1846, 3691, 5536?\nAnswer: 7381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/111 and 32\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11347 is divided by 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 26218913 - 6133332?\nAnswer: 20085581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/(-12) - (11109\/276 - 14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/(-38) - -3 - (-1)\/(-8)*-2 and 55\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 403008 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-1)*n)**(-21)*(n\/n**(-3))\/n*n**4*n)**(1\/26))**30 assuming n is positive.\nAnswer: n**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -174 - -190. Suppose 0 = -t*a + 40*a - 15072. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6858 less than 185?\nAnswer: 7043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2 - 10*n + 3. Let t be m(-8). Let w = t + 93. Calculate the greatest common divisor of 32 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 7 = -1. Let j be -3*-2*n\/84. Suppose 3*d - 8 + 5 = 0. Is d not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 668 - -260. Let h = -546 + w. Is h a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0156 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = -49*h + 309, 2*h + 57 = -l - 35 + 112 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/24 and -55\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-12)*-2*(-14)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(9\/7))**(2\/5)\/(y**(5\/9)\/(y\/y**15)) assuming y is positive.\nAnswer: y**(-4423\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -103451 at least -105230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-83)\/(-7) + 0 - (-5)\/35. Let i be ((-16)\/3)\/(1\/(-3)). Does 2 divide (i\/(-32))\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79268540 to the power of 1\/2, to the nearest integer?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 50*b**2 + 9*b + 89. Let k(o) = o**2 - 3*o - 1. Let y(r) = -3*k(r) - w(r). Differentiate y(t) with respect to t.\nAnswer: -106*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 - m. Let v(l) = -2*l + 18. Let q be v(11). Let c(o) = 3*o**2 - 3*o. Calculate q*c(i) + 14*f(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 30 = -14*x. What is the remainder when (-5)\/(x\/2) - -2 is divided by (-2)\/3 + 22\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -7*d**2 - 23*d - 1. Let a(u) = -11*u**2 - 35*u - 2. Calculate 5*a(x) - 8*o(x).\nAnswer: x**2 + 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -15*i**2 + 461*i - 6706. Determine z(16).\nAnswer: -3170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, o: 6, f: 4}. What is prob of sequence ofaf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 6*z**2 - z. Let l = 12 - 13. Calculate the remainder when m(l) is divided by (1365\/(-8))\/(-39) - 3\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -3  (c) -0.92  (d) -2\/13  (e) 2  (f) 0.1  (g) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -102*v + 11*v - 9*v**3 + 57*v + 28*v**3 as m*v**3 + c*v + h*v**2 + f and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 110200 (base 3) to base 14\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*r + 1663 = 0, 3*r + 613 + 1046 = -h. Which is smaller: h or -1646?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 24, -2, 4 in increasing order.\nAnswer: -24, -2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 155928, 157018, 158108, 159198, 160288, 161378?\nAnswer: 162468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, -32, -66, -98, -128, -156?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/264 and -47\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4404 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2702 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -12*i - 92. What is q(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(((k*(k*k\/k**(-2\/7))\/k)\/k)\/k))\/k)**(-1\/3)\/(k**(4\/7)\/k**(-10)) assuming k is positive.\nAnswer: k**(-220\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5214455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8816 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 4*c**2)*(1 - 206*c - 164*c + 554*c - 1).\nAnswer: 736*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(135)\/(sqrt(5) + sqrt(135)\/sqrt(3)))\/(sqrt(99)\/(sqrt(1331)*-1 + sqrt(1331) - sqrt(1331))).\nAnswer: -11*sqrt(3)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 91*g*n**4 - 725*g*n**2 + 8150*n**6 + n**2 - 2*n + 74 wrt n?\nAnswer: 2184*g*n + 978000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1482163 to the power of 1\/2, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(-1 + 1 - -3). Let m = -0.05 - 4.45. Let l = m - -5. Which is the smallest value?  (a) l  (b) z  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -71, 3, 99 in decreasing order.\nAnswer: 99, 3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0247 - 343.9753. Let j = 92 + p. Let c = j - -252.00107. Round c to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*i - 25, q + 5*i = 27. Suppose -v = -q*v. Suppose -4*h + 16 = 4*x, v*x = 3*x + 5*h - 10. Solve p = -0*p - x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, v: 11, n: 1, u: 3}. Give prob of sequence ov.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + 2*c**2 - 5*c + 5. Is 23 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhiihiihiiihh. Give prob of sequence ii.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ehsrssrhhhhshssrs. Give prob of sequence rr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1728050 and 1020.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.583 + -2.383. Which is the smallest value?  (a) -3  (b) 0.064  (c) u  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (8 + (3 - 7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -82 + 292740\/3808.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -15898, -63731, -143468, -255109?\n\"Answer: -15952*z**2 + 23*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-2)*(-123)\/2214*33*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 351414131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 11:38 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 394, 4, -0.3, -2, -0.2, -3.\nAnswer: -3, -2, -0.3, -0.2, 4, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4114 by -25.\nAnswer: 4114\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/732 and -29\/12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, l: 4}. What is prob of sequence ii?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -9 + 23 + 53 - (3 - -1)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**3 - 3*g + 1. Let f be w(-3). Suppose -19*r - 240 = -3*r. Let y = f + r. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/7 in -287, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - 3)*0\/(-1). Suppose 5*q - q = z. Suppose -2*g + 5*l + 15 = 0, -4*g = 2*l - 11 - 31. Solve -5*r - g = q, 2*a - 3*r = -3*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 + -117183177.\nAnswer: -117183168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 915 or 0.256?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**4\/30 - 64*t**3\/15 - 583*t**2\/5 + 6766*t. Find o such that r(o) = 0.\nAnswer: -53, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -133*c + 705725 - 698410 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 5*o**5\/14 - 15*o**4\/14 + 8*o**3\/7 - 4*o**2\/7 - 17*o. Factor u(a).\nAnswer: 2*(a - 1)*(5*a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84.63 + -84. Let t = 0.33 - g. What is the second biggest value in t, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -29084, -58151, -87222, -116297?\n\"Answer: -2*w**2 - 29061*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62)\/(-155)*(-720)\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-6)*27\/585*15*-1\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 438 divided by 202981?\nAnswer: 438\/202981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, -9\/688, -0.1, -2\/5, 1\/20 in ascending order.\nAnswer: -2\/5, -0.1, -9\/688, 1\/20, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -366674*u + 1100001. What is t(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*a = -4*a + 102 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 355*a + 143 = -352*a, -5*a = 40. Let p = 59 - 225. Is s greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68 - 61. Let t = 56 - u. Factor -31*z - 10*z - 22*z - 15*z**2 - t + 49*z**3 - 50*z**3.\nAnswer: -(z + 1)*(z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f*f**(2\/3))\/f))**50*f**7*f*f\/((f*f*f\/(f**0*f)*f)\/f) assuming f is positive.\nAnswer: f**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 10. Suppose -k*j + 16 = -j. Let q(s) = 9*s + 84. Let y be q(-8). Calculate the highest common divisor of j and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 169*f - 41. Let y(z) = 2*z. Let l(r) = -q(r) + y(r). Differentiate l(c) wrt c.\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -456, 1, -9, -1, 0.169?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a - 440*a**2 - 436*a**2 - 20*a + 9*a + 879*a**2 + 10*a.\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 5*m**2 - 118*m - 78. Let b(y) = 2*y**3 + y**2 + y + 8. Calculate the remainder when b(6) is divided by o(25).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*z + 51 = -39 - 210 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of o**5\/60 + o**4\/4 - o**3\/2 - o**2. List the prime factors of j(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 452914739.\nAnswer: 59, 137, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 13 = -5*q, 3*q + 4*p - 32 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10211 - 11?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.15 - 6.15. Let j = 6.3 + u. Let z = -90.6 + 90.3. What is the closest to 5 in 0.1, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + b + 8 = -2*b, 4*b + 18 = 5*i. Suppose 4 = -d, 5*v - 24 = i*d - d. Put 3, 0, v, -3 in decreasing order.\nAnswer: v, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -5, -3*t = 3*q - 7*q + 20. Solve -2*p - p + 3*x + 12 = 0, 2*x + 2 = t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-9))\/((-12)\/(-36)))\/(2\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5372.604s in hours?\nAnswer: 1.49239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (45 + 479*n - 243*n - 237*n)*(0*n**2 + 3*n**2 - 2 - n**2) as l*n + q*n**2 + r*n**3 + v and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 0*v + 15 = v, 3*o + 4*v + 35 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 270\/4*(-5 + 76\/12). Suppose -79*o = -p*o + 44. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4880.4 - 4880. Let q = 5.05 + -5. What is the closest to q in -4\/5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104511054 (base 6) in base 5?\nAnswer: 442003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000386334065 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-16)*g**(1\/8))\/((g*g**25)\/(g\/(g**(-3\/17)\/g))))**32 assuming g is positive.\nAnswer: g**(-3644\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1882 - -3163. Is 40 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 58810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5606\/37?  (a) 2  (b) -0.03  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -87, -275, -625, -1167, -1931, -2947?\n\"Answer: -5*a**3 - 51*a**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7203154 and 189?\nAnswer: 194485158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 5. Let d be m(7). Suppose 4*h - 29 = -2*o - 3, -2*h + 19 = 3*o. Let y(j) = -5 + h - 3*j**d - 3*j. Determine y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**4\/3 + 4*y**3\/3 - 10*y**2\/3 - 28*y\/3 - 5 = 0. What is y?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, s: 2, t: 1}. Give prob of sequence pt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**2 - 4*l - 9 - 6*l**2 - l + 2*l**2. Let j be d(-4). Which is the closest to j?  (a) -4  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 5*f - 13, 4*g - 13 = -2*f - f. Let q(p) = -p**2 + 0*p**2 + 0*p - 3 - 7*p. Calculate the smallest common multiple of q(-6) and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2616 is divided by 2606.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2  (b) 2\/7  (c) -1\/4  (d) 0.5663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*9 - (-96 + (-45632)\/(-400))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 644*c*x**2 - 1208*x**2 wrt c?\nAnswer: 644*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 5*q + 6. Let v be n(8). Suppose 2*r + r - v = 0. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 227 by 1160.\nAnswer: 227\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-12)*-3*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i**2 + 4*i - 3. Let w be j(1). Suppose 5*m + 10 = 0, -2*o - w*m + m + 294 = 0. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -221 + 226. Suppose -2*k = d*l + 3*k - 370, -5*l + k + 352 = 0. Put l, -1, -3 in ascending order.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -457 - -462. Solve -j*l - 25 = 5*h, l + h + 10 = -h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 5:36 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of -2473*u**3\/3 + 3693*u**2\/2 + 4066. Find the second derivative of x(b) wrt b.\nAnswer: -4946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -218 * -5.\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2756 = -211*w - 198 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15820 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4681579*g. Let m(v) = 27*v**2. What is m(f(r))?\nAnswer: 591763912197507*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/35)\/(h*(h\/(h\/h**(-2\/53)))\/h))\/(h*h**(-3)\/h)**(6\/17) assuming h is positive.\nAnswer: h**(36382\/31535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -57 + 58. Which is the closest to r?  (a) -0.3  (b) 0.01  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435429*i - 6552 = -435741*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*-1 - (-8 + -33). Let z = -107\/3 + f. Suppose -4\/3 - z*i - 2*i**2 = 0. What is i?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2662 and -2660 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l. Suppose -5*h + s + 0*s = -11, -4*h + 4*s = -12. Let g(m) = h - 2 - 53*m**2 + 52*m**2. What is x(g(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**12\/(u**(-14)\/u)*u\/(u\/(u*u**(2\/15)))*u**5 assuming u is positive.\nAnswer: u**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 50.6607 and 5.\nAnswer: 55.6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o + 23. Let r be p(4). Suppose 0 = -k - r*k + 80. What is the highest common factor of 100 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 1187 - 484. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -131 - -177. Let i be ((-4)\/(-6))\/(2\/(-96)). Let o = b + i. Solve 6 = -4*l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1430\nAnswer: -3\/1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 46.481.\nAnswer: 46.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 8 - 5*z**2 - 10 - 1 - 1. Let j(s) = 4*s**2 + 3. Give 6*j(g) + 5*p(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + sqrt(13) + -4).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5)\/((h\/(h\/h**(1\/3)))\/h))**(-9)\/((h**(4\/9)*h)\/h**(-1\/4)*h**(-1)*h**(-4\/9)\/h) assuming h is positive.\nAnswer: h**(159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.15696, -2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-30) - (-2 + (-5)\/(-2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n = 5*n - 540. Let o(x) be the first derivative of 4 + n*x + 12*x**2 + 4\/3*x**3. What is r in o(r) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/3?  (a) 0.4  (b) 0.5  (c) -2\/15  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 152 in descending order.\nAnswer: 152, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28762193531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27666578\/165 + 167675. Let f = 15\/11 + g. Let l be 24\/(-9) + (-6)\/(-3). Which is the second smallest value?  (a) l  (b) 0.1  (c) 3  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 8*r - 2. Let y be a(8). Let q = -10 + 3. Let b be q\/(-2) - (-3)\/y. Solve -2*w = b*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-4)\/(-15) + ((-369656)\/(-410))\/(-98)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 d, and 1 c when four letters picked without replacement from bcbcmccfcbbbfcmdbcmm.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 4*c**3 + 5*c - 7. Let i = 44 + -40. Suppose -17 = -i*j - 5. What is the units digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22984*g**4 + 7*g**2 - 366585*g.\nAnswer: 275808*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*s + 228 = -13*s. Let i = s + 173. Calculate the remainder when i is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 30 = -15. Let l(z) = -8*z**3 - 6*z**2 - 5*z + 4. Let j(v) = -7*v**3 - 5*v**2 - 4*v + 3. What is x*l(a) - 6*j(a)?\nAnswer: 2*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 300\/88*(-7590)\/31625.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4201 (base 16) to base 8.\nAnswer: -41001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7d (base 16) in base 4?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/7 - (-256)\/(-28). Let w = -11 - y. Let j(p) = p**2 - 2*p - 3. Determine j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-2\/7)*(i*i\/i**6)\/i)\/((i\/(((i**(-4)*i)\/i)\/i)*i*i)\/i**(1\/4)) assuming i is positive.\nAnswer: i**(-321\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0\/(((m*m*((m\/(m*m\/(m*m**(4\/3))))\/m)\/m*m*m*m)\/m)\/m))\/(m\/m**(-1)*m)**(9\/2) assuming m is positive.\nAnswer: m**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 4650*z**3 - z**2 + 4650*z**3 - 4*z**4 to l*z**4 + g*z + p*z**3 + j*z**2 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 69*f**2 + f + 7. Is r(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**3 - 7*a**4 - a**3 - 6 with respect to a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 34\/12 + 1\/6. Let m(u) = -1 - 2 + 2 - 4 - u**o. Determine m(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20624761?\nAnswer: 20624761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 2:40 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 22 = -3*g, -7*g = -4*g + 12. Suppose -3*p - 2*c - b = 3, -4 = 3*p + c. Suppose 19*u - 14*u - 480 = p. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 6*p. Let w(y) = 3*y + 491. Let n(r) = 13*r + 2190. Let v(j) = 2*n(j) - 9*w(j). Determine v(z(d)).\nAnswer: -6*d - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40482278 or 40482280?\nAnswer: 40482280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-3\/17)\/(d*d**16*d) assuming d is positive.\nAnswer: d**(-309\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of 0 + 29*g**2 - 1\/2*g**3 + 1\/24*g**4 + 0*g. Let j be ((-2)\/4)\/((-1)\/4). Determine o(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 57 - -9 - (-10 + -7 - -10).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(95)*-2)\/(sqrt(5) - (sqrt(10)\/(-1*sqrt(2)) + sqrt(5))) - (-1*(sqrt(95) + (sqrt(95) - sqrt(95)*2)))\/(sqrt(80)\/sqrt(4)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 111\/17, 0.4, 1\/7, 194?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d - 52. Let a(u) = 2*u + 109. Let f(m) = -6*a(m) - 13*y(m). What is f(12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14.32 + -14.72. What is the biggest value in -1, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30*x**6 - 13421*x**4 - 2*x**3 + 59894749*x**2.\nAnswer: 3600*x**3 - 322104*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 339823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 1\/5, -0.5, 68, -3 in descending order.\nAnswer: 68, 1\/5, -0.03, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 6:07 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4 = -o, -3*t + 0*t = 3*o - 6. Let k = -28 - -32. Solve -4*f = -o*f + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136043 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 1 - 17) + (30 + -65 + 12 - -26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvavrotioavar. Give prob of picking 1 o and 1 t.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 244, 248, 254, 262, 272?\n\"Answer: a**2 + a + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 843040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of h**2*l**2 - h**2*l - 5091*h**2 - 934*h*l**2 + 7*l**2 wrt h.\nAnswer: 2*l**2 - 2*l - 10182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -33*g**2 + 30*g**2 - 3*g**3 - 3*g - 5*g**3. Let n(f) = 95*f**3 + 35*f**2 + 35*f. What is 35*b(s) + 3*n(s)?\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 64*h - 710. Give r(50).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pabgawpq. What is prob of picking 1 q, 1 p, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3620 and 5.9.\nAnswer: -3614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 2\/7, -3, 1\/2, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/((-39)\/12 + 3). Let u(q) = -10*q + 8. Let i be u(t). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0053, 0, -0.1, 49 in descending order.\nAnswer: 49, 0, -0.0053, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**2 + 6*x - 25. Let p(f) = f**2 - 4*f + 17. Determine -8*p(b) - 5*s(b).\nAnswer: 2*b**2 + 2*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39.34 * 55210.\nAnswer: 2171961.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 77*v**2 - 163*v - 1092. Calculate f(-75).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3c + 27a?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 14*m - 17. Suppose 50 = -33*z - 18*z - 562. Determine u(z).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 (base 10) in base 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119\/7*(-5*2)\/((-64)\/192*-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -114204 divided by -5\nAnswer: 114204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 80831162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1810839 - -255?\nAnswer: 253.8189161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -34*s + 372. What is q(-11)?\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4864*p + 6804*p - 2 - 5841*p to h*p + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 8\/35, -34, 3, 0.2, 5, 0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, 2, 8, 23 in increasing order.\nAnswer: 2, 8, 23, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 3. Let y be o(0). Let f be -10*4\/(-8) - y. Suppose 0 = -5*x - 0*n + 2*n + 107, -2*x = -f*n - 44. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 830 - 828. What is the fourth smallest value in -0.2, t, 0.087, -2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2068*s**4 - 4 + s - 1778*s**4 + 1080*s**4 as p*s**3 + t + m*s + j*s**4 + c*s**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 172 + -148. Let p be 18\/(6\/132*11). What is the highest common divisor of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9)*a*a*a**(-6))\/(a**(1\/8)*a**(-2\/7)) assuming a is positive.\nAnswer: a**(-719\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*u**2 - 20*u**2 - 45*u**2.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 81804237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of t**7\/21 + 31*t**6\/60 + 7*t**5\/5 - 2*t**4\/3 - 150*t. Factor s(k).\nAnswer: k**2*(k + 4)**2*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 1 + (-12 - 4 - 1)*(0 + 3 - 2) + 1 + 1 - 3)*(36*y**3 - 13*y**3 + 10*y**3) to the form p*y**2 + v*y**3 + w*y + i and give v.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**5\/2 - 2*y**4 + y**3\/2.\nAnswer: y**3*(y - 1)*(3*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 116*((-2)\/(-1))\/(304\/76)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1126460528 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 161 and 18402852.\nAnswer: 128819964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1125 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + -1*(sqrt(720) - (sqrt(720) - (3 + sqrt(720)))))*-5)**2 + sqrt(720)*2 + -2 + ((sqrt(720) + 2)*5)**2 + 3.\nAnswer: 1224*sqrt(5) + 18326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 4, h: 1, j: 1, b: 9, x: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 237, 233, 225, 213, 197?\n\"Answer: -2*b**2 + 2*b + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2538 + 571 + 192 + 862)*(4*q + 2*q**2 - 4*q) to the form f*q + w*q**2 + i and give w.\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.4 take away 314?\nAnswer: -345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(36) + sqrt(36))\/sqrt(12) - sqrt(3))*1 + ((sqrt(90)\/sqrt(24))\/sqrt(5))**2.\nAnswer: 3\/4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6432545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 45\/6*60\/9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 times -11.89\nAnswer: -190.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*h**3 + 23*h**3 - 15*h**3 + 118*h**3.\nAnswer: 182*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115*r - 59*r - 192*r)*(5*r - 2*r - r) + 7 - 2*r - 7 - 2*r**2.\nAnswer: -734*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 21*g - 180.\nAnswer: 3*(g - 12)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((2 + sqrt(72))*6)**2 + 4 + -4).\nAnswer: 2592*sqrt(2) + 8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 3. Let s be -4*(a + 31\/(-4)). Let o(z) = z**3 - 8*z**2 + 7*z + 5. Let r be o(7). Calculate the highest common divisor of s and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4775.7381318864 - -0.5?\nAnswer: 4776.2381318864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 500854*f**2 + 465918 wrt f?\nAnswer: 1001708*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34875 by -1.\nAnswer: 34875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 y when four letters picked without replacement from uyyyuyyuyyyyyuyyyyyy?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 25*d**3 + 11*d**2 - 5*d - 8. Let m be w(-10). Let o = m + 3938. What is o rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*q, 6*d - 2*d = 2*q + 96. Let f = d - 16. What is the remainder when 20 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3723 + 9463. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**3 - 9*f**2 + 2*f. Calculate the remainder when b(-6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4, -4, 153 in decreasing order.\nAnswer: 153, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*d - 3447351 - 3447313 + 6894664.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 883332 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 295 = -15*i + 5*f, -i - 13 = -93*f + 94*f for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -464 + 35?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1058569612 to the nearest integer?\nAnswer: 32536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1682?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - 32a9?\nAnswer: -32a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + x = -3*x - 420, 0 = -w + 2*x + 142. Is 138 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -9*h + 101. Let g be l(9). Suppose k + g = -4*k, 5*k + 20 = -5*v. Solve 4*x + 5 = -5*y + 22, v = 2*y - 2*x + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 211728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 238 - 78. Calculate the smallest common multiple of g and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1040*d**4 + 7*d**2 - 2220*d + 7. Let l(t) = 1041*t**4 + 8*t**2 - 2219*t + 8. Let f(x) = 7*l(x) - 8*r(x). What is the second derivative of f(o) wrt o?\nAnswer: -12396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 7*r - 204. Sort -1, r, 5.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-107*352\/131824)\/(((-10)\/(-87))\/(14\/3))?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 0 = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 6:09 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*r = 13*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39.66 + 39. Let v = 0.6600135 + p. What is v rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q + 2. Let m be w(2). Let o be (-32)\/(-14) - 2\/7. Let p(r) = r**3 - 4*r**2 + 4*r - 3. Let n be p(3). Sort m, o, n.\nAnswer: n, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k - 2212817 + 146332599 = -54762218. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 14*d**3 + 4*d**2 - 5*d. Let f be y(2). Suppose 4*z - 184 = -3*r, 5*r + f = 2*z - 0*z. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -16  (b) -5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000013244558 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 565*w**2 - 232766*w - 5766. Calculate h(412).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(-10)*(-14 + 2 + 0). Calculate the remainder when 23 is divided by 54\/z + (-2)\/4*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -405, -332, -259, -186?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 1763.\nAnswer: -3\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 150369 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/6230 and 63\/340.\nAnswer: 211820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k*((k*k**(-2\/5))\/k)\/k)\/k)**(-38\/5))**(-3\/13) assuming k is positive.\nAnswer: k**(342\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3\/2 - 3813*f**2\/2 + 1595841*f\/2 - 220442079\/2.\nAnswer: 3*(f - 517)*(f - 377)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16275, -24786, -33287, -41772, -50235, -58670, -67071?\n\"Answer: i**3 - i**2 - 8515*i - 7760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3  (b) 5  (c) -545  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 53?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4074 is divided by 506.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5480 and 32894248.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-68)\/32 - -2). Let m(w) = -w**3 - 9*w**2 - 10*w - 2. List the prime factors of m(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3554*u + 202. Is 22 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14287102 and 10?\nAnswer: 71435510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 246537041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8655*r = -106648 - 204932 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - 5*c**2 + 8*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10080000 rounded to the nearest 100000?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 0*w = -4. Let u(s) be the second derivative of 0 + 4*s**w - 2*s + 1\/6*s**3. Calculate u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214186979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.26 + 0.06. Let h = 70.2 - 70. What is the nearest to d in -1\/4, 2, -2\/21, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*a - 2*a + 2*a)*(-1 + 3 + 0 + (5 + 10 - 13)*(-20 + 8 + 1))*(2*a - 2*a + 2*a) as i + f*a + v*a**2 and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 5480197?\nAnswer: 27400985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -11505 and -6997960770.\nAnswer: -6997972275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjj. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9940*n**3*o - 75*n**3 + 20*n - 115329*o wrt n?\nAnswer: -59640*n*o - 450*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 4:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + 2015*a**2 - 214975*a + 5548. What is h(113)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(1260)*-1*-5)\/(1*(sqrt(35)\/(sqrt(15)\/sqrt(3)) + (sqrt(700)*-2 - sqrt(7)))))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*c**3*k**2 - 253849*c**3*k - 6*c**2*k**2 - 206733*c**2 - 3*k**2 wrt c?\nAnswer: 42*k**2 - 1523094*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1204 and 41622?\nAnswer: 3579492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79.3 + -25.09. Let k = i + -8.91. Let w = k - 45. Which is the nearest to -1\/3?  (a) w  (b) 0.2  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 125*((-9)\/(-60))\/(1242\/(-3312))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-20) + (-2)\/((-80)\/(-4)). Put n, 12, -0.17, 0.4, -2 in increasing order.\nAnswer: -2, -0.17, n, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w + 3*w - 4*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 11:31 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66818111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -9*g**3 + 2*g - 1. Let y(l) = l - 1. Let v be y(2). Give t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a - a + 0*a)*(-3 - 3 + 4) + 2*a - 5 + 5 - 2 - 902*a + 1824*a - 898*a as c*a + v and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 84887, 84897, 84907, 84917?\n\"Answer: 10*k + 84877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**2 + 38*m - 36 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - a + 1. Let g(k) = -2*k**3 + k**2 + 2*k - 1. Let d(v) = 4*v**3 - v**2 - 5*v + 4. Let q(o) = d(o) + g(o). Calculate -5*n(p) + 2*q(p).\nAnswer: -p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3624.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 320049492*i**2*s - 1182*i*s + 2*i - 32*s + 93 wrt i?\nAnswer: 640098984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of i**6\/30 - i**5\/60 + i**3\/6 - 4*i**2 - 6. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*i = 1. Let n be 303\/12 - i\/4. Suppose n = p - 5. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 288, -384, 4, 301 in descending order.\nAnswer: 301, 288, 4, 3, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.466 + -0.034. Let t = z + 2.1. Is t > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 0.087574.\nAnswer: 0.287574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -115530646 + -41?\nAnswer: -115530707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(((-126)\/35)\/9). What are the prime factors of (-80)\/(a*(-14)\/(-455))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1112332201 (base 4) to base 6.\nAnswer: 11345201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 60\/(-25) + -1 - 4\/(-10). Let f be 2*2\/d*(-27)\/90. What is the nearest to f in -5\/2, -5, -6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 + 6. Let f be (-5)\/(-2)*j\/(-20). Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*d + 2 - 2)*(6*d - 4*d - d) + 8017 - 4011 - 5*d + 7*d**2 - 4012)*(d**2 - 2*d**2 + 2*d**2).\nAnswer: 4*d**4 - 5*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5177\/5 + -12371\/15. Is v less than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3*(-5)\/(-10))\/(-2 - 1). Let g(q) be the second derivative of -2*q + 4\/3*q**3 + d*q**4 + 0*q**2 + 0. What is the second derivative of g(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 178*d - 1 - 130*d - 4 in the form y*d + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1117 + 0*y - 7*y**3 - 6314 + 0*y.\nAnswer: -7*y**3 - 5197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -6. What is the nearest to 2 in 0.2, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 49 + a + 23.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f + 9. Let m be z(0). Suppose 0 = 8*g - 12*g + 4*y + 1144, 2*g + y = 572. Let t = g + -265. Solve -3*r = -m + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*v - 42 = -2*n, 3*n - 2*v - 55 = 0. Find the first derivative of -37 - 2 - 14 + n + 41*h wrt h.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -u + 2*d, 2*u + 3*u - 13 = -3*d. Solve -21 + 6 = o + u*c, -c = -3*o - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 380*a**4 - 35*a**5 - 380*a**4 + (-a + 0*a + 3*a)*(-a**4 - 3*a**4 + 6*a**4) + 9*a**5 + 122*a**4 - 122*a**4.\nAnswer: -22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 o when four letters picked without replacement from zzozzsozzsssz?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4706, 16882, 37158, 65540, 102034, 146646, 199382, 260248?\nAnswer: 329250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 25, -555, 0.1, 5, 12\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*((sqrt(637) - (sqrt(637)*3 + 1))**2 - (sqrt(637) - -3*(-2*sqrt(637) - sqrt(637)))**2).\nAnswer: -252*sqrt(13) + 343971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 79, 636, 2165, 5152, 10083?\n\"Answer: 81*m**3 - 10*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 + 24*w + 2. Let n be l(-8). Suppose n*a - 686 = 4*v, 5*a + 0*v = -3*v + 1741. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most as big as -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - f + 18 = 0, b + 2*b - 2*f - 9 = 0. Let d = 7094 - 7098. Let g = 7\/17 + 13\/51. What is the nearest to g in b, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7.9, 16, 0.2, -2\/7 in increasing order.\nAnswer: -7.9, -2\/7, 0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10120 (base 3) to base 15.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 - (5 + (16 - 19))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 828139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 3*c**2 - 2*c + 2. Let w be k(2). Let r be 30\/(-4)*(-16)\/w. Calculate the highest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 53\/14 + (-2)\/7. Let l(b) = -b**3 + 17*b**2 + 18*b + 2. Let o be l(18). Solve -1\/2*z**3 - p*z - 3\/2 - 5\/2*z**o = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of 5305*m**8\/336 - 1147*m**4\/8 - 311*m**2. Find the second derivative of q(z) wrt z.\nAnswer: 106100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1753966 is divided by 3924.\nAnswer: 3862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-2\/11)*k**(-1))\/(k**(-5)*k**(-1))*(k**6*k**3\/k*k)\/(k**(1\/9)*(k**(-3)\/k)\/k) assuming k is positive.\nAnswer: k**(1951\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 2:05 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 101 by -3996674.\nAnswer: -101\/3996674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 32*j. Let l(r) = 11*r. What is -6*d(u) + 17*l(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12018 + -20051. Let y = -4044 - l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + z + 4 - 5 = 0, 4*q + 10 = -3*z. Is 6 a factor of (16\/(-12))\/(q\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of m**4\/4 - m**3 - 4*m + 1. Let l = 1110 + -1106. What are the prime factors of x(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 557*t**2 + 699*t**2 + 112 + 120 - 232. Let w(h) = h**2. What is q(w(a))?\nAnswer: 1256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9498 + 9502. Let w = 5.02 - 0.02. Which is the nearest to 0.2?  (a) -5  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12008 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4762*c. Let l(r) = 5861*r + 2. What is l(b(f))?\nAnswer: 27910082*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 169 - 219. Let r = g + 62. Calculate the highest common divisor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1660341?\nAnswer: 3, 553447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -288, 0.2, 0.5, 2\/293?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 + 2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d**3 + 3599*d - 3497*d - d**3 to n*d + l + s*d**3 + m*d**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**5 + 4 - 4)*(4 + 2 - 2) - 104*g**3 - 2*g**5 + 104*g**3 + 6*g - 15*g**2 - 5*g + g**5 + 10*g**2.\nAnswer: -5*g**5 - 5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*v + 25 = 0. Put 0, 5, v in increasing order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1181417143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5\/15)\/((-2)\/(-60)). What is the second derivative of -2*a**3 + a - d*a**2 + 20*a**2 - 10*a**2 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1280) - (1*sqrt(1280) + sqrt(1280)))\/(sqrt(4) - (sqrt(4) + -2*sqrt(144))) + ((sqrt(245)*-2 + -3)**2 - sqrt(245))*1.\nAnswer: 229*sqrt(5)\/3 + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 357458 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/340 and -91\/204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 807*i**3 + 6*i**2 + 168*i - 856. Is s(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((2*sqrt(45))**2 + sqrt(35)\/sqrt(7) + 4 - -1*((sqrt(490)*4 - sqrt(490))\/sqrt(2))**2).\nAnswer: 5*sqrt(5) + 11945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*c**3*p**3*t + 4*c**3*p*t + 20*c**3 - 28*c**2*p**2 - c**2 + 3*c*p**3*t - 2*c*p**2 - p*t wrt c?\nAnswer: -216*p**3*t + 24*p*t + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 23. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(5)*1 + sqrt(20)*-1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 169*m**8\/840 - 247*m**7\/175 - 2111*m**6\/150 - 2536*m**5\/75 - 168*m**4\/5 - 256*m**3\/15 - 2323*m**2. Let x(w) = 0. What is w?\nAnswer: -2, -1, -4\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p - 17 + 2 + 3 + 12.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.5, -29, 9, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 2:08 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17900329 is divided by 3962?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1063 + -10113b?\nAnswer: -1021a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (30 - 2214\/72)*112\/6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l + 32 + 2*l**2 + 0*l + 0*l + 4*l - 15*l. Let x be n(8). Solve -3*b + x - 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 133*b**2 - 41*b**2 + 14*b**6 + 129*b**2 + 1639*b**4 - 1646*b**4 wrt b.\nAnswer: 1680*b**3 - 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -345 - -350. Solve i = -0*i - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 3, 17, 0.2, 0.6, -15 in ascending order.\nAnswer: -15, -0.5, 0.2, 0.6, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1278)\/(-30) - (-2)\/5. Suppose -j = 5*h - 6*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 5*l - 6. Let i be 6\/(-9)*30\/(-4). Let u be a(i). Does 4 divide (-6)\/(((-9)\/u)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/3, -2, -2\/13, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(2)*-1*-2)**2 + (3 + sqrt(32))*6.\nAnswer: 24*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 159338449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -7969  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39 - -39. Let n(w) be the third derivative of 1\/150*w**5 + 0*w**3 - 1\/525*w**7 - 1\/30*w**4 - w**2 + 0 + 1\/150*w**6 + g*w. Factor n(o).\nAnswer: -2*o*(o - 2)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*d - 3. Suppose 3*q + 5*o - 5 = 88, q - d*o = 31. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14.5 + 2. Let y = 16.172784887 - -0.327224413. Let u = y - v. What is u rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**2\/2 + 51*s\/2 + 49 = 0. What is s?\nAnswer: -49, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**3 - 132*c**2 - 267*c - 134 = 0 for c.\nAnswer: -1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 172 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*z - 13*z - 69*z)*(7 - 26*z + 40*z - 16*z) in the form u*z + a + l*z**2 and give l.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 228572593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 9) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 s when three letters picked without replacement from {d: 1, b: 4, m: 1, s: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 8049*x**3 - 14*x**2 + 35*x - 7. Is g(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 5:24 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 3836 divide 163183440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 11380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121153 + 35087 = -12*a. Let p = 4 - 29. Is (-2)\/(-10) + a\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23606\/3 - 7869. What is the closest to o in -7, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2 - 8*t. Let h(x) = 9*x**2 - 23*x. Suppose -3*s = -2*s - 3*b + 8, 2*s - b - 4 = 0. What is s*h(o) - 11*n(o)?\nAnswer: 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -2\/3, 0.06, -3\/2, -475 in increasing order.\nAnswer: -475, -3\/2, -2\/3, -0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (630\/28)\/(17\/(2652\/5655))?\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 20*a + 86. Calculate the remainder when s(-5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/52 + (-1390)\/8*-1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -954449 times 0.3\nAnswer: -286334.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*1311.\nAnswer: 10488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7  (b) 2  (c) 4\/7  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26846 + -19601. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*g - 7*g. Suppose 18*b - 42*b + 81 = -183. Calculate the lowest common multiple of b and (-6)\/4*(g + 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 3*q**2 + 3*q. Let f(z) = z**2 - 3*z + 2. Let g be f(3). Let t be r(g). Suppose t*c - 33 = -c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 2:02 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11*s**2 - 349*s - 348. Let c(b) = -100*b**2 + 3140*b + 3130. Let w(k) = -6*c(k) - 55*y(k). Factor w(q).\nAnswer: -5*(q - 72)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 40 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 2*p + 2. Let b be z(-2). Suppose -3*v + 40 = -r, 4*v = -r + b*r + 55. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 5 + 5*t)*(1 + 0 - 2) + 43*t - 8*t - 118*t + 2 - 2 - t + (2*t - 2*t - 2*t)*(-2 + 4 - 1) + 3*t + 4*t - 6*t to k + a*t and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q + 1401 - 1640 + 8*q**2 - q - 45*q**2 wrt q?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 367245?\nAnswer: 3, 5, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 + (-4 + 6 - 3). Solve -n*c = 7 - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 7*y**6\/15 + 5*y**2\/2 + 10*y + 3. Let i(x) be the first derivative of j(x). What is the derivative of i(w) wrt w?\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 5*i**3)*(-78 - 6 - 40)*(-3*i - 4*i + 5*i).\nAnswer: -1240*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*a + 129980, 2*x - 4*x - 5*a = -130025. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34052021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -369 - 1651 + 318 - 1898*b with respect to b.\nAnswer: -1898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1047, -1043, -1039, -1035, -1031?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 326\/(-22) - (-16)\/(-88). Let m be (-25)\/l*6\/2. Is m at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1745 divided by 1777.\nAnswer: -1745\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03612 + 0.0489. Round s to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3871*y**6 + 8*y**2 + 82*y + 2 wrt y.\nAnswer: 464520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1\/5  (b) 54  (c) 3  (d) -3  (e) 4  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-26)\/(-4) - (-4167)\/(-926). Let p(s) be the first derivative of 4\/5*s + 0*s**x - 1 - 1\/15*s**3. Factor p(m).\nAnswer: -(m - 2)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6753000 to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 32573063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 23*v + 26. Let i be q(22). Let r = i - -121. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -x + 2, c = 4*x - 5*x - 2. Let r(s) be the first derivative of 0*s**2 - 2*s - 1\/4*s**4 + c + 2\/3*s**3. Determine r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10182*j**3 - 5*j + 9891*j**3 - 4*j.\nAnswer: -291*j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006701 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - 5*4\/(-14). Let u be 0 - (-2 - (17 + 1)). Suppose 6*l - 11*l = -u. Put o, l, -2\/11 in decreasing order.\nAnswer: l, o, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 424522728 divided by -47169192.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 9:39 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 14*x**2 - 16*x - 12. Let r be a(-13). Let v = 58 - r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 4*a**2 - 6*a + 6. Let q be z(5). Let x(o) = -q - 2 - 10 + 5*o. Is x(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/8?  (a) -5  (b) -3  (c) 5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001000000001 (base 2) in base 15?\nAnswer: -1574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1080*w + 664*w + 731*w)*(-2 - 2 + 2).\nAnswer: -4950*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 23*m + 19. Suppose -3*u + 44 = 4*x + 1, -x = -2*u - 8. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 9) + 5 + 2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4\/3  (b) 216  (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {t: 2, m: 4, z: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 42. Which is the closest to 0?  (a) g  (b) 0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -5, 0, -48, -315, -3, 1 in increasing order.\nAnswer: -315, -48, -5, -3, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 504 and 1656?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78741 = -5*l + 2*i, 137*i - 132*i + 15 = 0. Calculate the highest common factor of l and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12\/7, 0.2, 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10438896 is divided by 2609640.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, -0.3, -5\/9, 0, 1 in increasing order.\nAnswer: -5\/9, -0.3, 0, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + -1*sqrt(11) + -2)**2 + 5 - (5*-6*sqrt(539))**2)*-1.\nAnswer: 485091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 + 15*h**2 + 91 + 14*h**2 - 16*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 76747 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*r + 2033 = -27*r - 5*p, -4*r + 5*p + 4091 = 0. What is the greatest common factor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g = -283 - 107. What is the remainder when 148 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -120253 at most -120253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1450, -3803, -6176, -8569, -10982, -13415, -15868?\nAnswer: -18341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/30 + 2\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.382 and -18.\nAnswer: 6.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, s: 3, g: 5, q: 1, w: 7}. Give prob of picking 1 f, 1 g, and 1 s.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 0 - 78668*x - 2.\nAnswer: -78668*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.142, 52, 7 in increasing order.\nAnswer: -2, 0.142, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1167643 is divided by 5280.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -154*o + 152*o + 28. Solve -3*z - 2 = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1562 and 3124?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in 5, 1\/8, 45824, 1, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 - 7. Let p = 33 - x. Is p*(-2 + -1)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5367139, 5367152, 5367181, 5367232, 5367311, 5367424?\n\"Answer: k**3 + 2*k**2 + 5367136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 PM and 11:05 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m - 117 = 51. Solve 4*a + 0 = -m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 + 497. Let k = 478.5 - x. Which is the nearest to 2\/7?  (a) k  (b) -6  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 305.7191 grams?\nAnswer: 305719100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5 - 3 - 2 - 13*m**2. Let c(b) be the third derivative of -b**5\/60 + 3*b**2. Give r(c(s)).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**0)**40\/(o**(2\/13)\/(o*(o*o*o**(-3\/7)*o)\/o*o))*((o\/(o**(-2\/5)*o*o))\/o**(-1\/4))\/(o**6*o*o**(-8\/3)) assuming o is positive.\nAnswer: o**(211489\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4821528 by -1607176.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 0.062, -2, -2\/5, 5, 1 in ascending order.\nAnswer: -2, -2\/5, 0.062, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) 6  (c) -2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 199 + 8 + -232 - (-4 - -1 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*sqrt(832) + (sqrt(52) - sqrt(260)\/sqrt(5))*-2).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 19256216?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y**(-6\/13)*y*y**(8\/5))\/(y\/(y*y**(-2\/15)*y*y)*y**(1\/5)))**(8\/9) assuming y is positive.\nAnswer: y**(9056\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 333*b + 24532. Calculate w(-76).\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2362*x + 4723*x - 2358*x. Let b(j) = 72*j. Let c(g) = -29*g. Let m(z) = 5*b(z) + 12*c(z). Give v(m(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 550091533.\nAnswer: 550091533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6771948509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85306481.\nAnswer: 13, 6562037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*a + 152 = -4*a + 458 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w + 8*w + 7 - 4*w - 2*w. Let u be t(-6). What is the first derivative of 2 - 3 + u - 4*j - 3 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127873.\nAnswer: 127873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 3727898.\nAnswer: 59646368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -852, 0.4, -3, 4, 1 in decreasing order.\nAnswer: 69, 4, 1, 0.4, -3, -852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from akaajka. What is prob of sequence kjk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -162*o**3\/11 + 1750014*o**2\/11 - 4716516086*o\/11 - 4735785842 = 0. What is o?\nAnswer: -11, 48661\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -16*b**2. Let a(n) = -5*n + 141 + 147 - 288. Determine d(a(o)).\nAnswer: -400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*i**2 - 97*i**2 + 40*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 203*d + 180. Let r be 7 - 10\/2 - 6. Let f(y) = -610*y - 537. Let u(a) = r*f(a) - 11*k(a). Differentiate u(w) with respect to w.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 10*k**2 + 9*k + 13. Let y be w(11). Let d = y - -29. What is the tens digit of (-2)\/(d\/75)*12\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - w = -2 + 21, 3*q = -4*w + 16. Let k(l) = q + 83*l + 292*l - 53*l. Let u be k(-12). What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5907  (b) 4\/3  (c) 0.3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -548, -2326, -5290, -9440, -14776, -21298?\n\"Answer: -593*v**2 + v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 385, 772, 1159, 1546, 1933?\n\"Answer: 387*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(6*(-1)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 2*q + 2. Let j be w(-6). Let c(d) = 3*d - 20. Let a be c(23). Let x = a - j. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*u + 15*u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71790098?\nAnswer: 2, 41, 67, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5274 - -7392. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 924955129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - g + 5. Let h be c(0). Suppose -3*w = 2*w - 10. What is the remainder when 33 is divided by w*1 + 75\/h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/2 - 205*v\/2 + 693.\nAnswer: (v - 198)*(v - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -6168*j. Let o(z) = -z**2. Determine f(o(n)).\nAnswer: 6168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 83184*n**2 + 3. Let y be d(-3). Let r = y - 108659. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2364736*h**3 + 5930299*h + 2?\nAnswer: -14188416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 251, 489, 697, 863, 975, 1021?\n\"Answer: -2*i**3 - 3*i**2 + 261*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5 = -11. Let f(a) = m + 2 - 5 + 2*a. What is f(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -12*y - 6. Let f be s(-5). Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55)\/(sqrt(20)\/sqrt(4) + sqrt(5)) - (sqrt(44) + 1)) + (3*sqrt(22)\/sqrt(2) - (-4 + sqrt(22)\/sqrt(2))))**2.\nAnswer: 3*sqrt(11) + 47\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9403552 hours to microseconds.\nAnswer: 3385278720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108, 104, 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -8 + -1 + 10 + -24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 14 = -3*v, -4*v = h + 2 + 8. Let j be (0 - v)\/(4\/10). Let g = 8 - j. Solve -k - p + g = -2*k, 3*p + 1 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 10*w**2 + w. Let q(m) = -m**2 + 14*m - 13. Let c be q(6). Let l = -15 + c. Let o(f) = f**2 + f. Let a(s) = l*o(s) + 5*y(s). Factor a(k).\nAnswer: 5*k*(k - 5)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -60*m**2 + 50. Let u(v) = 5*v**2 - 4. Let f(k) = -2*g(k) - 25*u(k). Let z(p) = -4*p. Calculate f(z(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 714193 is divided by 714122?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1058176.6 + -5687312\nAnswer: -6745488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 6:20 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 - -46. Determine a so that 193*a + a**3 - l*a**2 + 5*a**2 - 193*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 11, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*l + 59, -3*t + 46 = -3*l + 88. Solve 0 = -0*y + 5*y - k + l, 2*k = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 6\/7  (c) -13  (d) 0.08  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 41  (b) 1  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*p - 8*p + p**2 + 14*p + p**4 to the form h + l*p**3 + k*p**4 + s*p + f*p**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 - -23. What is the closest to 0 in -0.4, o, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 3:17 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 69 = 87. What is the remainder when f\/6 + 1\/3 is divided by (0 - 1) + (6 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 3 + (-4 - 2 + 5)*(-1 - 1 + 3) - 2 + 0 + 0 + 0 + 3 - 4 + 0 - 2 + 1 + 4 + 1 + 1)*(-4*o + o + 0*o)*(-5*o + 2*o + o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7423.911m in centimeters?\nAnswer: 742391.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 708*f**2 - 54521*f + 387. Calculate u(77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40828143 is divided by 5277.\nAnswer: 5271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 458397 - 0.\nAnswer: 458397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 9:01 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = j, -5*j - 14*u + 11*u + 1 = 0. Put -7, j, 8, -5 in ascending order.\nAnswer: -7, -5, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 - ((-44039)\/(-1222) + 2)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 2141?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-three quarters of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (4\/1*1)\/((-26)\/(-26))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 70 + -70. Which is the closest to z?  (a) 5  (b) 1  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {d: 3, j: 5, x: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.034, 13\/5, 4\/7, 1?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 5341.\nAnswer: -2136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 18 = 6*o - 10*o, 4*o + 2 = 5*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 8:03 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 29 - (6 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -159, -189, -257, -375, -555, -809, -1149, -1587?\n\"Answer: -2*s**3 - 7*s**2 + 5*s - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -64910841 divided by 32833\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 131*c + 1 + 2*c**2 - 70*c - 63*c - 16*c**3 + 7*c**3. Let d(o) = -28*o**3 + 7*o**2 - 7*o + 4. Calculate 2*d(p) - 7*x(p).\nAnswer: 7*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 581105 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6021 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -95, 0, 2\/33?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 9 = -3*s - 0*s, 3*k + 15 = 5*s. Suppose -7*t + 13*t - 7740 = k. Suppose 4*g = -6*g + t. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 44.95793 millilitres?\nAnswer: 0.04495793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23972984*k**5 - 90*k**2 + 30523*k.\nAnswer: -1438379040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1285?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 513 and 627.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8772280.\nAnswer: 2, 5, 11, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10.5, -2\/13, -0.5, 14, 7, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56559 + 56556. Let w be 2\/(3\/((-6)\/(-22))). Which is the second biggest value?  (a) -0.4  (b) w  (c) z  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 38 + -16 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-6*-2*sqrt(65))\/((sqrt(275)\/sqrt(99))\/sqrt(5)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6996722*x**3 - 13993454*x**3 + 3*x**2 + 6996717*x**3.\nAnswer: -15*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n. Let w be u(-2). Let t(y) = 2*y - 1. Calculate t(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6096 is divided by 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 7600.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 291)*(3 + (-5)\/2). Suppose -s = -3*a + 127. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x + x + 1 + 0*x. Let i(w) = 5*w + 12460 - 12470 + 7*w. Suppose -30 = 4*k + 3*n + 13, 3*n = -3. Calculate k*z(o) - i(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 53\/5 of a hour?\nAnswer: 38160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i - 6*i + 15 - 7 - 3. Let o(w) = -4*w - 15. Determine -2*o(j) - 7*x(j).\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 8 + 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/5)\/c)**(10\/7)*c*c*c**7*c*c**0*c assuming c is positive.\nAnswer: c**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zftzftzzttyhxzzt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 26*b**2 + 14*b - 10. Let s be c(-7). Suppose 4*g - 1152 = 5*p - 7*p, 2*p - 3*g = s. List the prime factors of p.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, c: 4, t: 4, e: 2}. What is prob of picking 1 q and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from xcxbxxcexxxcxcx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 f, and 1 l when three letters picked without replacement from fxfxwxxlx?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 239911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 38.132926 from -32.\nAnswer: -70.132926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -10, 79, 15, -109\/5, -5 in increasing order.\nAnswer: -109\/5, -10, -5, -1, 15, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -67 (base 11) to base 12\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 230322 - 11?\nAnswer: 230311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 14  (c) 27  (d) 1\/3  (e) 0.34  (f) 8.1  (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(243) - sqrt(243)*2))**2 - ((2 + sqrt(12))*5)**2.\nAnswer: -200*sqrt(3) - 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9\/4 + 23\/28. Let j = -1514 - -872. Let k = j + 641. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.13, 0, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68118 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1011140, 1011139, 1011138?\n\"Answer: -z + 1011141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 7 - -6 - (3 - 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from civgcwgggviiig.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o**5 + 4*o**5 + 0*o**5)*(0 + 2 + 0) + (o**3 + 2*o**3 - 2*o**3)*(2 + 71*o**2 - 144*o**2 + 72*o**2 - 69*o).\nAnswer: -3*o**5 - 69*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 643416.\nAnswer: 2, 3, 17, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9718106.\nAnswer: 2, 79, 61507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -312 by -24686.\nAnswer: 156\/12343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1624151 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = i + 5*n - 38, 130 = 5*i + 5*n. Solve 0 = k + 3*t + i - 32, -4*k + 5*t - 22 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*i - 63925 - 15905 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 19*i + 4463595 = 48*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 280794048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0624721 milligrams?\nAnswer: 0.0000000624721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1417 take away -0.4?\nAnswer: -1416.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - i - 2*i)*(-77*i + 30*i + 186*i).\nAnswer: 278*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/24)\/(3\/(-9)). Which is greater: c or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1496 = 166*r + 123*r + 2261 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (557 - 566)\/(1 + (-802)\/796) is divided by 1162?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 2. Let l be b(-5). Suppose 2*r - n = -1919997, -7*r = -2*r + l*n + 4800009. What is r rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 493 or 50369\/102?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 998 = -893. What is the greatest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - g + 4)*(-1716 + 24790 + 15759 + 7451 + 32679).\nAnswer: -78963*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 + 6 - 33 = -18*f. Solve a = -z - 0*a - 3, -f*z + 2*a + 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-6*(sqrt(288) + -1 + sqrt(288) + 2 + 5 + sqrt(64)\/sqrt(2)))**2.\nAnswer: 12096*sqrt(2) + 57742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = u + 8. Suppose -10 = u*x - 22. Suppose 2*b - 4*b = -x. Solve 0 = b*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19500*b**3*d*f**3 - 4*b**3*f**3 - 2*b**2*f**3 + 2*b**2*f + 805*b**2 - 27*b - 2301*d*f**3 wrt d.\nAnswer: 19500*b**3*f**3 - 2301*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**2 - 2*d - 3. Give q(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 9:30 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r. Let l(j) = -40*j + 2. Give f(l(b)).\nAnswer: 40*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13101001 (base 4) to base 5\nAnswer: 1423021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -179.9982 - -180. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 * 24\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Let b be ((-21)\/(-35) - (-51)\/(-60))\/1. What is the nearest to -1 in -0.3, b, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4930 and 3587?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 89*o - 72. Let h(g) = 103*g - 84. Let t(r) = -7*a(r) + 6*h(r). Let q(k) be the first derivative of -6*k**2 - 1. What is t(q(s))?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7737 + -7736. Let t(r) = -49*r + 52. What is t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*c + 6 = -393 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*i**4 + i**2 - 3*i**2 + 2 + 3*i**4 - 16*i**4 + 10*i**4 + i**3 - 6*i as l*i**3 + r*i + h*i**4 + c + t*i**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18733 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15726114 divided by -2621019.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204*g + 307 + 5519 = -3181 + 235 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11470*f**2 + 21248*f**2 - 11700*f**2.\nAnswer: -1922*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*a - 415*a - 2*h = 12, 4*a + 3*h + 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, i: 2, t: 5, w: 3, o: 1}. What is prob of picking 1 o and 2 w?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1991 smaller than -1126\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 34400799800 rounded to the nearest 1000000?\nAnswer: 34401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 12*f - 37. Calculate the lowest common multiple of w(16) and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/30*-6)\/((-18)\/(-60)). Let v(u) be the third derivative of 0 + 0*u + x*u**2 + 1\/6*u**4 + 0*u**3. Let m(y) = -8*y**2. Determine v(m(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.7 - -0.3. Let i = 3.3 - 0.3. Which is the biggest value?  (a) 0  (b) m  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-51))\/((-10)\/(30\/(-1))*-1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/29, 2, -7997, 2\/9, 0.2?\nAnswer: -7997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2.4  (b) -3  (c) 2  (d) 5  (e) 651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 82*f**2 - 3 + 8*f + 4 - f**3 - 2.\nAnswer: -f**3 - 82*f**2 + 8*f - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 5*r**2. Let f be v(-5). Suppose 0 = -0*i + 4*i - 16. Suppose f = -d - i + 12. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 7. Solve -4*s - 5*x + 15 = -12, -9 = -m*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 40*d**2 + 84*d + 260. Determine t(-38).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(405)*1*2)**2 - -2*sqrt(405)*-2).\nAnswer: -36*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52.8 + -87.9. Let r = p + 35. Let g = -6.5 + 6. Which is the third biggest value?  (a) r  (b) 0.4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) - ((5 + (sqrt(539) - sqrt(539)*3))**2 - sqrt(539))) + sqrt(539))*-1.\nAnswer: -161*sqrt(11) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 7335*f - 58675. Give b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2 - 277*i - 2232. Let w be b(-8). What is the highest common factor of 854 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2, 0.3, -6079?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -5  (b) -0.3  (c) -0.1077  (d) -0.5  (e) 0.5  (f) -0.0285  (g) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.01 and 0.4916934.\nAnswer: 3.5016934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-10) + 120002\/(-5). Round z to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 3. Let n be m(6). Let y be (-6)\/(-4)*(-1 + n). Suppose 0 = y*a - 2*s - 13 - 64, -2*a + 5*s = -33. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -0.06, 45, 90 in descending order.\nAnswer: 90, 45, 5, 1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*f, 2*x + 3*f + 35 = 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 796897 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 5*q - 116, 2*g - 69 = -2*q - 21. Suppose -3*w + q = -19. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -7*p - 56. Let r be h(-8). Suppose 12*d - 16 - 20 = r. Let g(m) = -2844 + d*m + 2844. Let k(s) = -s. Calculate g(k(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 27*s**3 + s**2 - s + 1. Let g be b(1). Suppose -35*o + g*o + 4907 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -4*r - 914*r**2 + 470*r**2 + 451*r**2. Let n be (-10)\/(-4)*20\/(-10). Let s(w) = -22*w**2 + 12*w. Calculate n*s(p) - 16*g(p).\nAnswer: -2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370612 is divided by 416?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3702073 to the power of 1\/2, to the nearest integer?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68846 (base 9) to base 16.\nAnswer: b340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 110010010011011000100 (base 2) to base 7\nAnswer: 20003416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22835201 is divided by 4567040.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29740 + 29740.4. Let s = 267\/35 - 36\/5. Which is the fourth smallest value?  (a) s  (b) -11  (c) 1\/2  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -2*v - 5*k + 477, -3*v + 2*k = -725. Suppose 35*l = v + 74. Solve 3*j = 5*g - l, -4*j + 19 = 3*g + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-174)\/15 - 4\/10. Let p be (-4)\/2*q\/(-8). Let h be 0 + 10\/2 + p. Solve -h*z + 2 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3908*x**2 + 1 - 4.\nAnswer: -3908*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.4964 and 0.033.\nAnswer: -0.2473812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.92891927 + 0.92891815. Let p = -6.4 + -0.6. Let b = q - p. Round b to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62737 and 2?\nAnswer: 125474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -2828549.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2243 - -4083. Calculate the greatest common factor of 80 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0)*(1 - m - 2*m**2 - 3 + 5).\nAnswer: -4*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -4, 2, 169, 4 in decreasing order.\nAnswer: 169, 4, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -4141?\nAnswer: -4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + 482. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 612 and 17441388?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 0.03, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -250*q**2 + 13*q - 113. Let b(o) = -31*o + 57 + 125*o**2 + 61*o - 36*o. Let r(h) = 13*b(h) + 6*s(h). Differentiate r(v) wrt v.\nAnswer: 250*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 6*f + 5. Let j be q(0). Suppose -1 = j*n + 3*r - 27, -2*n = 2*r - 12. Is (1656 - n\/(-4))*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0767 * -265751\nAnswer: 20383.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 33745850 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 115\/(-4) - (-1)\/(-4). Let p = w - -24. Is p bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/3*45\/6. Let g(y) = -17*y**2 - 24*y + 64. Let n(m) = 15*m**2 + 25*m - 64. Let c(j) = -6*g(j) - 7*n(j). Let a be c(-12). Solve b + a*b = w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**4 + 0*w**3 + 4*w**3 - 13*w**3 = 0 for w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -3  (b) -0.5  (c) 4\/9  (d) 4  (e) -184\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26662291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -924080*v**5 + 2929*v + 17?\nAnswer: -18481600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 3*d - 3207084 = -58207099, -4*d = -20. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317 a factor of 336298643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**2 - 241659189*d + 483318390 = 0. Calculate d.\nAnswer: -80553065, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + (10 - 8) - -10) + -5 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2\/2*(10 - 7) and (-66)\/(-8) - (54\/(-8) + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5988*n + 821*n + 162511 - 18629 + 228142 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-3)\/2))\/(56\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2672400 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4902328.\nAnswer: 2, 612791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 37 = -5*i - 0, -3*i + 13 = -2*o. Let c = 33 + o. Suppose 5*j - 4*j = c. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus -0.583?\nAnswer: -0.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (92\/207)\/((-4)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -21.40651 and 4.\nAnswer: -85.62604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 78.8?  (a) -162  (b) -4\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 7. Suppose 81 = 4*t - f*b, 0*t + 4*b = -2*t + 8. Calculate the greatest common factor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20472.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56756486\/259413 + -7220\/33. Let n = -817534\/39305 - s. Which is smaller: n or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -3 - (0 - -2)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -59*a**2 - 65*a**2 + 1982 - 61*a**2 + 187*a**2 - 636*a**3 wrt a.\nAnswer: -1908*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*l + 4*w, 2*w - 5 = 3. Let n be -4 - (-1 + -9)*l. Calculate the greatest common factor of 24 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 733507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 576*g + 2. Let k be l(0). Let w(y) = y - y**3 + y - 6*y + y + 5*y**2 - 4. Let v be w(4). Solve v*z = z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 360889, 721759, 1082591, 1443385?\nAnswer: 1804141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 275 + -999?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 116404 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 107892944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 297238415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -131.177 + 0.177. Let m = -131.1 - d. Let u be (-2)\/(-5) - 38\/20. Sort u, m, -0.5 in descending order.\nAnswer: m, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 17*u - 384. Give r(7).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/9223 + -1134409\/92230. Find the common denominator of h and 101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + 9*u + 6*u + (u + 3*u - 2*u)*(4 + 3 - 5) + 0 + u + 0*u + 1.\nAnswer: 19*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 6*a**2 + a + 6. Let w be d(-6). Suppose -9 = 3*q - 2*t - w*t, 2*q - 5*t = 5. Sort 2, -2, q in decreasing order.\nAnswer: 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*h + 13*h - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 11. Let d(c) = c + 10. Let q(j) = -4*d(j) - 5*g(j). Calculate the remainder when 7 is divided by q(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 88\/30 + (-6)\/(-9) + -3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (30\/20)\/((-2)\/(-44)). Suppose 3*h = 105 - q. Factor h*v + 5*v**4 - v**4 - v**4 + 18*v**3 + 36*v**2.\nAnswer: 3*v*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y + 18*y - 5*y)*(258*y + 285*y**2 - 258*y).\nAnswer: 4845*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -m**2 - m*s**3 + 1168*m*s**2 - 18*s**3 + 12*s**2 - 15 wrt m.\nAnswer: -2*m - s**3 + 1168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of 3*w**2 - 1\/60*w**5 + 0*w + 0 + 0*w**4 + 0*w**3. Let f(b) = 2*b**2. Give f(g(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -328*r**3 + 330*r**3 + 36 - 16*r - 14*r + 11*r**2 + 26*r to the form x + f*r**2 + g*r + c*r**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/(-12))\/((-37)\/(-36) + -1). Is -29 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -171 + 173. Suppose 18*i = w*i. Solve 15 = -3*o - i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -63, -25, 73, 261, 569, 1027?\n\"Answer: 5*q**3 + 3*q - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 + 70480*k + 2967216.\nAnswer: -4*(k - 17662)*(k + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 251, 4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -577*z - 11 + 11 + 1146*z - 573*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 576 + 4*c**2 + 563 - 3*c**2 + 564 + 560 - 2234.\nAnswer: c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193*j = -176*j - 221. Let y(u) = -5*u**2 - 11*u - 5 + u**3 + 3*u + 1. Calculate the remainder when y(7) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15083097 is divided by 253?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/3*-3)\/((-1)\/(-26))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - s**2 - s + 8. What are the prime factors of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1063 - -1107. Solve -21*s + 2 = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 7*l**2 - 3*l - 7. Let f be v(6). Let y = -6 + f. Solve 0 = 2*z + y + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3590502214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203323431 - 1?\nAnswer: 203323430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 360172*k**5 + 218633*k**2 wrt k?\nAnswer: 21610320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -2, 3, 10\/27, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - w + 12. Let s = 1134 - 1126. Solve 7 = 3*m - 4*y - s, w*y = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139 + 141. Suppose 28 = -l*q + 5*c + 97, -5*c + 12 = q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -5*s - 45, 67 = s - 4*f + 85 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -24082.3.\nAnswer: -12041.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 10 = 6*x - 5, -23*u - 9 + 2 = -22*u - 4*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -169, -393, -693, -1057, -1473, -1929, -2413?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140866690?\nAnswer: 2, 5, 61, 230929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 3*u - 3*v, 5*v - 40 + 60 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 173.6 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 4, z: 5, k: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 0*w**2 - 2\/3*w**3 + 0*w + 2. Let z(o) = -3*o. Calculate z(k(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 147\/14 - (-105)\/66\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 437847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*a*o**2 + 206*o**2 with respect to a.\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/6331 at least 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1474144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-46)\/5865*-136*9\/4\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11222 (base 3) to base 2.\nAnswer: 10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-78)\/15*10*1\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.649919 to 3 dps.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand f - 6*f + 0*f + (-1 + 3 - 3)*(0*f - 3*f + 2*f) + (-1 + 0 + 0)*(-3*f + 2*f + 3*f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m**2 - 30 + 10*m**2 + 18*m**3 - 15*m**3 - 7*m**2 + 8*m**2 to the form i*m**2 + g + p*m**3 + t*m and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4113.60481 rounded to one decimal place?\nAnswer: -4113.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -60669513969.8.\nAnswer: -60669513974.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95440123.\nAnswer: 83, 1149881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1683.9847 to the nearest integer.\nAnswer: -1684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 8*j**2 - 2*j + 2. Let f be a(-8). Let y = f + -7. Suppose 242*o = 250*o - 136. Calculate the remainder when o is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 2*m**2 - 2*m**4 + 4*m**2 - 29*m + 1 - 4*m**2 + 95*m + 2*m**3 to c*m**3 + b*m**2 + j*m + u*m**4 + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + 14030.\nAnswer: 14027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + 646\/(-57) + 21)\/(4\/33).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xccx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 6*m + 399 = 0. What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 7*z + 4. Let j(x) = -2*x**2 + 15*x + 9. Let h(v) = 6*j(v) - 13*k(v). Let i be h(1). What is the greatest common divisor of i and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -262 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 397628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 49*h - 47*h - 1848. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + r**2 + 15*r - 23. Calculate h(-6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -105, -398, -873, -1518, -2321, -3270, -4353, -5558?\nAnswer: -6873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*p - 7*p = -4230 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 3*u + 49. What is the remainder when 821 is divided by v(-6)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r - 2*r**2 - 2*r + (-2*r + 5*r - r)*(r + 0*r - 3*r) - 4*r**2 - r**2 + 4*r**2 - 44 + 44 + 30*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -a0374d (base 14) to base 16\nAnswer: -523689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000001010100011001 + 11?\nAnswer: 10000001010100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 462395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12217721 and -1?\nAnswer: 12217721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11275, 22568, 33857, 45142, 56423, 67700, 78973?\n\"Answer: -2*p**2 + 11299*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 2*g - 960, -992 = -2*g - 2*u - 2*u. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 1 - 6 = 0, 0 = -2*c + 3*m - 39. What is the remainder when 38 is divided by (0 - (c - -1)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 14*a**2. Let s = 18 + -26. Let f(d) = -2*d**2 - 8*d. Let z(g) = -g**2 - 3*g. Let m(b) = s*z(b) + 3*f(b). Determine m(i(h)).\nAnswer: 392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7192 + 8985 - 5464)*(-2*p - p + 4*p).\nAnswer: -3671*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**7\/735 + h**6\/210 - 3*h**5\/70 - h**4\/42 + 8*h**3\/21 - 35*h**2 - 10. Determine s, given that i(s) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69*n**3*s**2 - n**3*s - 406*n**3 + s**2 wrt s?\nAnswer: 138*n**3*s - n**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s**3 + 2*s**2 + 2. Calculate d(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 666095449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8707 is divided by 311?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45368, 90730, 136096, 181472, 226864, 272278, 317720, 363196?\nAnswer: 408712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, r: 2, u: 1}. Give prob of picking 2 r and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1023805986 to the nearest integer?\nAnswer: 31997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -909010 + 1272834. Let p = -1653824 + u. Round p to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 7*u**3\/6 - 202*u. Let l(o) = 4*o**2 + 5*o. Let s(h) = 6*h**2 + 7*h. Let j(d) = -7*l(d) + 5*s(d). Determine j(m(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h**3 - 2*h - h**4 - 2*h**2 + 10*h**3 + 15 - 13*h**3 to the form p*h**4 + f*h**3 + n*h**2 + w + l*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-6)*0\/(-3). Suppose 5*r + 3 - 23 = l. Suppose 2*b - 43 = -v - r, 5*b + 69 = 2*v. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(153)*-5 + 1*(-1*sqrt(153) + sqrt(153)))\/(-1*(sqrt(108)\/sqrt(4)*4)\/sqrt(3)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-108))\/(4\/(36\/75))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/3)\/(2\/(-3)). Let s(p) = 17*p**2 - 2*p + 1. Let z be 12\/8*(-4)\/(-6). Let a be s(z). Calculate the highest common factor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*s**2 - 19*s**2 - 3 + 3 + 38*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16262, -16195, -16084, -15929, -15730, -15487?\nAnswer: -15200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (36 - -14298)*((-42)\/18 - -5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**3 - 2872*v**2 - 19956*v - 34128 = 0. Calculate v.\nAnswer: -711, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 489.271l to millilitres.\nAnswer: 489271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.6113 to 1 dp.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(11\/(66\/4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3225 - 3.3225. What is the second biggest value in 3\/4, 0.22, o?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**3 + 26*g - 26*g)*(-3*g**2 + 5*g**2 - g**2 + (-8*g - 8*g - 6*g)*(g - g - g)) + (5 - 5 - 2*g**4)*(-g - 2*g + g).\nAnswer: -42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (589\/6)\/((-135)\/(-12231)). Let k = -8901 + a. Find the common denominator of -107\/10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17738, 1907, -1 in decreasing order.\nAnswer: 17738, 1907, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 36350, 36340, 36330?\n\"Answer: -10*k + 36360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -106 - -10. Let j = 169 - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**2 - 2*o**2 - 10*o**2 + 6*o**2 + 61*o.\nAnswer: -o**2 + 61*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*1198346\/535626 + (-4)\/(-234).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**5 - 15116*m**4\/3 + 3169422*m**3 - 10515524*m**2 + 12570328*m\/3 + 8407056 = 0?\nAnswer: -2\/3, 2, 1179, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 + 575694776*n + 1151389568.\nAnswer: -4*(n - 143923696)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 247 and 0.4.\nAnswer: 98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -7. Let m be ((-5)\/(-3))\/((-1)\/3). Let u(k) = k**2 - k - 14. Let b(t) = m*a(t) + 2*u(t). Does 20 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2029, -2028, -2027, -2026?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 34687898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -12, 5 in ascending order.\nAnswer: -12, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**2 - 167012*u - 167008 = 0. Calculate u.\nAnswer: -41752, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**3 + 12*a**2 - 2 + a + 18 - 18 to p*a**3 + u*a**2 + m*a + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 29774289 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 84482, 168953, 253398, 337805, 422162, 506457?\n\"Answer: -2*t**3 - t**2 + 84488*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 10:42 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 - 93. Which is the nearest to 0.5?  (a) z  (b) -2\/3  (c) 13  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slsjlblxbljc. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 21*s**2 - 23*s - 15. Is b(-20) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-250 + -2)\/(((16 - -16) + -33)\/((-5)\/(-10)))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 2) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -414 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/2*(3\/4 - (-3280)\/64). What is the greatest common factor of x and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13 + 600\/45)*15 + 5062*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 72. Let q(s) = 3*s**3 - s**2 + s - 1. Let p be q(1). Suppose 4*h - 4*o = 38 + 30, 3*h = -p*o + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -22*w**6\/15 - 29*w**5\/5 - 7*w**4 + 2*w**3\/3 + 8*w**2 - w + 117. Find r such that k(r) = 0.\nAnswer: -1, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11210 + 202?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -2*g + 16, -5*g - 2 = -3*t + 10. Suppose -v - 3*w - 2 = -4, -4*w - 16 = g. Let l be (-6)\/v + 468\/63. Solve 3*z + 16 = l*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*b - 2*b - 3 = 0, -b = 2*q - 1. Suppose q = -5*s + 2*s. Solve 5*r - 2*t + 20 - 5 = s, -20 = 2*r + 2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*b + 17*b = -132 - 36 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 95083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (2 - 10 - (-55 + 16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -713329*h**3 + 9*h + 15*h - 13*h**2 - 713328*h**3 + 1426658*h**3. Give x(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37.726785 + 37.648. Round k to three dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-63)\/12) + (-3)\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7051, -14471, -21891, -29311?\nAnswer: -36731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -111 + 189. Let x = z - 72. Let o(s) = -4*s**2 - 4. Let k(c) = -3*c**2 - 3. Calculate x*k(p) - 5*o(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4029 - -4031. Let j(g) be the second derivative of l*g + 0 + 0*g**2 - 2\/21*g**7 - 2\/5*g**6 + 4\/3*g**3 - 1\/5*g**5 + g**4. What is b in j(b) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12262221 (base 7) to base 13.\nAnswer: -2ca228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of 286*c**6\/15 - 23*c**3\/2 + 10*c - 6. Find the second derivative of g(m) wrt m.\nAnswer: 6864*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + -27.656. Let u = 73.044 - z. What is u rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2*z - 2 = 0, 3*a - 4*z + 0*z = -4. Let q = -22 - -28. Let w = 10 - q. Solve 2*d = -a*d - 4, -k = -w*d - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -23\/25?\nAnswer: -23\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 125*c**5 + 2076725*c**4 + 8587826770*c**3 - 314192513510*c**2 - 2434008513375*c - 4306305009375 = 0.\nAnswer: -8325, -17\/5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.0702 + -0.0702. Which is the nearest to -3?  (a) -0.2  (b) t  (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -492.1 + 492.10012013. Round w to 6 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1072.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -3*v**5\/20 - 5*v**4\/12 - 7*v**2\/2 + 17*v. Let g(q) = q**3 + q**2. Determine -5*g(b) - t(b).\nAnswer: -2*b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-1)*(-3)\/9. What is the closest to j in -2, -1\/5, -4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (5 - 1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11127 + 21597 + 202044 = -3504*x for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001493643 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 0.4. Let g = -4.8 - -0.8. Let z = -1.9 + 2. Which is the nearest to n?  (a) z  (b) -2\/15  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -853\/346 - 6\/173. Sort -1, 1, -0.5, d in descending order.\nAnswer: 1, -0.5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 11*f - 92701 = -9*f. Calculate the greatest common factor of f and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/5 + 276*y**3\/5 - 18484*y**2\/5 - 15456*y - 15680.\nAnswer: -(y - 140)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/10, 0.5, 0, 12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 322504657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*f**3 - 4*f**3 + 21*f**3 - 6*f**3.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 8:16 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*h**2 - 2\/3*h + 8\/3 + 1\/6*h**3.\nAnswer: (h - 4)*(h - 2)*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2383, 4859, 7335, 9811?\nAnswer: 12287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 151 = 124. Let h = q + -53. Suppose h*s**3 - s - 3 - 3*s**3 + 2*s**3 + 3*s**2 = 0. What is s?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 64301479 to the nearest integer?\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -174 from -9191.\nAnswer: -9017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence orrr when four letters picked without replacement from {r: 4, o: 16}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**2 + 11*y - 4. Let x be g(-6). Suppose 3*s = -2*h - x, 3*h + s = 6*h - 19. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15ad (base 15) to base 13\nAnswer: -2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -4. Calculate the common denominator of (-37)\/(1*z\/(-1)) and (-332)\/96 + 6\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -5  (c) 5  (d) 1  (e) 4243\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12661535 is divided by 2110254?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 337 + -337. Suppose 4*z - 4 = 0, a*l + 3*z + 109 = 2*l. Calculate the greatest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6243\/(-160237) + 702\/231.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of 11*k**2 + 0*k**6 - 152*k + 0 + 1\/6*k**4 + 0*k**5 + 349\/42*k**7 + 0*k**3. What is the third derivative of s(w) wrt w?\nAnswer: 20940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -211.52 to 0 dps.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(((a*a**(5\/2)\/a*a)\/a)\/a)\/a*a*a\/(((a*a**5*a)\/a)\/a))\/(a**(1\/7)\/(a**(1\/6)\/a))*(a\/(a\/a**(-1)))**(1\/34)\/(a*a**0)**(-17) assuming a is positive.\nAnswer: a**(10349\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 6:55 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/4, -0.5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7274.57 rounded to the nearest ten?\nAnswer: 7270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*p + 94*p**2 - 26*p - 28*p as u*p**2 + g + r*p and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*p + 19*p + 3. Let v(y) = y**2 + 929*y - 2*y**p + 1 + 0*y**2 - 929*y. Determine v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1103103 (base 5) to base 12\nAnswer: -b101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 6\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 654 a factor of 34473648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -4*g + 17, 7*x = 2*g - 1042 + 1039 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -577038, -1154075, -1731112, -2308149, -2885186?\n\"Answer: -577037*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1170, -2353, -3536, -4719?\nAnswer: -5902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1042221.5 rounded to the nearest ten thousand?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = -3*g + 179. Suppose 0 = -72*k + 69*k + g. Suppose -2*j + 5 = -3. Calculate the least common multiple of k and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2020120021120 (base 3) to base 10\nAnswer: 1192119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 - -35 - ((15 - 15) + 2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 3*x + 18 = 0. Suppose p = 5, -4148*p - 505 = -4*u - 4153*p. What is the least common multiple of u and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35*p**4*x + 2375*p**3*x**3 - p**2*x**3 + 2*p**2*x**2 - 3*x**2 + 5140 wrt p.\nAnswer: 840*p*x + 14250*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 185 and 6549.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -537\/8 - -67. Let b = -32\/33 + -5117\/66. Let m = b - -76. What is the second biggest value in -3, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 24 = 4*u, -2*u - 2*u - 32 = -4*h. Let x be 4\/3*(-6)\/u. What is the units digit of 8\/3 + x\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8948.957 times -0.3?\nAnswer: -2684.6871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -1, 17, 36, 8 in increasing order.\nAnswer: -1, 8, 17, 32, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -11. Let p = o + 4. Which is the biggest value?  (a) p  (b) 0.2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 390018613*y**2 + 159353547 wrt y?\nAnswer: 780037226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)*2 + sqrt(384))\/sqrt(3) + (sqrt(6)\/sqrt(3) + -2 + 3)**2.\nAnswer: 3 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 52\/(-91)*(-98)\/4. Let q = -12 + i. Solve 0 = c - 0*c + q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -11*d**2 + 29*d - 6. Let v(w) = 7*w**2 - 19*w + 4. Let b(x) = 5*q(x) + 8*v(x). Calculate b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -72?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 66517 - -2?\nAnswer: 66520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159138 divided by 6.\nAnswer: 26523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 58749 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110100010111010010 (base 2) to base 6.\nAnswer: -23500122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 7) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 52 and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 297\/(-22) - 14\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwpp when four letters picked without replacement from qwwwwqwpwwp.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaiaaxdh?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 134312493 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24aa8 - -429?\nAnswer: 25426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6392061 to the nearest integer?\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x + 5*x + 0*x - 3*x + 1. Let r be t(3). Suppose 3*l = 6*l. Sort l, 4, r in ascending order.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-18)\/192)\/((-5)\/8))\/(((-6)\/4)\/1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00027992166 rounded to 7 dps?\nAnswer: 0.0002799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 4 + (2 - 3). Let b be (-1*3)\/g + (-88)\/(-16). Solve -b*p - 2 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*f**5 + (-3*f**5 + 5*f**5 - 15*f**5)*(-18 - 42 + 17 + (-1 + 3 - 1)*(1 + 0 - 3) - 1 - 1 + 3 + 1 - 2 + 0).\nAnswer: 583*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -28, -30, -18, 14, 72?\n\"Answer: c**3 + c**2 - 12*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021500347 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -689*r - 256*r - 344*r.\nAnswer: -1289*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -502 divided by 33.\nAnswer: -502\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(252) + 5)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1494684161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.26 - -4775483968155.\nAnswer: 4775483968155.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 2*o + 4 = 0, 4*v + 2*o + 23 = -3*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 853885119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/5 + ((-33740)\/25)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436267 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {w: 3, i: 1, a: 1, m: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s**3 - 9*s**2 + 18*s - 9. Let p(z) = -13469 - 27*z - 13469 + 14*z**2 + 26952 - 5*z**3. What is -8*i(j) - 5*p(j)?\nAnswer: j**3 + 2*j**2 - 9*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-9))\/(28 + (-29344)\/1050)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1806 divided by -2.\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14.27 - 0.27. Let q = 18 - c. Sort 1, q, 3\/8 in descending order.\nAnswer: q, 1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 333*q**3 - 43 + 43.\nAnswer: 333*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzbz when four letters picked without replacement from {b: 9, z: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -788*t - 1815*t - 2025*t in the form i + b*t and give b.\nAnswer: -4628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 396 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39083999*r**2 + 77515020*r?\nAnswer: -78167998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*a - 15*a + 24*a)*(-3 - 5 + 31) to the form t + z*a and give z.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-1)*p*p**(-1))\/(p**(-1\/4))**(2\/13))**(-16\/5) assuming p is positive.\nAnswer: p**(-424\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*d**4 + d - d**2 + 2*d**4 - 2 + 2*d**4 - d**4 to a*d + v*d**3 + o + p*d**2 + l*d**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 45ec?\nAnswer: 45ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**8*r*r\/(r*r**(-9))*(r*r*r**(-2\/3))**40*(r**(1\/4)*r*(r\/r**3)\/r)**39 assuming r is positive.\nAnswer: r**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 263 divide 153592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-11 - -5) - (1 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1724815 or -1724809?\nAnswer: -1724815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -94081 - 204*q + 1309*q + 94081 as v*q + p and give v.\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -83*n*u - 212*n - 5*u**3 with respect to u.\nAnswer: -83*n - 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 6*v**2 + 7*v + 2. What is the remainder when 62 is divided by p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -1\/3, -4, 0, -0.04, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15 is divided by -1 + 4 + 2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (7 - 6)) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i + 0 - 2 + 6. Let c(h) = h**3 + 7*h**2 - 5*h + 117. Let j be c(-9). Determine l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*y + 64*y - 5355 = 190*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 140, 2755, 4, 3?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85 - (118 + -92)*-4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*j**3 - 4*j**3 - 7*j**3)*(-2*j - 5 + 5) - 3*j**4 + 28*j**4 + 58*j**4.\nAnswer: 125*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 3*s**2\/2 - 5. What is the units digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 + 11*r + 7. Let j be b(-5). Suppose 1\/2*l**3 - j*l**2 + 2 - 1\/2*l = 0. Calculate l.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169878 is divided by 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*g = -g - 19429, 19464 = 4*s - 4*g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13.81 - -14.11. What is the third smallest value in q, -0.5, 1\/4, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (((sqrt(80) + sqrt(20))*2)\/(sqrt(16)\/sqrt(16)) - (sqrt(10) + (sqrt(10) - sqrt(360)*1 - sqrt(10)))\/sqrt(200)) + 2)**2.\nAnswer: 100*sqrt(5) + 3189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + (2 - 3) - 0. Suppose p - 2*o = 7, a*p + 3*p = 3*o + 18. Let c(r) = 152*r + 162. Let q be c(-1). Calculate the highest common divisor of q and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/6 - (-44)\/132. Solve -2*i = -4*v + 4, 0 = -4*i + 6 + r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137, -79, -21, 37, 95?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1517 + 12581 = -277*t + 738*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.11294 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (3 - ((-7 - -11) + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131, -205, -279, -353?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 5.397.\nAnswer: 0.5397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164326745.\nAnswer: 5, 11, 233, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4.9  (b) -257  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 11:33 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 189048293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1591085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 479686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(-1)\/3*4. Let a(v) = 18*v**2 + 5*v - 1. Is a(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1586, -1571, -1546, -1511, -1466, -1411, -1346?\n\"Answer: 5*q**2 - 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 875538584*h*t**3 - 3*t**3 + 101*t**2 - 1018770 with respect to h.\nAnswer: 875538584*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-598*m + 423*m + 402*m)*(-10 + 5 - 4) + (-1 + 1 - m)*(-3 + 9 - 2) as p + f*m and give f.\nAnswer: -2047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -64*x**7\/21 + 32*x**4\/3 - x**3\/6 + x + 98. Find the third derivative of y(p) wrt p.\nAnswer: -7680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.0184 - -12.5. Round y to two decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/((sqrt(16)*-5)\/sqrt(4)))**2*-1.\nAnswer: -17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 413\/(-15694) + (-118)\/1292.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 632379620 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22104 (base 5) to base 13\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34678 - 34712.902. What is z rounded to one decimal place?\nAnswer: -34.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126177, 126856, 127985, 129564?\nAnswer: 131593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.0124  (b) -21\/46  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 2. Let o be v(-3). Let u(b) = b + 16. What is the units digit of u(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/2))**15*(i*i**0)**(-2\/41)*(i**(-5\/4)\/(i**(-5)\/i))\/(i*i\/i**4*i**(-6)*i) assuming i is positive.\nAnswer: i**(689\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.2 - 0.2. Let b = v + -5. Sort -0.2, 1\/7, b in descending order.\nAnswer: 1\/7, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*p**2 - p**3 - 112*p**2 + 0*p**3 + 460*p + 3*p**3.\nAnswer: 2*p**3 + 3*p**2 + 460*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 8:25 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 852807 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16801691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -104830 divided by -2?\nAnswer: 52415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10021*k**5 + 271*k**2 - 10*k?\nAnswer: 601260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of m**5\/60 + 11*m**4\/24 + 13*m**3\/6 - 6*m**2 - m. Let r be l(-8). Sort r, 0, 5 in decreasing order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/16 and 105\/407277692.\nAnswer: 1629110768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 88*u**2 - 7*u + 482. What is the tens digit of h(-87)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 6*y - 1. Let v be b(5). Let i be (v\/(-6))\/(4\/(-66)). Suppose -3*r + 59 - i = 2*p, 5*p = 3*r + 78. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 29012811  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 1. Let q(x) = 8*x**2 + x - 5. Give 5*p(u) + q(u).\nAnswer: 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*k = 22*k + 174. Solve 4\/3*i**k + 8*i - 8\/3*i**3 - 2\/3*i**4 - 6 = 0 for i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - 24 - 24*r**2 - 3 + r**2 + 0 + 1 + (3*r - 2*r + 2*r)*(-2 + r + 2) as f*r**2 + y + v*r and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 138928 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 - -80. Let h be (-4)\/(-5) - 2\/(-10). What is the remainder when a is divided by (7*(3 + h))\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.5, 38, 0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 527\/7 - 75. Suppose -4*q + 6 = 2. Let c be q*2*3\/(-6). Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/40*-4*25\/30. What is the closest to j in 1\/9, 0.1, -1\/5, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152.6+5571\nAnswer: 5418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/(-27) + (-11)\/(-3). Let l(n) = -n**2 + 42*n. Let a be l(38). Let o = a - 152. Solve -5*i + 33 = -w*q, -5*q + o = -i + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 2*n + 7 - 17 = 0, 2 = 2*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8720 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 + 21*y + 10. Let a be j(-9). Let q = -62 + 64. Suppose 12 = -5*o + q. Do o and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100010 - -101?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 29698968 and 178193808.\nAnswer: 178193808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57755895 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/(-3))\/(2\/12). Suppose -3*c - 6 = -6*c. Suppose 0 = -n - c + u. Calculate the smallest common multiple of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 645 = -3*r, 9*m + 5*r = 4*m + 800. Suppose 0 = -y + 190 - m. Solve -5*g = -4*x - 5, -3*x = 2*g - 0*g - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s**3 - 950*s**2 + 5*s - 984. Let i(f) = -5*f**3 + 950*f**2 - 6*f + 985. Let u(o) = 5*i(o) + 6*x(o). What is the derivative of u(q) wrt q?\nAnswer: -3*q**2 - 1900*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 1\/4, -36, 1, -0.531?\nAnswer: -0.531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22)\/(-4) - 1\/2. Let q be (-17)\/(-4) - g\/20. Suppose q*h = -4*d + 88 - 36, h + 5*d = 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/22*(8\/4)\/6*3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 402420433 (base 5) in base 4?\nAnswer: 12020133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*o + 48. Let b(q) = q**3 + 5*q**2 - 2. What is the smallest common multiple of o and b(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m**2. Let v(c) be the first derivative of 51 - c**2 + 30 + 49 - 108. Give h(v(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20042551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7664\/7 + -22309897\/20377. Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 13) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -742 + 728 - (-45 - -1) - -8.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80450 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 288 and 204.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 95 = -905. Suppose -y = 6*j - 7*j. What is the highest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-1 + (-235)\/(-225)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -878*t**3*z - 48*t**3 - 4*t wrt z?\nAnswer: -878*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 189 + -188.9. Let y = 4.92 - -0.08. Sort y, w, -1 in descending order.\nAnswer: y, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48*b*d*v**3 - 2*b*d*v**2 - 3465869*b*v**3 - 3*b*v**2 + b*v - 12*d*v + 63298*d + 3*v**2 wrt v.\nAnswer: 288*b*d - 20795214*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*p + 186*p - 99 = 0. Solve -3*c + 8 = -v, 3 = -4*v + 2*c + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -g**4\/12 + g**2\/2 + g. Give n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/((((k*k**(-7)\/k)\/k)\/k)\/k))\/k*k)\/k**(-4))**(-2\/41))**(-2\/121) assuming k is positive.\nAnswer: k**(60\/4961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 2*v + v)*((4 - 2 + 1)*(1 + 2 - 4) + 11 - 3 + 0).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 406 - 403.81. Let p = -2.189999438 + r. What is p rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*3 - (-5 - -64*2). Let j be 94\/w - 5\/(-20). Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (190\/95)\/(2\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -o**9\/10584 + o**7\/2940 - 7*o**3\/6 + 9*o. Let w(h) be the second derivative of x(h). Factor w(q).\nAnswer: -2*q**3*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3233331 + 2312101?\nAnswer: -321230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 2\/53, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-482 - 257 - 103)*(3*t - 3*t + t**2).\nAnswer: -842*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*d + 18 + 18 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.57791127 take away 48824.4?\nAnswer: -48825.97791127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 12\/118463?\nAnswer: 12\/118463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 835389\/(-71370) + (4 - 1). Let j = r - -4\/793. Find the common denominator of (74\/8 - 1) + 2 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.8, 7295, 1\/3, 0.3 in decreasing order.\nAnswer: 7295, 0.8, 1\/3, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4259 - 9908 + 4174 - 6181 - 53 - 5641)*(0*n**3 + 2*n**5 + 0*n**3).\nAnswer: -43736*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2. Let t(z) = 2*z**2. Let r(o) = -2*f(o) + 5*t(o). Let k be -2 + (-3 + -2)*-1. Let j(c) = -3*c**2 + k*c**2 + 6*c**2. Give j(r(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/4, 197\/2, -40?\nAnswer: 197\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/36 and (-7 - 10\/4)\/(3 + 1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-3)*(-42)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 + 165*a - 2052. Calculate d(14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83, 161, 215, 233, 203, 113, -49?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 7*p - 3*p = 300, 3*p = -4*h + 240. Suppose -5*a = -u - 0*u - h, -2*a + 24 = -5*u. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2578 is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -28 + 22 - (0 + 73)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*3*2\/3. Let f = p + -4. Let l = 19 - f. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 869418*s**3 + 139916*s**3 + 966484*s**3.\nAnswer: 1975818*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 174157714 and 34178?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 + 8*l - 5. Let s be f(7). Suppose -v = -s, -5*v + 3*v = -d. Let y be (1 + 0 - -3)\/1. Solve -y + 16 = -d*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 80143 and 2.\nAnswer: 160286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -0*f - 16. Let t be ((-9)\/(-6))\/(f\/96). Let i = t + -18. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40451*a*o**2 + 126078*a*o + a + 84*o**2 - 17*o wrt o?\nAnswer: -80902*a + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-13 - (14 - 4 - -4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmymmymmmmmmmmym. What is prob of picking 4 m?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 48*s**2 - 142*s - 6. What is the tens digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 8 + 10. Suppose g*n + 3*n - 3*a - 663 = 0, 2*n - 261 = -3*a. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.14 - -0.14. Let n = 32 + -1. Let a = n - 31. What is the third smallest value in z, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 3, -71 in decreasing order.\nAnswer: 5, 3, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 divided by -185.\nAnswer: -39\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 355526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i - 3. Let s be p(3). Let q be (s\/(-4 + 1))\/2. Let j(l) = -128*l**3. Let b be j(q). Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -2.5. Let h be 2\/9 - 4592\/63. Let u = h - -72. Which is the closest to -1\/4?  (a) 0.3  (b) u  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000320 (base 4) to base 13.\nAnswer: 1b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/7 + 187148\/(-14). Let k = 25568 + b. What is k rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (736270\/2414)\/(21\/(-1) - -1).\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(-18) - 9907*(-4)\/36.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/68805 and -16\/171585.\nAnswer: 262353465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/56)\/((-135)\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -8. Let h = -3.1 - 0.3. Let j = h + k. Sort 2\/3, j, 0.2 in increasing order.\nAnswer: j, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2858.43  (b) -3  (c) -0.4  (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10\/1804667 or 25?\nAnswer: 10\/1804667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-500)\/(-24) + 2*4\/48. Let s = 21 - k. Suppose s*p = -4*p + 48. Put 5, -1, 3, p in ascending order.\nAnswer: -1, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 31663.77um?\nAnswer: 0.03166377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.036 and 105804?\nAnswer: 105803.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 194 or 187?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 97*a**2 + 1066*a - 83. Give i(10).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 3:22 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 86e + -41b?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2846 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: Suppose -7*f + 3*f + 16 = -3*f, k = -3*f + 53. Suppose 3*z - 7*z - 5*o + 32 = 0, -z + 5*o = 17. Solve -4*c = -k*i + 16, -z*i - c - 3*c = -16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70471.04 meters in nanometers?\nAnswer: 70471040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.176 to 2 dps.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, d: 8, q: 2, j: 1, n: 5}. What is prob of picking 1 q and 1 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g - 16*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3, 4, -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -1\/3, 12705, -0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114454*z - 428373*z - 314668*z.\nAnswer: -628587*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 908921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 608 divide 66579040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -6*q - 40*q. Factor -4 - 30*g + 46*g - 4*g**2 + q + 2.\nAnswer: -4*g*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 10*b**2 - 106*b + 554. Give d(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of y**3\/6 + y**2 - 5*y. Let b be p(3). Let w(a) = 2*a**3 + 6*a - 3*a**3 + 5*a**2 + 5*a + 7 - 13*a. Give w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 4798379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 7*q**2 - 8*q + 7. What is r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 510*m**3*x**4 - 65*m**3*x**3 + 381*m**3*x - 2*m*x + 263*x + 1 wrt x?\nAnswer: 6120*m**3*x**2 - 390*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 1, u: 2, g: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41104433 - -41?\nAnswer: 41110024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -91*(5 - -8)\/(-169)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1376, -1377, -1364, -1325, -1248, -1121, -932, -669?\n\"Answer: 2*w**3 - 5*w**2 - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (36\/27 - 1) + (-1)\/(-3). Is 0.405 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 17 = -20*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + -0.6. Suppose -28*b + 50 = 22*b. Let s be (-22)\/(-70) - (-4)\/14. Put s, b, p in descending order.\nAnswer: b, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 57, 137, 239, 357, 485?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2281 - -2281.1. Which is the closest to 0.5?  (a) -5  (b) -1\/3  (c) -4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 3*w**2 - 7*w - 3. Let m be f(-5). Let d = -441 + 438. Let k be ((-28)\/d)\/(m\/(-27)). Solve h = 3*o, 4*h = -5*o + h + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1953215.46 - -103.87?\nAnswer: -1953111.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 626, 27, -470, -859, -1134, -1289, -1318?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -j + 9, 2*c - 4*j - 9 = 5. Find the second derivative of -2*u**c - 6*u**5 + u + 5*u**5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 18751*s**3 + 2*s**2 - 3*s - 6. Let k be (1 + 0)*-6*8\/24. Let n be p(k). Round n to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56 + -63. Let u(p) = -2*p**3 - 10*p**2 + 4*p + 4. What are the prime factors of u(a)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5616692?\nAnswer: 2, 23, 61051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -x - 4, 26*r - 28*r = x - 1 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -113, -236, -437, -734?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8932 = 564*n - 794 + 2014 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - g - 44 + 0 + 2*g.\nAnswer: g - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 298a871?\nAnswer: 298a875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1787813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 4\/9, -181\/5, 0.09?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*b = 2*b + 3, 3*b = -5*w + 15. Let i(m) = 0*m - w - 2*m + 5. Let f be i(3). Put 5, 3, f in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1063938, 1063944, 1063954, 1063974, 1064010, 1064068, 1064154, 1064274?\nAnswer: 1064434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 42 = 4*h, h + 4 = -h + 4*u. Suppose 5*b + 2 = -h. List the prime factors of 3*b*3\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 4*c + 471 - 596 = 0, -28 = -4*d + c + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 667690 and 4945.\nAnswer: 28710670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*w - 29082 = 0, -n - 4129 - 3152 = 4*w. Calculate the common denominator of 47\/4 and n\/1260 + (-6)\/(-27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ewyywmnweezwwyzewwye?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.4 - -10.6. Let s = t - 27. Let o = 12.9 + s. Sort -3, -0.06, o in descending order.\nAnswer: -0.06, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 864707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 8c (base 14) to base 6\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*b = 236*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 29 - 1311103?\nAnswer: -1311074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -111181000 to the nearest 100000.\nAnswer: -111200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84116867, -84116868, -84116869, -84116870, -84116871, -84116872?\nAnswer: -84116873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -9*l**2 - 5*l - 5. Let s(v) = -10*v**2 - 6*v - 6. Calculate -6*s(n) + 7*x(n).\nAnswer: -3*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1606 is divided by 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149, -142, -133, -122, -109?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19367 is divided by 841?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 40*l - 155. Determine b(12).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-111)\/(-74))\/(15\/100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142104480?\nAnswer: 2, 3, 5, 7, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 2  (c) -0.5  (d) 42  (e) 211  (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -214 divided by -1118\nAnswer: 107\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**2 + 11*i - 1. Let r(g) = -4*g**2 - 12*g + 3. Let h(z) = 3*k(z) + 2*r(z). Determine h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-19)\/8 - -9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 9*n = 7*n - 5, -b - 4*n + 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 - ((-3 - 0) + -1). Suppose 0 = -y*t - 5*t + 45. Solve -3*k - 4*h - 2 - t = 0, -4*k - 21 = -h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, b: 3}. Give prob of sequence bh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 14*g - 157. Let z(k) = 7*k - 94. Give 4*q(c) - 9*z(c).\nAnswer: -7*c + 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -54 - -115. Suppose 55 - i = -3*d. Solve 15 = -d*q - 5*c, -2*q = 3*c - c + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -4*y + 41. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 - ((-21)\/(-20) + -2) and 113\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8451353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 52*j**3 - 1. Let p(v) = -v**3 - 5*v**2 - 5*v - 3. Let z be p(-4). Calculate the remainder when r(z) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2476057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-95)\/(-38)*6\/(-15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*l + 61*l + 85*l + 56*l - 160*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b - 44*b**2 + 27*b**2 + 16*b**2. Let k(g) = 8*g**2 - 5*g. Determine -15*h(u) - 3*k(u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 6*y**2 + y**2 - 13*y + 0*y**3 - 8 + y**3 - 2*y. Is 20 a factor of u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(7 - -1))\/(32\/(-256)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3224 divided by 3\nAnswer: 3224\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (25\/3)\/(15\/225). Let o = 95 - 179. Let l = r + o. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.5 - -4.9. What is the closest to 1 in u, 20, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w - 40656 = 11*w - 35*w. Is w a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/21)\/((-2)\/(-7)). Suppose 18 = j*y - 5*y. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 AM and 9:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1978870 is divided by 1978620.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 32301 (base 4) to base 11\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -740448, -740850, -741250, -741648, -742044, -742438?\n\"Answer: u**2 - 405*u - 740044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2 + 228324*a - 13032962244 = 0 for a.\nAnswer: 114162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -76, -14, -3.7, -10.5 in descending order.\nAnswer: -3\/4, -3.7, -10.5, -14, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40*2*38*(-195)\/(-12350)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 3)*(0 - 1 + 0)*(4*y - 6*y + 3*y) in the form f + z*y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of 0*i**3 - i**2 + 1\/5*i**5 - 3 + 0*i + 0*i**4. Find the second derivative of a(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 7*g - 16. Let v be y(-9). Suppose -4*r = v*a + 15 - 5, r - 8 = -4*a. Solve a = -4*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zizzziziizzlzzizli. What is prob of picking 1 i and 1 z?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32037, 32039, 32043, 32049, 32057?\nAnswer: 32067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2 + 120*f - 333.\nAnswer: -3*(f - 37)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/13, -18517, 300?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.65272 + 0.64882. Let r = q + 0.0039. What is the biggest value in r, 13, 2\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4*f**3 - 16*f**2 + 3*f - 45. What is the tens digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/7 - 3770*h**2\/7 - 1076*h.\nAnswer: -2*h*(h + 2)*(h + 1883)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*q**3 + 10 - 10 - 9*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p*r**4 + 754*p*r**2 - 2*p - 420*r**4 wrt r?\nAnswer: 48*p*r - 10080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4414231*j**3 + 19*j**2 + 71373.\nAnswer: -26485386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 6:56 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1831751272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 4:22 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -643 and 477.\nAnswer: -306711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 - 32. Let u(t) = 3*t**2 + 4*t + 3. Let p be u(l). Let f be 2\/p - 1806006\/21. Round f to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -366210*l**3*r**3 - 2*l**3*r**2 - l**3 - 2*l*r**3 + 14651*l + 2*r wrt r.\nAnswer: -2197260*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 15022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**3\/7 - 268815*k**2\/7 + 537639*k\/7 - 38403.\nAnswer: -3*(k - 1)**2*(k + 89607)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6000777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*k - 2 + 2 - 13 + 16*k wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, x: 3, t: 1, s: 1, c: 1, l: 1}. What is prob of picking 3 z and 1 t?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 116, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 340 - 340 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, r: 2, p: 2, a: 5, o: 2}. What is prob of picking 1 p and 2 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 130574 (base 10) in base 5?\nAnswer: 13134244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.3038 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12984101 or -12984103?\nAnswer: -12984101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1395793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6163.7397 + -6512.722. Let t = y + 349. What is t rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -14*t**3 - 3*t**2 + 9*t + 35. Is k(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 0.21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2818*g - 14091. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 403\/260 + (-209)\/55\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 1573*k - 8. Let a(s) = 4654*s - 23. Determine 6*a(y) - 17*j(y).\nAnswer: 1183*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jdmmjumjdfddummjjdj.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262*r + 82*r - 9814884 = -962732. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 3*u - 6. Let q be f(6). Suppose t - 8 - q = 0. Suppose -d + t = 4*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*7*(-6)\/(-18). Suppose t - 13 = -l. Suppose 17 = 2*b - 13. Solve 0 = -4*a - l*z + 5*z - b, 6 = 3*a - 5*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 2*k - 3 + (97 + 124 - 308)*(-34*k - 29*k + 24*k) to d*k + w and give d.\nAnswer: 3391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00073138816 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6128*g**4 + 5*g**2 - 494.\nAnswer: 147072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2095)\/300 - 16\/10 and 85\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 402164?\nAnswer: 2, 7, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1666 - 1664. Sort -2, -7, d in decreasing order.\nAnswer: d, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14\/42)\/((-5)\/(-3))*5. Calculate the greatest common divisor of p and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 574882 is divided by 2017.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.6 + -0.4. Sort -3, -2\/31, g.\nAnswer: -3, g, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6967 + -4492. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 8*m**2 - 3*m + 1\/3 - 16\/3*m**3 = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 35919 and 40368.9.\nAnswer: 76287.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 + 3. Let q = 7 + -6.97. Let a = q - 0.03. What is the third smallest value in a, c, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 1)*(309*a**3 + 239*a**3 - 65*a**2 - 489*a**3) as d*a**3 + w + l*a + g*a**2 and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 2*q = 8, p - 444*q - 64 = -428*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 11000111?\nAnswer: -11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370 is divided by 79.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -12. Suppose 0 = 5*b - 15*c + 16*c - 25, -2*b + c + 10 = 0. What is the least common multiple of b and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f - 7 - 5, 9*b - 2*f = -2*b + 6*b - 176 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 34, 1, -3, 4, -4, -496 in ascending order.\nAnswer: -496, -4, -3, -1, 1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-924)\/(-36) + -8 - 11)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 217 and 1.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, o: 5}. What is prob of picking 2 r and 2 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -109*u**6\/4 + 209*u**4\/24 + u**3\/2 + 159*u**2 + 2*u. What is the second derivative of v(m) wrt m?\nAnswer: -19620*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -212757490*f**2 - 385116439 wrt f.\nAnswer: -425514980*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 209790 and 2403?\nAnswer: 18671310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33939 * -22.\nAnswer: -746658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 7:23 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*t - 1005 + 549 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -3*c, 2*c - 29 = -5*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -10*z + 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 17009*z**2 + 17009*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (702 - 139 + 348)*(0*m**5 + 5*m**5 - 3*m**5).\nAnswer: 1822*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*s + 58 = -133, -5*r - 4*s = -395. Suppose 0 = -x + 3*l + 32, -4*x + r = -0*l + 3*l. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -11*w**3\/6 - 5*w**2\/2 - 452*w. Let z(p) = -5*p - 2. Determine 6*a(h) - 15*z(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.027 times 233\nAnswer: -6.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 434 and 0.1?\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0 = -9, 17 = 2*p + 5*a. Suppose -4 = 5*l + 26. Let b = l + 11. Is b at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 22 = -3. Let w(c) = -41 - h*c - 8*c + 7*c - 32*c. What is the tens digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeuueeueuuuueeuu. What is prob of picking 4 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u - 7*u - u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 69887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -20024, -20161, -20376, -20663, -21016, -21429?\n\"Answer: q**3 - 45*q**2 - 9*q - 19971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -0.682, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 56\/3 and -23\/1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*v**4 + 2*v**2 - 605 + 298 + 301)*((-1 + 5 - 2)*(-1 - 1 + 0) + 1 - 1 - 2 + (2 - 1 - 2)*(3 - 4 + 0)) as f*v + r*v**2 + d + p*v**4 + n*v**3 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 5, g + 2*g = -5*y + 7. Put -3, -5, g, 2 in increasing order.\nAnswer: -5, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318 is divided by (8\/28 - 1004\/(-14)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 3:13 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277 is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4*y = 58, y - 172 = -9*n + 4*n. Suppose -3*i + n = 3*k + k, -5*k + 30 = i. Find the second derivative of 7*w - 3*w**5 + 0*w**i - 5*w**5 wrt w.\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1329 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 6*m - 2. Let i(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - n**2\/2 + 17*n. Let t(s) = 6*f(s) - 5*i(s). Calculate t(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -5, 4, 0, -19, -121 in descending order.\nAnswer: 4, 1, 0, -2, -5, -19, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 8*u**2 + 11*u + 14. Let b be x(-11). Let p = -228 + b. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-6)*-1*2 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 17*g - 32. Let q be (-11)\/1 + (6 - 10). Let z be a(q). Is z > -5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**5 + k - k + (28*k**2 + 17*k**2 - 10*k**2)*(0*k**3 + 2*k**3 + 0*k**3).\nAnswer: 67*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*f + 213*f - 87*f = 0. Suppose -5*u = y - 4 + 15, 3*y - 9 = -u. Which is the fourth smallest value?  (a) u  (b) 0.2  (c) -4  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, 15.\nAnswer: 0, 0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/370008 and -127\/1296.\nAnswer: 740016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 11 = 3*o. Let n(l) = 9*l**2 - 7*l**2 + l**2 + 0*l**o. Let i(d) = -4*d. Give i(n(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3186 and 341138?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, m: 1, z: 5, b: 3, r: 2, i: 3}. What is prob of sequence bmri?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-17 - 3 - -19) - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 48 in -6, 18229, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-90) + (-44)\/252?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -7*(8\/14 + (-1701)\/147) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10060\/503*1\/(-2)*(855\/18)\/19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (86*h + 68*h - 187*h)*(2*h - h - 6*h)*(1 - 2*h - 1).\nAnswer: -330*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 162, 14, 7, 2 in decreasing order.\nAnswer: 162, 14, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) -7  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 272.1*-483821\nAnswer: -131647694.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4913 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 9:43 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by 9399545.\nAnswer: 26\/9399545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1467837047?\nAnswer: 1549, 947603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 274010993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8*(-12 - (-22 + 11)). What is the nearest to -2\/5 in n, -4, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36360 (base 7) in base 10?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -15*t**2\/2 + 3*t - 4. Let r(f) = 4*f - 1. Let m(i) = -4*n(i) - 18*r(i). Does 14 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = 17*g - 46 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 270016038 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 44770 divided by -3\nAnswer: -44770\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(1 - 34\/(-6)). Suppose 16 = 2*w + 5*q, 9 + 11 = 4*w + 4*q. Solve -8*o + w*o = -4*b + c, 5*b = -o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 7\/12  (b) -2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 4731268920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s. Let c(o) = -63224*o**2 - 65005*o**2 + 130131*o**2. What is c(k(n))?\nAnswer: 7608*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 20*o + 16. Let b(g) = -4*g - 3. Let v be 3\/(-5) - 318\/(-30). Let p(u) = -6*u - 2. Let q be p(-3). Let w be (v\/(-5))\/(2\/q). Calculate w*b(f) - 3*x(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.196348 from 0.94.\nAnswer: 2.136348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 68 - 208. What is the lowest common multiple of t and (1 - -2) + 30 + (2 - 21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 * -17045\nAnswer: 170450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 90 + -90. Solve -2*c + u = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -144 smaller than -45775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.0067 - -29379.5\nAnswer: 29379.4933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*u = -8*u + 11129, -j - 2*u + 2776 = 0. Let t = j - 19. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -3*l**2\/5 + 150987*l\/5 = 0.\nAnswer: 0, 50329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 4*a - 14*a. Let z(b) = -b**2 - 2*b - 1. Determine z(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 2:56 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/31050 and 68\/69363975?\nAnswer: 1248551550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4047 times 5?\nAnswer: -20235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -52*d - 313. Let t be g(-6). Let r = 980\/9 - 109. Which is the closest to r?  (a) t  (b) -0.4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*k - 439, -2*k - 15 = k. List the prime factors of u.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100011001100010 (base 2) in base 16?\nAnswer: -4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -260*c. Let w(p) = 30*p**2 + 30*p**2 + 27*p**2 - 84*p**2. Give b(w(k)).\nAnswer: -780*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -825*x. Let f(c) be the third derivative of -c**4\/24 + 2010*c**2. What is f(s(p))?\nAnswer: 825*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74553?\nAnswer: 3, 24851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 1576*y + 1504819. What is n(-670)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 55 = 9. Let l = 37 - h. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 1 = -5*p + 10, 0 = -p - 4*o - 2. Let a(s) = 2*s**2 - 5*s + 2. Let j be a(p). Let l(u) = -2 - 3 + 5 + u - 3. What is l(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3142 - -477?\nAnswer: -2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 30999293?\nAnswer: 92997879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34388, -68773, -103158, -137543, -171928, -206313?\nAnswer: -240698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 7*p + 13. Let k be y(7). Suppose -k*g + 12*g - 1 = 0. Let x = 4.7 + -0.7. Sort 1\/4, g, x in ascending order.\nAnswer: g, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*x - 2*u, -15 = -3*x - 4*u - 4. Let r be 10\/3 + (-20)\/(-30). Let l(j) = -2*j - 3*j - 4*j + r*j. Calculate l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 2:58 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 307177693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -916 + 547. Let c = -297 - z. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13571731 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38.5 + -6.5. Let t = m - 31.5. Let p = 1 + -1. What is the nearest to p in t, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 19*x**2 + 3*x - 2. Let w = 16 + -15. Calculate the lowest common multiple of 6 and a(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/2)\/(3\/36). Suppose 3*k = -i - 2*i - 9, -3*i + d = -2*k. Sort i, -3, 1 in decreasing order.\nAnswer: 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 10*o**2 - 17*o - 21. What is the hundreds digit of z(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8147.\nAnswer: 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 3*x - 2*x)*(-2*x + 2*x + x) + 2*x**2 - 1 - x**2 + 2.\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 815*s + 17998 = 36743 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7 or 5539?\nAnswer: 5539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1804906*q**2 + 10*q + 17817783?\nAnswer: 3609812*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 340345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(-1*sqrt(3)))\/((sqrt(3) - sqrt(15)\/(1*sqrt(5))) + sqrt(3)) + -4.\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -132*z + 127*z + 30. Let w be ((-4)\/(-3))\/(4\/6). Solve -4*m + 21 = -3*l, l - 9 = w*m - z*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -5*i + 15. Let w = 7927 + -7926. What is the greatest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -21  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 3*h + 6. Let w be l(4). Let a(m) = -w + 10 + m**2. Let f(x) = -12*x - 2. Let s(p) = 325*p + 55. Let v(d) = -55*f(d) - 2*s(d). What is v(a(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/13 + 1)\/(4\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2530590 and 670.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 5*x**2 - x + 1. Let f be r(5). Let n = -0.2 - -0.4. Which is the smallest value?  (a) n  (b) -3\/2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72\/4*(-792)\/(-1782) + (-82)\/12\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 - -0.263. Let z = -2.353 + r. Let o = -2\/121 + 256\/847. What is the nearest to z in o, 0.3, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l - l**2 + 0*l)*((-4*l + 0*l + 3*l)*(-403 + 276 - 484) - 2*l + 0 - 2 + 0) to g*l**2 + j + a*l**3 + z*l and give a.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56, -60, -66, -74?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37 + 53. Suppose x - f = 10. Let b = 26 + -12. What is the remainder when x is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from gghgghgg.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-5) - (-13)\/(390\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 31  (b) -2  (c) 1241.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-43)\/(-4) + -4)*12 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/(-4)*(-8)\/(-10). Suppose -l*p + 6*w - 12 = 4*w, p = -w. What is the lowest common multiple of 110\/25 + p\/5 and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 6. Determine x(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-33)\/(-2) - (81\/(-18) - -5). Solve s*j + 92 = 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*o + 12*o = 382525. What is the greatest common divisor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 2, -4, -380, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 666102226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u + 2. Let s be l(-7). Let w = 430 + -436. Which is the third biggest value?  (a) w  (b) s  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.145 * -1\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 - -15. Let w be (-1 + a - 3)*-8. Let o = -5 - -11. Solve -2*r - w = o*p - p, -p = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + x - 3 + 7*x.\nAnswer: 5*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 4*v - 9*v + 25 = 0, 4*v - 10 = -3*k. Solve -2*s + k = 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23451663371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -7*n + 1. Let p = -29 + 100. Let h = -51 + p. Let w = -19 + h. Give q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 10 = -x. Let g = x - -3. Solve p - 4 = -g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1. Suppose 3*t = 2*t + 4*v - 10, g = t + 3*v - 11. Let z(k) = 3*k - 6. Let y be z(3). Solve 0 = 2*x - 3*d - y, -6 = t*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-28)*(64\/(-18))\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.443229 * -7.2\nAnswer: -3.1912488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -14*r + 8. Determine z(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 4\/(-140))\/(66*(-151)\/(-9060))\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -34. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42 + -14. Let a(p) = -18*p - 2. Let d be a(-4). What is the highest common factor of g and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248*o**2\/3 - 20763220*o + 1004672\/3 = 0. What is o?\nAnswer: -251168, 1\/62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 61 = -58. Let v(p) = -63*p**3 + 2*p**2 - 4*p + 3. Let l be v(y). Let a = -59 - l. Solve -2*x = a*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 4*g + 173. Let q = g + 51. What is the derivative of -15 - 23*a + 29*a - 14 + q*a wrt a?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3354910 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3))*-4*-5 + (1 + sqrt(2))*2 + ((sqrt(40)\/sqrt(5))**2 - sqrt(2)).\nAnswer: 10 + 61*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - p = -3, -11*q + 12 = -9*q + 5*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380*m = -1793*m - 2826 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1009879*c**3 - 1614999*c - 1.\nAnswer: -6059274*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 b when four letters picked without replacement from iiiibibiiiiii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 448206 and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 34. Suppose -4*k = -j - 15. Let r = k + -7. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*h - 4*a = -51*h - 48, 4*h - 4*a + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 3*w = 8. Let m be w - (-3 - (-1 - -3)). Suppose -3*j - 169992 = -g + j, m*g - j = 509998. What is g rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.43148 + -0.06852. Which is the nearest to f?  (a) 1  (b) 103  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 603403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 20*w - 14. Let u be g(5). Suppose -54 = -13*p + u. Solve 0 = 4*j - 4*f - 20, -p*j - f = -2*j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/4 + (-805)\/630 + 2\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 + 77. Suppose 8*y = m*w + 5*y + 6, 0 = -y + 4. Suppose 43 = w*s + 1. Calculate the remainder when 60 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13239, 26534, 39895, 53322, 66815, 80374?\nAnswer: 93999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*v**2 + 144*v - 81.\nAnswer: -3*(v - 9)*(5*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 91*u**4 - u**3 - 572 + 37*u**4 + 575 to b*u**2 + n*u**3 + x + p*u**4 + f*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-7))\/((-36)\/21)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2068 and 10?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1478 - 1452. What is the highest common divisor of 221 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 7:11 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 2*i = 8, -5*o - 17*i = 28 - 108 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/4)*t\/t**(4\/17))\/(t**(-1)\/t*t)**6 assuming t is positive.\nAnswer: t**(477\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -552.0116 - -1?\nAnswer: -551.0116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42\/11 - 51\/22. Which is the biggest value?  (a) 0.2  (b) z  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -11*f**6\/120 - f**5\/20 + f**4\/8 - f**3\/3 - f**2. Is i(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 443488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sskkks. Give prob of picking 1 s and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0086373 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r - 8. Let l be h(5). Let c be l - (33\/27 + 1). Is c greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 1330430?\nAnswer: 1330432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*a + 142*a + 6*k + 35 + 50 = 0, -4*k - 248 + 191 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 13*j**2 - 3. Let x(s) = 4*s**2. What is a(x(z))?\nAnswer: 208*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -349 and 5072?\nAnswer: -1770128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*h - 176 - 28 = 0. Calculate the remainder when 11 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**2 + 20*d - 17. Is s(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -10 + 344\/28 + (-4)\/14. Solve -13 = n*o - 4*b - 3, 5*o + 2*b - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 102172918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 67620 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*q + 137 + 151 = 0. Solve 9 = -3*y + q*v, 33*y + 2*v + 22 = 28*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -5*a**2. Let y(u) = 18*u**2 + 7. Determine y(p(c)).\nAnswer: 450*c**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 less than or equal to 3740\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (116\/(-725))\/(((-2)\/(-2))\/(15\/6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/30*(-28140)\/(-469)*1\/(-14)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3066 and -28.\nAnswer: 85848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.19 - 15. Let q = 0.51 + s. Which is the nearest to -4?  (a) q  (b) 1\/6  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-338712)\/(-588) + (-50)\/1225 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47798347, 47798351, 47798357, 47798365, 47798375, 47798387?\nAnswer: 47798401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 14) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2810657*d + 2810657*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -13*n - 17. Let y be l(-5). Suppose 20*q - y = 14*q. Solve 7*w + q = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1258*y**2 - y - 515.\nAnswer: -2516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22307149157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3135, -9720, -20701, -36084, -55875?\nAnswer: -80080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 923970 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2440*w + t - 10 = 2445*w, 3*w + 5*t = -0*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.4  (b) 445  (c) 1\/5  (d) -27  (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 2922.\nAnswer: 8766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*t - 5716 = 727*t + 17937 - 3709 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 162250 and 2816.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 216 - 214. Let q = -1 + 7. Let t be (q\/5)\/((-3)\/(-10)). Solve v*k + 4*u - 16 = 0, -2*k + t*k + 2*u - 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30327 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 785, 1\/8, -0.3 in ascending order.\nAnswer: -0.3, 1\/8, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 2 + 3)*(7 + 10 + 1) + 1 - 3 + 3 + 1 - 5 + 2 + (-2 + 3 + 1)*(1 + 0 + 1) + 2 - 3 + 3 + 1 + 0 - 3)*(379*n - 379*n + 7*n**3).\nAnswer: 273*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 - 17. Let z be 2\/(-10) + (-1314)\/l. Let o = -12 - z. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)*y**(2\/15))\/(y*y**(2\/23)*y**4) assuming y is positive.\nAnswer: y**(-3434\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 114 and 3984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4 = 4*w + 6, 4*s = -5*w + 7. Let v be (-24)\/28 - (120\/56 + -7). Solve o - s*o + v = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -40937726?\nAnswer: -40937725.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -28 + 24 + 11*j + 2*j**2 + j**2. Does 17 divide f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22136.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 6 + (-14 - (7 + -1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 5)*(-17 + 19 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*9\/(-90) + (-2)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1\/3))\/d)**(-49)\/((d\/d**(1\/3))\/(d\/d**(2\/7))) assuming d is positive.\nAnswer: d**(344\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of n**5\/20 - n**4\/6 - n**3\/3 - 3*n**2\/2 + 4*n. Let w be t(3). Suppose 0 = -w*g + g - 4. Solve y + g = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1295 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k + 31 + 6 + k + k to j*k + w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 5215829 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 - -61. Solve 3*w + 3*w - 24 = j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 17*s**2 + s + 1. Let u(v) = 86*v**2 - 2*v - 11. Calculate g(z) + u(z).\nAnswer: 103*z**2 - z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-2) + -4)*(-20)\/345.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32052005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**5 + 55*i**4 - 75*i**3 - 155*i**2 + 290*i - 120 = 0 for i.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u - 12 + 12*u - 9 - 4 + 6 to the form y + t*u and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/2 - 941*b + 885481\/2.\nAnswer: (b - 941)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/1469212 and -31\/404?\nAnswer: 148390412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3883453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -281, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 321519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 410728042 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43\/2 + 21. Let w = -28.18 + 0.28. Let q = w + 23.9. Which is the second biggest value?  (a) o  (b) q  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.63 - 0.42. Let o = n + -2.91. Let x = -3 - o. Which is the biggest value?  (a) 4  (b) -1\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 286724770 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.407566865 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/160 and -121\/24.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((312\/1274)\/(((-114)\/6)\/(-266)))\/((-4)\/(-70))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(68) + 0 + sqrt(68)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 2*w**2 - 2*w - 1. Suppose -4*t = -0*m - 2*m - 4, -20 = 5*m. Let o be s(t). Factor 0*h**2 + 1\/2*h + 1\/2*h**5 + o - h**3 + 0*h**4.\nAnswer: h*(h - 1)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 71 + 344. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - u**2 + u - 1. Let l(m) = m**3 + 2*m**2 - m + 2. Let q(g) = -l(g) - o(g). Let j(c) = -c**3 - 1. What is -3*j(z) + 2*q(z)?\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 b, and 1 h when three letters picked without replacement from {r: 1, h: 1, m: 1, y: 2, o: 1, b: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, -0.1, -5, 4, -3250, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -17*b - 1. Let a be q(-1). Let s be 6*2*20\/a. Suppose -2*w + 39 - 33 = 0. What is the highest common factor of s and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of 629*y**7\/21 + y**4\/12 + 66*y**3 + 11*y**2\/2 + 4*y - 1149. Find the second derivative of w(v) wrt v.\nAnswer: 25160*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -97*n - 90. Let f(x) = -95*x - 89. Let u(a) = a**3 + 13*a**2 + 2*a + 22. Let k be u(-13). Let j(p) = k*f(p) + 3*y(p). Differentiate j(m) wrt m.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (3 - (0 - -1) - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5f39 (base 16) in base 2?\nAnswer: 101111100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.1423968ug?\nAnswer: 0.0000001423968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 6:05 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 2\/3  (c) -5  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -3, 5, -4 in descending order.\nAnswer: 5, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/2370 and 53\/4311.\nAnswer: 3405690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 1:40 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**3*y + 117*v**3 + 2*v**2*y + 21*v*y - v wrt v?\nAnswer: 12*v*y + 702*v + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -9217  (b) 3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 - 23320?\nAnswer: -23302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8122729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 5*d = -45, -80 = 4*w + 5*d - 155 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**4*(c*c**(-3\/7))\/c*c**6\/(c\/c**(1\/7))*(c*c**(-1\/2))\/c**(1\/5)*(c*c*((c**(1\/3)\/c)\/c*c*c)\/c*c)**26 assuming c is positive.\nAnswer: c**(14633\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhvhhhhvhvh. What is prob of sequence hhhh?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2  (b) -0.2  (c) -5  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68330235?\nAnswer: 3, 5, 29, 157081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k**2. Let s(h) = -12*h**2 - 14*h. Determine s(i(f)).\nAnswer: -108*f**4 + 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -2*w**5\/3 - 3632*w**4\/3 + 7280*w**3\/3 + 14528*w**2\/3 - 9696*w = 0.\nAnswer: -1818, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 - 932*u - 3664.\nAnswer: -4*(u + 4)*(u + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -43 - -43. Suppose f = 2*a + 4 - 52. Let j(c) = -7*c**2 - 9 - 42*c**3 + 2*c + a*c**3 + 19*c**3 - 8*c. What is j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13.23 + 1.23. Which is the fourth biggest value?  (a) -2\/15  (b) p  (c) -0.2  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -48366, -193765, -436088, -775335?\n\"Answer: -48462*r**2 - 13*r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + -1)\/((-27)\/2601) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + 4. Suppose -4 = 3*g + 2*a, 4*a + q = -2*g - 1. Let d(m) = -2*m**2 + 2*m**g - m**2. Let p(n) = -2*n. Determine p(d(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1610 (base 9) to base 6.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 11. What is the third smallest value in 0.4, c, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -27*c - 3. Let r be 1\/(3\/6 + -1). Let w be p(r). Let v = w - 31. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3711959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-1))\/(-1) - (2 - 0). Let v be (-6)\/(-15)*((-6)\/4 + d). Let w = -0.047 - -0.247. What is the nearest to 1 in w, -12, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 323 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2.99  (b) -0.4  (c) -1  (d) 6  (e) -2\/15  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*(h**(2\/27)*h)\/h*h))\/(h*h*h\/(h*h**(1\/2)*h)*h*h) assuming h is positive.\nAnswer: h**(-193\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2105, -4215, -6323, -8429, -10533, -12635?\nAnswer: -14735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -78\/7 or 75.1?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - x + x)*(-4 + 4 + x)*(-254 - 1213 - 850 + 304).\nAnswer: -2013*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003454 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 83 = 5*i - 59, -3*l = 45*i + 186 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -664, 8, 5 in increasing order.\nAnswer: -664, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 5:51 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -8*j**2 - 4*j. Let a(g) = -4*g**2 - 2*g. Give -11*a(x) + 6*s(x).\nAnswer: -4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**5\/60 + t**4\/12 - 5*t**3\/6 - 61*t**2\/2 - 28*t. Let d(m) be the first derivative of f(m). What is d(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -30\/19, 21, -2, -150 in descending order.\nAnswer: 21, -1\/7, -30\/19, -2, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -10*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.9482392+4\nAnswer: 4.9482392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 9) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -244 + 965. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2685 divided by 179\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1019988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -6465 less than -6466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*h - 8 - 76 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 - -1. Let p be (-1)\/(2\/(-6)*1). Suppose -1 - 2 = p*k. Which is the nearest to k?  (a) 0.3  (b) j  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from fhplsfsnllnsfsp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 - 193 = -0*l - l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20495366 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y - 112. What is v(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8400 - -8557. What is the remainder when j is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -18*b - 6. Let f be ((-7)\/2)\/(3\/6). Let i be y(f). Suppose 0 = -n + 3*m + m + 15, m + 30 = 2*n. Calculate the highest common factor of n and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from {r: 1, u: 5, v: 1, l: 3, z: 1, f: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*a - 28 = 0, -3*h + 3 = 4*a + 14. Calculate the least common multiple of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -fb - 1b1?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 4*f**2 + 4*f + 3. Let g be a(5). Let d be g\/(1*(4 - -3)). Suppose 1 = 2*m - m. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -5*n**4\/4 - 370*n**3\/3 - 6845*n**2\/2 + 829. Factor s(r).\nAnswer: -5*r*(r + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/((-228096)\/160)*22*(-1)\/((-165)\/(-9))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -33 bigger than -3389\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1919 to the nearest 10.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/21080696 and 71\/926624.\nAnswer: 84322784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -17*w + 18*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -193.\nAnswer: -9\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5853 (base 16) to base 11.\nAnswer: -15a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12, -116, -390, -918, -1784, -3072?\n\"Answer: -14*i**3 - i**2 - 3*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-1*(-231)\/22)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009252 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 919, 7400, 25001, 59284, 115811, 200144?\n\"Answer: 927*k**3 - 2*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 8*x - 2*x**2 + 2 + 0*x + 6*x**2. Let p be q(-6). Let g = -13 - p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - -4. Let u = 11299 + -11298.8. Which is the closest to 0.2?  (a) 2\/3  (b) u  (c) q  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2 + 24915525*d - 49831062 = 0.\nAnswer: -8305177, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 35398857 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6364, 6323, 6242, 6115, 5936, 5699, 5398, 5027?\nAnswer: 4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 439579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1497*t + 259*t - 75518 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -94653289 - -0.02.\nAnswer: -94653288.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 1371*y. Let c(k) be the third derivative of k**5\/60 - 2065*k**2. Determine c(w(b)).\nAnswer: 1879641*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -5*l - 22, -2*l - 2*l - 4*p = 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 26 - 8. Suppose -18*a = -h*a - 77. List the prime factors of a.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 - 0.33. Let t = 52.14 + -50.14. Which is the third smallest value?  (a) t  (b) g  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -736957, -736901, -736845?\n\"Answer: 56*s - 737013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 790*k**2 - k + 1. Let v = -16 - -7. Let h be i(v). Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1\/2, 0, 6318, -2\/5, 3 in decreasing order.\nAnswer: 6318, 3, 0, -0.1, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -58095 - -522901\/9. Find m, given that -2\/9*m**3 + 26\/9*m**2 + 22\/9 - k*m = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 243*f - 2407*f**3 + 7404*f**3 - 53*f**2 - 239*f wrt f.\nAnswer: 29982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5250.79776 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7258 + 631 = 23*n. Let k = 511 - n. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -0.1. Let b = h - -0.9. Let m = -81\/104 + 5\/8. What is the third smallest value in b, -5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-64466.01\nAnswer: -25786.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (112 + -117 + (2 - 1) + -12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*c**3*j**3 + 83407*c**3 + 19047*c*j**3 wrt j?\nAnswer: -6*c**3*j**2 + 57141*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70\/14)\/((-20)\/(-4))*2\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -9. What is the units digit of (-102)\/(-14) + d\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5*h - 12. Let v(d) be the second derivative of 2*d + 1\/6*d**4 + 0 + d**2 - 1\/2*d**3. Let t(j) = j**2 - j. What is h*t(a) - v(a)?\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 8*z**2 + 4*z + 9. Let r be q(7). Let u be (r\/14)\/((-3)\/14). What is the derivative of -19*j + 19*j + 2 - u + 11*j**4 wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2040 and 480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 5  (b) -2\/3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 1:20 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*m = -67*m - 282*m - 10638 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -323363 = -25*c - 5*o - 323478, -c + 4*o + 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82.9999959 - -83. Round p to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -516795, -1033599, -1550403?\nAnswer: -2067207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20711 and 1529.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3380\/156*18\/(-15). What is the third biggest value in 1, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0562115709 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -155771 - 10?\nAnswer: -156001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 32*k**2 + 13*k + 9. Let x(g) = 16*g**2 + 6*g + 5. Let v(r) = -6*h(r) + 13*x(r). Differentiate v(l) with respect to l.\nAnswer: 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -21583, -1, -0.9, 4, -4, -12\/11?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 378 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/1386*(-637)\/1638*(-3)\/7*-9.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8476 (base 10) to base 4\nAnswer: -2010130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r + 15. Let m be f(-6). Solve z - 20 = 3*i - 8*i, -5*z + 16 = -m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -373  (b) 2\/9  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -8*o**3 - o**2 + 17*o - 30. Calculate z(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1\/56  (c) 0.23  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0094 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + (4 - (-4 - -4)). Let t(b) be the third derivative of b**2 + 0*b + d + 0*b**4 + 1\/60*b**5 + 1\/6*b**3. What is the derivative of t(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22054626 divided by -297.\nAnswer: -74258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 12*f + 6. Let b(o) = -11*o - 5. Let q(x) = 6*b(x) + 5*j(x). Let s(g) be the first derivative of -g**2\/2 - 2. What is s(q(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 120 and 200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32070 = 437*c + 161*c + 471*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4603 - 0.7.\nAnswer: -4603.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d**23\/d)\/d)\/d*d)\/(d\/(d*(d*d**(-5))\/d*d)))\/(d**(-17)\/d)**1 assuming d is positive.\nAnswer: d**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 195\/(-10))\/((-2)\/(-48)). Suppose t = 17*z - 7*z. Suppose -165 - 150 = -3*i. Calculate the highest common factor of i and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.3441588 millilitres?\nAnswer: 0.0003441588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l - 10. Let x = -39 - -25. Let z be g(x). Find the third derivative of 6*c**z - 7*c**4 + 6*c**2 + 3*c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 435 = d. Let y = d - 60. What is the highest common divisor of y and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2. Let o(x) be the second derivative of 0*x**3 - 89\/12*x**4 + 11*x - 4 + 0*x**2. Calculate c(o(k)).\nAnswer: 15842*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 - 2263318*d + 11316540.\nAnswer: 2*(d - 1131654)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**2 - u + 2. Let b(q) = q**3 + 10*q**2 + 10*q - 47. Let m = 12 - 20. Let p be b(m). What is z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1935482158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 410.7291 days?\nAnswer: 9857.4984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 133428 and 500355.\nAnswer: 2001420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 19*y**2 - 2*y - 161. Let d(x) = -20*x**2 + 2*x + 161. Give 7*b(u) + 8*d(u).\nAnswer: -27*u**2 + 2*u + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11 - (4 + -8 + 3). Let j = a - 11. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 128450 = -25*i. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-310)\/28 - -11) + (-898)\/(-28). Put y, 0, -5, 4 in decreasing order.\nAnswer: y, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 252 divide 38566542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29078)\/(-5226))\/217 - (-674)\/78?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 1. Let r(i) = 3*i**2 + 5*i - 3. Let d(l) = 4*l**2 + 3*l - 3. Let x(z) = 4*d(z) - 3*r(z). Determine -3*s(n) + x(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 8:06 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 489 + -17\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 781 a factor of 41450013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.04 and -256490.8989.\nAnswer: -256490.9389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-187)\/(11781\/162))\/((-9)\/441)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 686.76mg to nanograms.\nAnswer: 686760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 136 and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b = -54 + 142 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -x**5\/10 - x**4\/2 - 2*x**3\/3 + 8*x. What is i in c(i) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 4:33 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1788?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 413.3743 years to millennia.\nAnswer: 0.4133743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 1858*n + 37210. Determine t(-20).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/2*-3*((-12)\/2)\/12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -267.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14674089 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 11:24 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -215785 divided by 419.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1122 and 70660.\nAnswer: 7928.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96 and 1024?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 17745, -0.26, -40 in increasing order.\nAnswer: -40, -5, -0.26, 5, 17745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 4:27 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, g: 3}. What is prob of sequence gy?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2565 smaller than -2564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + u**2 + 2)*(2*u - 3*u + 0*u) + (u + u + u)*(7*u**2 + 15*u**2 - 11*u**2) + 36*u**2 - 250*u**3 - 36*u**2 - 25*u**3.\nAnswer: -243*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35538*h**4 + 9*h**2 - 3187288*h wrt h?\nAnswer: -426456*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.3  (b) -0.7  (c) 0.02  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*k**2 - 303*k**2 + 221*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) -3  (b) -0.5  (c) 5  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 3*v**2 + 2*v + 4. Let j = 39 + -51. Let z be (j\/8)\/(2 + (-3)\/2). What is m(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 0)*(2 - 2 + u**5 + (16 - 16 - u)*(-4*u**4 + 5*u**4 - 2*u**4)).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 24 + 7*n**2 + n**2 as k + f*n**2 + c*n and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vvvvnvn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -48.\nAnswer: -48, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z**5 - 1140*z**4 + 1746*z**3 - 879*z**2 + 147*z = 0. Calculate z.\nAnswer: -49, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - o = -15. Does 4 divide (-10)\/o*18*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**5\/11 - 61*y**4\/11 - 34*y**3\/11 + 2074*y**2\/11 + 225*y\/11 - 13725\/11 = 0.\nAnswer: -5, -3, 3, 5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -189, 0.5 in descending order.\nAnswer: 0.5, -24, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 30332426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -216 - -126. Does 14 divide 20\/w - 1660\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14378*m - 115 = -14383*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -107671 or -107646?\nAnswer: -107646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 4*p - 2*g - 2 = 0, 3*p - g = 22. Suppose -c + 17 = -p. Suppose -9 + c = 2*v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2  (b) -2\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.81446 minus 2.5809?\nAnswer: -3.39536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1830?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 - 34.102. Let v = n + 0.049. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 16 = -40. Let x(b) = b**2 - 3*b + 4. Let m be x(3). Solve m*q - 10 - r = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 0*v = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -241.9263 - -242. Let s = g + -0.059. What is s rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2. Suppose 5*s = -5*f + 20, -2*f + 18 - 6 = 3*s. Let t(l) be the third derivative of 0*l + 0*l**3 + l**2 + 1\/15*l**5 + 0 + 0*l**s. Give t(b(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of 2 - 1\/12*t**4 + 1\/3*t**3 + 1\/60*t**6 - 1\/2*t**2 + 0*t - 1\/30*t**5. Let b(s) be the second derivative of j(s). Factor b(l).\nAnswer: 2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1061.1 * 0.13.\nAnswer: 137.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(1 + sqrt(272) + sqrt(272)))**2 - (1 + sqrt(272) + -1)) + (3 + sqrt(272)*1 - ((sqrt(272) - (-1 + sqrt(272))) + sqrt(272) + 0)**2).\nAnswer: 248*sqrt(17) + 17154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12248442 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -45, -4\/7, -7\/6 in descending order.\nAnswer: -4\/7, -7\/6, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f**2 + 4*f - 52. Let i be z(6). Suppose 5*t - i = -68. Calculate the highest common factor of 648 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189 a factor of 101805747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 7*j - 44. Suppose 13*b - 70 = 307. Let s = -16 + b. List the prime factors of c(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 10 - 4 - 8 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 15246 divided by -77?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -36 + 32.8. Let z = s + 3.1. Which is the smallest value?  (a) -1\/3  (b) 0.1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -4*(sqrt(192) + -1))**2.\nAnswer: -576*sqrt(3) + 3153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 384\/3091?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(325) - (-6*(sqrt(325) + -3) + sqrt(325))) + -1)*-2)**2.\nAnswer: -4560*sqrt(13) + 48244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l\/(l**(-1\/2)\/l))\/l))**42\/(l**(-1)*l**(-3)))\/((l**(-2\/7))**(-7\/3))**(3\/16) assuming l is positive.\nAnswer: l**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d - 6. Suppose 3*c - 8*c + 19 = 2*j, 8 = j + 4*c. What is the least common multiple of j and v(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + 157*k**2 + 1362*k - 1073. Calculate l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-35)\/4))\/(8416\/31560)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 3 = -6. Suppose r*p + 20 = 8*p. Solve 5*l + p*a - 25 = -a, 16 = 5*l - 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -4  (c) 3726  (d) -16  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*-11 + 1 + 0. Let m = 17 + c. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 7:08 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 6*k - 3. Suppose 0 = 2*x + 27 - 13. What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46478066 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 81*m**2. Let p(i) be the second derivative of 9*i**4\/4 - 3956*i. Give 6*l(c) - 17*p(c).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 6:25 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-2277)\/(-77) - 2 - 20\/(-35)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - ((-3)\/(-18 - -15) - -33).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**5\/30 - m**4\/12 - 25*m**2 + 13*m + 3. Let y(w) = -w**2 - 2*w. Calculate 3*s(g) - 4*y(g).\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 937332 and 63646.\nAnswer: 10310652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k - 11 = -47 - 52. Sort -3, 0, 6, k, 4 in decreasing order.\nAnswer: 6, 4, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 3, -1, 6, -4, -3 in descending order.\nAnswer: 8, 6, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34479 = 10*c + 34309 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrrww.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 142719 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 857824 divided by -4\nAnswer: -214456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -659 (base 16) to base 9.\nAnswer: -2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**1*i*i\/(i\/i**4) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1737*(-1)\/(-3)*(-4)\/4. Let d = -35 - t. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 158 + -69. Let n = b + -78. Sort n, 2, -1 in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*l + 21*l + 24*l - 33*l - 13*l + 8*l.\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(((g**(1\/53)*g)\/g)\/g))\/(g*g**27\/g))**21 assuming g is positive.\nAnswer: g**(-27846\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -103*f + 41. Let m(q) = -35*q + 14. Let o(a) = -3*g(a) + 8*m(a). Let k(b) = -8*b + 3. Let i(c) = -22*k(c) - 6*o(c). Let y(z) = 242*z. Give y(i(d)).\nAnswer: 484*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -21  (b) 32  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -59.5 * 12.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - -26)\/(0 + 4\/(-66)). What is the remainder when 14\/35 + v\/(-5) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58915010, -117830018, -176745026?\nAnswer: -235660034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -7 + 3. Suppose -287 = -r*y + o, y = 4*o - 0*o + 83. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 34*n - 33*n. Is 36 a factor of (-65)\/(-3)*(4 - (n + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/4737, 0.15, 0?\nAnswer: 2\/4737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124003011647\/4994 - -24830399. Let r = y + 8\/227. Find the common denominator of -49\/44 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/59 in -2, -10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -6. Let p be 264\/(-385) - 2\/n. What is the second smallest value in -0.3, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**5 + 120*a**4 - 2870*a**3 + 34555*a**2 - 207355*a + 497664. Let s(b) = -b**5 - 2*b**3 + b**2 - b. Let t(p) = 2*d(p) + 10*s(p). Factor t(u).\nAnswer: -4*(u - 12)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 244521 (base 6) to base 16.\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 4*t = -363, 2*c - 3*t = -93 + 252. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 26. Suppose 5*z - o*z = 0. Suppose -24*i + 21*i + 330 = z. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19172387?\nAnswer: 13, 19, 77621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40 - -39?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -308 + 307.9999685. Round h to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/((-264)\/4))\/(1\/2)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -10*i + 7. What is k(5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 53*r - 562. Determine o(-63).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 - 45966*c**2 - 252316080*c + 137000634400.\nAnswer: -2*(c - 497)*(c + 11740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 (base 7) in base 10?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1300022330 + 330?\nAnswer: -1300022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/3))**(-2\/13)*(q*q**(-2\/7))\/((q\/(q*q\/((q**5*q)\/q*q)*q*q))\/q))**(-5\/8) assuming q is positive.\nAnswer: q**(1895\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t - 1366 = -1400 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 51\/(-99) + (-2)\/(-6). Let z(t) = t**2 + 4*t + 31. Let i be z(13). Let n be 29\/14 + (-144)\/i. Which is the closest to -1\/4?  (a) 5  (b) w  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -5*l - 0*l + 25, 4*l = -3*s + 19. Suppose 0 = -5*q + 4*a + 96 + 10, 82 = s*q + 2*a. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11241 (base 5) to base 6\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.9 - 14487.67828?\nAnswer: -14505.57828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (1 + -7 + (-6 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and 907.\nAnswer: 906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/8*(0 + 4). Let s = 657 - 658. Which is the third biggest value?  (a) f  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 4*s - 12. Suppose 6 = -16*i + 22*i. Suppose -4*t - i = -37. List the prime factors of h(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/10 - (-1)\/(-1). Let i = 0.93 - 0.13. Let s = 0.7 - i. What is the nearest to s in w, 3\/7, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*a + 25 + 522, 5*f - 919 = -4*a. Calculate the remainder when 431 is divided by f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000262559685 to 7 decimal places.\nAnswer: 0.0002626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/12)\/(-5)*(77 + -73)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.91052 micrograms in tonnes?\nAnswer: 0.00000000000991052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**4\/7 + 2600*d**3\/7 - 80444*d**2 + 40635712*d\/7 = 0. What is d?\nAnswer: 0, 208, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 1047423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 32 = -2*j + 158, -2*t + j = -277. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 1. Let d be z\/(-4)*24\/(-10). Sort -1, 1\/6, 0.5, d.\nAnswer: -1, 1\/6, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a - 2340 = 9532. What is the remainder when a is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/60)\/(6\/4)*48\/(-104).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2*1\/((-5)\/(-550)). Let y(w) = -w**2 - 2*w. Let o(b) = 33*b**2 + 110*b. Let k(t) = n*y(t) + o(t). Let v(i) = 2*i**2. What is k(v(d))?\nAnswer: -88*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n + 4 = -10*n - 4*v, -6*v = 2*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-28)\/(-6)*(-18)\/(-4). Suppose -h - 44 = -3*h - l, l - k = -h. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 747241398.57 - -0.1.\nAnswer: 747241398.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -769663045 - 0.5?\nAnswer: -769663045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116.153 + -116. Let s = h + -0.152921. Round s to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (25\/10)\/(2\/4). Let a(y) = p*y - 66 - 3*y + 66. Let n(f) = -7*f. Determine n(a(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27094 divided by -568.\nAnswer: 13547\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8799971 rounded to the nearest 10000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -203\/760429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(sqrt(24)*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1735*o + 7 = 1736*o, -4*o + 9*o = -2*s + 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/2 + 48*x - 1152.\nAnswer: -(x - 48)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17242 - -17137. Suppose -3 = -3*r - 0. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 61 + -99. Let u be (-1)\/(-1*1\/(-53)). Let p = l - u. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153.9 - -0.35?\nAnswer: 1154.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 16757248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -25787  (b) -0.5  (c) -5\/733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1 + (sqrt(13) + sqrt(91)\/sqrt(7))*5)**2*3.\nAnswer: 60*sqrt(13) + 3901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -25*k - 12. Let d be s(-1). Solve -7*x = -d*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -176, -4, -56.\nAnswer: -176, -56, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, t: 6}. What is prob of picking 2 t and 1 a?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b**3\/2 + 5052*b**2 + 17015136*b + 19102326016 = 0. Calculate b.\nAnswer: -3368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2346 + -2348. Which is the nearest to 1?  (a) -1  (b) q  (c) 0.3  (d) 172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8803388 is divided by 2658.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 137*n**4 + 116*n**3 + 7309*n**2 wrt n.\nAnswer: 3288*n + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*((sqrt(75)*-2*5 - sqrt(75) - sqrt(75))*1 + 0))**2.\nAnswer: -1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3*x**3 + 7*x**2 + 7*x - 3. Let n be r(-3). Let c be 0 - (52\/n + 4\/6). What is the third smallest value in -2, 0.5, c, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-5*sqrt(171)*-6)\/(-3*-3*sqrt(729)).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7905 - 3105 = 800*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/18 and 71\/27682.\nAnswer: 249138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (7 - (-1 + 5 + 10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3701, -7397, -11093, -14789?\nAnswer: -18485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12018451 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x - 6. Let r(k) = k**3 - 8*k**2 + 6*k + 1. Let z be r(7). Let m be t(z). Let g = 519 - 523. What is the second smallest value in g, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39b (base 13) to base 10\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2547712621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-293*u + 294*u - 50 - 75)*(-12*u + 29*u - 10*u - u**2)*(0 - u + 0) to l*u**2 + g*u + i + y*u**3 + k*u**4 and give y.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 + 26 = 33*t. Let b be 14\/18 - 4\/4. Put -0.1, t, b, 1 in decreasing order.\nAnswer: 1, -0.1, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.9 - 30.9. Let w = 2025.3 - 2025. What is the second smallest value in q, -4, 1\/6, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(4\/(-2)) + 2. Let m = c - 11. Let i be 1\/(-2) + 4\/m. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.529 + -0.129. Sort -1\/4, -0.5, a, 0 in descending order.\nAnswer: a, 0, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 9:47 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -r**6 + 5*r**3\/3 + 4. Find the third derivative of j(m) wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhhhfqufhfhuh. What is prob of sequence uuhh?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -57 in increasing order.\nAnswer: -57, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*m - m + m)*(-2*m + 3*m - 3*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.19 - 0.17. Round j to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of b**6\/6 - 35*b**5\/4 + 85*b**4\/6 - 3*b + 568. Suppose z(c) = 0. What is c?\nAnswer: 0, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -41*z**2 + 9*z - 17. Let s(d) = -1703*d**2 + 5 - 1 + 1713*d**2 - 4*d + 2*d. Give -2*f(n) - 9*s(n).\nAnswer: -8*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 158787, 317357, 475927, 634497, 793067, 951637?\n\"Answer: 158570*p + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 8) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12324 + 39614 + 29626 = -837*w for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 + l**2 + 2*l + 22. Let x(y) = y**3 - 5*y**2 + 7. Let z be x(4). Is d(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 9.62?\nAnswer: 3.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -16*m**2 - 1102*m + 143. Let v be j(-69). Suppose 0*b + 16 = 4*b. Suppose -b*r + 5*n - 6 = 0, -v*n + 9 = -2*r + r. Solve -d + r = -4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -113791  (b) 1\/155  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -268 - -394. Let r = h - 122. What is the nearest to 0.2 in r, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.013, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1795576.26 rounded to the nearest 1000?\nAnswer: 1796000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 12*f**2 - 3*f. Let w(x) = 180*x**2 - 44*x. Let s(h) = -88*d(h) + 6*w(h). Let o(g) = -8 + 5*g**2 + 8. Determine 14*o(u) - 3*s(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 590050 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (8\/10)\/(4966\/(-955))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47.1 + -48.1. What is the smallest value in -4, z, 0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 - 29. Suppose 6 = 4*w - 4*s - s, 0 = -g*w + s + 10. Solve -w*m - 3*z = 6 - 0, 5*m = z + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sstl when four letters picked without replacement from {t: 6, p: 2, s: 2, l: 3, u: 6}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(57)\/sqrt(243) - sqrt(133)\/(2*sqrt(7)*-3).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 27039.\nAnswer: -54078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 20) + -16 + (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.087452125 and 0.3.\nAnswer: 0.0262356375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*(0 + 1) - -268. Suppose 2*v - 4*x - c = 0, -x + 148 = v - 6*x. What is the remainder when v is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 345859, -4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + b**2 - 2*b - 1. Let o(l) = 47*l**3 - 5*l**2 - 2*l + 10. Let t(z) = -o(z) - 5*s(z). What is the second derivative of t(g) wrt g?\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/252 and 19\/1332.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 8771?\nAnswer: -876d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x + 1. Let z be j(2). Suppose -3 = -5*d + z. Let v = -3 + 7. Solve -d*o - q + 1 = 4, -v*q - 12 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.7112548+0.15755\nAnswer: 1.8688048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a**2 - 6*a**2 - 1064*a + 3 - 3.\nAnswer: 10*a**2 - 1064*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1052 = 5*w - 193. Round w to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36 or 25\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 2) + (-4 - -10) - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/3)\/u*u*u)**(4\/33)*(u*u*u\/u**3*u*u)\/(u\/(u*u**(-9))*u))**(-7\/9) assuming u is positive.\nAnswer: u**(5432\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 11361112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 260, 264, 270, 278, 288, 300, 314?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 2.8. Let q = 8 - 6. Suppose -5*v - 21 = q*v. Sort 0.4, l, v.\nAnswer: v, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + s - 200 = 0, -80 = -2*g - 8*s + 3*s. Calculate the lowest common multiple of g and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 23, 96, 217, 386?\n\"Answer: 24*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178150, 712438, 1602912, 2849572, 4452418?\nAnswer: 6411450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52204 - 2*y + 0*y - 52204.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8947923473.\nAnswer: 23, 173, 2248787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1247165259.\nAnswer: 3, 415721753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -4*o**3 + 109*o**2 - 469*o + 1785. Give y(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - -1 - (-144 + 57 - -7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/(-7)*3\/2*((-4)\/5)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 247619079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 6*c**2 - 3. Let h be (-4 + (1 - 3))\/(-1). Let b be o(h). What is the units digit of 16\/(b + -1)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25207 divided by -26?\nAnswer: 1939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4516 + -5836?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2379122605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**3*u**4 - 2*a**3 + a*u - 13*u**4 - 33 with respect to u.\nAnswer: -8*a**3*u**3 + a - 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(48)\/sqrt(6) + sqrt(8) - (sqrt(8) + (sqrt(112)\/sqrt(2))\/sqrt(7)))\/(-4*(2*sqrt(576) - (sqrt(4) - sqrt(64)\/sqrt(4) - sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -7*b**2 - 372*b - 3494. Give n(-41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55\/12 - 21\/4. What is the third smallest value in m, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -48.2 and -18219.6622873.\nAnswer: -18267.8622873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 87 and 114354.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -k + 12 - 4, 0 = -3*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 2\/7, -127?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8207014.5 + 6233760. Let m = h + 1973176.500264. Let r = m - -78. What is r rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 5*k**2 - 2*k - 3. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 396 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d66 (base 14) to base 8.\nAnswer: 12406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -147, -17, 113, 243, 373, 503?\n\"Answer: 130*h - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1146, 2, 4, -2, 3 in descending order.\nAnswer: 1146, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2043106 is divided by 618.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -48*v**5 - 3*v + 20 wrt v.\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0)**(-2\/75)*m**5*m**(-1\/4) assuming m is positive.\nAnswer: m**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 419893 by -419893.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 178045878, 178045879, 178045880?\nAnswer: 178045881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/31*((-304)\/266)\/4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 10, 0.046, -1\/6?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*r - 6 = 3*h, -2*r + 6 = 0. Let n be h + 7 + -3 - 2 - 0. Let k(v) = -v - v - 89*v**2 + n*v - v**3 + 81*v**2 + 9. Give k(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/((3*sqrt(72))\/sqrt(12)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2589 - -2619. Which is the closest to g?  (a) -1  (b) -0.3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0022325 milligrams to kilograms.\nAnswer: 0.0000000022325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 47?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m + 15. Let j be f(-7). Let c be 1 + j*-1*10. Let y = -5 - c. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2015782 and 0.3.\nAnswer: -604734.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -4*u - 612 + 138, -3*u - 708 = 3*y. What is the nearest to y in -5, -2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -24*z - 97. Determine h(-13).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2212853411?\nAnswer: 19, 107, 1088467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4526*r - 3992*r + 7924*r)*(4 - 4 - 3*r)*(-r**3 + 2*r**2 - 2*r**2).\nAnswer: -1782*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7d9c - -57?\nAnswer: 7df3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/(527\/4386)*(21\/(-154)*-11)\/(-3).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*r = 154*r - 80*r - 5248 for r.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -62487 > -62482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 455 = 3*g, -4*q - 18 = 5*g - 483. Find the common denominator of (-8)\/(192\/18) + q\/16 and 37\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 times 0.4605?\nAnswer: 52.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 192\/(-56) - (1 + -5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -v**3\/6 + 8*v. Let o(j) be the first derivative of -13\/3*j**3 + 0*j**2 + 0*j - 17. Determine o(h(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -11. Suppose j = -4*g + 6. Let f(a) = -3*a - 1. Determine f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 + 37. Suppose -10*q + 4 = -8*q. Suppose 3*k - 5 + 17 = 0. Sort k, q, j in increasing order.\nAnswer: j, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.134+0.3173\nAnswer: 0.1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3883.64382 minutes in weeks?\nAnswer: 0.385282125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44.03 - 1.03. Let f = -42 + t. What is the second biggest value in 4, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 1)*(3*u - 3*u - u) - 2*u + 3*u + u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -81*g - 3182. Let x be y(-40). Solve 0 = 36*r - 50 - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 43\/5  (b) -34  (c) 2\/17  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 13*f + 4. Let c be j(13). Solve -5*h = -4*h - c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/5672 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26930*i + 4329908 wrt i.\nAnswer: -26930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 470 divided by -10\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-16)\/104 + 1016\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 - d - 13*d**2 - 3 - 2*d. Let t be r(-1). What is the common denominator of 47\/20 and 97\/(-4) - 0 - (-15)\/t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2661 - -2\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to -19\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 25*k + 0*k**4 + 166 - 1\/6*k**6 + 19\/5*k**5 + 3\/2*k**2 + 0*k**3. What is the second derivative of b(w) wrt w?\nAnswer: -20*w**3 + 228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1906 is divided by 160?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 10797?\nAnswer: 10787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 8*j**2 + 2*j - 11. Let x be w(8). Which is the smallest value?  (a) -1.1  (b) 7  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 120842 and -33?\nAnswer: -3987786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 249 - 246. Let p = 0.116 + 0.184. Which is the smallest value?  (a) -2  (b) s  (c) 0  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from {w: 1, t: 2, k: 2, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -108*y - 3. What is c(5)?\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/35 or 0?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29489 is divided by 556?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 12968*s**2 - 10523520*s + 20995200.\nAnswer: -4*(s - 1620)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 2. Let w be (1\/(-3))\/(l\/9). What is the third derivative of -3*x**w + 3*x**2 + x**3 + 0*x**2 - x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6317670*q**3 - 6007481*q?\nAnswer: 37906020*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 6. Let l = s - -18. Suppose -l = -k + 2. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(3\/8)*i**(1\/6))\/((i\/((i**(2\/15)\/i)\/i))\/(i*i*i*i\/(i**(2\/33)\/i*i)*i*i)))**(-4\/3) assuming i is positive.\nAnswer: i**(-4771\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 7*z**2 - 15*z - 9. Suppose -x + 4 = 4*k, -k - 2 = -2*x + 3*x. Let m be g(x). Solve -o + 5*i - 4 = m*o, 0 = 4*o - 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*(u*u**(1\/5)*u)\/u)\/u*u*u*u**(-8))\/(u*u*u**16*u**(1\/7)) assuming u is positive.\nAnswer: u**(-768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-147)\/(-21) - (-178)\/(-26) - 84\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 127 - 122. Let x(s) = 3*s**2 - s. Let n be x(1). What is the third derivative of 12*i**5 + n*i**2 + 14*i**5 - 6*i**5 + 0*i**g wrt i?\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 7:42 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -17) + (292 - 329).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64260 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 404454, 404729, 405004, 405279, 405554, 405829?\nAnswer: 406104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 o, and 1 b when four letters picked without replacement from {x: 1, q: 2, b: 1, k: 6, o: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -25. Let z be (-57 - -2)*6\/k. Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 0)\/(5 - 3). Is a > -3\/499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-90))\/(2\/15)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 2110?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -283, -597, -951, -1363, -1851, -2433?\nAnswer: -3127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 1972*m**3 - 203*m**2 + 203*m - 203. Let x(n) = -29*n**3 + 3*n**2 - 3*n + 3. Let q be (-381 - -382)*(4 + -1). What is q*g(i) + 203*x(i)?\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 - 20*h - 2*h + 129 - 45 + 0*h.\nAnswer: -2*(h - 3)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (9 + -3 + 0 + 0 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k. Let l(b) = 1134*b. Calculate q(l(n)).\nAnswer: 2268*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17378147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y**2 + 71*y + 22. Let p be r(-14). List the prime factors of ((-20576)\/(-60))\/p - 6\/(-45).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 + 66 - (-17 - 1)) + 7 + -9\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4 - 1 = 0. Let x = 0 + m. Let f = 270 - 268. Solve -x*n = -f + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 66524 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -11.3.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 + 88. What is the remainder when s is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-3)\/21)\/(((-8)\/(-44))\/(238\/(-187))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s. Let u(j) = -141*j**2. Determine u(m(c)).\nAnswer: -1269*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13567, 8885, 1085, -9833, -23869, -41023?\nAnswer: -61295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o**(-2\/5)\/o*o))**(-2\/51)*o**2*o**(-3\/4))\/((o**0)**(-2\/65)*o**4\/(o*o**0\/o)) assuming o is positive.\nAnswer: o**(-967\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**2\/5 - 4422*w + 572832\/5 = 0. Calculate w.\nAnswer: 26, 7344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 3:07 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x - 187. Determine m(-20).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -100 + 118 + -3 + (-1 - 76).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1554*p**2 + 27*p - 60. Let s be c(-20). Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.13 - -0.07. Let d = l + 4.06. Let b = 3.2 - d. What is b rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*a**3 - 12\/7*a**2 + 0*a + 0 + 2\/7*a**4.\nAnswer: 2*a**2*(a - 2)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**5\/60 - 5*f**4\/24 - f**3\/2 - 1032*f**2. Suppose 2*k - 12 = 5*k. Determine x(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3586589641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**4\/24 - h**2 - 1. Let s(j) be the second derivative of m(j). Let w(l) = -36556 + 36556 + 10*l. Determine w(s(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -3*c - 87, 3*v - 133 = -3*c - 40. What is the highest common factor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3640\/39)\/7*15\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 945 and 125685.\nAnswer: 125685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 21*s + 9. Let t(g) = -13*g + 5. Let z(n) = -14*n + 8. Let p(f) = -4*t(f) + 3*z(f). Determine -4*m(b) + 9*p(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -454, -486, -542, -634, -774?\n\"Answer: -2*l**3 - 18*l - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 393147 is divided by 3527?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -8. Find the common denominator of (-4 - 36) + (-6)\/r and (-683)\/60 + (-76)\/380.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14892*-4.\nAnswer: 59568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 161, 288, -18, 5 in descending order.\nAnswer: 288, 161, 5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9 + -2)*(-3)\/1. Let z = -22 + b. Calculate the greatest common divisor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + (sqrt(1900) + 0)*-4)**2 + sqrt(1900) + (sqrt(1900) + 5*(-1 + sqrt(1900)))**2.\nAnswer: -590*sqrt(19) + 85525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130062750?\nAnswer: 2, 3, 5, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/97*1\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - 8*v + 12. Let s be 364\/(-30) + (-6)\/(-45). Let d = s + 3. Let y be b(d). Solve -3*a = -y*m + m - 1, -a = -3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/9)\/((-2)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 0.3, -12, 2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hpzfzowo. What is prob of picking 1 w, 1 z, and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2991 and 94715?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 1. Suppose 0 = -p*c + 4. Let i(y) = 1 - c + y**2. Let v(s) = -s**2. Give v(i(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1412415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-100))\/(2\/(-4)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(624)\/(-1*sqrt(12) - sqrt(12)) + (4*sqrt(832) - sqrt(52)))\/(sqrt(40)\/(-2*sqrt(10))*1).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2460 and 0.002.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, 4, -2\/7 in ascending order.\nAnswer: -7, -2\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -430 - 574 - 8*j - 306 + 170.\nAnswer: -8*j - 1140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 0.14, 2, 0.019, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w = 6*w - 105. Solve 2*n = w*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 3*c**2 + 13*c - 12. Let o be i(-10). Let a be -5 + ((-1047)\/(-6) - -2). Let v = a - o. Find the common denominator of v and 29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o - 11. Calculate the remainder when 2 is divided by f(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*f**2 - 2)*(5*f - 4*f + 5*f) - f**2 + f**2 + f**3 - 2*f + 2*f - 4*f**3 + (10*f - f**2 - 10*f)*(-2*f + 0*f + 0*f).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -11*f**2 + 2*f + 8. Let z(p) = 16*p**2 - 3*p - 12. Let s(x) = -6*c(x) - 4*z(x). Let u(l) = 17*l**2 - 38. Give u(s(q)).\nAnswer: 68*q**4 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -15.6. Let r be (-119)\/238 + 1\/(12\/22). Which is the smallest value?  (a) z  (b) -2\/9  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5882624711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 + 92788*r**2 + 539536140*r + 16636570236.\nAnswer: 4*(r + 31)*(r + 11583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.13, 1\/8, 6\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j - 1 - 2 + 3.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2. Let s(b) be the third derivative of 0*b**3 + 0*b - 9\/20*b**5 + 0 + 0*b**4 + 7*b**2. Determine u(s(k)).\nAnswer: -729*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 9441271?\nAnswer: 94412710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*c**4 + 14*c**3 + 7*c**2 - 3*c wrt c.\nAnswer: 456*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635423?\nAnswer: 635423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, m: 4, y: 9}. Give prob of sequence mmll.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 11*l**3 + 7*l**2 - 184*l - 9. Let j(z) = -6*z**3 - 4*z**2 + 92*z + 5. Calculate 4*d(x) + 7*j(x).\nAnswer: 2*x**3 - 92*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2) + -1 + -3852 + 3827?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*s = 17*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.04+0.2462\nAnswer: 0.2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 125823231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0*(-1)\/(2*18\/(-18))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 642962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -7*h**2 + 2*h - 7. Let i(s) = -3*s**2 + s - 3. Let x(v) = 13*i(v) - 6*z(v). Let u be x(3). What is the highest common factor of 363 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/20)\/(165\/(-80) + 2). Solve -17 = -f - 5*v, -v - g = 3*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b05 (base 13) to base 15\nAnswer: -844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of x**5*y + 33*x**3*y - 2*x**2*y - 79*y wrt x.\nAnswer: 60*x**2*y + 198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 652723, 1305445, 1958167, 2610889, 3263611, 3916333?\nAnswer: 4569055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2\/3, 0.3, 10, -0.19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 9:28 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 149\/38 in -67, -0.1, -0.5, -24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3340 - 2*t - 1680 - 1661.\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -49, 4, 2\/9, 2, -2\/9 in descending order.\nAnswer: 4, 2, 1, 2\/9, -2\/9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-1035)*5*(-5)\/(30\/(-99))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-27)\/(-12) - (-78)\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-368)\/(-180))*3 + 247\/(-25935).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of 0*w**4 + 2*w**2 + 0*w + 0 + 1\/1440*w**6 - 1\/480*w**5 + 5\/2*w**3. Let b(c) be the first derivative of k(c). Factor b(j).\nAnswer: j*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/63 and -73\/1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 12*l**2 - 40*l - 5. Let g(u) = -38*u**2 + 128*u + 16. Let y(n) = -5*g(n) - 16*o(n). Let h(d) = 3731*d**2. What is h(y(c))?\nAnswer: 14924*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 4:58 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6683 - 6678. Put -3, -1, -2, y, 227 in descending order.\nAnswer: 227, y, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -151344 (base 7) to base 13\nAnswer: -10476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 157 = -2. Let w = -30 + m. Let -4 - 1 + 0 - 21*l - w - 15*l**2 = 0. Calculate l.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 14 = -2*j + 2, 2 = -j + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.767842683 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 42322, 33266, 18172, -2960, -30130?\n\"Answer: -3019*y**2 + y + 45340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100111001011 (base 2) to base 10.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*k**2 + 14*k - 14*k)*(-2 + 0*k + k + k) + (2*k + 0*k - k)*(4*k**2 - 3*k**2 - 2*k**2) + (-1 + 1 + 1)*(-3*k**2 + 3*k**2 - k**3).\nAnswer: 28*k**3 - 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 18 = 6. Suppose -2*u + 4*a = 10, d*a = 2*u + 4*a. Let l(b) = 11*b - 7. Is 16 a factor of l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 2. Suppose -3*v + 5*v + q - 6 = 0, 6 = 2*v - 2*q. Let p be (2 - v)*(-8)\/4. Put 4, p, g in increasing order.\nAnswer: g, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -412204310 divided by -82440862?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 a factor of 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is 56063048 a multiple of 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 39*r. Let l(w) = 5*w. Let t(y) = -y - 6. Let b(c) = 2*c + 13. Let x(h) = -6*b(h) - 13*t(h). Let z(m) = -l(m) + 3*x(m). Calculate z(v(k)).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, u: 8}. What is prob of picking 2 h and 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)\/sqrt(7) + 2 + -1)**2 + sqrt(102)\/((-3*sqrt(72) - sqrt(72))\/sqrt(12)).\nAnswer: 7*sqrt(17)\/4 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 8080119.\nAnswer: 1\/2693373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -4617b71?\nAnswer: 4617b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 2:45 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -3*l - 1. Let m(p) be the second derivative of -2*p**3\/3 - 58*p. Determine a(m(h)).\nAnswer: 12*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11297143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 12*s + 1. Let w(j) = -17*j - 18*j + j**2 + 35*j. Calculate v(w(a)).\nAnswer: 12*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10357461 - 1093461. Round a to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*w - 4*w. Let y(r) = r**2 - 2. Let f be y(w). Suppose 6*c + p - 113 = f*c, 3*p = -5*c + 136. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k + 93 = 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 17. Let w(q) = -q**2 - 3*q + 2. Let d be w(l). Find the first derivative of 12*u - 7*u - d - 1 wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 312 - 163 - 5*n - 8*n + 11*n + n - 149.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -5*u. Let t(c) = 9*c**2 + 9*c**2 - 15*c**2. What is t(z(o))?\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s + 2 + 4*s - s + (30 - 4*s - 30)*(2 + 0 + 1) + 7*s - 7*s - 10*s to u*s + g and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iei when three letters picked without replacement from {j: 1, e: 1, i: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 5\/26, 440\/7, 2?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**5 + g**5 - 5*g**5 + (3*g**2 - 5 + 5)*(-2*g + 2*g - g**3) + 2*g**5 - 4*g**5 - 5*g**5 + (-5*g**2 + 2*g**2 + 4*g**2)*(-2*g**3 - 2*g**3 + 3*g**3).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 60*l - 31. Let u(r) = -3*r**3 - 5*r**2 + 1. Let v be u(-2). Suppose 0 = v*a + 1 - 16. Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 450*p**2 - p + p + 533*p**2 - 1438*p**2 + 450*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = -5*u + 2*p + 143, 5*p - 25 = 0. Calculate the highest common divisor of u and 8925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggugwwuguguuwuuwwk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 divided by -1610.\nAnswer: -29\/1610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.21, -6156.608, -3 in increasing order.\nAnswer: -6156.608, -3, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmt. Give prob of sequence tm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23701966 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 4:54 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(1 - 0)*2. Suppose -2*m + 16 = g*m. Let n(d) be the third derivative of d**4\/24 - 5*d**3\/6 + d**2. Give n(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 8\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 75, 25, 85708 in descending order.\nAnswer: 85708, 75, 25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 136\/7 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13654135 and -4.\nAnswer: 13654131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -f**3\/6 + 19*f - 4. Let q(r) be the first derivative of k(r). Let m be (-4)\/14 - 20\/28. Calculate q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0077548435 rounded to four decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 5:32 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*12\/(-144)*2\/(-8) + (-186)\/720.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of -2*w**3\/3 - 12*w. Let z = 3 - -7. Let u(i) = 8*i - z*i + 0*i. Determine u(j(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 9*t + 370. Let a = -19 + t. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c + 5 = -223. Is c >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -21. Suppose m = -2*i - 11. Let x be (4 - i\/(-3))*-27. What is the biggest value in x, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -335\/214 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.03  (b) -0.7  (c) 5  (d) -0.2  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/5*1 + (-108)\/180. What is the nearest to 0.2 in -3, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 6 = -7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 135 + 7061 = 4*s, -4*a = -s - 14365. List the prime factors of a.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120 (base 9) to base 6\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121749150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**5\/60 - a**4 - 3*a**3 - 2*a**2. Suppose -5922 + 6018 = -6*s. Does 11 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2261 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 450\/43 + 531\/430. Let l = -3210537\/958 + 79\/1916. Let c = -3335 - l. Find the common denominator of c and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/791 + 3174\/3955. Sort 2\/7, v, 0.3, -0.2 in decreasing order.\nAnswer: v, 0.3, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 + 5)\/((-2)\/4). Sort l, -2, 1 in increasing order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 8 - -4 - (5 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 4*d - 52 = 0, 5*d - d - 56 = -5*t. Calculate the remainder when ((-129)\/6)\/(15\/(-90)) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 8:55 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 12284*p. Let y(k) = -864*k**2. Give y(l(i)).\nAnswer: -130374710784*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1060765326*a**2*u**3 - 1739*a*u**2 - 256527*u**3 - 2*u**2 wrt a.\nAnswer: 2121530652*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31409 or -31508?\nAnswer: -31409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6109893863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 22 divided by -7122\nAnswer: -11\/3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 2:19 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 210901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 2 = -2*q, -9 = -q - 3648*j + 3650*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-28))\/(10\/(-12)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.2, -184323\/11, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 5*w = -9, -5*w = 7 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 87749840 and 3424384.\nAnswer: 701998720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -15*g**2 - 7698*g - 639257. Determine q(-409).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (223 - 223 - 11*f)*(4 + 2 - 3).\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -22022 (base 4) in base 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 41. Let g be -10*16\/b*6\/(-8). Suppose 0 = 5*z + i - 131, g*i - 19 = -z + 3*i. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -523*u - 12. Let g(b) = 4*b + 1. What is -22*g(t) - 2*r(t)?\nAnswer: 958*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 3.69  (c) 0.3  (d) -0.1  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17913 by -3.\nAnswer: 5971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.81 + 0.13. Round l to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.44 and 4.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - 13. Let m(t) be the third derivative of 0*t**4 + 24*t**2 + 0*t**5 + 0*t**3 + 1\/120*t**6 + 0 + 0*t. Let i(y) = 15*y**3. What is l*m(o) + i(o)?\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2223?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3357750*g**2 + 6*g + g**3 + 4*g**3 - 3357750*g**2 - 6*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16 and -0.125.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -71, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195 = -2*q + 5*l, -3*q + 11*l + 296 = 7*l. Calculate the remainder when q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*t - 50*t = -20*t - 70 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737069.\nAnswer: 17, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -16. Is 20 a factor of ((-122)\/(-3))\/(g\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -h*u**2*w**2 + 442*h*w**2 + 17*u**2*w**2 + 2*u**2*w - u*w + 2*w**2 wrt h?\nAnswer: -u**2*w**2 + 442*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 2 = -n. Suppose 5*l - 2*h = n, 22 = 2*l + 3*h + 10. Suppose -i = v - 2*i - 29, 4*i + 88 = l*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -234.502 and -4687357?\nAnswer: 4687122.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 2*p - 2 = -5*o, 4*p + o + 4 = 0. Let w = -1 - p. Suppose -h + 4*h = w. Solve -s = -h*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405) - -5*(sqrt(5) - (sqrt(5) + -1)).\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -22432521?\nAnswer: -22432513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 796286 is divided by 6924?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -4\/7, 7, -2\/3, -57\/2209?\nAnswer: -57\/2209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (867\/578)\/((-15)\/(-14)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*a, -4*a + 9 = -2*s + 1. Suppose -c + 35 = -d, -23 = -c - s*d - 2*d. What is the remainder when c is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19)\/9)\/(6\/(-126)) - (45 + 670\/(-15)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 22*y + 61. Suppose 0 = -5*i + 2*l - 98, 16*i - 15*i + 3*l + 6 = 0. What is u(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -13*w**2 - 30083*w + 208890 = 0.\nAnswer: -2321, 90\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010001111011001101 (base 2) in base 14?\nAnswer: 8a40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 168484  (b) -4.7  (c) -4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z + 161*k - 156*k + 203, -3*k = 13*z + 110 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3 + 3 - 2*r. Let c(s) = -1788 + 3602 - 30*s**2 - 1813. Determine k(c(o)).\nAnswer: 60*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 5*z = 2*j - 2, -2 = -5*j - 2*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 61 = -331. What is the second derivative of m*s - 9*s**4 + 12*s**4 - 2 + 9*s**2 + 0*s**2 + 1 wrt s?\nAnswer: 36*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -224630488 - -3?\nAnswer: -224630485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.89*771\nAnswer: -686.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 35*s - 70 = 0, 7*g + 2*g - 2 = -12*g + 7*g - s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5, 26, 73, 158, 293, 490?\n\"Answer: 2*m**3 + m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14544, 14542, 14540?\n\"Answer: -2*v + 14546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3559928 smaller than -3559805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11923*g**2 + 64*g + 16847*g**2 - 64*g to the form x*g + p*g**2 + w and give p.\nAnswer: 4924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(475))**2*-4 + sqrt(38)\/sqrt(2)*-5*-4.\nAnswer: -30400 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -328 + 329. Let m = -2.5 - 0.5. Let f = m - -7. Which is the closest to k?  (a) f  (b) -0.4  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/36 and ((-1)\/(-3))\/(-1 + (3 - 1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78367288?\nAnswer: 2, 137, 71503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccrcccccccccccrcc. What is prob of picking 1 c and 2 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4*k + 34 + 6 = 0, 5*u - k = -25. Suppose i + 3*n - 1 = -2, i - 2*n = 9. Let o = i + u. Which is the nearest to -1?  (a) 0  (b) -2\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(((-2 - -3) + 0)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/30*(-1 - -3). Let c = 0.3783 - -5.6217. What is the biggest value in c, o, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(880) + sqrt(55))*-1)\/((sqrt(132)\/sqrt(4))\/sqrt(3)) + 3)**2.\nAnswer: -30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -670 - 302 = 162*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/2, -32, -5.\nAnswer: -32, -5, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -r**5\/10 + r**4\/4 + r**3\/6 - r**2 - 21*r. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1845460462.\nAnswer: 2, 19, 67, 724847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.6141 kilograms in micrograms?\nAnswer: 98614100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 978981330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(2*k + 4*k - 4*k) + (4 - 5 - 2)*(-1 + 1 - 3)*(4*k - 3*k - 2*k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -18. Let j be 26\/m + (-6)\/36. Let u(g) = g**3 + 5*g**2 + 5. Let w be u(-5). Solve -j*q - w = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uqu when three letters picked without replacement from {u: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 2*p + 20. Let v be (2\/2)\/((-10)\/p). What is the closest to 0.1 in -3, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3\/((-15)\/(-220862)) - 1980\/4950)*1?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -4*k**2 - 4*k - 3. Let c(n) = -n. Determine -3*c(x) + g(x).\nAnswer: -4*x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2204 - -2488?\nAnswer: 468c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7)\/(2826\/207711)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-528)\/(-14) + (-6)\/(-21). Suppose 5*b = 3*b + 6. Suppose x - g = -b. Is 35 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y + 15. Let l be 1\/(5\/(-20)) + 11. What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14\/(-35) - 2905\/175. What is the third smallest value in 0, 0.3, 3\/7, c, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2*(sqrt(448) - -2*sqrt(448)) + sqrt(448)))**2 + 5 + (sqrt(847) - (-4 + sqrt(847) + 0 + sqrt(847))).\nAnswer: -11*sqrt(7) + 44809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4365*b**3*z**3 - 24*b**2*z**2 + 4*z**3 wrt b?\nAnswer: -26190*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 + 453364.\nAnswer: 453364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1990 and 360220845.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**2 + 23 - 23 - 205*y**2 to the form k*y + a + g*y**2 and give g.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 - 474?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 15 + -3)*1. List the prime factors of o\/(-4)*(-8 + -4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -3. Let g be 0 - 4*q\/2. Suppose 0*r + 20 = g*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9057*t = 9051*t - 186 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -301, 0, 4, -4, 3 in descending order.\nAnswer: 4, 3, 0, -4, -19, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -0.5  (c) 3  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-a - 1 + 1)*(0 + 0 - 2*a) - 43*a**2 - 52*a**2 + 11*a**2)*(0 - 3 + 4) + 456 - 456 + a**2.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1259667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5*(sqrt(143)*2 - sqrt(143)))\/(-5*sqrt(11)*-1).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 292 = -3*z + 132, 0 = -z - 2*i + 158. What is the remainder when z is divided by 90?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 740 and 683760?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4006, -15691, -35056, -62101, -96826, -139231?\nAnswer: -189316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + -29 + 48 + -22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 416 = 251. Suppose m*l = 30*l + 15. Put 4, 3, l, 1 in decreasing order.\nAnswer: l, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 307 + -307.237. Let x = o - 0.263. What is the fourth biggest value in -2\/3, x, -2\/5, -0.11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 12*r - 1. Let i be p(11). Suppose -4*l + 2*u = u - 58, -i = 5*u. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21.3 greater than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 79 + -78. Suppose m - 2 = 0, 16 = -6*f + 2*f - 2*m. Sort g, 4, f.\nAnswer: f, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -86343, -345214, -776665, -1380696, -2157307, -3106498, -4228269?\n\"Answer: -86290*b**2 - b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*d - q + 2123 = 0, 10*d + 3*q + 75 = 6*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183644?\nAnswer: 2, 31, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/294*(-7)\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37484.35 hours to microseconds.\nAnswer: 134943660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-2))\/(15\/9*(-936)\/5720).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.139 and 0.09.\nAnswer: 1.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*k - 4*k. Let z be ((2\/(-2)*-2)\/(-1))\/(-1). Suppose -z*h = h - 15. Solve -25 = -d - h*y - 0*y, 3*d + 2*y - k = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 1, -3*i + l = 2*l - 10. What is the remainder when 10 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-9))\/((1232\/84)\/(-22))*42\/(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (198\/(-27))\/11 - (-20)\/21. Let m = -51 - -53. Which is the fourth biggest value?  (a) n  (b) m  (c) -2\/9  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 3*i + 24 = 0. Let b(f) be the first derivative of -8\/7*f - 24\/7*f**2 - 30\/7*f**i - 25\/14*f**4 - 4. Factor b(v).\nAnswer: -2*(v + 1)*(5*v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -2 - 3. Let r be (l - -2)\/(4\/4). Sort -5, r, 8 in descending order.\nAnswer: 8, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 153, 2, 16, -0.12, -3 in decreasing order.\nAnswer: 153, 16, 2, -0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a + 5*a - 3*a + (-2 + 0*a + 3*a + 0*a)*(18 - 3 + 0).\nAnswer: 43*a - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 59*s + 597. Let m(t) = 12*t - 1. Calculate h(z) - 5*m(z).\nAnswer: -z + 602","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9375643 milligrams?\nAnswer: 0.0000000009375643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -5762, -3, 10, 1, 23\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1901.8 + 1766. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 26*g**3 - 10*g + 10. Let l(w) = -2*w**3 + w. What is -d(p) - 12*l(p)?\nAnswer: -2*p**3 - 2*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -199 - -115. Let c be z\/32*-2 + 4\/(-16). Suppose 0*y = y + c*v - 12, -3*y - 4*v + 58 = 0. Calculate the remainder when 65 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315*w + 308*w + 8806 = 0. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*(d**(2\/3)*d)\/d)))\/d**(-1\/2))\/(d**(1\/3))**(4\/3) assuming d is positive.\nAnswer: d**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 15 = -3*u, u - 3*j - 25 = 2*j. Let f = -0.728 + 0.328. Which is the closest to u?  (a) 0.05  (b) f  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -23. Let n be (0 + j\/6)*6. Is 13 a factor of (-4)\/n + 180\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**7\/5040 - c**6\/180 - 7*c**5\/60 - 3*c**2. Let j(g) be the third derivative of q(g). Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 56284 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((5 + sqrt(304)*3 + -4)**2 + 3*(-3 + sqrt(304)) + -5).\nAnswer: -13615 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -8. Let w be (-2)\/(-4)*l*0. Let d be w\/(2\/2) + 2. What is the highest common divisor of d and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 2, 226.\nAnswer: -21, 2, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -919913*o**2*x**2 - 3*o*x**2 - 3542*x**2 wrt o?\nAnswer: -1839826*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 12*d**2 + 14*d + 7. What is the remainder when 449 is divided by q(-14)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/2582 and 87\/13978948.\nAnswer: 13978948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -522*j + 245*j + 279*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 662*r + 16834*r + 1556*r in the form z*r + x and give z.\nAnswer: 19052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -668746*i. Let b be m(-5). Let h = b - 2338769. Let x = h - 694961. Round x to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 27643964, 27643936, 27643908, 27643880?\n\"Answer: -28*p + 27643992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 + k - 7. Let y(s) = -s + 1. Let i(w) = -f(w) - 4*y(w). Let v be i(3). Suppose -3*p + v = -6. 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 third derivative of 5199*z**4 - 510*z**2 + z wrt z?\nAnswer: 124776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 7*d + 1. Sort 1, 0.1, d, -0.4 in increasing order.\nAnswer: d, -0.4, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4ed + -1abd?\nAnswer: -1faa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/6*(-441)\/(-1372)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -217365 (base 10) to base 2.\nAnswer: -110101000100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5101.96 - -5102. What is the third biggest value in 0, r, -1.78?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -8.4. Which is the smallest value?  (a) 4  (b) -5  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + ((sqrt(1584) + -1 - sqrt(1584))*-6 - 2*sqrt(1584)*-1) + 5*(-1*sqrt(1584) + -5))**2.\nAnswer: 8280*sqrt(11) + 73925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6586 (base 11) to base 3\nAnswer: 102220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1410 + -241714?\nAnswer: -243324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 - -63. Calculate the greatest common divisor of d and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 66821.27 + 56.6.\nAnswer: 66877.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25a + b?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s. Suppose 0*i - 3*i + 30 = 5*o, -5*i + 13 = -4*o. Let w(j) = -3*j - j - j - o*j. Determine r(w(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18698119 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -219 + 235. Let y(l) = -l**3 + 5*l**2 + 7*l - 7. Let r be y(6). Let h = z + r. Solve 0 = q - 6*q - h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 46, -130831 in decreasing order.\nAnswer: 46, -2, -130831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -235*g**2 - 47*g**2 + 106*g**2 in the form j*g**2 + y + t*g and give j.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f + 51 - 442 = 0. Suppose 12 = -f*t + 27*t. Solve -3 - t = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5439 and 1764.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -365, -814, -1441, -2246, -3229?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*u + 0*u - 76 = 0, -5*r = u - 136. What is the greatest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 19 = 3*k - x, -3*k + 5*x = 7. Let a be 2\/5 - k\/(-10). Suppose a = -2*m + 26 + 12. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 + -36.0149. Round h to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3388 = 151*s - 228*s. Calculate the remainder when 15443 is divided by s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.1189 from 26682.\nAnswer: 26677.8811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -53*r**4\/12 + 17*r**2 - 18*r - 17. Let s(i) be the first derivative of n(i). What is the derivative of s(f) wrt f?\nAnswer: -106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 811, 969, 1127, 1285, 1443?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -569\/996 or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000063977 rounded to 6 dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 110 = 176. Let g be b\/(-3) + 8 - 158\/6. Which is greater: g or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 + -26. Let v be (-1)\/(-2 + 10\/t) - -5. Which is the second smallest value?  (a) -1  (b) -2\/7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-4 - -8) + 5 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -14871?\nAnswer: -14865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/13 - 0)*3585. Let f = w + -405381\/728. Let m = 38\/7 + f. What is the closest to -1\/3 in m, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*x = -0*x + 2672, 3*x + 2676 = 4*v. What is the smallest common multiple of v\/45 + 2\/10 and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15*(-3 - 16\/(-6)). Let d(p) = 4*p + 4. Let j be d(t). Let c = 13 + j. Let z(m) = -m**3 - 3*m**2 - m - 3. Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45720 and 19431.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002959 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 9:18 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 16. Suppose 5*q = u + 50. Suppose q = 3*f - f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16776*n = -891589 - 284522 - 503167 - 803570 for n.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 35120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 80573c - -c4?\nAnswer: 805833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/5)\/(6\/4). Let q be (5\/35)\/(6\/14)*12. What is the biggest value in j, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4. Let k(q) = -6*q + 16. Let m(p) = -p + 3. Let d(g) = 2*k(g) - 11*m(g). Let i(t) = -4*t**2 + 43*t + 12. Let c be i(11). Determine c*s(h) - 3*d(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 183*v - 17242. Calculate b(-67).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 86 + 82 + 20*p + p**2 - 127. What is the units digit of v(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 + 39*x**2 - 69*x + 33.\nAnswer: -3*(x - 11)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**(-2\/19)\/h))\/h)\/(h*h**(3\/4)*h))\/((h**(-2)\/h)\/h**(-4))*(h**(-2\/3)\/(h**(-1\/3)\/h*h*h*h))\/(h**(2\/3))**(-4\/31) assuming h is positive.\nAnswer: h**(-34577\/7068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.093888 and 964798410?\nAnswer: 964798409.906112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 860 + 1060. Does 64 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 8*z**2 - 7*z - 4. Let d be f(7). Let u = d + 23. Calculate the greatest common divisor of u and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -1\/20*j**5 + 2*j**2 + 1\/6*j**3 - 1\/6*j**4 + 2*j + 0. Let n be g(-3). Solve n = -5*s + 5*f, 2 = -4*s - f + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -54*x**3 + x**2 - 53 with respect to x.\nAnswer: -162*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/8 - 14155*n**3\/8 + 50069767*n**2\/8 + 150336723*n\/8.\nAnswer: n*(n - 7079)**2*(n + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-78)\/(-36))\/(-13) + (-4)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 39683  (b) 0  (c) 1\/4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71644 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.28 + -0.12. Let u = f + -0.6. Let q(g) = g**3 + 8*g**2 + 230*g + 2505. Let p be q(-10). Which is the nearest to -2\/3?  (a) p  (b) -0.01  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/12)\/(3\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -148 - -192. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 47 and -0.12.\nAnswer: -5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (16 + -14)*9 + 1236 is divided by 321?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)\/v**(-2\/7)*(v*v**2)\/v**(-12))**(-1\/11) assuming v is positive.\nAnswer: v**(-93\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Divide -25423783 by 4523.\nAnswer: -5621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2 - 5*o - 1720. List the prime factors of p(-61).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d - 112. Determine f(18).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 497*p**2 + 497*p**2 - 1999*p**2 + 500*p**2 + 494*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.1582762 to three decimal places.\nAnswer: -17.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1041423042 (base 5) in base 6?\nAnswer: -121110501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 2) + 1 + -3. Let b be ((12 - 1) + y)*-1. Let m(j) = 2*j**2 + 11*j + 12. Let u be m(b). Round u to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/9?  (a) 5883  (b) 2\/3  (c) 132  (d) -2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 2*p - 5*p + 15 + 2*p + 18458*p**2.\nAnswer: 18458*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111083529.\nAnswer: 3, 3089, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -61\/15607 or -1?\nAnswer: -61\/15607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + f + 0*f**2 + 11*f**2. List the prime factors of w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 - 25 - (-1 + 1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 541, 350, 171, 10, -127, -234, -305, -334?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.53999946 - 0.54. What is n rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5172 + 5337. Solve -33 = 33*j - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6528 by -24.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**3 - 3*j**2 + 2*j - 3. Let g be c(2). Let n = g + -3. Solve 3*z - 4*f = 4, -n*z + f - 2*f = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1  (b) 195  (c) 4  (d) 1\/2  (e) -20.2  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 128*o*r + r - 12 wrt o.\nAnswer: 128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -340260 (base 7) to base 13.\nAnswer: -21501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 12. What is the smallest common multiple of d and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, v: 2}. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1*(5 + 0) + 159 and 9?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1095 + -1098. Suppose -13 = -2*l + 2*v - v, 2*l - 3 = -v. Which is the closest to m?  (a) l  (b) -0.2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 29\/348*-1*4. What is the smallest value in 1, h, 0, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10286867?\nAnswer: 1423, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -47\/838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 1, z: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + -4)*(-3 - -2). Let r(h) = h**3 - 3*h**2 + 2*h + 2. Calculate r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/9240 and -67\/20.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 21.9. Let o = -0.1 + s. Let d be (-16)\/(-6) - (4 - 2). Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205815891*w + 205815891*w - 1 + 3*w**2.\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -706 (base 8) to base 6.\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 12, 4, 2 in descending order.\nAnswer: 12, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 15 - (7 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + o + 80. Suppose -o = -4*h - 56. Let x(n) = n**2 + 11*n + 10. Let v be x(h). Solve v = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1074*t - 3125*t = 166131 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6, 8, 20, 48, 98, 176?\n\"Answer: h**3 - h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*i = -267, 2*i - 123 = -3*v + 124. What is the derivative of 53*d**2 + v - 29*d**2 + 63*d**3 + 5*d**3 - 24*d**2 wrt d?\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51 (base 10) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -6. Let k be (r\/(-4))\/((-3)\/48*-6). Solve 0 = -k*x - 9 - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 8:15 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 + 212*l - 30. List the prime factors of g(96).\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i - 10*i + 8 + 8.\nAnswer: -15*i + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (266*r - 39*r - 23*r)*(-2*r**2 + 2*r**2 - 3*r**2) + (5*r - r - 2*r)*(r**2 + 2*r - 2*r) as a + x*r + f*r**3 + n*r**2 and give f.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29)\/(-3) + -11)*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (6*(4*sqrt(192)*1 + (sqrt(192) - (-5 + 1 + sqrt(192) - sqrt(192)))) - (4 + 1 + sqrt(192) + -1 + sqrt(192) + 2)))**2.\nAnswer: 9408*sqrt(3) + 150969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25220.02 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -887\/5 + 178. What is the fourth smallest value in -0.4, 0.3, 13, v?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 27 - -24?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1375*f**2 + 1168*f**2 + 1522*f**2 - 1025*f**2.\nAnswer: 3040*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*f + 18 - 148 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 24*m + 126. Calculate q(-11).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 4\/5, 229, 5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) -70  (c) 0  (d) 24  (e) 0.2  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -3 - -12) + -6 - (4 - -25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o + 8. Let l be k(-9). Let y be (2 + (-2 - l))*155. Suppose 0 = -5*p + y. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -106*p + 101*p - 36, 2*g - 36 = -2*g + 4*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 46*d**2 - 10*d - 56*d**2 - 6 - d**3 - 5. Is f(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-420)*-55*532\/684?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.8 + 1.8. Let i = o - -3. Let c = -24.1 - -24. Sort c, -3, i in descending order.\nAnswer: c, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72428 is divided by 419.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, -2, -147\/142?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.3, 4, -2, 34.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260258038?\nAnswer: 2, 269, 483751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5455837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*k + 1876 = 0, -5*c - 4*k + 910 = -1441. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, 0, 1, -1\/6, 0.03, -2\/241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 395325009 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4*0.064\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000047511 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hlddydyylhlylhyyedhd. Give prob of picking 2 y.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 - 2*k**4 + 2*k**4)*(2 - k - 2) + (1 - 1 - 2*k**4)*(-2*k - k + 0*k).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 9:10 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**2 + a - 8 + 3*a - 8*a + a**3 + 9*a**2. Suppose -3*w - 7 + 28 = -3*x, -4*w = 20. Is 5 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (18\/(-5))\/((-26)\/(-585)*-9). Solve q = -15*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*g = 42*g + 96 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*s + 421 = 806 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 - 16. Let i = -1 + d. Suppose 0 = -3*l + i, 16 = 2*t + 4*l - 2*l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1991 - -12991. Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6*12\/(-9))\/(((-33)\/(-110))\/((-3)\/(-180))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -7 - (-3 + (-7 + 9 - 18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01166 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/z**(-2\/35)))\/(z*((z**(-7)\/z*z)\/z)\/z)*(z*z**(-1\/3)*z)**(13\/6) assuming z is positive.\nAnswer: z**(7279\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 5*z + 2. Let r be b(-5). Suppose 0 + 24 = r*v. Suppose 4*s - 12 = 0, -3*f = -s + v - 324. What is the highest common divisor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309821.\nAnswer: 491, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 120*u**2 + 3342*u + 79. Give h(44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/284 and 101\/69068.\nAnswer: 4903828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 18. Let s be i\/15 + 297\/45. Let j(b) = -b + 14. Calculate j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + j + 9, -213163*j + 8 = 3*v - 213164*j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.5 - -0.1. Let p = u + -3. Which is the nearest to -0.1?  (a) -3\/5  (b) -1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 + -18. Suppose a*v + v = -3*n - 15, 2*v - 15 = 3*n. Solve -3*l + 4*l + 2 = v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 28 - (-15 + 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(171))**2 - 6*sqrt(19)*-2.\nAnswer: 12*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 146919.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 - 54*a - 20. Determine w(-27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 37  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1*(7 + 5 + -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 2*f + 2. Let s be (85\/(-45) - -2) + (-2411)\/(-9). Let k = s - 273. Let t(i) = i**2 + 2*i - 2. What is k*t(w) - 4*d(w)?\nAnswer: 3*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**2 - 55*t - 540. Let o be m(-48). Calculate the highest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*h + 123*h + 16 = -4*y, -4*h - 38 = 2*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546*f**3 + f**2 - 446*f**3 - f**2.\nAnswer: -992*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35366, 70732, 106098, 141464?\nAnswer: 176830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**2 + 103*p - 165. Let h be w(-36). Calculate the highest common divisor of h and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + x)*(-2309 - 4258 - 4828 - 343 - 2846).\nAnswer: -14584*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 4*q + 7. Let f be p(6). Suppose -6*b + b = -10, 0 = z + 2*b - f. What is the remainder when 29 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -24153\/9926?\nAnswer: -24153\/9926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.394 + 2.\nAnswer: -11.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 82. Let z be (1\/2)\/((-9)\/j). Let v be ((-3)\/(-2))\/((-1)\/(-4)). Solve 0 = 4*l + 5*q + v, 3*l + 5*q + 4 + z = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c - 4*c + 4*c + (3 - 18 + 3)*(-3 + 3 - 3*c).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (3 - -2) + -2. Find the second derivative of 3*p - p**4 + 2*p**4 + 0*p**h wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 17*d. Let x(j) be the second derivative of -4\/11*j**2 + 0 - 1\/110*j**5 + 5*j + d*j**3 + 1\/22*j**4. Factor x(y).\nAnswer: -2*(y - 2)**2*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6068099 months in centuries?\nAnswer: 0.00133900825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 575\/7 + -86. Is -3 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -13. Suppose -2*g = d, -a - 2*a + g = -609. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 88*z - 89*z - 3 = 0, -3*z + z + 10 = -10*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -122500 to the nearest one thousand.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.063 - -4.137. Which is the smallest value?  (a) -3  (b) y  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(3) - (sqrt(3) + 2)) + 4 + 1)**2 + sqrt(9)\/(sqrt(12)\/sqrt(4)*5)).\nAnswer: -27 - 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhif when four letters picked without replacement from ifililhhflikhliaih.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14149710, -14149708, -14149706, -14149704?\nAnswer: -14149702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/116815 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8646.16 - 8456.7222. Let m = -186.04 + q. Let x = m - 3.4. What is x rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5729 - 5727. Let x(g) = 3*g**2 + 2*g + 1. Let f be x(-1). Solve -2*p + f*i + 4 = -v*i, -1 = 2*p + i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 222 and 10239.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of 2*i**3\/21 + 11*i**2\/7 - 87. Factor a(b).\nAnswer: 2*b*(b + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 2:41 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 53194 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**3 - 122 + 53 + 4*d**4 + 9*d**2 - 3*d + 71 in the form h*d + p + x*d**2 + u*d**3 + r*d**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*t**3 + 7*t.\nAnswer: -162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -535147, -5 in decreasing order.\nAnswer: 1, -5, -535147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - 0)\/(3\/(-5)). Let i be (-81)\/15 - (-2)\/c. Sort 3, -3, i in ascending order.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g = 16*g - 14. What are the prime factors of 285\/g - 12\/(-42)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.461 and -1437?\nAnswer: -6410.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ojo when three letters picked without replacement from {d: 2, o: 11, j: 1, i: 5, z: 1}.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) 1  (c) -7335\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + (-259)\/42)*4\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 3. Let h be c(-5). Suppose -u = h*u - 3. Let p = 3 - u. Solve p*w + 8 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + (-214 - -224) + (-1632)\/40?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of -3*h**5\/140 + 3*h**4\/28 - h**3\/7 + 16*h + 10. Let j(r) be the first derivative of t(r). Determine d so that j(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, e: 4}. Give prob of sequence ete.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.16 - -0.24. Let w be (6\/8)\/(22\/(-11)). What is the closest to t in w, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101*y + 45*y + 51*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, r: 12, b: 2}. What is prob of sequence zzrb?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 3\/28987 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96*2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/22592 and 103\/320.\nAnswer: 112960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -3 + 1 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28423*h**3 - 6577*h**3 + 10687*h**3.\nAnswer: 32533*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26333038*j**2 - 462*j - 7983?\nAnswer: -52666076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**4\/12 + 15*w**2\/2 + 3*w. Let h(f) be the first derivative of c(f). Let i(j) = -60*j**2. Give i(h(l)).\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 v, and 1 p when three letters picked without replacement from {v: 1, p: 1, k: 2, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 10119 = -4*p - 10257, -p + 123 = 4*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 6:28 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19\/(-2) - -3)\/(17\/(-17)) - 9.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 40 = 4*c, -2*v - 5*c + 45 = 3*v. Suppose 2*t = 0, v*x + x + t = 35. Suppose -106 + 22 = -x*p. Calculate the lowest common multiple of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 1 + (19 + -9 - -63 - -9) + -1\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {d: 6, q: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of 59*h**6\/3 + 4511*h**4\/12 - 2*h + 78. Find the third derivative of z(j) wrt j.\nAnswer: 14160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 60 = 9*r. Let s(j) = -5*j + 45 + 2*j - 14. Is s(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (2 - 6\/(-2)). Suppose 0 = -3*k + 2*j - g + 3, -k - 4*j + 23 = 0. Suppose 0 = 5*u + 2*y - 162, 0 = 2*u + 2*u + k*y - 131. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 2.97. Let w = 0.13 - f. Let h = -0.1 + -0.4. Which is the nearest to w?  (a) -2\/3  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 352230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/(-10)*1*30. Suppose 0 = -3*v + 7*v - x. List the prime factors of (16\/6 - 2)*v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f + f**3 - 6*f - 37 + 30 to p*f**2 + a + q*f**3 + m*f and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-q - 4*q**2 + q)*(4*q**3 + 0*q**3 - 5*q**3) - q**5 - 3*q**5 - 14*q**5)*(-4 + 2 - 1).\nAnswer: 42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -298814 divided by 5638.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -26, 5, 14, 2 in ascending order.\nAnswer: -26, 2, 5, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {q: 1, v: 3, p: 4, r: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hcrr when four letters picked without replacement from {d: 2, h: 3, c: 5, r: 3}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*o - 94*o - 180*o)*(-4*o + 2*o + o).\nAnswer: 312*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o + 4126 = -4028. What are the prime factors of o?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3*t - 4. Let y(w) = -w**t + 0 - 1 + 2 + 0*w**2 - w. Let i(o) = 3*o**2 - 3. Give -i(p) - 2*y(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - j + 1. Let z(p) = -102*p**3 - 17*p + 17. What is 17*w(v) - z(v)?\nAnswer: 85*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 370 + -159. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2554 + -545503?\nAnswer: -551360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -17, -4, -4\/3, 1.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66*i**3 + 2*i**2 - 388*i**3 - 5*i**2 - 95*i + 117*i**3 wrt i.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.64 times -0.1\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uyyyyyyuyyu. What is prob of picking 2 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (26\/8 + -4)*4. Let n(p) = 5*p**3 + 3*p**2 - p + 6. Let z be n(s). What is the common denominator of 95\/6 and (-294)\/z - (-6)\/9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -1b421799?\nAnswer: -1b421797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/2, 77466, 1140?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51 and 117330?\nAnswer: 1994610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3564) - 2*sqrt(3564) - sqrt(3564))\/(sqrt(36)*-6)*-6.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 + 9*q + 32. Let h be x(11). Suppose -18*r + 23*r = h. Let o be 2345\/737 + (0 - r\/11). Do o and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16 - 9 - -5 - (-1 + 8). Put k, -325, -5 in increasing order.\nAnswer: -325, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/28)\/(8 - 450\/63)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 125 or 1\/2559?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**3 - 56*q**2 + 934*q - 5405. Determine a(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rxy when three letters picked without replacement from {x: 5, r: 3, y: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*i - 18*i + 4569. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/7 + 2*296\/(-112)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/(0 - (0 + -1)). Suppose -2*y = 2*s - 16, -3*y = -4*s + y. Suppose 9*q - 16 = 2. Solve -j - s = q*d + 5, 0 = -5*d - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1760320 (base 9) in base 2?\nAnswer: 11110000010101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 625 = -2*v - 2*s, v - s - 313 = 0. Calculate the highest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 1 + 3)*(47 + 33 + -73).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y. Suppose 0 = -6*s + 2*s. Let f = 4 + s. Let u(o) = -f*o + 4*o - 2*o**2 + 0*o**2. Calculate x(u(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 + 5*j**2 - 4*j**2 + 7*j**2 - 3*j**2 + 3*j**2 + (0*j - j - 7*j)*(5*j - 2*j - 4*j).\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239890*h + 4*l = 239891*h + 8, 0 = -2*l + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 93.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11.1 + -8.1. Which is greater: -0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 1148*d**2 - 4*d. Determine u(1).\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 418285, 418271, 418257, 418249, 418253?\n\"Answer: v**3 - 6*v**2 - 3*v + 418293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/((4\/20)\/((-5)\/(-25))). Solve -2*l = 3*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2268)\/sqrt(9) - sqrt(7) - sqrt(7)) + ((sqrt(448) - (-2 + sqrt(448))) + sqrt(448))**2.\nAnswer: 36*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8.3 and -152?\nAnswer: -1261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 73741175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - r - 8938, -4*r + 6*r - 35734 = -4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -21\/4  (b) 3  (c) 0.1  (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((25\/15)\/5)\/((-1)\/(-18)). Suppose -q = -7 + a. Let h be 52\/32 + (-4)\/2. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 13*a**3 + 543*a**2 - 3887*a + 59. Determine h(-48).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.45 bigger than 493947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 1907132?\nAnswer: -190712d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of f**9\/252 - 7*f**6\/60 + 43*f**5\/20 + 56*f**2. What is the third derivative of n(d) wrt d?\nAnswer: 240*d**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 4\/9, -1, -0.8548.\nAnswer: -1, -0.8548, -0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -150390899679 - 0.0764.\nAnswer: -150390899679.0764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*i - 38, 77 - 6 = 5*c + 2*i. Does 28 divide 1124\/10 - 6\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*p + 29900016, -13933108 = -5*h - 2*p + 15966900. What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 6*w**2 + 7*w - 7. Let l be 4\/(-6) - 34\/(-6). Let h be o(l). Let b = 3 + h. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4) - (-10)\/120*-18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 + 17463*v**2\/2 - 43667*v\/2 + 13101.\nAnswer: (v - 1)*(v + 8734)*(2*v - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1550156.\nAnswer: 2, 191, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-162)\/36*(1 + (-3)\/9). Which is the third smallest value?  (a) 2\/13  (b) 0.3  (c) -2\/3  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(28)\/(sqrt(44)\/sqrt(44)))*-4 + 1)*-6.\nAnswer: 66 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 13*r**2 + 3. Let a be x(13). Let d(n) = 15*n - a*n + 4319 - 4327 - n**2. Give d(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -27*a**2 + a + 1. Give f(2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 69. Let m = 39 + r. Is (-1)\/(2\/(-14))*(58 + m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 741.3916462 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-864)\/(-792)*(-2)\/(-6)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 972 and 2.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -194.\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**2\/13 - 65967042*x\/13 - 131934076\/13 = 0.\nAnswer: -32983519, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = h, -p - 2*h + 1 = 0. Let m = 6 + -2. Calculate the least common multiple of p and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-18 - -24 - (8 + -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 3, -0.5, 2, 0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22 + 1240?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2918.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44250 and 2625?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -102321 (base 8) to base 15\nAnswer: -a11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 165915, 175539, 185161, 194781?\nAnswer: 204399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 2*v - 3*l, 2*l - 100 = -3*v - v. Let d = -23 + v. Suppose d*c = -c. Solve 0*n = -5*p + 3*n - 16, 5*n - 10 = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*v = -66*v + 2175. Let n = v + -686. Which is the third smallest value?  (a) n  (b) -2  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -57*x - 58*x + 170*x - 59*x. Let q(c) = 3*c - 160. Determine q(d(n)).\nAnswer: -12*n - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*k**2 + 3*k**2 + k + 5*k**2 + 2*k**2 - 1 + 1 + (0 + 2 - 4)*(-5*k**2 + 0*k**2 + 3*k**2) + 2*k**2 + 4*k - 4*k.\nAnswer: 12*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 8*i. Let r be s(-5). What is the tens digit of 5 + (-4 - -1) - r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 120765*v**2 + 82047?\nAnswer: 241530*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 9*s**2 - 6*s + 9. Let k be x(3). Let w = -20 - -34. Let f = k - w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**6\/20 - g**5\/20 - 9*g**2. What is the third derivative of q(x) wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(0*u - u - 4*u + 3*u - 5*u + 3*u + (-3 + 1 + 0)*(4*u + u - 3*u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**5 - 48*j**4 - 228*j**3 - 536*j**2 - 624*j - 288 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 76034.8 nanoseconds?\nAnswer: 76.0348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1440 = -0*d - 4*d. Suppose 3*k = -2*k + d. Suppose -k = c - 5*f - 207, 0 = -4*c - 2*f + 540. What is the highest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 2*y + 3. Let f be g(2). Let p = 9 + -9. Suppose f*h + 19 - 97 = p. Solve -2*v = 5*m + 26 - 10, -h = 5*m - 3*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 1015*k**2 - 64262*k + 16129.\nAnswer: -(k + 127)**2*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -462902, -925775, -1388648?\n\"Answer: -462873*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6677046 grams to milligrams.\nAnswer: 667.7046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-20) + 13*(-3)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*t**2\/3 + 13*t + 20\/3.\nAnswer: (t + 5)*(7*t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13611484 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*d - 120 = -2*u + 94*d, -3*u - d + 180 = 0. Is 60 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -5*f**7\/14 - 19*f**6\/70 + 57*f**5\/70 + 4*f**4\/7 - 938*f. What is s in x(s) = 0?\nAnswer: -8\/7, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -0.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3229?  (a) -6  (b) -2.3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - r**2 + 6*r + 8. Is s(-5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 5\/2  (c) -4  (d) -0.1  (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12188.032 + -12144. Round o to 1 dp.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(110) - (1*sqrt(110) - sqrt(110)))\/sqrt(10) + sqrt(11) - (sqrt(11) + (sqrt(11) - (2 + sqrt(11))*-3)))**2 + -1.\nAnswer: 36*sqrt(11) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46275\/48776 + -2\/871. Find the common denominator of f and 87\/7*(-7 - 1460\/(-210)).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -520*z**3 - 6*z**2 + 12*z. Let c(r) = -387399*r**3 - 4471*r**2 + 8942*r. Give -6*c(o) + 4471*f(o).\nAnswer: -526*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1070350491?\nAnswer: 3, 7, 50969071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82.3827 nanograms to micrograms.\nAnswer: 0.0823827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, y: 7, e: 1, n: 2, j: 4}. What is prob of picking 1 e and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**3 - 6*d**2 - 2*d - 49. What is the tens digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17, -67, -229, -569, -1153, -2047, -3317?\n\"Answer: -11*s**3 + 10*s**2 - 3*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -359 + 354.19. Let w = 3.796 + o. Let z = w + 0.014. Are -0.2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139237?\nAnswer: 7, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/3 and -74\/41619.\nAnswer: 41619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + 3. Let m be 10*(-1 + z\/12). Suppose -3*h + p = 6, 6*h = 4*h - p + 1. What is the third smallest value in m, 3\/2, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 3:26 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1068160539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 1.751?\nAnswer: 0.3502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does -2093 = -2072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - w, 0 = -0*c + c + 2*w - 9. Suppose -c*o = o - 40. Solve -3 = -3*s + v - o, s - 11 = -3*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60100*k**3 + 4*k**2 - 2606*k - 1 wrt k.\nAnswer: -360600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 135800171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 607915753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-104)\/(-12))\/(1754\/(-7893))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 2:52 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 4*s - 10. Let f be i(-7). Suppose -f*b + 2752651 + 4837349 = 0. Round b to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6065 + -5404. Sort t, -3, -2.\nAnswer: -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 5*c + 10, 2*c - 5*c = -4*w - 6. Is 2\/27 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147582567059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 25515, 25513, 25511, 25509, 25507?\n\"Answer: -2*n + 25517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 0)\/((-5)\/10). Let w(o) = -279*o. Let s(x) = -70*x. Let j(t) = 15*s(t) - 4*w(t). Let f be j(y). What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.162 and 1126.73.\nAnswer: 182.53026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r - 7. Let z be j(-6). Suppose -38*h + 37*h = -69. Calculate the remainder when h is divided by 2 + -1 + z + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-50)\/5*(-9)\/15. Find the second derivative of 0 + n*i**4 + 4*i - 2*i**4 + 0 wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - h - 13*h + h = 540 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 360.655724326 and 0.1.\nAnswer: 360.755724326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = c - 3, -2*c - 7 = -7*c - 2*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -10946\nAnswer: 21892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2\/13*s**2 + 842\/13 + 844\/13*s = 0.\nAnswer: -421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 1. Let k = -0.002 + 0.03. Let h = k + -0.528. Put h, z, 3\/7 in decreasing order.\nAnswer: 3\/7, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166123 is divided by 82965?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333 (base 4) to base 14.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1738 - 58472?\nAnswer: -5a0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**4 - 16377947*u**3 - 230*u + 2806?\nAnswer: 12*u**2 - 98267682*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*f + 58 = 0, 3*f - 4*f = -5. Suppose -2*g + s = -2*d, -4*g + d - 4 = -6*g. What is the units digit of 1\/g + (-44)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 6*i**2 + 5*i + 2. Let m be g(-5). Let v be 3 - (m + 0\/(-2)). What is the second derivative of 1 - v + f**4 + 4*f + 0*f wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + 71*g**2 + 25*g + 983. What is the thousands digit of t(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 2*m**2 - m + 2. Let v be r(0). Solve -v*q - 3*j + 1 = 0, -q + 3*j + 19 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -722.20755 + 722.6. Let m = -0.2826 + p. Let l = 0.11 - m. What is l rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2.1. Let m = -0.19 - 0.91. Let x = i - m. Sort x, 3\/4, 4 in ascending order.\nAnswer: 3\/4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 12*z - 11. Let b be a(2). Let w = -11 + b. Suppose 2*g = -2*f + g + 8, -3*f + 5 = -w*g. Is f at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*y**2 - 9*y**3 + 9*y**2 + (-3 - 2*y**2 + 3)*(0*y + y + y) - 1 + 1 - y**3 - 5*y**3 + 1 - 1 as r*y + z*y**2 + s + u*y**3 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -6*u**2 - 23*u - 7. Let k(j) = -7*j**2 - 24*j - 7. Let p(y) = -5*k(y) + 6*t(y). What is the tens digit of p(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5*i**2 + i + 5. Let z be 1*(1 + -2 - 0). Let b(q) = -1. Let a(v) = z*o(v) - 6*b(v). Let c = -23 - -24. What is a(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - n - 3*n = -36, -63 = -g + 5*n. Suppose 4*i + g = 8*i. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*w**4)*(-2 - 1 + 2 + (5 + 1 - 5)*(5 - 4 + 1) + 871 + 542 + 327).\nAnswer: -3482*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 22, -4\/5, 2\/183, 0 in descending order.\nAnswer: 22, 1\/2, 2\/183, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 680270.\nAnswer: 2, 5, 59, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 28884603 to the power of 1\/2, to the nearest integer?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -379.387 - -412.3893. Let l = -50 + 83. Let i = l - u. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8048, -7926, -7722, -7436, -7068?\nAnswer: -6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of 11*c**5\/5 - 5*c - 7. What is the first derivative of u(f) wrt f?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 177756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -303 + 504?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2 = 4*z. What is the second smallest value in 0.2, z, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/(-135) - ((-8)\/27)\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-3) + 468\/270 + -4. What is the second biggest value in -2\/7, -0.27, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95945 and 424855.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 43.61\nAnswer: 13.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6279 and 2777502.\nAnswer: 63882546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 891c (base 16) to base 3.\nAnswer: 1210011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -22. Let v = p + -5. Let j be (-2 - -1) + (-8)\/(-10). Which is the nearest to -0.1?  (a) j  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 4 + 1 + 25217*j.\nAnswer: 25217*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r - 1. Let d(g) = 3 + 25*g + 25*g - 6 + 4. Let x(a) = -d(a) + 5*k(a). Differentiate x(u) with respect to u.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 20 + 61. Suppose -3*k + 2*s + 421 = 0, -41*s + 39*s + 377 = 3*k. What is the remainder when k is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 286 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -65257, 5\/4, -5 in descending order.\nAnswer: 5\/4, -5, -65257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3, 1, -11, -39, -89, -167, -279, -431?\n\"Answer: -z**3 + z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -96070021 - 0.1?\nAnswer: -96070021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 399, 425, 461, 501, 539?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 991357970 rounded to the nearest 1000000?\nAnswer: 991000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2, -5, -2\/19, -1.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 14 = -3*z, -5 = 2*z - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 483744, -2 in increasing order.\nAnswer: -2, 1, 483744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -20448 from -0.66791.\nAnswer: 20447.33209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 249c4?\nAnswer: 249c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (7 - (16 + -2 + -12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -0*w + 13*w. Determine v so that 2231*v**2 + 8*v**w - 4*v - 2231*v**2 - 4*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 2613*r - 2614*r + 14 = 0, -2*i + 28 = 2*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1913379173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.4 - 5. Let m be (((-4)\/(-10))\/(-2))\/((-71)\/(20235\/(-228))). Put r, 2\/159, m in decreasing order.\nAnswer: r, 2\/159, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.5 - 2.5. What is the second smallest value in 3\/7, b, 5, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 13. Let x(f) = 6*f + 64. Let w(b) = -22*s(b) + 4*x(b). Let n be w(15). Suppose n = 5*m - 96 + 6. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(3*sqrt(425)*4 + sqrt(425) + sqrt(425) + 4) - -1*(-3*2*sqrt(425) + 1 + -1 + sqrt(425) + sqrt(425)))**2.\nAnswer: 1920*sqrt(17) + 244864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 6 = 26. Let z = 596 - 598. What is the third smallest value in z, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j. Let y(c) = 112*c - 207*c + 120*c. Give y(s(t)).\nAnswer: -100*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 0.01, 1, 1\/2.\nAnswer: -0.08, 0.01, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 15*f**2 + 21*f + 25. Let q be k(-16). Let a = q + 77. What is the remainder when 42 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*d + 2*o, 0 = -o - 5. Let y be d\/6*(-2)\/4*0. Suppose y = 2*r + 73 - 213. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 16  (b) -2  (c) -10.1769  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49, 89, 159, 271, 437, 669, 979?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 39669857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -30765 (base 8) in base 6?\nAnswer: -135113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 5*b + 40, 90*b - 85*b = 3*p - 48. Let f be (-63)\/(-30) - 4\/(-10). What is the fourth smallest value in f, b, 0.4, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 - 19*p + 19. Let w be k(-20). Let z(v) = 90*v**2 + 3*v + 3. Does 15 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -184 and -179 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (-20)\/60*(1 + 2). Suppose 3*w - 32 = -q, 1 + 2 = 2*w - 3*q. Let r be w\/(549\/(-242)) + 4. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3\/15 + 818*j**2\/15 + 832*j\/15 - 328 = 0. Calculate j.\nAnswer: -3, 2, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 120 divided by -10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10859 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r\/r**(5\/4))\/r*r*(r**(-6)*r)\/r*r*r*r*r**(2\/21)*r**(-8))\/((r**(-1))**(-17)*r*r**(-1\/16)*r**(1\/3)*r*r) assuming r is positive.\nAnswer: r**(-10223\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3275\/224268 or 0?\nAnswer: -3275\/224268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*j, 0 = -i - 4*j - 679 + 704. Let l(s) be the first derivative of 15\/2*s**2 - i*s + 5\/4*s**4 - 5*s**3 + 11. Determine m, given that l(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -263*d**2. Let u(m) = 2*m. What is u(l(w))?\nAnswer: -526*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 18*x + 85. Let u be j(9). Let g be (-1)\/(-1)*1\/1. Sort g, -2, u.\nAnswer: -2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 123 (base 4) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 177*c - 1434. Let k(r) = r**2 - 532*r - 4304. Let d(w) = -3*k(w) + 8*y(w). Factor d(v).\nAnswer: 5*(v + 12)*(v + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nhhruuhshsnr. Give prob of picking 1 n, 1 u, and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**2\/11 - 56*b\/11 = 0 for b.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l - 4 - 2 + 6 - 3*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 243918379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (2 - 3) - (51 - 67).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4*y - 16 = 0, 0 = 2*r + 5*y + 4 - 17. Suppose g = -n + 4, 6*n + 16 = 2*n + 4*g. Solve 2*o - 4 - r = n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2984323565 rounded to the nearest 100000?\nAnswer: 2984300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27addc (base 16) to base 5.\nAnswer: -1131203122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (1 - 5) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 105 - -135621?\nAnswer: 136026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1565 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*x = -72*x - 45*x + 352. Solve 479*u - x = 477*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003222 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -78, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/7 - 4132*v**2\/7 - 590*v.\nAnswer: -2*v*(v + 1)*(v + 2065)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 134414 and -68055.\nAnswer: 66359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -127663 (base 9) to base 3.\nAnswer: -10221202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2006400098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3155.\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9743 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 - 4*a + 3. Calculate the least common multiple of h(-4) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 138 = 6*t - 2*t, -5*y = -3*t + 107. What is the remainder when t is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 9:27 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**3 - 4*w**2 - 4*w - 29. Let q(n) = -3*n**3 + 5*n**2 + 5*n + 28. Let s(a) = 5*h(a) + 4*q(a). Find the first derivative of s(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**3 - 2*i**2 + 4*i + 24. Calculate j(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*w + 37*w + 8*w**2)*(-w - 1 + 1).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*j. Suppose 0 = -4*m + 5*s + 106, -5*m - 5*s + 44 + 66 = j. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2002 - 1396 = 370*a + 221 + 81 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 0.1, -28, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5339035 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4*i = -614, 3*k = 4*k - 3*i + 196. Let o = 82\/69 - 12\/23. What is the biggest value in k, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 425, 413, 387, 341, 269, 165?\n\"Answer: -w**3 - w**2 - 2*w + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11\/(572\/39) - (-93146)\/8 - -2?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*x**3 + 224*x**2 + 21*x**3 - 7*x**3 + 15*x**3.\nAnswer: 54*x**3 + 224*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 4*k**2 + 7*k + 6. Let j = -649 - -645. What is r(j)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 412196 is divided by 875?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45096296 is divided by 1068?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (-18 + 18)) + (7 - 1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 18 = -24. Suppose -28 = -q*b - 4*h, 0*h = 5*b + 3*h - 43. What is b rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/8 in -5\/4, -0.1, 3, -4, -2\/10469, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 13*w**2 + 28*w + 55. Give y(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -30078425.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 676800 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 940\/3384*(-16)\/10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -2*-2*sqrt(275) + 5)**2.\nAnswer: 120*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1 + 2*j - 9 + 7.\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61267 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.269 - -0.162. Let y = o + 0.1070106. What is y rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 0 - (2 - -3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 74000 rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -2*o**3 - 21*o - 1907. Let j(i) = -4*i**2 - 14. Give 8*j(m) - 5*y(m).\nAnswer: -2*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of 23*g**6\/360 - 37*g**4\/24 - g**3 + 31*g. Let m(l) be the second derivative of v(l). Differentiate m(d) with respect to d.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*l + 14*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w + 5. Let u be o(-7). Let k = -9 + u. Let m(b) = 4*b**2 - 5*b + 3. What are the prime factors of m(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 7*p**3 - 16*p**2 - 5*p - 39. Let g(r) = 9*r**3 - 16*r**2 - 4*r - 39. Let h(y) = -3*g(y) + 4*z(y). Does 45 divide h(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173394 divided by -2.\nAnswer: -86697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ikandati. What is prob of picking 1 d, 1 k, and 2 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -107\/30 + 82\/5. What is the common denominator of o and 21\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -5*(-1*sqrt(567)*-1 + sqrt(567)) + (3 + -3 + sqrt(448) + -1*((sqrt(448) - sqrt(448)*1) + sqrt(448)))**2.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 112 - -3?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of 0 + 1\/3*g**3 + 1\/4*g**4 + 0*g + g**2 + 1\/60*g**5. Let c(o) = 197 + 925*o - 932*o - o**2 - 199. Calculate 5*c(s) + 6*w(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a - 5*a + 3*a**2 + 1)*(4*a**3 + 3 - 3).\nAnswer: 12*a**5 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -77593, -77592, -77591, -77590, -77589, -77588?\n\"Answer: o - 77594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1598380913.\nAnswer: 1598380913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express y**4 + 3*y**2 - 3*y - y - y**3 - 4*y**3 + 5*y as f*y + n*y**4 + h + j*y**3 + p*y**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2*y = -134, 3*y + 634 - 793 = -z. What is the highest common divisor of z and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*24\/(-20)*10\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -11*m**2 + 239*m - 746. What is a(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrbrbbbbrbrrrrbr. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3\/4 - 45*u**2\/4 - 30*u - 25.\nAnswer: -5*(u + 2)**2*(u + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 325823 and 28.1457?\nAnswer: 325794.8543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**5\/20 - x**4\/12 + x**3\/3 + 37*x**2 + 3*x. List the prime factors of q(0).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fgfxgxxgxxfxfgygf. Give prob of sequence fgfy.\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*j**3\/5 - 63*j**2\/5 - j\/5 + 7\/5.\nAnswer: (j - 7)*(3*j - 1)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -27. Let u be (s\/(-20) - 1) + 1\/(-5). Solve 2*p - 2 = u, 4*i - p - 2 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 323609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 5351 divide 759344357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000708643603 rounded to seven dps?\nAnswer: 0.0007086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35292750 and 8250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z - 31 + 17 + 14.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -570681*m - 4779. Let g(b) = -14267*b - 118. Determine 81*g(a) - 2*l(a).\nAnswer: -14265*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.14913261 to two decimal places.\nAnswer: 18.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*h + h + 1 + 9*h - h**2 - 3*h**2 - 6*h + 6*h + (2 - h - 2)*(58 - 58 - 17*h).\nAnswer: 13*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z**2 + 13*z + 13. Let a(p) = 3*p**2 + 9*p + 9. Let x(d) = 7*a(d) - 5*o(d). Suppose -7*w + 2*w - 10 = 0. What is x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160418042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 36648*c**3 - 7*c**2 + 13*c - 12. Let j be f(7). Suppose 2*u + u + j = 0. Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - d - d)*(58 - 81 - 314)*(-3*d + 3*d + d**3).\nAnswer: 674*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39 + 17 + 13 + (-1 - (-8 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -225, -242, -259, -276, -293, -310?\n\"Answer: -17*c - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202 (base 13) to base 5.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 6:03 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/821 in 0.06, -2, 4\/9, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/4))**(-38)*o*(o*o**(-1\/4))\/o*o**(2\/9))\/(o\/o**9*o\/o**14*o)**49 assuming o is positive.\nAnswer: o**(34973\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 (base 16) in base 4?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -482*g**2 - 10*g - 11. Let i(a) = -75*a**2. Let b(j) = -6*i(j) + l(j). Give b(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 39\/(-52)*(0 - 4). Solve -c + 2 = -o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.4  (b) 101  (c) -1\/2  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*b - 3 = 67*b + 103 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 2:06 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332115 - 267665 + 21574 = 4550*p - 36756 for p.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8065471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -u**3\/2 - u**2\/2 - u. Let i be h(-1). Suppose -i*d = -18 - 0. Solve -3*g + 0*s = -s + d, -3*g = -2*s + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-78022)\/84*-18)\/((-6)\/(-4)).\nAnswer: 2, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j**5 + 5*j**5 + 8*j**5 - 3*j**5 + 2*j**5 - 2*j**5 + (0 - 2*j**2 + 0)*(-6*j**3 + 3*j**3 + 2*j**3).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -9*c - 9. Let k(x) = -x**3 - x - 1. What is -b(w) + 9*k(w)?\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 16*x**2 + 20. Let t be q(-16). Suppose -5*c = -5*l - t, -4*c - l - 3 = 6. Let z be (c + -3)*2\/(-24)*2. Which is bigger: 2.3 or z?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 30*a**3 + 23*a**3 + a**2 - a + (a - 3*a + 4*a)*(-3*a**2 - 2*a**2 + 2*a**2).\nAnswer: -13*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -646.83 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -38. Let t = -779 - -922. Calculate the remainder when t is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 1377.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 155 + 24*d**2 + d**4 + 147 - 302 + 16*d + 9*d**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 5  (b) -0.4  (c) 20  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 334?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (-2 - -2) - 7) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccgw when four letters picked without replacement from {w: 1, c: 2, g: 8, z: 2}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 6824, -2\/7, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 82.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1469 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 415 = -o - 424, -87*o - 91 = t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6*x + 12 = 2*x, -4*x + 4 = o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*((c**(-14)*c)\/c)\/c)\/c*c)\/(c\/(c\/(c**(-29)*c)*c))*(c**(-9\/4)*c)**7)**(-1) assuming c is positive.\nAnswer: c**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - 4 - (0 + 0). Let w be ((-32)\/(-6))\/(l\/(-6)). Let p = w + 34. What is the greatest common factor of 90 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318713 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v*w**4 - 2*v*w**3 - 94*v*w**2 - v*w - 28*w wrt w?\nAnswer: 12*v*w**2 - 12*v*w - 188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001606186 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6607488?\nAnswer: 2, 3, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b + 25 = 3*o + o - 0*o, -b - 9*o + 12 + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*p + 235 = 0, 5*a - 2*p + 250 = -p. Let b = a - -15. Let q = b + 39. Put -3, 5, q in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 346212532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - -31. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2399709*k - 2399709*k - 8*k**2. Let r(y) = 2125*y. Determine w(r(t)).\nAnswer: -36125000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -402.90712 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/25)\/((-10)\/500*-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*x + 18*x - 16*x - 42*x - x.\nAnswer: -74*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d - d**3 - 3*d)*(2*d - 3*d + 2*d) + 464*d**2 - 128*d**4 - 464*d**2 to h + w*d**3 + z*d**4 + b*d + u*d**2 and give z.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1292 + t - 1297 + 2589 + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 3234, -18\/7, -5?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lotttqqtqq. What is prob of sequence otq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -429, -930, -1431, -1932, -2433?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 15*p**2 + 15*p + 19. Let c be b(-14). Let n = -1009 + 1009. Put 3, 13, n, c in descending order.\nAnswer: 13, c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**2 + s - s)*(-102*s**2 - 2*s**3 + 102*s**2).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*w - 538 = 395, -5*w + 459 = -m. Is m\/(-9) - 2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*o = 4*o + 20, 16 = 3*x - o. Suppose 0*z + x = 2*z. Solve 5*w + 6 = v, -z*v - 3*w = 14 - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303429832 to the power of 1\/2, to the nearest integer?\nAnswer: 17419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 + (2 - -4) - 3) + (-82 - -92).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4388860530 to the nearest 100000.\nAnswer: 4388900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 42 = -11*i. Suppose 5 + 7 = 3*d. Solve d*n = i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h**2*k*n**3 + 56*h**2*k*n - 11046*h**2*n + 1104*k - 7*n**3 wrt k?\nAnswer: h**2*n**3 + 56*h**2*n + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -12, 4 in ascending order.\nAnswer: -12, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/59816 and 131\/12.\nAnswer: 179448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 88915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 19*q + 29. Let s(w) = 3*w + 6. Let i(y) = -4*b(y) + 19*s(y). Calculate i(8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(165\/50))\/(10\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**5 - 696*n**4 + 85*n**2 + 10 wrt n?\nAnswer: 60*n**2 - 16704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -148, -232, -318, -400, -472?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -136750 rounded to the nearest one thousand?\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1343.5 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-2 + (-146)\/(-74)). Suppose 29*v = r*v - 192. Calculate the remainder when 42 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14983168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*c + 2*d, -4*c - 7 = -5*c - 2*d. Let n = 27 - c. Let p(y) = 3*y**2 - y + 4. Let x be p(3). Calculate the highest common divisor of n and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 5430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.03 - -0.04. Let b = d + 0.23. What is the third biggest value in b, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2833 + 27300. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**6\/6 - 2*w**3\/3 + w**2\/2 + 24*w - 25. What is the second derivative of m(y) wrt y?\nAnswer: -20*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-2))\/((-4)\/(-16)). Suppose 4*r - 4 = -4*k - k, 4*r + 24 = x*k. What is the second derivative of -y**k - 5*y + 4*y + 3*y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + v**2 - 2*v + 2. Let j be m(1). Suppose 19 = 4*i - 3*t, 3*i + j*t = -i - 6. Which is smaller: -2\/9 or i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162 - 163 + 325 - 230*n**3.\nAnswer: -230*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -579, -1263, -2069, -2985, -3999, -5099, -6273, -7509?\n\"Answer: 2*q**3 - 73*q**2 - 479*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 (base 12) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 6. Let u(m) = 156*m**2 + m - 2. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*t**4 + 4*t**4 + 350 - 367 + (-1 + 1 - 1)*(t**4 + t**3 - t**3) in the form p*t**3 + a*t**2 + j*t + q*t**4 + b and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of -k**6\/120 - 2*k**5\/15 - k**4\/6 + k**3\/3 - 60*k**2. Let d be n(-8). Calculate the greatest common factor of d and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 309532933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + h = -0*h + 57, 3*i = -3*h + 36. Let f(a) = a + 24. Let k be f(-8). Suppose i*s - k*s = -39. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(1872)*-1.\nAnswer: -12*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, 21, 3\/2, 3, 5 in ascending order.\nAnswer: 3\/2, 3, 5, 21, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/2  (b) 0.2  (c) -5  (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-8) - (-15)\/6. Let q be 1\/2 - (-33)\/6. Factor q*b**3 - b**3 - 3*b**z + 4 - 4*b**3.\nAnswer: (b - 2)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1144505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 114270428 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21979 = 3*l + u, -12*l + 15*l = 4*u + 22004. Calculate the highest common divisor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1285 = -9*t + 5717. What is t rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/36467 and -90 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -3. Suppose -9 = v*o - 1. Let f = -8 - -11. What is the biggest value in f, o, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(2\/5))\/j)**(-1\/38))**(20\/11) assuming j is positive.\nAnswer: j**(-4\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 6:55 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.426 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d**3*h**2 - 6*d**3*h*o*p - 359*d**2*h**2*o*p - 72*d**2*h**2 + h**2*o - 24*h**2 wrt p.\nAnswer: -6*d**3*h*o - 359*d**2*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-640)\/384)\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - -9. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22574*w + 22574*w - 1342*w**2.\nAnswer: -1342*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 bigger than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 107 + -724. Let s = -617 - c. Put s, 0.3, 207 in increasing order.\nAnswer: s, 0.3, 207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-21)\/12 + (-16)\/64. Let f be ((-1)\/(c\/(-2)))\/(1\/(-3)). Solve -3*v - 4*k + 1 = -27, -16 = -f*v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 30*i**2 + 22*i - 191. Let q be d(-29). Solve -6*j + j + 21 = -3*m, 3*m - 2*j + q = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h - 12. Let b(r) = 21*r + 8. Calculate c(b(p)).\nAnswer: -42*p - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23137090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 179, -0.056, 1\/6, 2, 5 in descending order.\nAnswer: 179, 5, 2, 0.5, 1\/6, -0.056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -296*y + 2 + 5 - 4720*y - 4.\nAnswer: -5016*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 19*q - 25. Let b be p(-20). Put 2, -1\/6, b in decreasing order.\nAnswer: 2, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*h**5 - 2295*h**4 - 9290*h**3 + 13870*h**2 + 9285*h - 11575 = 0. Calculate h.\nAnswer: -5, -1, 1, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**3 + m**2 + m - 1. Let p be o(1). Suppose -30 = -5*v + p*v. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -408537589 + 0.4.\nAnswer: -408537588.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 19.5. Let w = m + -87.5. Let a = w + 84.000091. What is a rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 4*s**2 + 3*s - 5. Let k be c(4). Suppose 2*w - k*w + 10 = 0. Find the third derivative of -6*u**3 - 6*u**3 - 9*u**3 - 5*u**w wrt u.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -324.8989 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**3 - y**3 - 3*y**3 + 2*y**2)*(0 + 1 - 3 - 1 - 2 + 2 + (-2 + 0 + 4)*(-4 + 4 - 1) - 4 + 7 + 8).\nAnswer: -18*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -529148.\nAnswer: 3\/529148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 578 or 898?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*k + 108*k - 468 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/5  (b) -11  (c) 1.6  (d) 4  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -16\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69, 73, 81, 93, 109, 129?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -13 - 8. Let m = r + 19. Suppose -5*j - 4*s = -75, -2*j + 2*s + m = -0*j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24124 + -11304?\nAnswer: -40433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*r - 1515424 = -1515742 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 12832117 = d. Let n = 5732117 + d. What is n rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1)\/((-11)\/(-41965)*-7). Suppose b + 3*m - 108 = 0, -a = -5*b - m - 61. Calculate the remainder when b is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231275?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 408.83 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*a = 16*a - 24*a - 271138. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4326*j**3 + 191*j**3 + 1690*j**3 - 2*j - 1.\nAnswer: 6207*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 392713613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 11:19 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 136966202 to the nearest integer?\nAnswer: 11703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 9*u**2 - 3*u - 54. Let b be x(13). Suppose -588*t = -b*t - 22000. Round t to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -466 times -136\nAnswer: 63376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 3*b**2 - 2*b + 2. Let k be m(-2). Suppose -3*v + k*c + 0*c = 89, -5*c = 25. What are the prime factors of (2\/3)\/((-2)\/v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -187\/44064720 and 43\/5245800?\nAnswer: 220323600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -5*f - 29 - 0, -j + 5*f + 27 = 0. Suppose i = 3*x + 1, -4*x + 1 = -3*i + 4*i. Is i less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666*j - 3802*j = -179*j - 257340 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 68633989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -674693 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -k**4 - 43*k**2*p + 43*p wrt k?\nAnswer: -4*k**3 - 86*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/5 - 1596\/(-60). Let n = 57 + y. Calculate the highest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 517*v + 1295. What is d(-3)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 682952251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -80404*v - 1527668. What is j(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.957 - -0.043. Let m = -22.1 + j. Let x = m + 13. Is x less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -284 - -289. Suppose -p - 425 = 5*a - 2685, 0 = 4*a - n*p - 1779. What is the highest common factor of 41 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t. Let g(d) = -5892*d. Give j(g(q)).\nAnswer: -11784*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 5. Is u(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t + 102. Calculate g(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2341041690 rounded to the nearest one hundred thousand?\nAnswer: -2341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 97 in -2\/265, -4, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 508*z - 9. Let t(q) = 168*q - 3. Give 2*a(w) - 7*t(w).\nAnswer: -160*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167, 160, 151, 140, 127?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + 18. Suppose -2*y - b = -2*l + 4, 5*l - 53 = y. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 17 = 5*w, 17*b - 16*b - 2*w = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-4 - 0 - (-16 - (-11 + 9)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30378074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1737, 1735, 1731, 1725, 1717, 1707?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttqqttt.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - g - 3*g)*(1584240*g - 1584240*g - 119 - 2*g**2).\nAnswer: 8*g**3 + 476*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 108949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*a + 24*a - 2. Let y be 22\/a - 6\/(-1 - 1). Calculate the remainder when 9 is divided by (6\/(-9))\/(y\/48).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 134*r - 28 - 362*r.\nAnswer: -228*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/15 + 2\/(-11) - -4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(108\/16)\/(990\/(-192)*-4)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1268668 (base 9) to base 14.\nAnswer: -141553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 77 - (13 + -11) - 30\/3. Solve 47*y = -18*y - k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12721 - 3630. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + 2*j**2 + 3*j - 1. Let l be (0 - 9)*(-2)\/6. What is v(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 9 = 4*c, 2*c + 7*i - 7*i = -6*i + 32 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -39, -53, -65?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10579\/18  (b) 85  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11018*z + 11018*z - 2*z**2 - 23 to r*z + p + n*z**2 and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 455542615 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 7) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16.65056 + -16.6. Let w = q + -0.05. What is w rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102\/230839 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22169.\nAnswer: 7, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40*s**2 - 10*s**3 + 20*s**3 + s**5 + 3*s**3 - 21*s**4 - 9*s**3 + 14*s**3.\nAnswer: s**2*(s - 20)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 228 + -395. Let c = 166.99999923 + u. What is c rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2666 or -2663?\nAnswer: -2666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(441)*-1 - sqrt(441))*-2)\/((sqrt(1008) + 2*sqrt(1008))*-1)*4 + 4.\nAnswer: -4*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - 5) + 2\/2. Let m be -3 + 1 + 0 + 23 + -27. Let s be ((-1)\/(-2))\/(m\/60). Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 167\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*d - 38802 = 0, a + 5*d = 5*a - 51731. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -301.589898 rounded to 2 dps?\nAnswer: -301.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 560 = -2*l, 4*p - 4*l = -340 - 228. What is the units digit of (6\/9)\/((-4)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2227 (base 14) in base 10?\nAnswer: -5915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 16, 2*m = -3*l + 3022 + 3036. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/55 + (-59)\/(-10). Which is smaller: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -13 from -406791329480.\nAnswer: -406791329467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/22 and 71\/7160?\nAnswer: 78760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1241805 by -3.\nAnswer: 413935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppupuuuuppvaaupp. Give prob of picking 1 p and 2 a.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6898708 is divided by 1862?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-120)\/(-322) - (-16 + (-11 - (-10591)\/391)). Let i = 0.1 + -0.3. Let k = i - -7.2. Which is the second smallest value?  (a) 5  (b) y  (c) -4  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-37855562)\/(-342) + 110\/33*3\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -7*i**3. Let z be t(-1). Suppose -z*s + 32 = s. Suppose s*q - 8 = 2*p, 2*q + q + 4*p = 6. Solve c = 5*m - 6, q*m + 3*c + 0*c - 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 2*d - 7, 2*j - 5*j + d = -6. Let r(g) = -g - 4. Let v(y) be the first derivative of -y - 1. Let w(l) = j*r(l) - 3*v(l). Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3382*g + 17 - 6760*g + 3386*g. Give x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66)\/495)\/((-11729)\/(-2331) + 9\/((-36)\/20))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -353*s**6\/60 - 319*s**5\/12 + 2248*s**2. What is the third derivative of v(z) wrt z?\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 654590?\nAnswer: 2, 5, 67, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 57048988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) -0.5  (c) -0.1  (d) 5  (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Suppose m*q + 12 = 18. Which is the closest to 1?  (a) q  (b) -3\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -18. Let f = a + 24. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-4 + -1 + -5 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 22*c**5 - 16*c**3 - 6*c - 16. Let f(g) = -7*g**5 + 5*g**3 + 2*g + 5. Let z(a) = 16*f(a) + 5*y(a). Find the second derivative of z(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -31 + c8088?\nAnswer: c8057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -53. Let b be ((162\/9)\/(-54))\/((-2)\/36). Suppose z + b*q - 2*q = u, 0 = 2*z + 2*q - 46. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 8*i**2 - 11*i + 2. Give j(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -9*n**4\/8 - n**3\/6 - n**2\/2 - 1. Let h(b) be the second derivative of a(b). Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/12 + 26\/3. Solve 4*s = -4*j - 20, -j - o = 3*s + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 42*c - 254. Determine z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 s when four letters picked without replacement from llrrossorooorrrolro.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (73632\/9)\/4 + 8\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5062\/55 + -92. What is the common denominator of 431142\/(-380100) - (-2)\/(-7) and p?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 27*j**2 + 4*j - 2. Let i be z(4). Suppose 0*f + 3*f + 288 = 2*c, 0 = -3*c + f + i. Let m be (c\/8)\/((-3)\/2800000). Round m to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**2 - 7*w + 12. Let z be d(0). Let f(p) = 4*p + 9*p + z*p - 4*p. Let u(r) = -2*r + 0 + 0. Determine f(u(g)).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - (-6 - -17))*((-3272)\/(-6) + -1). What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -1, 10, -2\/11, 9.\nAnswer: -1, -2\/11, 1\/3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t - 458. Calculate y(6).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7638.8 - -6259.987348.\nAnswer: 13898.787348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 7*a. Let o(v) = -21*v. Let q(s) = 7*f(s) + 2*o(s). Let x(z) = 1. Let u(t) = t - 3. Let j(b) = u(b) + 3*x(b). Calculate j(q(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -375 + 8*b**3 - 4*b**5 + 375 - 4*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + -3. Let d(z) = -19*z**2 + 2*z - 6. Let p(a) = -20*a**2 + 2*a - 7. Let u(q) = w*d(q) + 5*p(q). Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/2163 and 81\/7000?\nAnswer: 2163000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from jpzzazajjaazz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + -6*(-3)\/45. Let q be (8 + -3 + (-3 - 2))\/(-2). Let v = -2 + 1.8. Put -3, g, v, q in decreasing order.\nAnswer: g, q, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5*n = 2*r - 34, 0 = -2*r + n + 57. Let i = r + 33. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-3)*7\/(-21))\/(6\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**4 + q. Let t(s) = -166*s**4 - s - 197. Let u(w) = r(w) + t(w). Differentiate u(f) wrt f.\nAnswer: -668*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 2  (c) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32010441, 32010439, 32010437, 32010435, 32010433, 32010431?\nAnswer: 32010429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**3 + 4*a**2 - 48*a + 522. Let z be g(12). What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3*b = -15, -2*z = -4*z + 4*b + 20. Suppose 8*n - 11*n = z. Suppose -5*j - 4*j = -27. Solve -j*h - 15 = -n*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.123873498 rounded to three dps?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -4\/7  (b) -27  (c) 60  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 363*c - 6722. What is x(23)?\nAnswer: 1627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/10 + (-70977)\/1180 + 60?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -3*p**3 - 8*p**2 + 17*p. Let y(g) = g + 1. Let c(z) = -j(z) + 3*y(z). Find the first derivative of c(r) wrt r.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12014 (base 12) to base 5\nAnswer: 1233313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -88884 and -0.17.\nAnswer: -88884.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 721.7937us in hours?\nAnswer: 0.00000020049825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*v**2 + 15*v**2 - 47*v**2 + 20*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5 - 2*x**3 + 5*x**3 - 5*x**2 - 2*x**3. Let r be n(5). Suppose c - r = -1. Solve -3 = -c*o + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -432 + n**2 + 972*n + 431 - 3*n**4 - 201*n**3 - 152*n**3 wrt n.\nAnswer: -36*n**2 - 2118*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 103017 or 103020?\nAnswer: 103017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3694, -3682, -3670, -3658?\nAnswer: -3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*j = -23*j - 18. Solve j*d - 14 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 32*b + 37*b = 4011, 0 = -4*u + 4*b + 15876. What are the prime factors of u?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.3, 0.5, -1\/43, 1 in descending order.\nAnswer: 3, 1, 0.5, 0.3, -1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4*m = -10179, 12 = -4*m - 4. What are the prime factors of f?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - 12*m**2 + 2*m - 33. Determine x(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12994 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-98)\/21*(-24)\/(-126)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 2*c + 2*c**2)*(116 + 56*c**3 - 116).\nAnswer: 112*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 657115 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 12\/11*v - 2\/11*v**3 + 2\/11*v**2 = 0. Calculate v.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-10)*-103133 - (-62)\/155 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (-46 + 37)) + (3 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.004*636512\nAnswer: -2546.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -424*r + 426*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8436379\/72 - 117170. Calculate the common denominator of p and -89\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-160)\/6)\/1*-3. Let n be 129\/4 + -4*5\/i. Which is greater: n or 61\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0423 + -0.3577. What is the biggest value in d, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 96, 3\/5, -10, 2204, -1\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -348870 minus 21790.9551?\nAnswer: -370660.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1711, -0.3, -0.2, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**5\/20 - 5*d**4\/12 - 2*d**3\/3 + 2*d**2 - 2*d + 5. Let w(h) be the first derivative of t(h). Let b = -9 - -5. What is w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 297 and 37323.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8507*m - 3248 = 8710*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 5:46 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -1777*g + 7. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8\/13, -0.6, 1\/3, 1\/4 in decreasing order.\nAnswer: 8\/13, 1\/3, 1\/4, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.332?  (a) -1.1  (b) -2  (c) 5  (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 601 divide 107587414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 9 = 2*g, 0*g + 9 = y + g. Factor 36*q - 12*q**2 - 36 + 4\/3*q**y.\nAnswer: 4*(q - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115 + 36 = 10*a + 3*h, 21 = -2*a - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69 - 39. Suppose 0 = -12*r - i + 78. Suppose -3*g + 2*u = -14, 5*g + r*u = -u - 10. Solve 3*c + g = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 6 = -5*p + 3*p, -30 = -2*p - 4*q. Suppose 513 + 432 = p*u. Suppose 18*y - 21*y = -u. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50753*c = 51397*c + 13524 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -635, -2572, -5821, -10388, -16279, -23500, -32057, -41956?\n\"Answer: -m**3 - 650*m**2 + 20*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -120  (b) -2\/9  (c) -4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/3))**(2\/59)\/(((u*u*u\/(u\/(u\/(u*u**(-7)*u)))*u)\/u)\/u**(-1)) assuming u is positive.\nAnswer: u**(-1591\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**7)\/(m\/m**6)*(m*m*m*(m\/m**(2\/5)*m)\/m)**34 assuming m is positive.\nAnswer: m**(677\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5807 + -0.7807. Put 0.01, 372, p in decreasing order.\nAnswer: 372, 0.01, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -792.7 * -0.6.\nAnswer: 475.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 37337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 2*x + 3*x)*(-3*x**2 + 6*x**2 - x**2) + 53 - 2*x**3 - 4*x**2 - 996*x + 990*x - 50.\nAnswer: 2*x**3 - 4*x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -k**5\/20 + 5*k**4\/3 + 10*k**3\/3 + 23*k**2\/2 + 1611*k. What is t(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 25 - (5875\/282 + 4). Let z(r) = -r + 9. Let q be z(4). What is the nearest to t in q, 2, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228090 = -3*y + p, 14*y = 13*y - p + 76034. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {j: 1, s: 2, l: 6, t: 1, f: 5, k: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.141 + -0.281. What is the smallest value in o, 1\/6, 3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 bigger than 446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1520 and 1552?\nAnswer: 147440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36060, 288473, 973596, 2307783, 4507388, 7788765?\nAnswer: 12368268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/7 + 1 + (-102)\/(-14). Let n(f) = 8 - 6*f**3 - f + 13*f**3 - z*f**3 + 3*f**2 - 2*f**2. What is n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9931 - 546a?\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1988 divided by 28\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1815993 divided by 25.\nAnswer: 1815993\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*d - 51 = -6*d, 4*b = 4*d + 52. Find the third derivative of 3*n**6 - 4*n**2 + b*n**4 + 0*n**6 - 18*n**4 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 2*h. Suppose -o - 21 = -4*o. Let n(a) = -3308 + 2*a**2 + 4*a + 1658 + 1650. Let x(s) = o*m(s) + 3*n(s). Solve x(t) = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*b + 53*b - 31*b**3 - 26*b.\nAnswer: -31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 15\/61514, -1\/2 in descending order.\nAnswer: 0.04, 15\/61514, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50356163 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(2\/5)\/q*q)\/q)\/((q**(-3\/25)*q*q*q*q)\/q)*q\/((q\/(q**(-15)\/q))\/q)*q\/q**(2\/17))**(1\/49) assuming q is positive.\nAnswer: q**(-7054\/20825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 108554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 14. Let x(p) = -5 + 6*p**2 - w*p**2 + 5. Let r(n) = -2*n. What is x(r(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6366 and 7427.\nAnswer: 44562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 165439*s - 661750. Determine m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -11 - 29. Let o = -3 + p. Suppose 2*u - o = 23. What is the highest common factor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c**2 - 95*c - 497. Let j be z(-6). Let o(w) = w**2 + w - 1. Let d(f) = -6*f**3 + 4*f**2 + 4*f - 4. Determine j*d(u) - 4*o(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3251?\nAnswer: -3251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14 - -3560130?\nAnswer: 3560144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*a = -6, 6*w + 2 = 7*w - a. Let x(u) be the first derivative of 1 + 0*u**2 + w*u - 1\/3*u**3 + 1\/8*u**4. Determine r, given that x(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d - 16*d - 264 = 0. Let i(c) = c**3 + 11*c**2 + 2*c + 11. What is i(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = -4*p + 4*x + 9248, 0 = 3*p + 3*x - 6936. Let f = p - 1625. What are the prime factors of f?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19246?\nAnswer: 2, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17316845 and 4165.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 2:04 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 2)*(-2*g - 2*g**4 + 2*g) + 2*g**4 + 3*g**2 - 3*g**2 - g**4 - 2*g**4 + 5*g**4.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84 - (128 + 54) - -30.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -54548842*h**2*w**2 + 4*h**2*w + 32424*h**2 - 13*h - 3*w wrt w.\nAnswer: -109097684*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53*n**2 - 1020790*n + 398810062 wrt n.\nAnswer: -106*n - 1020790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000315337 to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*n**2 + 0*n + 428\/5*n**3 + 0 + 424\/5*n**4 - 4\/5*n**5.\nAnswer: -4*n**3*(n - 107)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**3 + 3*t**3 - t**3)*(-30 + 193 + 198).\nAnswer: -361*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4696023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13150 + 481?\nAnswer: -12669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1217 times -2?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1732, 3710, 5688, 7666, 9644, 11622?\n\"Answer: 1978*f - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -11*t**3 - 9*t**2 - t + 3. Let w(j) = -8*j**3 - 8*j**2 - j + 2. Give 3*f(g) - 4*w(g).\nAnswer: -g**3 + 5*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/666 and -63\/74?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**0\/l))**(3\/20)*l**(1\/2)*l*l**9 assuming l is positive.\nAnswer: l**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/29428 and 61\/36372.\nAnswer: 38226972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2629 is divided by 86.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*1*sqrt(108) - (sqrt(108) + (sqrt(108) - -1*sqrt(108)*-5))**2 - ((1 + 2*sqrt(192))**2 - (0 + (sqrt(192) - (1 + sqrt(192))) - sqrt(192))).\nAnswer: -1742 - 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/3*(-6)\/3. Let y = 191\/15 - p. What is the nearest to 0.1 in -4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8503 is divided by 836?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 2 - 27) + 14 - (0 - 20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -2, 4 in descending order.\nAnswer: 4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1077711 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42465 - 42469. Let k = 2 + -2. Let i = k - 0.1. Which is the nearest to i?  (a) 3  (b) z  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6 + (-2 - -4) - (-16)\/(-4). Suppose s*h - z - 1127 = 477, 5*h = z + 2006. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440691021185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -257 and 0.2?\nAnswer: 257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 4*w + 4. Let z(q) = q**2 + 3*q - 3. What is 3*o(u) + 4*z(u)?\nAnswer: 3*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b + 27*b - 62320 = 22*b. Calculate the greatest common factor of 656 and b.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fcacccfca. Give prob of picking 1 a, 1 f, and 1 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4752 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12239.7*-3\nAnswer: 36719.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15451 - 8141. Suppose -7*p + c = 408. What is the greatest common factor of 58 and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-2\/9))\/((s\/s**(4\/3))\/s)*(s**(-2\/3))**1)\/(s**(-2\/9)*(s\/(s**(-2\/3)*s))\/s)**36 assuming s is positive.\nAnswer: s**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000388801777 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 8453.723 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.234022 - 21.714278. Let j = -0.0483 - z. Round j to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -44  (c) 4  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -9*w**2 - 11*w - 11. Suppose 4*x + 116 = 3*t - 29, 2*t - x = 105. Suppose -t = 2*k + 3*k. Let o(q) = 5*q**2 + 6*q + 6. What is k*o(b) - 6*h(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.693318l in millilitres?\nAnswer: 693.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 8*j - 6*j, j = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3598*k - 23. Let r be w(1). Factor 3595*b**2 - r*b**2 - 193 - 412*b + 25.\nAnswer: 4*(b - 21)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/11 and -5\/211.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 10 - 0. Suppose t*g - g - 7 = 2*q, -3*g = -2*q - 13. Is 6\/9*(-159)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x - 10. Suppose 2*k - 9 + 47 = 0. Let i = k - -41. Calculate the smallest common multiple of i and l(-8).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-684)\/(-132) - 4\/22. Let k be (-1)\/u + (-792)\/90. Sort 8, 3, k, 1 in descending order.\nAnswer: 8, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26847543*d*j**2 + 1995607*j**2 wrt d.\nAnswer: 26847543*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -5*n**4\/24 + 5*n**3\/6 - 10*n\/3 + 12. Determine y, given that p(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2429102?\nAnswer: 2, 13, 93427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {p: 2, h: 5, j: 1, d: 1, o: 1, k: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 5*h - s + 10, -5*s - 13 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9918250 and 19400.\nAnswer: 39673000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - l + 1016198, -395962 = 3*v + 2*l + 1128342. Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 168, 189, 208, 225?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 105238095 to the nearest integer?\nAnswer: 10259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -45254 divided by -374\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 0.5, -0.3, 2, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 9:37 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2148702, -4295976, -6443236, -8590476, -10737690?\n\"Answer: u**3 + u**2 - 2147284*u - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.60803l to millilitres.\nAnswer: 22608.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -1886 + 320. Let g be 0 - (-1 + 1) - -4. Suppose 5 = a, -3*z + g*a + 595 = -r. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18262 is divided by 914.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -67*v**2 - 2*v + 55846 - 3*v - 55845 + (-v + v - v)*(-3*v + 2*v - 2*v).\nAnswer: -64*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 26*r + 17298. Let y = 568 + r. Let o(v) = -v**3 - v**2 + v + 4. Let u be o(0). Calculate the highest common factor of y and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 5:40 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9898926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 + 4*w**2 + 8*w - 11. Let m be a(5). Differentiate -180*h**4 - 48 + 120*h**4 + m + 111*h**4 with respect to h.\nAnswer: 204*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 105 - 87. Suppose 2*g - 10 = 0, -g = 2*k - 3*g - h. Solve 4*n + 0*n = -2*z + k, 3*n - 5*z = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -4\/13591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 648359561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccivcbbuvvivvcb. What is prob of sequence vucv?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 1 = o, 2*i + 35*o - 31*o = 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is r in r**3\/6 + 70*r**2\/3 - 4417*r\/6 - 39442\/3 = 0?\nAnswer: -164, -13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 210\/27 - 4\/(-18). Let z(i) = -3*i**2 - n + 9*i + 4*i**2 - 2*i**2. What is the units digit of z(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -30*o**3 - 5*o**2 - 2*o - 8. Let n(q) = 29*q**3 + 4*q**2 + 2*q + 7. Determine 3*h(s) + 4*n(s).\nAnswer: 26*s**3 + s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 172591 and 124441.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/(-36) + (-1)\/(-3). Let x(p) = 3*p**2 + 4*p - 1. What is the remainder when x(-4) is divided by (j + (-22)\/6)*-6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 784b - 8b63?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1122112 and 3940.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f + 1. Let v be a(8). Let q be (324\/v)\/4*-5. What are the prime factors of q\/3*2*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 996824 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78958 is divided by 145?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 28. Let j = 9895 - 9907. Is v greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/5)\/((-6)\/(-15)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmmimmmtmm. Give prob of sequence mmit.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 = -2*o - 4*f, -f + 22 = 4*o - 268. Calculate the remainder when 213 is divided by o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**2. Suppose -i - 17 = -5*k, 3*i + k = -3*k + 25. Let l(y) = -y**2 + 4*y + 2. Let a be l(4). Let n(w) = a*w + i - 3. Give h(n(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-20)\/8)*(-44)\/4180.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2. Let r(h) = 95 - 28 - 50 + 2*h**2. Determine r(o(d)).\nAnswer: 2*d**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + (-2)\/6*-3)\/1. What is the biggest value in -4, f, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6534659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9*((-7 - -5) + 8). Let t = -1 - -24. Let j = f - t. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 219, -1, 1\/8, 0, 0.05, 8\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/(-6))\/((-28)\/1400*-75).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 191 + -189. Suppose -o*y - 3*i + 2189 = 0, -437 - 1770 = -2*y + 3*i. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6721051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-42)\/b))\/(b\/(b\/(b\/(((((b**(9\/7)*b)\/b*b)\/b*b)\/b)\/b*b))))*(b**(-15\/8))**4)**(-4\/15) assuming b is positive.\nAnswer: b**(-206\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.14 times -1.4?\nAnswer: -1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -11*b**3 - 7*b**2 + 7*b. Let i be c(1). Let n(q) = -3*q - 2*q + 3*q - 2. Let s(f) = -5*f - 5. Determine i*n(g) + 4*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 236458349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 22*b - 19. Let r be c(14). Suppose r = 4*w + 93. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -546 (base 16) to base 8\nAnswer: -2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(11) + 1 - sqrt(11)) + (sqrt(99)\/sqrt(9))**2*-5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j + 1 + 6 - j - 8 as x + m*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4*(-1*sqrt(833) - sqrt(833)))**2 + -5 + 2*2*(sqrt(51)\/(sqrt(3)*-1) + sqrt(17) + (sqrt(34)*1)\/sqrt(2)).\nAnswer: 4*sqrt(17) + 53308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -181, 1, 5, 2, -6.\nAnswer: -181, -6, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 - 19. Suppose 6*d - c = 5*d. Suppose -5*g - 564 = -3*y + y, g + 833 = d*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-74)\/(-518))\/((90\/21)\/(-3))*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/62, 12.32 in decreasing order.\nAnswer: 12.32, 5, -3\/62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3601809?\nAnswer: 3, 41, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 47571 = -3*p, 19092 = 3*p + 2*t - 28473. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - -1)\/(7\/14). What is u in -6*u**w - 19*u + 2*u**3 - 5*u**3 + 8*u + 4 - 10 + 2*u**3 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1371.3 + -0.29969117915?\nAnswer: 1371.00030882085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**1))**37\/(s**(2\/3)\/s**(6\/7)) assuming s is positive.\nAnswer: s**(-773\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 12, 0*w + 28 = 4*b + 4*w. Suppose -b*l - 24 = -9*l. Suppose f = -l*o + 17, 3*f - 40 = o - 2*o. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**4 - f**2 + f. Let g(y) = -28*y**4 - 84*y**3 + 680*y**2 - 2192*y + 2592. Let i(o) = 32*c(o) + g(o). Factor i(r).\nAnswer: 4*(r - 6)**3*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -42*k - 199. Let s be w(-9). Suppose 2*m + s = -5*p + 16, 5*p + 4*m = -161. Is -32 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**17\/(p*p**(12\/5)))**(2\/11) assuming p is positive.\nAnswer: p**(136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 + -50. Suppose j - 6*j + d = 0. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11514931.\nAnswer: 19, 606049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -41.616 - -0.766. Let v = k + 41. Let p = v + -0.85. Is p greater than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**5 + 26*i**4 - 115*i**3 + 148*i**2 - 60*i = 0.\nAnswer: -30, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**4 + 1557*n**3 + 177111*n**2 + 5634651*n - 11990250 = 0. Calculate n.\nAnswer: -375, -73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000032521 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 473222 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 237479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-332 - -290) + 16 + 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from nnrrnor.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1194*p + 1187*p - 3575*p + 1192*p + 835 in the form r + k*p and give r.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/2)*t)**(5\/6)\/(t**3*t*t**1) assuming t is positive.\nAnswer: t**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 28 + 67. Let j = -3 + 3. What is the least common multiple of 12 and 0 - y - (j + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 875699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*b - 2. Suppose -4*v = -5*w - 0*v + 3516, -5*w + 3488 = 3*v. Suppose 2*g - w = -b*g. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -8. What is the second biggest value in 1\/2, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(121)\/(sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4))) - (1*sqrt(77))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 226, 2, 0.5, -8 in decreasing order.\nAnswer: 226, 2, 0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*u**2 - 52*u**2 - 52*u**2 - 48*u**2 - 49*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 11 = -5*p - 38, -13 = p - 4*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 320*n + 24 = 324*n, 5*n + 4 = 3*i. Suppose -12 - 2 = z. Let b be (-10)\/z + i\/28. Which is smaller: b or 2\/323?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6549426 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5252.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l. Let b(s) = 4455*s - 59. Calculate b(t(u)).\nAnswer: 17820*u - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.05416 - -53.94584. Which is the third smallest value?  (a) f  (b) 2\/7  (c) -1\/3  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 9*t - 8. Let i be q(-10). Solve -i*g = -2 - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 - 5*o**3\/3 - 4*o**2\/3 + 4*o\/3.\nAnswer: o*(o - 2)*(o + 1)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -1\/6  (c) 3  (d) -427\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 2*k - 28, -5*m = -3*k + 25655 - 25688 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/4 - 6\/(-4). Suppose -5*h = 3 - 13. Solve q*f + h = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 4*r**2 - 4*r - 31. Determine m(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.4481207 and 0.3.\nAnswer: 4.7481207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 22*k = 48. Put 20, k, 2, 4 in ascending order.\nAnswer: k, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - -1 - 4)*1. Let m be (108\/30)\/(u\/20). Is m at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5031 + -1325?\nAnswer: -6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 10. Give o(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 62 - (-2 + 0)*-1. Suppose p = -p + s. Suppose x + p = 6*x. What is the greatest common divisor of x and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*((s*s\/(s*s*s**(-17))*s)\/s)\/s)\/s**(9\/4)*s**(-27)*s**(-4\/5) assuming s is positive.\nAnswer: s**(-261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -160 - -272. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*h**2\/4 - 201968*h + 73443\/4.\nAnswer: -(h + 73443)*(11*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32.32 - 29.32. Let k = -90 - -173\/2. Sort k, h, -0.5 in decreasing order.\nAnswer: h, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 20*t - 2. Let n(i) = i**2 + 10*i + 1. Let b = 6030 - 6023. Determine b*n(r) + 4*w(r).\nAnswer: 3*r**2 - 10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -597*c**3 + 0*c + 5*c**2 - 14*c + 2*c - 9 + 8.\nAnswer: -597*c**3 + 5*c**2 - 12*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 31 = -3*l. Suppose 0 = -4*k - b + 37, 4*k + 3*b = -0*k + l. Let f = 151 - 147. What is the highest common factor of k and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -918 divided by 6.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1187 + 60. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 743 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 706*a - 712*a - 47 = 14 + 17 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 - 7 - 2\/(-12). What is the third smallest value in 0.01, 4, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 6, n: 2, f: 4, e: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 3, 0.031 in ascending order.\nAnswer: -4, 0.031, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64377057, -128754111, -193131165, -257508219, -321885273, -386262327?\nAnswer: -450639381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-6)*1\/(-5). Let t be 3\/(-1) + (-6)\/1. Let y be (1 - -2)*(-3)\/t. Are y and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 590*t + 5. Let y(c) = 20945*c + 177. Determine -177*m(f) + 5*y(f).\nAnswer: 295*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7341214061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86190438?\nAnswer: 2, 3, 61, 235493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -5. Let y(f) = f**3 + 6*f**2. Let i be y(-6). Suppose i = 4*t - 2 - 14. Calculate the lowest common multiple of b and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -491 + 494. Suppose 6*o - c = f, -c = 7*o - 11*o + 1. Solve i - o = 4*j, 3*i - 7*i + j + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1.295906 weeks?\nAnswer: 783763.9488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 9*q**2 + 12. Let a be t(-9). Which is greater: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86419832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -45.051 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuhqhquttu. What is prob of picking 1 u and 1 t?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d0 - 103?\nAnswer: -1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -56*j - 3425. Calculate b(-61).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (216\/10 + 2)\/((-2)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - q = 4, -415*f + 11 = -410*f - 3*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1066722341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*4*(sqrt(171) + sqrt(171)*4 - sqrt(171)))\/(sqrt(27)\/sqrt(48)*-5))**2.\nAnswer: 1245184\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -0.3  (c) 2\/15  (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -50, -4*r = 46*o - 48*o - 48. Suppose 8*p - 748 = 4*p. Calculate the highest common factor of p and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zczzcyczzczyczz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9587.\nAnswer: 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37862, 37861, 37852, 37829, 37786, 37717, 37616, 37477?\nAnswer: 37294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 2*z - 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1216282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 4*z - 3 - 2*z**3 - z**2 - 2*z**2 - 6*z. What is the smallest common multiple of v(-2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -29, -2, 9\/5, 3, 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1541 divide 44814788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72.92194nm to kilometers.\nAnswer: 0.00000000007292194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*l**2 + 75*l**2 - 136*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 8*x = -33*x - 1102 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*f + 6*f + 8*f + (-164*f - 296*f + 303*f)*((-2 - 2 + 2)*(2 - 1 - 3) - 1 + 1 + 7) to m + x*f and give x.\nAnswer: -1697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -45, -0.4 in increasing order.\nAnswer: -45, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*a = -2*i + 11, 5*i - 3*a = -14. Suppose -3*l + 3 = 5*g, -3*g = -0*g + 4*l - 4. List the prime factors of g\/(-2) - 11\/i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of 7\/6*n**3 - 1\/12*n**4 - 4*n**2 + 0*n + 0. Differentiate y(z) with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 85*m**2 - 16*m + 19. What are the prime factors of i(7)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -14. Let h be ((1 - s)\/(-1))\/(14\/(-812)). Let j = 19 + h. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -5315254.1 to the nearest 1000.\nAnswer: -5315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102824 is divided by 418?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1044 = v - k, 2*k + 2840 = 3*v - 298. Solve -1056*u + v*u = 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 4:51 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69, -68, -67?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -k**4 + 2077*k - 8008?\nAnswer: -4*k**3 + 2077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -52*o**2 + 4872*o + 14619. Give h(-3).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4968 = 25851*q - 25644*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5040, -10039, -15038, -20037, -25036, -30035?\n\"Answer: -4999*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-125)\/40 + (5 - 2). Let f = -8.5 - -9. Which is the nearest to 1?  (a) f  (b) z  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-2))\/(13\/39). Suppose h*g - 7 = l - 2*l, 2*g + 1 = 5*l. Find the second derivative of -5*s**3 - 9*s - 2 - 2*s + g wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2151503 - -2433?\nAnswer: 2154340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 119, 154, 165, 146, 91?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -103860 + 103859.5. Let w(y) = -y**3 + 6*y**2 - 3. Let u be w(6). Let z be -2 - u - 14\/10. Sort v, z, -0.12.\nAnswer: v, z, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2 = 2*i, 4*i = r - 0*i + 8. Let n be r*(6\/4 - 1). Suppose -h - 25 = -n*h. Solve 0 = -h*c + 2*v + 5, v + 3*v = 3*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1221669 - 4*f - 121*f**2 - 1221669 to the form v + i*f + d*f**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**4\/7 + 870*g**3\/7 - 8314*g**2\/7 - 3237270*g\/7 + 3244712\/7 = 0. What is g?\nAnswer: -436, -61, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1625, 3251, 4877?\nAnswer: 6503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -4.07. Let u = -62 - -100. Let m = u - 38. Which is the closest to m?  (a) 1\/3  (b) x  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o - 33. Let w be q(7). Differentiate -63*c**w + 61*c**2 + 47*c + 6 + 0 + c wrt c.\nAnswer: -4*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**2. Let x be ((-28)\/(-21))\/(1\/6*4). Let d(y) = -4*y**2 + 13*y**x + 4*y**2. What is d(b(o))?\nAnswer: 52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 7:53 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78956*g - 2 - 103700*g + 2 + 0.\nAnswer: -182656*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 10*w - 3. Let d be k(9). Let y be 8\/12 - 4\/d. Suppose 5*g + 0*g = -3*b - 480, 2*g + 3*b + 192 = y. Round g to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12947, -4, 35, -7 in increasing order.\nAnswer: -12947, -7, -4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -17*x - 92. Let t = -215 + 209. Let d be j(t). Solve -i + d = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0048085 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -8, 57 in decreasing order.\nAnswer: 57, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -4*j**3 - 2*j**3 + 5*j**3 + 3*j**2 - 1. Let g be i(2). Let h be g\/5 + (-78)\/80. What is the closest to -1 in -1\/3, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -12*b. Let x(y) be the third derivative of y**4\/6 - 306*y**2. Determine m(x(p)).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31483 - -20853. Round x to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-1 - (-4 + 0)) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 215094 divided by -66.\nAnswer: -3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - x + 1. Let a be g(-3). Let m(j) = j**2 + a*j - 13*j. Let b(u) = 3*u**2. Determine m(b(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of 5*j**4\/4 - 5*j**3\/2 - 9*j**2 + 34*j. What is the tens digit of t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 105\/52 and 83\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 387101 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -644, -3982, -12108, -27116, -51100, -86154, -134372, -197848?\nAnswer: -278676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -203203134 (base 5) in base 14?\nAnswer: -17a322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 76. Suppose 1 = 9*q - l. Solve 2*w + q*t - 18 = 0, 4*w + 0*t = 5*t + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of 0*p**2 - 1\/3*p**3 + p + 0. Let s(h) = 16*h**2 - 40*h**2 - 42 - 43 + 85. Give s(j(u)).\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 183 + -84. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22131 + 34101. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88171650 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2\/5, 0.565, -8?\nAnswer: 0.565","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 2\/7  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3423306751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 87560 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5450 and 1850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 46092, 46095, 46100, 46107, 46116, 46127?\n\"Answer: n**2 + 46091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, -0.24, 3033?\nAnswer: 3033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 559369 + -2796844\/5. Determine s, given that -f*s**3 + 0 - 4\/5*s - 4\/5*s**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -223 - 10200?\nAnswer: -11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p**3 - 4*p**3 - 15*p**5 + (-3*p + 5*p + p)*(3*p**4 - 4*p**4 + 2*p**4).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -410 = 5*h - 3*s, h = 2*h - s + 82. Let w = h - -69. Let k(p) = -p**3 - 14*p**2 - 22*p - 22. What is the units digit of k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of y**6\/360 - y**5\/60 - y**3\/3 + 2*y. Let q(x) be the second derivative of r(x). Find the second derivative of q(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10263*g - 5119*g - 5194*g.\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 206*g**2*u**3 + 8*g**2*u**2 - g**2*u + g**2 + 15346*g*u**3 + 2*g - 234*u**2 wrt u.\nAnswer: 1236*g**2 + 92076*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(231)\/sqrt(7) + sqrt(33) + sqrt(33))\/(sqrt(30)\/sqrt(160)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d - 714?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.740161 rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q + 4. Let i be r(12). Calculate the highest common factor of 80 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 10*i + 3919. Let w = i + -2766. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70a536 (base 13) to base 2\nAnswer: 1010000000000111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 - 22 = 3*p. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from {d: 6, p: 4, x: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78684025067 + 151*z**3 - 78684025067.\nAnswer: 151*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 558593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 546 + -703. Let k = h - -159. Suppose 3*y = -4*j - j + 25, 4*j = 4*y - 12. What is the third biggest value in y, k, 3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1701067\/385 - -30928\/7. Find the common denominator of 173\/1320 and w.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 4 - 2 - 3*t + t.\nAnswer: -2*t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3061 - -839. Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 185.35 millennia to years.\nAnswer: 185350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 35*s. Let d(n) = 192*n. Let x(m) = -11*a(m) + 2*d(m). Let p(v) = -6 + 2 + 3. Let h(w) = 22*w + 2. Let r(j) = -h(j) - 2*p(j). What is r(x(o))?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 2*x. Let h = x - -10. Suppose -22 = -2*u - 4*m, -4 = 5*m + 6. What is the highest common factor of u and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 937542.\nAnswer: 2, 3, 156257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 23*m. Let z(d) = 2*d - 2. Let r(a) = a**2 + 5*a - 5. Let f(c) = -2*r(c) + 5*z(c). Determine f(l(b)).\nAnswer: -1058*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 + 73. Let t be 198\/(-54)*(g + -12)*3. Let b = -119 + t. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -420*p**3 - 9 + 2 + 7 + 304*p**3.\nAnswer: -116*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 27. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, r: 4, v: 2, z: 1}. Give prob of sequence zvrr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.4  (b) 0.1  (c) 2748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(132) - -5*sqrt(132))*1)\/(sqrt(1728)*4*3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -468239513 + 468239530.00000009. Let m = c - 17. What is m rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -37, 3 in descending order.\nAnswer: 4, 3, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, c: 1, f: 1, p: 1, k: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336*g + 796 = -884. Put -5, g, 376, -0.2 in descending order.\nAnswer: 376, g, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9500 is divided by 901.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/4  (b) 9.9  (c) -0.5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f**(1\/14)\/f)*f)\/(f\/f**19)*((f\/(f*f**(-18))*f)\/f)\/f*f**20*f assuming f is positive.\nAnswer: f**(839\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53037 - -79533. Is x a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 9189.214us?\nAnswer: 9189214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 591 + -407. Is b + 1 - (12 + -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18208 is divided by 588.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(-6))\/((-1)\/(-8)). Let l be ((-4)\/12 + 0)*3\/u. Which is the third biggest value?  (a) -5  (b) l  (c) -1  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**4 - r**4 - 4*r**4 + (2*r - 2*r + 5*r)*(r**3 - 3*r**3 + r**3) + (-r**3 - r**2 + r**2)*(-3*r - 2*r + 2*r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yodgyyyodomymgmmomg. What is prob of picking 3 o?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {p: 3, h: 3, r: 2, n: 1, e: 1, c: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30246 - 30241. Solve -b*a - 235 = -215 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - c**2 + c)*(3*c**2 - 2*c - 5*c**2 + 4*c**2) + 4*c**4 + 0*c**4 - 3*c**4.\nAnswer: -c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -357.3 + 357.29978059. What is m rounded to six decimal places?\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -461.\nAnswer: 6\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 451165 (base 7) to base 8\nAnswer: 233470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -541 - -588. Calculate the greatest common divisor of 1269 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 4\/7, 168, -11.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j - 3*x + 16, -5*j - 5*x - 29 = 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s - 2*s + 3*s. Let y(f) be the third derivative of 7*f**4\/24 + f**2. What is b(y(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*i - 72 = -41*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5*g**2 + 2)*(2035*g - 1 - 1889*g - 1).\nAnswer: 730*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - 3*h + 3*h + (-3 + 1 + 0)*(21*h + 20*h - 43*h) + (1 - 1 - 1)*(h - 4*h + h))*(3 + 4 - 5) in the form d + u*h and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 1332 in descending order.\nAnswer: 1332, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 6 = 3*c - 7*c, -4*o = 5*c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -607.33 + 598. Let y = -0.33 - l. Which is the third smallest value?  (a) y  (b) -4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 71. Let l be k*(-3 - 1 - -8). Suppose -l*f + 84 = -6*f. What is the least common multiple of f and 20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = 4*t - 2*q, 0 = 2*t + 3*q - 2*q - 47. Calculate the remainder when t is divided by (2*2\/(-12))\/(15\/(-360)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24891953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -21 + (3 - 1) + (-13 - (-9 + 4))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 843*d**2 + 4 - 4.\nAnswer: 843*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 3*n + 17, 0 = 5*i - 0*n + n - 21. Let f = 329.3 + -332. Which is the third biggest value?  (a) i  (b) -3  (c) f  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + h**2 + h - 1. Suppose -4*o = -2*x - 2, -5*o + o - 2*x - 10 = 0. Let q(r) = 3*r**3 - 2*r**2 - 2*r + 2. What is o*q(j) - 2*p(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -266119\/67 - -3972. Let l = 538\/871 + k. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12937.23197 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-3) + -1)\/(2\/(-18)). Let w be (-1 - -1) + m\/(3\/2). Sort 1, w, 3, -1 in decreasing order.\nAnswer: 3, w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 392 and 78.\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j - 242487 = -4*a - 29*j, -8*a + 4*j + 485044 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/4  (b) -17  (c) 180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37480862\/171 + -219184. Let a = t - 40\/19. Let k = 158 + -159. Is a greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 15 = -2*o. Suppose -o*l + 54 = 2*u, 3*u - l = -4*l + 63. Let h = u - 5. Calculate the smallest common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/1832432 and 155\/1374324?\nAnswer: 5497296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/3*(11 - 0). Suppose -1840 = 3*c - q*c. Suppose -605 = -3*u - 2*u - 4*y, -c = -2*u - 4*y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 833 + -573. Round x to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3337 and 59333693?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*k + 4*k + 8*k + 6*k + 9*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of -x**6\/720 - x**4\/12 - 17*x**2\/2 - 2*x + 89. Let l(q) be the third derivative of s(q). Let r(b) = 185*b**2. Give r(l(m)).\nAnswer: 185*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214*h = -59*h + 50*h + 223. Let a = -3 - 1. Put -14, -3, h, a in decreasing order.\nAnswer: h, -3, a, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 73\/2, 3\/8, -83.19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 3 - k - k**3 - k**2 + 0 - 1 as r*k**2 + o*k**3 + x*k + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) -4.62  (c) 0.14  (d) 3\/7  (e) -1\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + i + 17 - 2, -2*l - i = -3. Suppose l*k = 10 - 7. What is the highest common divisor of k and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -555*v**2 + 15*v - 53. Determine i(1).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 6) + 3 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*v + 1107 = 0. What are the prime factors of v?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lir when three letters picked without replacement from niallanaaradnll.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -92\/1593255 and 29\/162.\nAnswer: 86035770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + (-44)\/(-8))\/(4\/32). Suppose 0 = -3*n + u*n + 119. Which is the closest to 0?  (a) -0.3  (b) 0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -12 - -3) + 2 + 4 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12025 and 1014?\nAnswer: 937950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 119 + -47. Suppose -o = -6*l + 3*l. Calculate the greatest common divisor of 60 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 1:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 127 - 140. What is the nearest to -0.1 in -2\/3, q, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9440612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65 + 2*k - 57 + 111.\nAnswer: 2*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352) + 2*(sqrt(352)*-5 - sqrt(352)))*-5)\/((-2*sqrt(4)*2)\/(5*1*sqrt(2))).\nAnswer: -275*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 294298387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -3*t**2\/2 + 3*t - 7. Calculate the remainder when m(-4) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**5\/5 + 572*t**4\/5 - 27228*t**3\/5 + 440836*t**2\/5 - 414176*t\/5 = 0 for t.\nAnswer: 0, 1, 43, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i + 760 = 24*i + 43*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 - (150 + -110 - (5 + 69))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.21 + -0.29. Let t = a - -0.1. Which is smaller: 2\/17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -525, -1056, -1587, -2118, -2649, -3180?\nAnswer: -3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 269047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*i - 8 - 5. Let q(k) = 13*k**2. Calculate q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/532 or 0?\nAnswer: -9\/532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g + 4. Let r be z(-3). Let v(s) = -5*s + 5. Let i be v(r). Let c be 37\/4 + (-77)\/(-28) + -2. What is the greatest common factor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 3, u: 2, x: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-29)\/(-170))\/(14\/35) and 9747\/(-570)*10\/12.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-42)\/465)\/(7\/35). Let u = 547\/93 - s. Let o = u + -6. Sort o, -2\/9, 2\/27 in descending order.\nAnswer: o, 2\/27, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 298, 10\/3, 5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q - 4 + 1 - 1 + 12. What is the lowest common multiple of k(0) and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*s**3*y**2 + 15*s**3*y - 34*s**2*y**2 wrt s.\nAnswer: -24*y**2 + 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a**3 - 23*a**2 - 10*a + 20. Let d be t(-11). Calculate the highest common factor of d and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -18*w - 4. Let q(b) = 8*b - 1. Let r(g) = -m(g) + q(g). What is r(-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -235 + 1179\/5. Let o = 17\/15 - r. Factor -o - 1\/3*h**2 - 2\/3*h.\nAnswer: -(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w - 151 - 580 - 684 + 815.\nAnswer: -w - 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -26. Let w(t) = -t + 20. Let b be w(11). Calculate the lowest common multiple of b\/(45\/40) - -4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-58)\/(-18) + 10\/(-45). Suppose y*w + 4*x = 243, 0*x = 2*w - 5*x - 162. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -490, -491, -484, -469, -446?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*s = -111*s - 82. Solve 3*m = 4*x - 2 + 7, -s*m = -4*x - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -7*k**3\/6 + 37*k**2\/2 - 5*k. Let y be r(6). Sort 5, y, -34.\nAnswer: -34, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -284*r**2 - 3*r - 1. Let j be p(-1). Let i = 355 + j. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 1553.\nAnswer: -931.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = o + 2. Let c be ((-4)\/1 - -1) + o. Let h = 11741 - 11744. Put c, h, -2 in decreasing order.\nAnswer: -2, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 14896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7008 and 5548.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 36*(64\/30)\/(-4). Let m = 19 + k. Which is the closest to 0?  (a) 0  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51ea89 (base 15) to base 11.\nAnswer: -2221a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84589 + 0*a - a - 3*a - 45823 - 38766.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 310 - -114?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 - 4.2. Let x = 0.3 + 0.4. Let f = 0.3 - x. Which is the smallest value?  (a) 1\/11  (b) i  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 10*p**2 - 171*p - 359. Let b be c(19). Let r(m) be the first derivative of -2*m + 1\/12*m**3 + 1\/4*m**b - 17. Find q, given that r(q) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 8:50 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 2, y: 11, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(2\/3))**(-2\/3)\/(u*u*u**(2\/5))**(-17)*((u\/(u*u\/(u\/u**(2\/5))*u*u))**42)**(-1\/6) assuming u is positive.\nAnswer: u**(2582\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {w: 1, c: 1, j: 1, z: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -109*t - 1. Let q(w) = -39*w - 1. Let r(l) = -f(l) + 3*q(l). Let i(d) = -1. Determine -i(n) + r(n).\nAnswer: -8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 0. Let p = -0.8 - -0.3. Let b = p + 0.4. What is the third smallest value in x, 0.1, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 302*n + 9402 - 49*n - 9402.\nAnswer: 253*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -2.4. Let c = -52.8 + 53. What is the third smallest value in a, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + 1. Suppose 48*u = -3*u. Suppose o*j - 1340 = 4*a - u*a, -4*a - 1009 = -3*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 2. Let p = s + -1.5. Let c = 1798 + -1801. Sort p, -0.2, c.\nAnswer: c, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 40 - 26. Calculate the lowest common multiple of 6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 987 * -0.4\nAnswer: -394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(2 - 2 + 2*v) + v + 4*v - 6*v + 216*v - 642*v + 120*v.\nAnswer: -303*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 120594 or 120591?\nAnswer: 120591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnss when four letters picked without replacement from nnnjsjsjnsn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/976092 and 11\/1464138.\nAnswer: 2928276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -d**3\/3 - 11*d**2\/2 - 5*d - 9. Let v be n(-10). Suppose 6 = v*m + 36. Which is the smallest value?  (a) 1\/5  (b) -5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(4\/822)*124346\/(-4740). Let s = u - -5394. What is the common denominator of (0 + 20)*(-6)\/(-16) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 16. Let m be (-4)\/(-4) + d + 98. Let i = -36 + m. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, i: 2, k: 1, g: 1}. Give prob of picking 1 i and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4637883438 to the power of 1\/2, to the nearest integer?\nAnswer: 68102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 26 = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138743662 to the nearest integer?\nAnswer: 11779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -159 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/15 of a century in months?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -g + 7, 0 = -2*l - 2*g + 7 + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q - 382 - 134 = 0. Is q\/344 + 513\/8 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -21*k + 37*k - 16*k - 3*k**2. Let u = -3 - -1. Let y(x) = x. Let i(p) = -2*p. Let a(f) = u*i(f) - 6*y(f). Calculate o(a(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 652737 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 28 = -1. Suppose -6 = -l - a + w, -5*a = 3*l - 111. Suppose t + t = l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5550235.624 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -27*b + 26*b + 7602, -4*m + 4*b = -30416. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*z - 6. What is the units digit of (4\/(-4)*z)\/((-2)\/(-162))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 98*u + 3030. Determine o(-108).\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 337*r + 15541. Determine n(-55).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -29*p + 4. Let g(l) = 45*l - 6. Let a(d) = -8*g(d) - 12*s(d). Let r(x) = 35*x. Give r(a(i)).\nAnswer: -420*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 38 = -2*h + d, 5*h = -d - 81. Let u = 10 + h. What is the units digit of 2\/u - (-46)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/490056 and -47\/84.\nAnswer: 490056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 188\/3 + -63. Are -0.03 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001742488 rounded to 6 dps?\nAnswer: -0.001742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = -12*f - 856. Find the common denominator of -33\/4 and 5\/(-4)*(-3)\/((-45)\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hkk when three letters picked without replacement from ukuhuuqhquukqquqqu?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8 - 99\/(-3))*69.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*h - 922 = -239*h + 5273. Calculate the highest common divisor of h and 4907.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 288216263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2149 * 0.1.\nAnswer: -214.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/24)\/((-189)\/3240*15).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 42*s**2 - 346*s + 172. Calculate i(49).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 981004084 and 804?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 1:49 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**3 + 364 + 8*d**2 - d**3 - 10*d**2 + 348.\nAnswer: -3*d**3 - 2*d**2 + 712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 80708 + 277. Suppose 3*h + l = 18*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/((-364)\/72))\/(1641\/15316).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 4592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 360*q**3*r**4 - 6*q**3*r + 13*q**3 - 4*q**2 + 16 with respect to r.\nAnswer: 1440*q**3*r**3 - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 234, 334, 500, 732, 1030, 1394?\n\"Answer: 33*y**2 + y + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 84750 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 184093 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -438627 or -438575?\nAnswer: -438627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + 5*x**2\/2 + 7*x - 138. Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 26 - 25. Is 2\/63 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 4 - 2*s**2 + 7*s**2 - s**3. Let u be l(5). Suppose -5*w + 2*w = -u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**2 - 4*t**2 + t - t**3 + 240 - 241 + 2*t**2. Let r be y(-4). Let j = 198 - 1784\/9. Which is the closest to 1?  (a) r  (b) j  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32633874 - 19*d + 32633867 - 65267741.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/3 + 239410*v**2\/3 - 7175524246*v\/3 + 650991659318\/3.\nAnswer: -2*(v - 59807)**2*(v - 91)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -32  (b) 1\/2  (c) -0.3  (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = 20, 4*v - 17677 = -5*a - 17686 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5835408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 11:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**3 - s**2 - 1. Let f(v) = v**2 + 1. Let r(n) = -n**3 + 16*n**2 - 16*n + 14. Let z be r(15). Give z*j(k) - 3*f(k).\nAnswer: -2*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3565594 divided by -3\nAnswer: -3565594\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/6)\/(1\/15). Suppose -k*w = 3*n - n - 12, -3*w = 2*n - 8. Let i(z) = 2*z - 63. Let v be i(29). Put 0, n, v in increasing order.\nAnswer: v, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 423 - 102. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55091317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-1\/4))\/(r*r**(6\/11))*r**(2\/7)*r**(2\/7))**(-1\/18) assuming r is positive.\nAnswer: r**(-85\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 6:48 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -345*k - 45*k - 216 + 17*k + 216 to the form s*k + j and give s.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2636\/19?  (a) -2  (b) -2\/23  (c) -0.2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -16*o + 11*o + 125, 0 = 5*o + 5*m - 130. Suppose 0 = 3*h - 2*a + o, 0 = 3*h + a - 4 + 25. Sort -1, h, -2, 4 in decreasing order.\nAnswer: 4, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((12 - 408)\/(-12))\/((-12)\/(-32)). Solve 0 = 2*i + 98 - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - -5.8. Let y = -817944.80073 + 817928. Let u = y + x. What is u rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + 163 + (121 - 192).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -175.873 times -0.087?\nAnswer: 15.300951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-194)\/(-8) + 11\/(-44). Suppose 20*y - h*y = -32. Calculate the lowest common multiple of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 72 - 67. Let g(v) = -v + 2. Let z be g(4). Sort z, m, -4 in decreasing order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m - 2. Let n be j(4). Suppose -17 = 4*d - 3*h, -3*h + n + 11 = -2*d. Let f = -4405\/7 - -628. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 258, 567, 1002, 1563, 2250, 3063?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*j - 13*j + 18. Let q be 741\/143 - j\/(-11). Solve -g - 4*f = 3, -f - 9 = -q*g + 3*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525954 (base 10) in base 2?\nAnswer: 10000000011010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g. Let b(z) be the third derivative of -11*z**5\/60 + 25*z**4\/24 + 2*z**2 + 151. Give y(b(u)).\nAnswer: 22*u**2 - 50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -11*u**2 + 4311*u + 299. What is y(392)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((441\/6)\/(-3))\/((-1)\/(-2)). Let o = a + 49. Suppose o = 7*d - 3*d - 5*d. Solve d + 3 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h = -2*a + 6610, 2*h - 6628 = -2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 16 - 34 + r + 18. Let w(c) = -3*c + 1. What is -5*k(p) - 2*w(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, -6, 1, 2 in decreasing order.\nAnswer: 6, 5, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -49. Let t = a - 16.7. Let r = 0.2 + t. What is the closest to 1 in -0.2, r, -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75205703*o*q**3 + 33*o*q - 286*o - 381*q**2 - 1 wrt q.\nAnswer: -451234218*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 7*m + 1. What is the units digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 594959440?\nAnswer: 2, 5, 31, 127, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 301858.\nAnswer: -2\/150929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of 3*l**7\/35 - 5*l**3\/3 - 9*l**2 - 18*l. Let k(j) be the first derivative of c(j). Find the first derivative of k(p) wrt p.\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3072 - -3066. What is the third biggest value in 3\/5, 3\/20, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 10:26 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 21\/5 of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -19*i**3 + 3*i**2 - i - 1. Suppose 0 = 5*p - 4*p - 1. Let r be c(p). What is the smallest common multiple of (47\/9 - 5) + (-158)\/r and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 289 = 2*j, -2*j - t - 162 = -3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 88*(0 + ((-441)\/56 - -8)). Suppose 2*x + 3 = 3*x. Differentiate -c - 2*d + 9 - x*d + 0*d with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -511 - -5685115\nAnswer: 5684604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 88, 177, 266, 355, 444?\n\"Answer: 89*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 1 = b - 2*j, b - 10 = 5*j. Suppose 0*q = 3*s + q + 2, 4*s - 29 = b*q. Is s greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from edddddeddddeed. What is prob of picking 2 d and 1 e?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -247 or -248?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**5 - 18*l**4 + 18*l**3 + 84*l**2 - 135*l + 54 = 0. Calculate l.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - -8. Let m be 4 + c + 0 - -261. Let s = m - 167. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*f*i*n + 7*f*i + 1184620*f*n + 2*f - 1035*i*n - 16*i wrt i?\nAnswer: 16*f*n + 7*f - 1035*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -100451 - -6027211\/60. What is the common denominator of 19\/80 and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -26  (b) 47  (c) 2  (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 85449 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0*i - i - 3)*(-157028 + 157028 - 65*i**2) - i**3 + 5*i**3 - 3*i**3.\nAnswer: 66*i**3 + 65*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 63\/2 - 30. Let f(l) be the first derivative of 1 - l + w*l**2. What is the derivative of f(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 416*c - 4 - 5 + 428*c + 382*c - 1180*c as d + t*c and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 4*k = -5*z - 22, 35 = 4*z + k. Suppose 0*u + z*u = 864. Is 46 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m + 7. What are the prime factors of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2. Let k(n) = 3*n**2 - 4*n. Let u be (6\/12)\/((-1)\/(-8)). Let c(w) = -8*w**2 + 11*w. Let t(y) = u*c(y) + 11*k(y). Calculate p(t(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6205 - -330\nAnswer: -5875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 9*p**2 - 21*p - 4. Let l be d(-4). What is the closest to -3\/7 in 31, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.80003 * -45.\nAnswer: 126.00135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*2*sqrt(117) - -3*(sqrt(117) + sqrt(117) + 2*sqrt(117)))\/(5*(sqrt(45) + sqrt(1620) - sqrt(45))\/sqrt(5)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-5)\/w)\/(w\/(w*w**4*w))*(w**1)**12 assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7348140 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 2*k. Suppose -2*n - 3*o - 25 = 0, k*o + 40 = -n - 4*n. Let z = -39 + 38.7. Sort n, -3, z in decreasing order.\nAnswer: z, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 21*b**2 - 6 - 14*b**2 + 2 + 45*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 40 = -3*y. Suppose -2*z + 5*c = 3*z - 20, -c - 22 = -4*z. Solve -y = -4*b, -3*s - 2*b = -z*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s + 12 = -2. Let k = 1 - s. Is (k + 374\/(-4))*(-20 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 230 - 1212\/5. Calculate the common denominator of q and 14\/1087.\nAnswer: 5435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r**3 - 22*r**2 + 5*r + 25. Determine u(6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 - -59. Let k = -2.5 + 3. What is the nearest to n in 3, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1031858 divided by -71.\nAnswer: -1031858\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -3*r**2\/4 + 12369*r\/4 - 37053\/2 = 0.\nAnswer: 6, 4117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-6 - (3 - (18 - 3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8665 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d - 14. Let c be o(-46). Suppose 0 = -p + 3*t + 5, 4*t + c - 2 = 3*p. Calculate the greatest common divisor of 77 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -4*k - 18 - 46, 0*v - 19 = 6*k - 4*v + 2 + 65 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1176619459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17910*a**4 + 24*a**3 + 15*a**2 - 3542*a - 803?\nAnswer: 214920*a**2 + 144*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2\/19093 + 57269\/95465. Factor 3\/5*d**4 + 2\/5*d**3 - x*d - 1\/5 - 2\/5*d**2 + 1\/5*d**5.\nAnswer: (d - 1)*(d + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -248, -17408, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -27*l + 3105. Is z(29) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13653 and 12987?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 0)*(0*n + 0*n - n**2) + 0*n**2 - 2*n**2 + 0*n**2 + (5*n - 2*n - n)*(-n - 6*n - 8*n) - n**2 - 2*n + 2*n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from hwytetteyettttettt.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, o: 8, u: 4, f: 1, x: 6}. Give prob of picking 1 f and 3 o.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -720469*n**3 - 304*n - 111 wrt n?\nAnswer: -4322814*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1664364 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/30 and -37\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*d - 19*d - 497 = 30*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2386, -4847, -7388, -10009, -12710, -15491, -18352?\n\"Answer: -40*n**2 - 2341*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - -9. Let t = o + 20. Let x be (-3)\/(-4) - 404\/(-16). Calculate the highest common factor of t and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205926077, 411852151, 617778225?\nAnswer: 823704299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**5\/5 - 9*t**4\/5 - 32*t**3\/5 + 23*t**2\/5 + 96*t\/5 + 52\/5 = 0.\nAnswer: -2, -1, 2, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*1\/4 + 102. Suppose 5*y = 3*y + z. Let n = 135 - y. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -b20?\nAnswer: -b1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 2*d + 35. Let m be q(-6). Suppose -333 = -m*p + 20*p. Is -38 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 17  (c) 0.4  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g + 125 = -14*g + 51. Let i(x) = -4*x**2 - 7*x + 1. Determine i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-12) + ((-273)\/18)\/13.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-39420)\/99 + 4\/22. Let g = 453 + b. What is the highest common divisor of g and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100223 and 1800728.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2787074263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -122 - -106. Let x(s) = s + 22. What is the remainder when 21 is divided by x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**10*y)\/(y*(y\/(y\/y**(-7)))\/y))\/(y**(2\/31)*y**(-3)*y) assuming y is positive.\nAnswer: y**(649\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10465967*j*z**4 - 31*j*z - z**2 + 896680*z wrt z.\nAnswer: -125591604*j*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 13*m**2 + 12*m + 1. Suppose 42 = -5*w - 18. Let p be k(w). Let d(n) = 109*n - 4. Is d(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*a + 3. Let z = -2.9 + -0.1. What is the third smallest value in -1\/3, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**7*t)\/t*t**7)\/(t**2\/t*t**(2\/3)\/t))\/((t*t**(-1)*t)**(-10\/3))**(-3\/17) assuming t is positive.\nAnswer: t**(650\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 12*w**2 - 4*w - 210. Calculate the least common multiple of q(-9) and 231.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d + 219. Calculate s(-23).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 684744 (base 15) to base 9.\nAnswer: 10324281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 268117, 536234, 804351, 1072468?\n\"Answer: 268117*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2806 divided by 24\nAnswer: -1403\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, x: 2, e: 1, a: 6, f: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126 and 7470?\nAnswer: 52290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 - -36. Let p = 16 - g. Suppose 1 = -p*w + 6*w. Sort 2, w, 4 in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = j. Let a = -3.8 + 3.8. Are a and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 159579 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 533*l**7\/42 + l**6\/30 - 2971*l**4\/6 + 4523*l. Find the third derivative of n(t) wrt t.\nAnswer: 31980*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - g = 19. Let d = g + 26. Solve 5*p + d = -8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-12) - (34\/(-3))\/2. Let k(v) = 1 - 125*v**2 - 5*v + 126*v**2 + v. Calculate k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2368775 is divided by 877?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 143?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 335566*t**3*u + t**2*u - 3*t**2 - 3*t - u + 478 wrt t.\nAnswer: 2013396*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11347*s**2 + 298*s**2 - 754*s**2.\nAnswer: 10891*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 523*l*v**5 + 2*l*v**3 - 4*l*v**2 - 11*l*v + 3*l wrt v?\nAnswer: 31380*l*v**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 11*y + 25. What is the tens digit of a(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -43. Suppose -2*d - 1320 = n*d. What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 2121176, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1038154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and 1272617.\nAnswer: 1272616.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4228*m - 123086. Determine d(-29).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 8*d**2 + 5*d + 14. Let y be s(7). Solve v + 4*v - 20 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 1, -9, 26, -4, -1 in ascending order.\nAnswer: -17, -9, -4, -1, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/210 and 81\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - 6*d**2 + d + 1 + 0*d**2 + d**2 - 2*d**2 + (5*d - d - 2*d)*(-d + 0*d - d) + 12*d**2 + 4*d**2 + 6*d**2.\nAnswer: 11*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29605*i**2*r**2*u*x - 6*i**2*r*u*x - i*r**2*u - 3*i*u - 2*i + 7*r*u*x + 47*r wrt i.\nAnswer: 59210*r**2*u*x - 12*r*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/3))**34)**20 assuming z is positive.\nAnswer: z**(1360\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -6. Let k be 8\/6*12\/8. Let u = a - k. Solve u = -5*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6431 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*z**2 + 7*z**2 + 431*z**3 - 161*z**3 - 226*z**3 - 10*z**2 to the form r*z**3 + j + w*z**2 + q*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 24 = 2*q, 4*q - 4*k + 12 = -7*k. Is (-9 - q)*33412\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(10\/13)\/(q\/(q**(11\/3)*q)) assuming q is positive.\nAnswer: q**(173\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 56\/3. Which is the nearest to o?  (a) -1  (b) -0.5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -8522, -508, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1557433621 to the nearest integer?\nAnswer: 39464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8034 by -3.\nAnswer: -2678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(104)*3)\/((sqrt(8)*-5 - sqrt(8))*6 + sqrt(8)))**2.\nAnswer: 117\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 24*g**2 + g + 1. Suppose 5*o + 1 = 4*o. Let q be m(o). What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75566232 is divided by 18891553.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/16 and (0 - (-2)\/15)*(-710)\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322520*y**3 + 645035*y**3 - 322518*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.209 + -42504851\nAnswer: -42504851.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2*-1.31\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -445 + 286005.\nAnswer: 285560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3*u**2 + 13*u - 4. Let k be g(-5). Suppose -4*n = -k*n + 184. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 2*f - 4*f - 24, 3*f + 96 = 4*n. Calculate the remainder when 527 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5278632012 to the power of 1\/2, to the nearest integer?\nAnswer: 72654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 543506 (base 7) in base 2?\nAnswer: 10111001011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**3 + 18*x**2 - 18*x - 13. Let g(l) = -4*l**3 - 27*l**2 + 27*l + 19. Let n(h) = 5*g(h) + 7*j(h). Let k be n(8). Is (536\/k)\/((-2)\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -170624122 + -0.4\nAnswer: -170624122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/8222155?\nAnswer: -3\/8222155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nrnnwwrnnwrnnnnnrnnn. What is prob of sequence nw?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 - 9*y**2 + 4*y + 2. Let g be n(-5). Suppose 0 = 3*j - g*j. Solve -3*o = -4*t + 17, j = -3*o + t - 5*t + 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -253 + 250. Let j = -0.06 - -0.06. Is j bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 1. Suppose q - 6 = -w. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.4 + 2.6. Let h = 5.7 - y. Let n = h - 1.9. Is 0.2 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -30, -11, 10, 33, 58, 85?\n\"Answer: a**2 + 16*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/319, -5, 0.1, -1, -222.78.\nAnswer: -222.78, -5, -1, 1\/319, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 5506, -2, 2, 4, 5, 1 in increasing order.\nAnswer: -20, -2, 1, 2, 4, 5, 5506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2774017 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-15)\/(150\/8)*5\/(-2) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -8. Let m = 3 + -7. Let k = z + m. Is -1 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = w, -3*w + 5 - 38 = -3*g. Let s(z) = z**3 - 14*z**2 - 16*z + 19. Let t be s(g). Differentiate 2*k**2 - 1 + 2*k**3 + t*k**2 - 6*k**2 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 588.4042 days to minutes.\nAnswer: 847302.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 313149097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-6\/11))**(2\/17)\/((t*t**(-4\/7))\/t)**(-3\/11) assuming t is positive.\nAnswer: t**(-134\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-216)\/(-704)*(-6 - (-120)\/36).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1425\/1973, -0.01, -1 in decreasing order.\nAnswer: -0.01, -1425\/1973, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - g - 1)*(-4*g**2 + 2*g**2 + 0*g**2) + 30*g**3 + 47*g**3 - 219*g**3 - 192*g**3.\nAnswer: -332*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -35035728 divided by 546\nAnswer: -64168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 15*g**2 - 13*g - 10. Let l(x) = -2*x + 34. Let k = 76 + -106. Let i be (k\/(-4))\/((-48)\/(-64)). Let c be l(i). What is t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/2)\/((-1)\/12). Suppose -d - m = -4*d. Let l(k) = k**2 + 2*k - 2. Let p be l(-4). Calculate the highest common factor of p and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4 + 40 = 0. Differentiate -z*n**2 - 5*n**3 - 6 + 9*n**2 + 0 wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 55*u**3 - 17*u**2 - 474*u + 474. Calculate l(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10636.8186 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/140 and (-2138)\/1260 + (-39)\/130*-5.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - (-17 - (-1)\/(1\/2)). Let j be (4\/(-5))\/(s\/30) + 2. Factor -1\/3*m + j + m**4 + 1\/3*m**3 - m**2.\nAnswer: m*(m - 1)*(m + 1)*(3*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -137471 (base 8) to base 12\nAnswer: -243b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 672604623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 8, 3*q + q - d = 34. Is 128 + 3 - (q - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s - 7*s + s + 2*s - 3*s**2 as a*s**2 + q*s + d and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7.2 and -35827.24052?\nAnswer: 35834.44052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34913214 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-6)*171\/38.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1551 + -89971\/58. Let j = r - -202\/319. Calculate the common denominator of j and ((-1)\/(-9))\/((-4)\/(-618)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/5)\/(1\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -1.2  (b) 75068\/3  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, r: 2}. Give prob of picking 1 v and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 51, 5\/6, 7, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 - -21. Let z be 4799982\/(-6) + 3\/h. What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55681?\nAnswer: 55681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*z - z**3 + z**2 - 4*z**2 + 0*z)*(3 - 4 + 2) to the form h*z**3 + t + p*z + x*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w. Let j(s) be the first derivative of 189*s**2\/2 - 68. Determine j(f(p)).\nAnswer: -378*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*q**2*t**4 + q**2 - 1585*q*t**4 + 2*q*t**2 + 3700*t wrt t.\nAnswer: 96*q**2*t - 38040*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 19*h**2 - 15*h - 38. Give i(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 31*i + 17*i - 58*i. Solve j + 13 = -j - d, 0 = i*j - d + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011111111010111110000 (base 2) in base 4?\nAnswer: 23333113300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 10, b: 4, i: 2, z: 3}. Give prob of sequence izmz.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**5 - t**5 + t**5 + (-t**3 + 2*t**3 - 3*t**3)*(-13*t**2 - 2*t**2 + 3*t**2) - 2*t**5 + 1 + 0*t**5 + 3*t**5.\nAnswer: 21*t**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2221 - -2216. Which is the smallest value?  (a) d  (b) 50  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -28*c**2 - c + 3937. Let o(s) = s. Calculate q(o(v)).\nAnswer: -28*v**2 - v + 3937","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 3*h + 15, -9160*o + 9165*o + 3*h + 23 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1472 + 1359. Let l(j) = -j**3 + 2*j**2 + 8*j. Let d be l(-6). Let u = d + k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/5))**(-2\/5)\/((h\/h**(1\/14))\/(h*h**(4\/5)*h)) assuming h is positive.\nAnswer: h**(599\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.12?  (a) 1\/4  (b) -3\/5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49.9 - 50. What is the closest to r in -0.07, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2343 or -0.1?\nAnswer: 2343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 124430303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 180409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 11*g**2 + 17*g + 17. Let y be a(-11). Let o = y - -245. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*v - 2*o + 116, 2*v = 2*o + 100. Let k = -36 + v. Calculate the greatest common factor of 45 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + t**2 + 4*t - 3. Let v be r(3). Let d(o) = -3*o**3 - 14*o**2 - 8*o + 9. Let w be d(v). Is w\/28 + (-1)\/(-2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*x - 19 = -10, 5*g - 5*x = 10. Which is smaller: 1\/512 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8865, 8900, 8933, 8964, 8993, 9020, 9045?\nAnswer: 9068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((480\/(-400))\/(23\/5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2861 is divided by 315.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1567473 is divided by 265.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*y + 13 + 155. Suppose -y*b = -32*b + 36. Solve -z + 6 = b*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (76\/24 - 3) + 472\/48 + -4. Solve 112*m = 114*m - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9069 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49239\/131036 + 1\/8364. What is the common denominator of 15\/94 and d?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.955008714 rounded to four decimal places?\nAnswer: -0.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*y + 40*y - 28*y + 34*y.\nAnswer: 124*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*3\/27*2\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(80) - sqrt(80))\/sqrt(2))\/(sqrt(512)*2).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/(-4)*-9*12\/(-18) + 74602?\nAnswer: 7, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 + 63\/(5 + -12). Solve g = -r, 4*o - 8*o = -g + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 8356a50?\nAnswer: 8356a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -892.58 - -907. Round d to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -611, -2427, -5437, -9641, -15039, -21631, -29417?\nAnswer: -38397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 256 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11111000 (base 2) in base 12?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, d: 8}. Give prob of picking 2 w and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 1. Let s(x) = 5*x + 5. Calculate s(f) + 4*v(f).\nAnswer: f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*n + 30*n + 66 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) 3  (b) -0.3  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9))\/((-7)\/63*-3) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 23*f**2 - 43*f**2 + 23*f**2 + (-5 + 5 + 3*f)*(3*f + f + 2*f).\nAnswer: 21*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -45.7*13\nAnswer: -594.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1055\/13 - 81. Let l = 0 - 0. What is the nearest to l in 0.5, 4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 9*w + 14. Let z be u(10). Let x be (-40)\/18 - z\/(-18). Let k(f) = 4*f**2 + 4*f + 2. List the prime factors of k(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.2249 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 4 + 3*x**3 + (0*x + 0*x + x**2)*(-x + 0 + 0) - 2*x**3 - 4*x**3 + 5*x**3 in the form h*x + n*x**3 + w + z*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 152.5151 centuries to decades.\nAnswer: 1525.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9804721.\nAnswer: 9804721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-2\/13)\/y)*y**(-3\/22))\/((y**(-11\/4)*y)\/(y\/((y\/y**(-5))\/y))) assuming y is positive.\nAnswer: y**(-133\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -12 + 1 + 7 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -26809 to the nearest 100.\nAnswer: -26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 517.27mg?\nAnswer: 517270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4333913 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(170) + 2*sqrt(170)*2 + sqrt(170) + sqrt(170))\/sqrt(10) - (sqrt(204)\/(1*sqrt(12)) + -2)) + 3.\nAnswer: -30*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 806\/(-65) - (-8)\/20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from avvaav.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -1262.\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 43 - 51 - -4 - (-4 + 8 - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.40193 - -13.2?\nAnswer: 11.79807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/73 at least 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -30*l**2 - 11660*l + 6809445. Let t(m) = -37*m**2 - 11658*m + 6809445. Let i(s) = 6*g(s) - 5*t(s). Solve i(j) = 0.\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26186 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i. Let m(j) = 40*j + 39. Determine s(m(x)).\nAnswer: 40*x + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4*w - 3)*(0 + 1 - 4)*(-w + w + 3*w + (2*w + 3*w - 4*w)*(3 - 1 - 4) + 2*w + 0*w - w) - 2 + 2 + 2*w**2 in the form n + o*w**2 + y*w and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 25. Solve -4*d - 2*x = o, 4*d - 23 = 5*x - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*n = 2*h - 6, -28 = -h + 3*n. Suppose -5*d + 97 + h = 0. What is the greatest common factor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 333290 to the nearest 1000.\nAnswer: 333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5881 and -0.8?\nAnswer: -4704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65524, 131033, 196530, 262009, 327464, 392889?\nAnswer: 458278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -77 by 485679.\nAnswer: -77\/485679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -132, -223, -332, -465, -628, -827, -1068?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 659999 is divided by 2025?\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 483, 1983, 4475, 7983, 12531, 18143?\n\"Answer: 4*a**3 + 472*a**2 + 56*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 5 = 30 - 7, y = 13*u - 19*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65 (base 8) to base 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yqqyqqqqqqyaqqq. Give prob of picking 2 q.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8.53677 millimeters?\nAnswer: 8536770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2297 and -3.\nAnswer: 0.6891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.989 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and 3\/716 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (1 + (-5 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 7, 9.\nAnswer: 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 13*z - 63. Calculate m(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2, 0.3, -1, -150?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r. Let q(s) = 21*s. Let x(z) = -14*i(z) - 2*q(z). Let a(j) be the third derivative of -j**4\/12 + 9*j**2. Calculate a(x(o)).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r + 8. Let t be f(7). Let h be (16 + -8)*t\/4. Suppose 0 = -3*q + h + 22. Calculate the remainder when 13 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 8*g - 6 + 11.\nAnswer: -8*g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3224*-0.091\nAnswer: 293.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/4)*z**(12\/11)*z)\/(z\/(z*z**(-15)\/z*z)*z**(-3\/2)\/z) assuming z is positive.\nAnswer: z**(-447\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = -31143 - 7170. Are i and -4257 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7368305 (base 9) to base 4\nAnswer: -33002210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 197*a**2*x**2 + 8*a**2 - a*x**4 + 27*a - k*x**2 + 2*k wrt x?\nAnswer: 394*a**2*x - 4*a*x**3 - 2*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -500e + -6?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 less than or equal to 165\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4909132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 230471 + 5?\nAnswer: 230476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/1*(-8)\/5. Let g = a - 3. Find the common denominator of g and (91\/(-30))\/((-1)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13424 and 316.\nAnswer: 1060496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20654649 is divided by 482.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6 - 6) + 75\/25. What is the smallest value in -1.2, -2, i, 1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + (24 + -15 + 14 - -46) + 21?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16448 - 296141\/18. Let y = 48 + -769\/16. Find the common denominator of y and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2342362800 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most as big as 32555795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1155347 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1999795, 1999693, 1999591, 1999489?\n\"Answer: -102*k + 1999897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = 3*h - 5*s - 25, 0 = h + 5*s + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -71724 - -1434189\/20. Let o = -103\/4 - n. Find the common denominator of 61\/6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 4 + -1 - -1) + (-68 - -87)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -1\/2, 0.5, -17.7 in descending order.\nAnswer: 0.5, -1\/2, -1, -3, -17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6*(2 - ((-5159)\/368)\/(-7)). Let t = 537\/920 - x. What is the second smallest value in 1\/6, 0.5, -5, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -2\/5, -2, 21 in increasing order.\nAnswer: -2, -2\/5, 2\/13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 8 = -4. Let p = x + 0. Find the first derivative of -p - 3*h - 6*h**3 - 4*h + 7*h wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -1\/4, 50, 0.02, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -171 divided by 5?\nAnswer: -171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20\/9 + 22\/9. Let y = -11 - -7. Let s = -0.2029 + -1.7971. Which is the smallest value?  (a) y  (b) 2  (c) u  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-6) + 18\/27. Let y be (c - (-4)\/14)*7. Suppose -3*v = -3*b - 24, -5 = 3*b + 1. Solve -y = h, -2*g - 2*h + v = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182 divided by -58\nAnswer: -91\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 23*v = 20*v - 21, 5*v = 15*p + 13*v + 114 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -163140b (base 12) to base 15\nAnswer: -5eb34e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -142 - -140. Let s be (-18)\/(-15)*4*5. Let j be (((-40)\/2)\/q)\/(s\/12). Solve g + 20 = j*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 50 - 280653?\nAnswer: -280603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 291125.\nAnswer: 5, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61280 and 4213.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 20. Let g be 46\/(-6 - 4\/o). What is the tens digit of (g\/(-3))\/(4\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 522 and 8265?\nAnswer: 49590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**5 - 132*y**4 - 2001*y**3 + 149230*y**2 - 1806300*y + 6561000.\nAnswer: -(y - 10)**3*(y + 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*l + 61 + 47 = 0, -5*l - 10 = 0. What is the greatest common factor of s and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1567 and 9415.\nAnswer: 7848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 3*r - 572, -3*l + 254 + 66 = 4*r. Suppose -2*b - 2*b + l = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73755333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*b + 4 = 0. Suppose -5*n + n - 64 = -b*i, 5*n - 60 = -2*i. Calculate the remainder when 29 is divided by 3\/2*i\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134406\/1277 equal to 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -6. Suppose 2*n - 33*i - 83 = -30*i, -n - 2*i = -24. Suppose 2*c + j - n = 0. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09*-10.4\nAnswer: -0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.86 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 138004 * -41\nAnswer: -5658164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -x**3\/2 + x**2 + 47*x. Calculate the remainder when 123 is divided by r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 49*b - 129. Let c(i) = -30*i**2. Determine s(c(r)).\nAnswer: -1470*r**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9312, -9314, -9316, -9318?\nAnswer: -9320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 340 divide 3418410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*g**2 - 25118*c**3*g*z - 167*c**2*g**2*z + 2*c**2*g**2 + 2*c**2*g*z - g - 2*z wrt c?\nAnswer: 6*g**2 - 150708*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3877*b + 139787. Determine w(36).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of q**3 + 2*q**5 + 2*q**3 - 56*q - 30*q + 5*q**3 + 4*q**3 wrt q?\nAnswer: 40*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 282419437 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -12. Suppose 0 = 3*y + 2*y - i. Suppose -y*m = -w - 19, -2*w + 15 = -5*w. Calculate the remainder when 19 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82740 divided by -6?\nAnswer: 13790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + s + 2. Let h be y(3). Is -111*h\/(24\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6316 divided by 2215\nAnswer: -6316\/2215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12508106 and 2886486?\nAnswer: 37524318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**2 + 4*s**2 - 2*s**3 + (2*s**3 - 2*s**2 + 2*s**2)*(-4 + 3 - 1) - 14*s**2 + 14*s**2 + 23*s**3 as y*s + b*s**3 + g*s**2 + z and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -722031?\nAnswer: -722035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1940*i**4 - 7*i + 450*i**2 - 438*i**2 + 140*i wrt i?\nAnswer: -46560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*r - 0. Let t be r + -2 + 97 + 1. What is the highest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30211423 divided by 383.\nAnswer: 78881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-27750)\/20350 - (-9674)\/(-77)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 = -16*j - 336 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 7, 4, 398, -1.\nAnswer: -5, -4, -1, 4, 7, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**2. Let m(i) = -39580*i + 2. What is m(a(n))?\nAnswer: 197900*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3420)\/(-430) + 0)*1 + (1 - 9)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -200, -117, 20, 211, 456?\n\"Answer: 27*y**2 + 2*y - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**4\/5 - 147*u**3\/5 - 324*u**2\/5 + 47628*u\/5 = 0?\nAnswer: -18, 0, 18, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 71 = -29. Suppose -y = -4*m + 140. Suppose 3*i = -d + 36, -2*i = d - 3*i - 16. What is the remainder when m is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/15 - (-4)\/(-10). Solve k*v - 15 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 3 = 2*l. Solve -5*n + 15 = 5*a, 0 = 2*n - l*n - 4*a + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-904182)\/(-9)*1)\/((-32)\/(-48)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 3*p - 285 = 0. Is p at most as big as -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 40 = -5*o. Which is the closest to o?  (a) 0.5  (b) 0.1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 - -25. Let w = 32 - k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0704423*0.3\nAnswer: -0.02113269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-4 - -16) + (-36 - -26)) - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 13 = 16. Suppose -g*s - 3 = -k - 6*s, 5*s = 4*k - 46. Let p(i) = 2*i - 13. Let d be p(k). Solve 2*u - 6 = 2*y - 0*u, d*u = -4*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m = -3*m + 216. Let n = m + 36. Let t be (-8)\/(-2) + 1 + -2. Solve n*j - 3 = t*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 11*y - 71. Let o be u(7). Find the third derivative of -81*r**2 - 2*r**4 + 951 + 26*r**o - 3*r**6 - 951 wrt r.\nAnswer: 2760*r**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of 13\/35*t**5 + 1\/420*t**6 + 17576\/21*t**3 + 9*t**2 + 0 + 169\/7*t**4 + 0*t. Find b, given that c(b) = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2368100 rounded to the nearest 1000?\nAnswer: -2368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17552 - 17551.999987403. Round l to 7 dps.\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 728 and 119938?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*b**3 + 0 - 36*b**3 + 0.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of -4*j**2 + 14 + 1\/6*j**4 + 0*j**3 + 4*j. Factor l(x).\nAnswer: 2*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -717, -861, -777, -351, 531, 1983?\nAnswer: 4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -8*q. Let s(y) = -15*y**2. Give h(s(a)).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 163 - 268. Let j be (-7)\/(c\/65) - 5. Is 0.09 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 757471423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27317400 to the nearest integer?\nAnswer: 5227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t - 1. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4650793*d**2 + 4650793*d**2 + 41*d**3.\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7 or -82497.536?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-3 - 6) + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - -114. What is the highest common factor of g and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172\/198 + -1 - 12\/(-54)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -986 + -8?\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 3*k - 3683 = -4*c, 3*c = -5*k + 2765. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4288 - -6940. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-39)\/(-130))\/((-24)\/(-20)). Which is the biggest value?  (a) 0  (b) -3\/2  (c) 6  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -5*m**8\/336 + m**7\/6 - 5*m**6\/24 - 7*m**5\/12 + 5*m**4\/4 + m**2 - 486. Find k such that u(k) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 71307, 71277, 71247, 71217, 71187, 71157?\n\"Answer: -30*n + 71337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/2)*w*w**(-1\/3))**44\/(((w**5*w)\/((w\/w**(-2))\/w))\/((w\/(w*(w*w**(-3)*w)\/w))\/(w**(2\/5)*w))) assuming w is positive.\nAnswer: w**(1379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 12:56 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -2.445?\nAnswer: -2.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -6. Let u(i) = 6*i - 6 + 11 - 9. What are the prime factors of u(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2313 and 986109.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14744029373 - 14744029373 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4366 + 0.4366. Suppose 4 = -3*k + 5*k. Suppose 1 = -5*w - 3*o - 9, w + k = 5*o. Which is the biggest value?  (a) d  (b) 0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(6336) + sqrt(6336))*-1 - sqrt(6336))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3 + 24 = 0. Suppose 9*s - 93 = 240. Solve -n*c + s = 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*x - 1. Solve 2*u = -u - x*b + 18, -2*u = 4*b - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7807 and -6948.\nAnswer: 54243036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 2, -4, 0, 1 in descending order.\nAnswer: 2, 1, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2646, -2629, -2600, -2559, -2506, -2441, -2364?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -233 (base 8) to base 15\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 6*n - 3. Let l be z(6). Let o = l + 22. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l. Let w(y) = -y**2. Give n(w(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-11)*d**(-6))\/(d*d*d\/d**(2\/23)*d*d*d**(-11)) assuming d is positive.\nAnswer: d**(278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15282, 4, -1\/3?\nAnswer: -15282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 7 - 1)*(0 - q + 0) - 4*q + 0*q + 2*q + q + q - 4*q - 5 - 6*q + 5 to g + b*q and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22872342 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -61, -39, -17, 5, 27?\n\"Answer: 22*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 - 10*y**3 - 9*y**3 + 11*y**3 + 3 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*i**3*o**3 - 2*i**3*o**2 - 49060*i*o**4 - i*o**2 + 4*i*o + o**2 + 254*o wrt o?\nAnswer: 30*i**3 - 1177440*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.36, -8.89, 0.179.\nAnswer: -8.89, 0.179, 1.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 20*w - 67. Let t be d(-16). Suppose -5*s + s + 64 = 0. Let o = s + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 105\/(-441)*(-4 - (-33)\/15). Which is the smallest value?  (a) 3  (b) 1  (c) f  (d) -2  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 2*g**2\/7 + 203768*g\/7 + 203766\/7 = 0.\nAnswer: -101883, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 6 = -p, 4*p + 2 = 4*d - 14. Solve -d*w - 4*z = 14, 4*w + z + 0*z = -14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*u*x**3 + 2*u*x**2 + 4*u*x - 6*u - 16*x**3 + 2*x**2 + 14*x + 1 wrt x?\nAnswer: -48*u*x + 4*u - 96*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -483\/5*p + 54\/5 + 228\/5*p**2 = 0.\nAnswer: 9\/76, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105.4342 + -7692628\nAnswer: -7692522.5658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12120203 - 200?\nAnswer: -12121003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 76\/5 of a millennium?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from djdqdddddddjqjjq?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.53 + -0.03. Suppose 6*s - 25 = s. Suppose 2*p - s*k - 10 = 0, -p = -0*p + 3*k + 6. Which is the second biggest value?  (a) -0.4  (b) p  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1677 a factor of 51418497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -6*t + 6*t + 6*j, -9*t + 9*t + 4*t + 7*j = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/21 and 11\/21858.\nAnswer: 153006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.7 take away -0.19?\nAnswer: -14.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and 2984.\nAnswer: -17904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -209304 by -1368.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78.5 - 433.5. Let i = 355.3 + t. What is the nearest to 0.3 in 6, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from {k: 3, u: 3, g: 3, w: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 9*z**3 - 6*z + 45. Let h(b) = -26*b**3 + 19*b - 137. Give -19*c(u) - 6*h(u).\nAnswer: -15*u**3 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -17 * -10\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -1\/690220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + o = 4, -15 = 20*o - 15*o. Suppose 0 = -3*r - 14 + 2. Let i(l) = 4*l**2 - 8. Let t(v) = 8*v**2 + v - 16. Let p(z) = c*i(z) + r*t(z). Factor p(b).\nAnswer: -4*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100725 and 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5968 - 21112.\nAnswer: -15144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 252 and 24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -13. Let h be (9045\/(-18))\/(51\/(-40)). Let g = 394 - h. Sort -1, z, g.\nAnswer: -1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q - 4*q - 327*q**3 + 3465*q**3 + 8*q.\nAnswer: 3138*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41772 is divided by 1019.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3746441976 to the power of 1\/3, to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29457878 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/3)\/i**(-1)*i**(-2\/7)*(i*i**0)\/i)**15 assuming i is positive.\nAnswer: i**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*q - 2. Let y(m) be the second derivative of 4*m**3\/3 - m**2\/2 - 3*m. Let c be y(q). Solve 0 = -3*x + 3*w - c, 15 = 4*w + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.43 + 0.03. Let u = h + 3. Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 1)*(3*t + 0*t - 7*t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**5 + 62*c**4\/7 + 201*c**3\/7 + 278*c**2\/7 + 124*c\/7 - 24\/7.\nAnswer: (c + 2)**3*(c + 3)*(7*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(315) + sqrt(315))*-6 + sqrt(315))\/sqrt(7)*-2.\nAnswer: 102*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*q + 97*q + 116*q = -55*q + 27*q. Let o(p) = p**3 + p + 4. Let m be o(0). Solve -5*y + 10 = -5*d, q*d = -m*y - d - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 2*f**2 + 8*f + 7. Let o be u(-5). Let q = 222 - o. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 4. Let m be n(0). Suppose 3*a = -0*a + 27. Solve -5*l = -4*j + 11, 4*l + j - m*j = -a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14796 and 8461668?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7007 and 1969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 + (4505\/(-920) - -1))*-6. Let b = d + 1387\/828. Calculate the common denominator of 65\/111 and b.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (0 - 2 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of z**6\/90 - z**5\/15 - 19*z**4\/36 - 7*z**3\/9 + 3*z - 23. Determine g, given that d(g) = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.06 at most -6692487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -135*k. Let t(y) = -15 - 9 - y + 24. Determine o(t(x)).\nAnswer: 135*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1546, -6267, -14136, -25153, -39318, -56631?\nAnswer: -77092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6949 and -0.5.\nAnswer: -3474.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (15\/(-60))\/((-2)\/40). Suppose -24 = -4*s + c*h + 12, 8 = 3*s + h. Solve 4*v = o + 22 - 3, -o = s*v - 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5923.094ml in litres?\nAnswer: 5.923094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from clcdddllhdcdl. What is prob of picking 1 d, 1 l, and 1 c?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/202 and -27\/16?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/14, -5, 0, 1, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2134095212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + (-4 - -25) + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 167 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 AM and 7:58 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, y: 2, l: 3, i: 1}. Give prob of picking 2 l, 1 y, and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -732 - -733. What is the closest to -1 in 2\/5, b, 75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 387 + 301. Let s = -270 + n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**2 + 5*r + 3. What is p(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b1122 (base 13) to base 3.\nAnswer: -121002020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 954299.26 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 4 - (3 + -1)) + -388 + 110 + 269?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -121*y**4 + 19853*y**3 - 30517645 with respect to y.\nAnswer: -484*y**3 + 59559*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6387 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 559872166 a multiple of 1358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + 1. Let c = 20 - h. Let d = -11 - -21. Calculate the smallest common multiple of c and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 119*y + 242. Let l be i(-2). Solve s - 5*q - 30 = 0, 7*s - 9*s = -l*q - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15*(-299)\/(-1035) - (-136)\/30\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 457226775 to the power of 1\/2, to the nearest integer?\nAnswer: 21383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2695 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 10*k - 10. Determine m(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddmp when four letters picked without replacement from mmmmmmdmdpmmppm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 6:11 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of i**6\/36 + 7*i**5\/120 - i**4\/9 - i**3\/9 - 2*i. Factor r(y).\nAnswer: y*(y - 1)*(y + 2)*(5*y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.1740006g?\nAnswer: 0.0000001740006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46 + 48. Let m(w) = 2*w - 7 + 3 + w + 0*w. Let z be m(3). Sort z, 0, l in descending order.\nAnswer: z, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -72 + 361\/5. What is the closest to 1\/3 in a, 73, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 134  (b) -3  (c) -4  (d) 0  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6797844 and 2484?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3942 and 6132.\nAnswer: 55188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10.4 + 13.4. Which is the closest to 2\/13?  (a) -2\/3  (b) o  (c) -0.07  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10061082 divided by -6\nAnswer: -1676847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-4 + 2 + -2 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 705 = 10*w. Calculate the remainder when 180 is divided by w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3829 + 3338 = 290*h + 2527 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 25*v - 1. Let n be 8\/((-32)\/3)*160\/(-15). Let l(r) = 21*r - 9*r - n*r. What is l(g(z))?\nAnswer: 100*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 17*b**2 + 3*b - 792. Does 18 divide n(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 16) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(30\/(-34))*(-1)\/(-2))\/(120\/(-144))\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 346085590 and 11.\nAnswer: 3806941490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -15*m**2 + 2*m - 2. Let d(g) = 79*g**2 - 10*g + 50. Let z(h) = 159*h**2 - 20*h + 113. Let n(k) = 7*d(k) - 3*z(k). Give -2*n(i) - 11*o(i).\nAnswer: 13*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbxx when four letters picked without replacement from {w: 1, x: 10, j: 1, b: 2}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 8531927.307 to the nearest 10000.\nAnswer: 8530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + c = 22, 105*t = 36*t + 74*t + 4*c + 37 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8 + 273\/(-35))\/(14\/(-28)). Let p(v) = -v**2 - 5*v - 2. Let d be p(-4). What is the nearest to 1\/2 in -5, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 59*r + 653. Determine z(-23).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -165, -995, -3207, -7491, -14537?\n\"Answer: -115*i**3 - i**2 - 22*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 58 = 2*g + 5*w, -93 = -4*g + w. Let a be (446\/(-5))\/(g\/20). Is -75 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) -759  (c) -1\/3  (d) 2\/5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1245430 + -1155?\nAnswer: -1251025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 40673433 times 1\nAnswer: 40673433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 89  (b) 13  (c) -1\/4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.4457 and 0.\nAnswer: -1.4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 694772 divided by 4?\nAnswer: 173693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -30*h. Let o(t) = 0*t + 8*t + t - 6*t - t. What is n(o(c))?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 24422114 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 4*g + 28 = -4, 3*c + 24 = -4*g. Let t = c + 0. What is the least common multiple of 18 and 60\/t*(-4)\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68310448 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -13.778493.\nAnswer: 5.5113972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -48, -4, -3\/4 in decreasing order.\nAnswer: -3\/4, -1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - 2 + 8*s - 6*s + 3*s + 0*s + s**3 to the form a*s**3 + j*s**2 + x*s + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 25*a - 116. Let c be g(4). Suppose 0*v + 3*v = 4*p - 5, 4*p + 2*v + 10 = 0. Sort p, 3, c in increasing order.\nAnswer: p, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*w - 20 = 82*w. Suppose 38 = 5*t - 8*n + 10*n, 0 = -2*t + 2*n + w. Solve t*h + 0*h = -30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35 or 111?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16355?\nAnswer: 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3074 - -12?\nAnswer: -3062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42.7589 - 0.4711. Let y = k + 43. What is y rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 6994*r - 673. Is u(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12973.8505 - 4417.133. Let i = 17383 + l. Let d = i - -8. Round d to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35931478 to the nearest integer?\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 684 + -684. Let s = 44 + -42. Which is the nearest to 2?  (a) s  (b) -0.3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 (base 5) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 - -29. Does 17 divide (-12)\/c - (-665)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 6 = -2*i + 3, 0 = 5*d + 5. Find the third derivative of 2*z**5 - 11*z**2 + 2*z**i - 1 + 1 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 2785092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + f**2 - 2*f - 1. Let k be w(-2). Let a = 522 + -528. Let p be (k\/(-6))\/(4\/a). Sort 3, 0.2, p.\nAnswer: p, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -19. Solve z*i = -0 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 7 + 2. Suppose i*f + 11 = v + 4*f, 2*v = 3*f + 12. Let g(s) = s**3 - 11*s**2 + 19*s - 4. Let r be g(v). Sort r, -5, 4 in increasing order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -60*u**4 + 17*u. Let x(p) = -30*p**4 + 9*p. Let g(d) = 3*n(d) - 5*x(d). What is the second derivative of g(y) wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 16895249 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*q**2 - 113*q**2 + 2*q**3 + 25*q**2 + 19*q**2.\nAnswer: 2*q**3 - 138*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 39 + 11 = -2*f, 2*f - 5*x = 28. Suppose q - 3 = f. Let b = q + -12. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(1620) - (sqrt(1620) - (5*(sqrt(1620) + (sqrt(1620) - (sqrt(1620) + sqrt(1620)*1))) + sqrt(1620)))) + -2*sqrt(1620)*6)\/(-3*-6*-2*sqrt(400)).\nAnswer: 11*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 6:08 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.017309 + 4008.382691. What is q rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o = o - 40. Solve -o*m + 5*u - 10 = m, -5*u = -2*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - f = f + 10, -2*n - 5*f - 25 = 0. Suppose l = 4 - n. Find the common denominator of 1588\/504 + l\/(-18) and 7\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 5*m - 4*m)*(13 + 40 + 9)*(3*m + 0*m - 4*m)*(0*m**2 + 2*m**2 - 3*m**2).\nAnswer: 62*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*g + 20, -4*f + 8*g - 25 = 3*g. Suppose f = -3*p - p. Solve 4*u = -5*i + 13, -5*u + 3*i - 2*i + 9 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/21 - 54\/(-42). Solve z = -6*p + 4*p - 3*r, 5*p + 15 = 5*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 343933*h**6 - 1090*h**2 + h + 13?\nAnswer: 41271960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 51 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 - -34. Which is the biggest value?  (a) 0.5  (b) w  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3613031 or -3613034?\nAnswer: -3613031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**2 + 31*p**2 - 6*p**2 as h + s*p**2 + x*p and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -101*f**6\/6 - 7*f**3\/3 + 9*f - 62. Find the third derivative of k(l) wrt l.\nAnswer: -6060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-8)*f**20 assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (28 - -7)*((-537)\/(-15) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95558474 - 0.0480932.\nAnswer: -95558474.0480932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 73*w**3\/3 - 1675*w**2\/2 - 2762. Find the second derivative of x(s) wrt s.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22.9 - 23. Suppose 5*y = -2*v - 27, 2*v + 3*y - 2*y = -7. Let l be ((-2)\/(-6) + 1)*3. Which is the closest to -1?  (a) d  (b) l  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*i + 91 = -2782*o + 2784*o, -o + 28 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18758 + 19340. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/6*4\/(1 + 0). Let q = -26 - -30. Solve q*o = g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 3492.\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 25.077099 months?\nAnswer: 0.0208975825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -422, -842, -1414, -2138?\nAnswer: -3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2))**(-1\/38)\/(((j*j**(-2))\/j)\/j)**(-30\/13)*((j\/(j*j*j**(-3)\/j))**(-1\/59))**(-3\/5) assuming j is positive.\nAnswer: j**(-498392\/72865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 143713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2448)*-2 + -3 - sqrt(2448))*5.\nAnswer: -900*sqrt(17) - 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18278 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n + 8. Let q(j) = 16*j - 44. Let y(f) = -4*q(f) - 22*u(f). Let g(v) = 1256*v**2 + 1. Give y(g(i)).\nAnswer: 2512*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/(5\/6) + (-26860)\/(-17775)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 0 - 3) + 64 + -66?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9278800 and 3479550?\nAnswer: 27836400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-6))\/((-2)\/4). Let v = 611\/6195 + -1\/295. Let l = 0.6 - 0.3. Which is the closest to -5?  (a) u  (b) l  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/13 at most 1315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 114 * -0.4.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 405169529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - v - 3)*(28*v - 12*v - 7*v) + (5*v**2 - v**2 - v**2)*(4 + 3 - 5) - 3*v + 3*v + v**2 - 5*v + 2*v - 3 - v**2 + 5.\nAnswer: -3*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 155490\/533 in 0.5, -1\/4, -0.4, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 9 + -4 - 0 - (-10 - 7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t = -24*t - 2705. Are t and -540 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 9.5. Suppose 104*b = 106*b + 2*p - 2, -2*p = 4*b - 2. What is the closest to -1 in 10\/9, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2436*l**5 + 10*l**3*p + 4*l**2*p - 5308*p wrt l?\nAnswer: 146160*l**2 + 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*(-12)\/(-126) - (-407)\/77. Solve -m = f - 3, 0 = 8*m - 6*m - n*f + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.83212 * 81\nAnswer: 67.40172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 11*r**2 - 12*r + 7. Suppose -4*g + 2*q - 45 = 5*q, -2*q = 5*g + 58. Does 6 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829 is divided by 244.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*o + 1 + (4*o - 2*o + 0*o)*(6 - 3 - 1) - 5*o + 15*o + 10*o - 2*o + 0*o + o)*(-5*o + 3*o + 0*o)*(0 + 0 - 1).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p**3 + 70*p**2 - 23*p + 128. What is n(23)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 38, -6 in increasing order.\nAnswer: -6, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*h**2 + 10*h**2 + 16*h**2 - 55*h**2 + 13*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 208*m**2 - 331*m + 1006. Calculate the remainder when t(3) is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 + 3*q**3 + 4*q**3 + (-2*q**2 + 5*q**2 - 2*q**2)*(690 - 690 + 16*q))*(-1 + 4 - 1)*(3 + 8 - 3).\nAnswer: 400*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-11 - -5) + (12 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-2) - (-138)\/12. Let z = 5 + -11. Let f = z - -11. Solve -4*c = 3*a + f, -2*a + 5*c + y = -23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.2, -2\/13, 20.\nAnswer: -0.3, -2\/13, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/12*(860\/100 + (-8 - -3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + 1 + -1)\/(123\/(-164)). Suppose -55*r + 29*r = -234. Calculate the remainder when j\/6 - (4 + 700\/(-15)) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8283162?\nAnswer: 2, 3, 881, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1161526*l**3 + l**2 + l - 175082732.\nAnswer: -3484578*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - (1 + -1)) + 22. Let m be (6\/(-8) + (1 - 0))*5272\/1977. What is the third smallest value in 0, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66 - 64. Suppose -4*o + 28 = 4. Suppose -o + 5 = -a. Solve -f*r - 1 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 25*i**2 - 14*i - 355. Determine a(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 612 and 22194?\nAnswer: 754596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/975 and 35\/13?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-10) + 3 - (-10 + 17)*32\/28?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/4 - 87\/5. Let x = -87\/5 - r. Put 2\/11, 4\/7, x in descending order.\nAnswer: x, 4\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12530339*f**5 - 2*f**4 - 4*f**3 + 889558*f**2 - 2*f + 1.\nAnswer: -751820340*f**2 - 48*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -25b2359 (base 12) to base 7\nAnswer: -120210546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -481475 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3624 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59263*w**2 + w + 2166.\nAnswer: -118526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22632816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 594, 590, 584, 576?\n\"Answer: -q**2 - q + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 11*x + 6. Let p(d) = -2*d + 1. Let q(s) = -4*h(s) + 22*p(s). Let g(k) be the first derivative of q(k). Let a(v) = 3*v**2. Calculate g(a(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -9*u + 11. Let g(y) = y - 3. Let h(z) = 6*g(z) + p(z). Give h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/8 - -3)\/(30\/(-280)) + 316420\/22620\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rnonbb. Give prob of sequence bob.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -572, -556, -540, -524, -508, -492?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4*l**3 - l**2 - l. Let u = 21 - 22. Let v be z(u). Suppose -3*x - x = -2*q - 10, -4*x + 16 = v*q. Solve -x = 3*t - 3*g - 6, 0 = -4*t + 3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -1280*t - 8. Let v(l) = -5*l. Give y(v(j)).\nAnswer: 6400*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00100213752 to 5 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, -110, -90, -50, 16?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l - 21. Let k be a(10). Let v = -10 + k. Let t = -15 - v. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 134.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*m - 21. What is the units digit of (-3 + m)*(-1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35106 and 21625296.\nAnswer: 21625296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 + 3*k**2 - 12 + k + 10.\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1292 - 249. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -249 and -23.4999.\nAnswer: 5851.4751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 16) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -49, -92, -131, -166, -197, -224?\n\"Answer: 2*v**2 - 49*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of -b**7\/280 - b**5\/60 + b**3\/3 + b**2. Let f(t) be the first derivative of p(t). What is the second derivative of f(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.69 + 0.69. What is the biggest value in 2\/3, -0.08, 2\/9, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 49824.59471 and -5.7.\nAnswer: 49818.89471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 408 = -208. Suppose 2*l = 2242 - v. Suppose -964 = -2*k - 2*z, z - l = k - 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**4 - 1060*d**3 + 7177*d**2 - 8290*d - 3600 = 0.\nAnswer: -360, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-4*6 + sqrt(88))\/(sqrt(8) - (4*sqrt(288) - sqrt(288) - sqrt(288)))*-5 + 1.\nAnswer: -115*sqrt(11)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5 = 1. Suppose -2*b - a - 4 = 4*a, -c = 3*a. Solve b*l - 2 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13481, -26825, -40169, -53513, -66857, -80201?\nAnswer: -93545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -5, -2\/7, -2\/5, -124?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 - 2. Let u be z(-2). Let j(d) = -2*d. Let g be j(-2). Solve u*b - g*b = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55533367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 7:32 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 - 16*g. Let l(a) = 82*a. Give w(l(k)).\nAnswer: 13448*k**2 - 1312*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -136*s**3 + 241 - 487 + 2*s - s + 246 in the form t*s**2 + h + w*s + j*s**3 and give j.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, d: 2, g: 4}. Give prob of sequence dh.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253522 is divided by 1377?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*-1*(-2)\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -1\/7, 0.3, -5494, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*d = -4, 0*m - 7 = -2*m + d. Suppose 57*z = 43*z + 14. Put -5, -3, m, z in decreasing order.\nAnswer: m, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12829*o**2 + 25890*o**2 - 9 - 13060*o**2.\nAnswer: o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 2*i - 2, -x - 2*i + 7 = 1. Let z = 11 - 8. Solve x*w - 5 = z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82 - 77 - (-1 + -1 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -517.\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*v - 4 = -15*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 1. Find the third derivative of 11*u + 2*u**j - 15*u - 18*u**5 - 8*u**2 - 5*u**2 wrt u.\nAnswer: -960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -4  (c) -0.38  (d) -1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3012 is divided by 555.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14\/10301 - 16285937\/41204. Let w = v - -396. Determine s, given that w*s**2 + 1 + 13\/4*s = 0.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h**2. Let p(u) = 3*u. Let x = 1 + -8. Let l(c) = -c. Let b(s) = x*l(s) - 2*p(s). Calculate w(b(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(-4\/3)*s)*s**(-3\/8) assuming s is positive.\nAnswer: s**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 p when three letters picked without replacement from {z: 1, p: 3, h: 3, q: 1, a: 1, e: 5}.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2886.24783 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/2, 2625, -0.6, -4\/5?\nAnswer: 2625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2441, 4890, 7337, 9782, 12225?\nAnswer: 14666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26452 and 510?\nAnswer: 396780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**8\/l**(-1\/9))\/(l\/((l\/(l\/l**(-1\/4)*l)*l)\/l))**23*l**3\/l*l**(3\/5)*(l\/(l*l**(-1\/2)))\/(l\/l**(-2)) assuming l is positive.\nAnswer: l**(-7837\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 47139217 at most as big as 47139217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124228 and 95212.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 11 = -2*m, -3*m - 4*c + 2 - 13 = 0. Sort m, -2, -66.\nAnswer: -66, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11591 + -7516. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - s + 24, 0*c - 3*c + 4*s = -36. What is the least common multiple of 30 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -222887, -890972, -2004251, -3562724, -5566391, -8015252, -10909307?\nAnswer: -14248556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*t - 4*l - 24, 0 = -4*l - 4. Let n be t\/2 - (-5 + 2). Let c(p) = -p**3 + 6*p**2 - 6*p - 2. Determine c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -20 - 75\/(-30)*8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9430\/3 + -546787\/174. Calculate the common denominator of y and -63\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -70 + 77. Solve 0 = n*y - 3*y - 2*t, -y - 4*t = -18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1792\/72)\/(-14))\/(((-350)\/(-126))\/25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -404 + 403.8272. What is j rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 5*b**2 + 55*b - 4. Let h be s(-11). Let w(q) = -54*q - 60. Does 10 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1463 - -27791\/19. Let m = 5.1 + -5. Put m, g, -1\/6 in descending order.\nAnswer: m, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 3*z - 4*r - 8, 3*r - 18 = -3*z. Suppose z*c + 39 = 3*x, 5*x - 50 = c + 32. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000131276478 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -0*j - 519520. Let y = -72880 - j. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**4 + 0*d**4 - 2*d**2 + 3*d**4 + d**4 + d**4 + 0*d**4 + (4*d**4 - 4*d**4 - 3*d**4)*(-1 - 3 + 2) + 2*d**4 - 3*d**4 + 3*d**4.\nAnswer: 12*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1368 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*4\/6 + 16 + -7. Let x(b) = 4*b + 17. Give x(z).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 - 19*i - 4. Let r be z(-16). Let s = -38 + r. Suppose -v + s = v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/493 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of 699*r**4\/4 + 769*r**3\/2 - 52*r - 10. Find the second derivative of k(x) wrt x.\nAnswer: 4194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 60 = -15*o. Sort 0, o, 4, 6 in increasing order.\nAnswer: o, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-28) + (-72)\/(-21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 49, 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/8*(-2)\/9. Suppose 0 = 6*d - 5*d. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 49*d + 178. Let s be p(45). Let j(l) = 14*l**3 + l**2 - 2*l + 1. Let b be j(1). What are the prime factors of -14*((-88)\/b - s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**0\/i))**(-37)*(i*i*i**(-2\/11))\/i*i*i**(-1\/5) assuming i is positive.\nAnswer: i**(-3981\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 148696.\nAnswer: 1\/74348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.8 + 3. Let z be 16\/(-70) - (-2)\/(-10). What is the second biggest value in z, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 4*h = 9*v - 180, 0 = 2*v - h - 109. Calculate the remainder when 103 is divided by v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 1706*r - 57995. Calculate h(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l**2 + l + 1. Let b be z(-1). Let d be 4*-1 - 0 - (52 + -56). Let f(q) = -2*q - 3*q + d*q + b*q. Let i(o) = -4*o. Calculate i(f(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 6. Let w(y) = y**2 + 4*y + 3. Let k(q) = q - 7. Let h be k(3). Let t be w(h). Determine l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/5)\/2*(480\/(-9))\/(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -92  (b) 0.4  (c) -5  (d) 0  (e) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 21 + 0 = 3*h, -2*h + 8 = 4*s. Let i be (h\/4)\/((-2)\/4). What are the prime factors of (-3)\/(i + (-56)\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287359*i - 288285*i = 93526 for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**5 - 250*t**4 - 12546*t**3 - 194852*t**2 - 500453*t - 317898 = 0. Calculate t.\nAnswer: -189, -29, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 129319?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78531 divided by -23.\nAnswer: -78531\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 - 2167*q - 10834. Calculate p(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of o**6\/30 - o**5\/10 - 65*o**4\/4 + 196*o**3\/3 - 98*o**2 - 1659*o. Factor t(z).\nAnswer: (z - 14)*(z - 1)**2*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 1 = 13. Let y(q) = -3*q**3 - 18*q**2 - 3*q + 4. What are the prime factors of y(b)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 20*o + 5*o + 3*o. Suppose 2*x = 31 - 13. Let f(s) = -11 + 2 + x - s. Determine d(f(z)).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*u**2 + 591*u**2 + 97*u**2 + 543*u**2.\nAnswer: 947*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/(-6))\/((-3)\/(-9)). Let n(s) = -3*s**3 - 7*s**2 - 6*s - 7. Is n(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20310 and 147570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + -4 + 8 + -2. What is the closest to -0.4 in 1\/7, q, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -285017639 from 0.4047.\nAnswer: 285017639.4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19889228?\nAnswer: 2, 31, 160397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence veee when four letters picked without replacement from {e: 13, d: 3, v: 4}?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1656624 and 5040?\nAnswer: 173945520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -18. Let x = w - 15. What is the second biggest value in -0.2, 2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/b**(-3))*b)**(-35))**(1\/10) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211307 is divided by 52821.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99 = 3*j + 6*j. Suppose -j*n - 16*n + 4617 = 0. Calculate the greatest common divisor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(-6)*v))**(3\/20)*v**(-10)*v*v**(-2\/11))**12 assuming v is positive.\nAnswer: v**(-6753\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 10*y**2 - 3*y + 1. Let l be (4\/(-14))\/((-4)\/28). Suppose 0*c + l = c. What is the units digit of x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 86*b**2 + 3 - 643*b**5 - 755*b**2 - 3 - 224*b**2 wrt b?\nAnswer: -38580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/7  (b) 2\/5  (c) 3  (d) 14  (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 145*k - 1 + 7*k**3 - 145*k - 2*k**2 to i*k + d + w*k**2 + v*k**3 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttllvvllattlalltt. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-14)*10*84*(-20)\/(-800)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 152253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-6) + (-176)\/24. Let j be (13 + -2)*(-6 - k). What is the greatest common divisor of j and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197a (base 12) in base 2?\nAnswer: 110000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(300)\/sqrt(4)) - sqrt(52)\/(-2*sqrt(100) - sqrt(100)).\nAnswer: 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7107, 6909, 6603, 6207, 5739, 5217, 4659, 4083?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + -9 + (-3)\/1. Let j be s\/(-25) + 7\/5. Suppose -3*d - g + 313 = -2*g, -g - 207 = -j*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by -7461942.\nAnswer: 17\/7461942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.12, 3\/1531, -2\/13?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -73*g - 1845. Give k(-25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 517253, 517212, 517145, 517052, 516933, 516788?\n\"Answer: -13*f**2 - 2*f + 517268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 117*g**2 - 186*g + 8156. Determine a(116).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2839 - -28641. What is k rounded to the nearest one hundred?\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i + 27. Let m be o(0). Which is greater: m or 26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -6 - -6 - 6) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q**5\/5 - 688*q**4\/5 + 32852*q**3\/5 - 283304*q**2\/5 + 860544*q\/5 - 839808\/5 = 0.\nAnswer: 2, 4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 191*l**3*r + l**2*r - 143*l*r wrt l?\nAnswer: 1146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13434026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3104640 and 388080.\nAnswer: 3104640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -61, 68, 273, 554, 911, 1344, 1853?\n\"Answer: 38*c**2 + 15*c - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 21) + -2 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, w: 2, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -x**8\/112 - 2*x**5\/15 + 2*x**2 + 3. Let b(k) be the second derivative of c(k). Find the third derivative of b(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 46*d**2 + 47*d + 100. Let i be v(-45). Suppose -751*l + i*l**2 + 751*l - 35*l**3 + 25*l**4 = 0. Calculate l.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14812)\/(-483)*-3*4\/8.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = v + 30296, 0 = -j - 4*j - 3*v + 50484. Suppose i - 4*i + j = 0. Let o = -2257 + i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2\/(-20) + 568\/(-1420)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5090161ug to kilograms.\nAnswer: 0.0000000005090161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 2393*i + 83. Let z(v) = -v**2 - 2393*v - 74. Determine -8*f(w) - 9*z(w).\nAnswer: w**2 + 2393*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.194 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 1 + 3 = 2*k, 4*b = -16. Solve 2 + k = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9 - 104\/8) + 6. Suppose -s*d - 2052 = -4*b - b, 2*b - 816 = -4*d. What are the prime factors of b?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 467748 divided by 133.\nAnswer: 467748\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 331101729.\nAnswer: 3, 7, 29, 193, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 677891997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/5, 2, 1\/3, 2\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 + 5*z + 10. Let t be o(-8). Let k = 166 - t. Solve -5*b + v = 5, -k*b + 0 = -4*v - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/17  (b) 3144  (c) -2\/205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9249\/40 - 249199\/40. Let r = z + 80453\/12. Let l = r - 694. Calculate the common denominator of l and 64\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from {m: 2, z: 7, k: 2, y: 8}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*f + 34995 - 774171 = 664968. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 3*y + 0*y)*(-2111 + 18*y**3 + 2111).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16530 + 16551. Calculate the remainder when 803 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3402*n**2 - 1866*n - 13. Let w(t) = -3396*t**2 - 1865*t - 11. Let c(y) = -6*w(y) + 5*x(y). What is the second derivative of c(f) wrt f?\nAnswer: 6732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70498167 and 8293902?\nAnswer: 140996334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.036  (b) -2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -242 (base 8) in base 6?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1412 + 1391. Let b = -138.01 + 137. Let g = b - -0.01. Is g bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 538*k**2 + 9*k. Let j(d) = -1077*d**2 - 20*d. Give 2*j(r) + 5*t(r).\nAnswer: 536*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16080916 and 3656?\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p - 3166. Let i(k) = 2*k**2. Calculate x(i(v)).\nAnswer: 4*v**2 - 3166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j + 4. Let h be q(0). Differentiate -3 + 2*f**3 - 2*f**3 + 0*f**4 - 2*f**h wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 73 and 3819.\nAnswer: 278787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - p**2 + 2*p + 103. Suppose -14*n = -12*n - 2. Let l be (0*3\/(-12))\/n. What is the units digit of r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 13*f - 302. Let p(o) = 19*o - 448. Give -8*a(l) + 5*p(l).\nAnswer: -9*l + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, i: 3, k: 8}. Give prob of picking 1 i and 2 w.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) -0.4  (c) 0.5  (d) 29\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -18\/893  (c) -1\/2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q - 7*q = -4*m + 122, -3*q - 4*m = -4*q - 126 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15289 - 9032. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvxvvxv.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -9 - 16 + 4*u + 16 - 16. Let x be p(10). Find the third derivative of -7*a**5 + 2*a**2 + a**5 + x*a**5 wrt a.\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z + 42. Let s be g(10). Let m(c) = -c + 0*c**2 + 1 - 3 + c**s - 2. Let q be m(-6). What is the greatest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199*a**3 - 106*a**3 - 106*a**3.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -9*c. Let a(b) = -25*b**2 - 91*b - 2. Let q(m) = -109*m**2 - 363*m - 9. Let w(y) = 9*a(y) - 2*q(y). Calculate w(p(t)).\nAnswer: -567*t**2 + 837*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 116909.91 months to decades.\nAnswer: 974.24925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - -1)*(-2 + 3). Suppose t = 17*v - 22*v + 15. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = w - 2*y, -w - 11*y + 2 = -12*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+4746213575.29\nAnswer: 4746213575.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(320) + sqrt(20)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 68, -2\/5, -10\/7?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -40*u + 77. What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 241693320 divided by -10.\nAnswer: -24169332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 660 + 460 = 0. What is the common denominator of 4\/14 + (-2125)\/v and 109\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, 1\/6, -17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -5*j**2 + 12*j - 8. Let u(g) = -10*g**2 + g + 18*g**2 - 9*g**2. Suppose 0 = -2*z + 2*k - 12, -z + 2 + 2 = k. Let q(r) = z*f(r) + 4*u(r). Give q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/2*2*5. What is the remainder when (-1 + -2)\/(-3)*n is divided by (-1 + -9)*(-20)\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/17)*x*x\/(x\/x**20))\/(x**(-1))**(15\/2) assuming x is positive.\nAnswer: x**(973\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, -2\/5, 0.4, -2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -10, -58, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 842 + 840 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*a + 9*a. Is a less than 30\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 6, -1, 2947, 2\/17, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 234 or 3986?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 645658 + -222905. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -47 + -1584464\nAnswer: -1584511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2775 and 9231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 + (-20 + 29)\/(2 + -1) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 79839 = -72*i + 68*i, -i + 19956 = 5*g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3297, -1, 3, 5, 4, -4, 11 in descending order.\nAnswer: 3297, 11, 5, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/3 - (-5261675)\/402180. Let a = r + 3\/6703. Let t = -2461\/3150 + -1\/225. Calculate the common denominator of t and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -388*f - 8 + 127*f + 119*f + 58 + 134*f as d*f + y and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 2*c + 18 - 37)*(-2806 + 2806 - 73*c).\nAnswer: 146*c**2 + 657*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*y + 163*y = 4*w - 144, 0 = -5*w - 2*y + 180. Calculate the highest common divisor of w and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0541 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*m - 2*m + 0*m)*(m**3 - 19*m + 1 + 19*m) as i + b*m**2 + c*m**4 + j*m**3 + n*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 348.5175 - 0.7975. Let q = 348 - u. Is 0.1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + -1*(sqrt(7)*-1 - sqrt(7))) + 2.\nAnswer: sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, a: 11, h: 4, x: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.0101 * 0.1\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 - 2.5. Let g = k + 1. Let u = 0.4 + -0.3. What is the closest to u in g, -3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6703?  (a) 16\/9  (b) 0.1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 94*a - 93*a - 31. Let x = -32 + a. Put 0, x, -2 in descending order.\nAnswer: 0, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.09 + -0.02. Let k be 5 - (-3 - (-5 + 1)). Put k, -0.2, y in ascending order.\nAnswer: -0.2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 2:48 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from uegezfv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**3 - f**3 + 0*f**3 + (1 - 1 + 2*f**2)*(-f + 1 - 1) + 2*f**3 + 4*f**3 - 4*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -35*z + 34*z. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16620 + 2331141743.\nAnswer: 2331125123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 319010\/18 - (8288\/288 - 29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-4))\/(1\/2). Suppose n*s - 2*y - 38 = 40, 2*y = 4*s - 106. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-132)\/405 + (-4)\/(-10). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 763286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 4*s + 100, 3*w - 2*s = 7*w - 212. What is the greatest common factor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10260 by -20.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3462\/365 + -3396899\/359160. Calculate the common denominator of 64\/15 and u.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -31*g**2 - 23*g - 39. Let d(y) = 47*y**2 + 35*y + 61. What is -5*d(c) - 8*s(c)?\nAnswer: 13*c**2 + 9*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -4356950.\nAnswer: 1\/2178475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-3\/5)*j\/(j\/(j\/(j**(-2\/11)*j))*j))\/((j*j\/(j*j**(-4)))\/(j**(-1\/4)*j)))\/(((j**(-2\/21)*j)\/j)\/(j*j*(j**(1\/4)\/j)\/j))**(6\/7) assuming j is positive.\nAnswer: j**(-57913\/10780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 62*t**2 - 6*t**5 - 62*t**2 + (2*t**4 + t**4 - t**4)*(-2 + 2 + 2*t) - 2*t**5 + 13*t**4 - 665*t**3 + 665*t**3.\nAnswer: -4*t**5 + 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 8*a - 12. Let p be w(10). Suppose p*c = 2*c. Suppose -2*m = -5*f - 216, m + 3*f + c*f = 97. What are the prime factors of m?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.26 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 748404 is divided by 1219.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of p**5\/30 + p**2. Let o(f) = -3484*f + 10401*f - 3492*f - 3486*f. What is o(a(t))?\nAnswer: -122*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -122*o - 202. Let d(h) = 6*h**3 - 5*h**2 + 4*h. Let c(t) = 5*t**3 - 4*t**2 + 4*t. What is o*d(u) + 3*c(u)?\nAnswer: 3*u**3 - 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -3 - (-14 - (-25 + 10) - 8 - -22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28099228 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 - 4*p**2 - 3*p**2)*(3 - 1 - 4) - p**2 + 0*p**2 + p - 3*p + (183*p**2 + 3502 - 3502)*(-2 + 0 + 1).\nAnswer: -168*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - (3 - 2) - -5) + 1 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, s: 1, x: 2, w: 1, t: 1}. What is prob of sequence sx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588123 is divided by 462.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16415 is divided by 446?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 250660.924 to the nearest 10.\nAnswer: 250660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 54\/5 of a hour?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-150))\/((-2)\/(1*10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 565\/22 + -306\/11. Let k = -287 + 545. Let a = -2047\/8 + k. What is the common denominator of d and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*p + 92, 2*p + 3*q - q + 32 = 0. Let b = 39 + p. Solve 5*u - b = 3*x, 3*x + x + 23 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - g = 0. Suppose 4*j + 0*j - 12 = g. Suppose -j*p + p = 2. Which is the third biggest value?  (a) p  (b) 3\/4  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -j - j, 0 = -5*v + 2*j + 56624683. Let i(f) = 775014*f - 7. Let h be i(5). Suppose h + v = -t. What is t rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 - 2)*(-7*b - 3*b + 2*b)*(1 - 1 + 3*b**2).\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 4*u - 6, 2*v + u = 3*u - 18. Let f = 9 + v. What is the second derivative of -7*s**3 + 16*s**3 - 11*s - 27*s**3 + f*s wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -420921 - 1?\nAnswer: -420922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3006299 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/9 + 6134*m\/3 - 170184.\nAnswer: -2*(m - 9117)*(m - 84)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 100 = -5*k, 2*z = -2*k - 1 + 49. Calculate the greatest common factor of 44 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -6*g. Let q be l(-2). Suppose -3*j - q = 33. Let h be 3\/j - 2\/(-10). Is h != 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 101071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 6*d + 26. Let a = d + 41. Solve -b = 2*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28\/65 + -3\/13. Let a be 2*(2 + 2)\/8. Let d be 60\/(-45)*(-2 + 5). What is the second smallest value in z, a, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2938 = -b - 25*b. Suppose -27 = 43*o - b. Solve -2*n = -4*n - 4*d, o*n - 5 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5 = -11. Suppose -p - 6 = 2*j, p = -4*j + 3*p + m. List the prime factors of j\/((-141)\/69 - -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.61 * -37109.91\nAnswer: 22637.0451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*h = 350*h + 159*h - 5838 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**2 - 75*u + 241. What is the smallest common multiple of z(24) and 7?\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 2 + (-3)\/6*-4. Suppose 5*l - 13 = -4*y, l - 1 = -2*y + c*l. Solve 3*n - 2*g + 12 = -g, 3*g = y*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjdjddd. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 333?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 301022 (base 4) in base 6?\nAnswer: 22322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t**3 - 4*t**2 - 3*t - 1. Let z be l(-2). What is the highest common divisor of z and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5931 rounded to 3 dps?\nAnswer: 0.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - 75 + 75 - 34*q**3 as p + a*q**2 + f*q + b*q**3 and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3424253 (base 7) to base 2\nAnswer: 1101000000111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14717*o - 899*o + 60751*o.\nAnswer: 74569*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - x**2 + x - 1. Let s(l) = l**3 - 9*l**2 + 12*l + 37. Let m(w) = -2*i(w) - s(w). List the prime factors of m(-11).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + ((-2*sqrt(891) + 0)*5)**2).\nAnswer: 356420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1126400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.2346598 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(44) + -5.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fxaxrrfgxxarffxxxr. Give prob of sequence rrag.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*l + 4*l + 42 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16847, 17133, 17729, 18635, 19851, 21377?\nAnswer: 23213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 2*g - 58. Let l = g - 26. Suppose l*i - 4 = -i. Which is smaller: i or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-475)\/(-6) - (-3)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*d = -4*d + 3, -2*a - 3*d + 10 = 0. Let q = a - -6. Do 3 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + 72\/(-33) - 620\/(-2926). Let l = u + -3119\/1995. What is the common denominator of -3*1 - (-423)\/297 and l?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 933 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 11. Let f be v(6). Let o(c) be the first derivative of -1\/2*c**2 - 1\/2*c**5 + 0*c - f - 3\/2*c**3 - 3\/2*c**4. Find a such that o(a) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31.861 - -32. Let w = 81.139 - p. Let o = 81.00000059 - w. What is o rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**2*r - 6*f*r**2 - 10*f*r - 5*r**2 - 18 wrt f?\nAnswer: 4*f*r - 6*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -1668*f**5 + 791764*f**4 - 96542392*f**3 + 608043504*f**2 + 227728800*f - 147184128 = 0?\nAnswer: -2\/3, 48\/139, 7, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*y + 60*y = -3024 + 1022 - 1466 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 531, 1006, 2155, 4314, 7819, 13006, 20211, 29770?\nAnswer: 42019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 343\/3, 18, 0.4, 1.18 in increasing order.\nAnswer: -2, 0.4, 1, 1.18, 18, 343\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.109 + 0.017. Let o = -18.092 - r. Let u = 1\/46 - -131\/322. Which is the third biggest value?  (a) o  (b) u  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 8*c = -5*m + 74, 391 = 4*c + m. Is (11\/(c\/(-52614)))\/(-2*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6590)\/1318 + (1\/2)\/((-2)\/(-180))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 199149*u. Let i(b) = -827*b. Give z(i(c)).\nAnswer: -164696223*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 10*b**2 - 14*b - 11. Let u be l(-10). Suppose 17*t - u = 41. Calculate the smallest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x - 2*x)*(0*x**2 - 2*x**4 + 0*x**2) - 87*x**3 - 531*x**5 - 10*x**3 + 533*x**5.\nAnswer: 4*x**5 - 97*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 725.0338l?\nAnswer: 725033.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5*30403687\nAnswer: -152018435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 958890 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 255.324 - 263. Let z = x - -7.3. Let r = z - -0.376804. What is r rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m - 6818*m**2 + 13633*m**2 + 1 - 6816*m**2. Let t(q) = 2*q**2 + 3*q + 3. Calculate 3*l(s) - t(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*r**3 + 4*r**2 - 21*r**3 - 4*r**2.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 34*z. Let b(d) be the second derivative of d**6\/90 - 59*d**3\/6 + 65*d - 1. Let g(t) be the second derivative of b(t). What is r(g(x))?\nAnswer: 136*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -6. Let u = 1 - 1. Solve 3*q - x = 4*c, -q + u*c + 3 = -c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1600 - 189. Let f = -779 + a. What are the prime factors of f?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10743, 10742, 10729, 10698, 10643, 10558, 10437, 10274?\n\"Answer: -p**3 + 6*p + 10738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 2*z**2 - 2. Let t be s(2). What is the units digit of 380\/7 - t\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -343c53 (base 15) to base 7.\nAnswer: -30123522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l - 1. Let k(m) = -8*m**2 + 2*m + 1. Let w(r) = k(r) - 5*x(r). Let a(h) = 15*h**2 - 13*h - 11. Determine 6*a(j) + 11*w(j).\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10868 and 9614.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -432*g. Let c be x(0). Solve c = -2*i - r + 2, -10*i + 6*i + 2*r = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -3\/11, 3 in descending order.\nAnswer: 3, 0.5, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -a**4\/12 - 7*a**3\/6 + 3*a**2\/2 + 1079*a. Suppose 5*r - 50 = 5. Let y(h) = -h**2 + 10*h + 3. Let g be y(r). Calculate p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 10*l - 38 = -2*a, -17 = 3*l - 2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*x - 4. Let f = -3 + x. Let v(r) = 7*r. Let o(z) = 4*z. What is f*o(l) + 3*v(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**4\/7 + 228*a**3 + 625568*a**2\/7 = 0.\nAnswer: -904, -692, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 67973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4170980.\nAnswer: 2, 5, 11, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 7*j - 5. Let a be t(-5). Suppose 0 = s + 3*c - 8 - 10, -3*c + 42 = a*s. Suppose 170 = -4*z + s*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -1. Suppose -1 - 7 = 2*j. Put j, 5, n in ascending order.\nAnswer: j, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -20068*z**2 + 377*z + 870. Let o(r) = 1115*r**2 - 21*r - 48. Let y(v) = -8*j(v) - 145*o(v). Find the second derivative of y(w) wrt w.\nAnswer: -2262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 6*b + 19668. Give h(-132).\nAnswer: 3036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 0.18, 3 in increasing order.\nAnswer: -1\/6, 0.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 76, 375, 880, 1597, 2532, 3691, 5080, 6705?\n\"Answer: c**3 + 97*c**2 + c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9dc - -ca3?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -43*h**3 + 69*h**3 + 15*h + 2 - 5*h**2 - 13*h. Let o be x(1). Solve 0 = 5*j + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, v: 2}. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o + 11*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 43.07, 4, 1, -1, -0.3 in ascending order.\nAnswer: -4, -1, -0.3, 1, 4, 43.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1492*g**3 - 13*g**2 + 103*g + 115. Calculate c(-1).\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of -7*m**5\/60 + 8*m**2. Let x(s) be the third derivative of -s**5\/6 - 6*s**2 + 4*s. Give -8*r(d) + 5*x(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*d**4\/2 + 22416*d**3 + 3040*d**2 = 0. Calculate d.\nAnswer: -8\/59, 0, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10536 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84043 is divided by 1586?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1468 = -11*t + 10*t - i, 3*t - 2*i - 4389 = 0. What are the prime factors of t?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 71, 139, 205, 269, 331, 391, 449?\n\"Answer: -s**2 + 71*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43 - 38. Suppose -14 = o*x - s - 4, 0 = 2*x + 3*s + 4. Find the common denominator of 63\/2 and (-53)\/(-6) - (-3 - x)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = t - 0*t. Let g = 115 + t. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -11d0?\nAnswer: 11d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 765876.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**2\/8 - 3495*s\/8 + 1749\/4 = 0. Calculate s.\nAnswer: -1166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002649292 rounded to six decimal places?\nAnswer: -0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n - 5*n**2 + 3*n**2 - 8 + 6. What is q(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5757 = -0*k + 3*k. Suppose -518 = 3*n - k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75\/2 - 332\/9. What is the common denominator of -103\/14 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -278807404 by 4.\nAnswer: -69701851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2114277 (base 10) to base 6\nAnswer: 113152153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + m + m)*(3*m**3 + 2*m**4 - 3*m**3) + 8*m**2 - 111*m**3 - 38*m**5 + 109*m**3 - 2*m**5 - 14*m**5 - 2 + 4 - 3.\nAnswer: -52*m**5 - 2*m**3 + 8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 12:35 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*n. Let f(p) = -p**2 - p - 10. What is f(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 456\/192 - (-5)\/40. Let b = -0.2 + 0.4. What is the nearest to 1 in b, 2, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.24 in 1, -0.0332, 16?\nAnswer: -0.0332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 16697164 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23232 + 11?\nAnswer: -23221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 6:54 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145553755.\nAnswer: 5, 29, 1003819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -8*i**3 + 4*i**2 + 9*i. Let s(l) be the first derivative of 15*l**4\/4 - 7*l**3\/3 - 17*l**2\/2 + 149. What is 11*b(m) + 6*s(m)?\nAnswer: 2*m**3 + 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103, -415, -935, -1663, -2599, -3743, -5095?\nAnswer: -6655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12669653107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -1366291467.\nAnswer: -1366291465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.92 - 13.9. Let n = y - 0.02. Which is the second smallest value?  (a) n  (b) 1\/2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1768.1 * 0.199.\nAnswer: 351.8519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 139, -6 in decreasing order.\nAnswer: 139, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -126 + 144. What is the third derivative of -25*u**3 + 6*u**3 + t*u**2 - 29*u**3 wrt u?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 13 = -2*l, 0 = l + 5*p - 9. Suppose 7 - 23 = -l*u. Differentiate 102*z**u - 2 - 108*z**4 - 10 wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1029521?\nAnswer: 1029521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, m: 1}. What is prob of sequence rm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssyssssyyssss. What is prob of sequence sy?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (22 - 3 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 334395.3131 - 334198.3. Let p = -197 + d. What is p rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 450.1117nm to millimeters.\nAnswer: 0.0004501117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5356896 - -19?\nAnswer: 5356904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.00576973 and 27.\nAnswer: 26.99423027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-15)\/(-50))\/((-48)\/80))\/(25\/15).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 9 = 5*v - 2*v, 4*j - 17 = 5*v. Solve 0*d + 4*r = j*d, -d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(2\/27)*w)*w*w*w*w**(-5))\/(w*w**(3\/5)*w*w**5) assuming w is positive.\nAnswer: w**(-1306\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-14)\/(-21)*(4 + -1). Suppose -32 = -j*b + 14. Suppose 414 = -6*i + 8*i. What is the highest common divisor of i and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -31*i. Let t(x) = 62*x + 1. Let b(d) = -3*t(d) - 5*z(d). Let y be b(-1). Suppose -y = -3*k - k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6383 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 654793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {n: 15, a: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -db125 (base 15) to base 12.\nAnswer: -2965b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) -71  (c) 0  (d) 4  (e) 9.8456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1717 (base 12) to base 7\nAnswer: -11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*c - 4*u + 17 = -34*c, 3*u = 2*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6*l + 2. Let g be a(-1). Let o be (-154)\/4 - 4\/(g + -4). Let p = o + 38. Which is smaller: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 316714857*j + 468583201.\nAnswer: 316714857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1531 - 20*r**3 - 1531.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c8 (base 13) to base 11.\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/sqrt(512).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*w + 7094 + 8085 = 77*w - 1338 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 185*g**4 - 2*g**3 + 476*g?\nAnswer: 2220*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1407*b**3*s**2 + b**3 - 870*b**2*s + 1 wrt s.\nAnswer: 2814*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {y: 4, r: 5, h: 2, e: 1, z: 2}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -7 - ((8 - 6) + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 3*p + 4. Let o be w(-5). Suppose 2*n = -2*v + o, -v + 38 = -3*n - 54. Let m = 16 + -5. Calculate the highest common factor of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, d: 2, u: 5, i: 1, o: 3, m: 7}. What is prob of sequence ouq?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + -9 + (-1 - -2). Let k(p) = -2*p**2 - 30*p - 91. Let d be k(-11). Calculate the lowest common multiple of 9 and 330\/18 - d\/z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -95165 and -95165 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1710 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-103 + 26 - 52)*(-s + 4*s - s)*(-3 - s + 3).\nAnswer: 258*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + 1)*-2*1)**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**9\/252 - 11*k**8\/48 + k**5\/30 - 19*k**3\/6 - 5*k**2. Find the third derivative of v(b) wrt b.\nAnswer: 240*b**3 - 4620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -0*p + v + 9, -p + v + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 332 divide 1538820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -1634*p**5\/5 - 367*p**3\/6 - 15*p**2\/2 - 111*p - 13. What is the second derivative of z(y) wrt y?\nAnswer: -39216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-4\/5)*v*v\/(v*v*v**45) assuming v is positive.\nAnswer: v**(-229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -627158*n + 7525897. Give k(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -k + 2*b - 8, -3*b - 10 = -5*k. Suppose -l = -2*w - k, 9*w - 8*w = 4*l - 22. Solve 4*v + 4 = -g - 0, -2*g = v - l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -k + 12. Let y = 1 + -1.5. Let v = 0.32 - -0.08. Which is the nearest to k?  (a) v  (b) y  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by (-51*6\/(-18))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25696 * -8\nAnswer: 205568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/4 + 311*v\/8 + 155\/8.\nAnswer: (v + 155)*(2*v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1001800 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9445256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 115459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*r = 51572 + 27342. Suppose 6*q = 19007 - r. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -8\/7*u**2 - 2\/7*u**3 + 1\/7*u**4 + 75 + 2\/35*u**5 - 8\/7*u. Factor n(f).\nAnswer: 2*(f - 2)*(f + 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -z**8\/1680 + 23*z**7\/1050 - 11*z**6\/300 + 594*z**2 + 1. Solve q(b) = 0 for b.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-36)))\/t**30*(t**(-45))**(-6) assuming t is positive.\nAnswer: t**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38124 by 2118.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -93. Let t = w + 43. Let p = t + 27.0000033. Round p to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14303 is divided by 14266?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 4*s - 3384, -5*j + 3*s - 4*s = -4260. Suppose 222 = -3*x - 5*k + 1518, 0 = -2*x + k + j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -164*g + 942. Determine d(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 486038677, 486038676, 486038675, 486038674?\nAnswer: 486038673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -57 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*a - 15, 17*i - 15 = 14*i - 3*a. Let f(z) be the first derivative of -29 + 27*z + i*z**2 - 5\/3*z**3. What is the derivative of f(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -839*i + 673*i + 830 = 0. Suppose -5*l = -2*l - 12. Solve 0 = l*v + i*c + 11, -5*v + 3*c = -2*c - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17941 is divided by 133?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2547 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29283450 is divided by 261459.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1206*x**3 - 631*x**3 - 608*x**3.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1550 + -125?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42.982 + -0.018. Let g = -64 - d. Which is greater: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 7*a**2 - 20*a - 13. Let d be o(-9). Find the third derivative of 2*i**2 + 257*i**d - 19*i**6 - 257*i**5 wrt i.\nAnswer: -2280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -40*f**2 - 3*f. Let j(s) = -41*s**2 - 2*s. Let r(o) = 3*j(o) - 2*q(o). Let l(x) = -4*x**2. What is r(l(b))?\nAnswer: -688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 91788.9307256+0.81\nAnswer: 91789.7407256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 109, 447, 1017, 1825, 2877, 4179?\n\"Answer: t**3 + 110*t**2 + t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -86 - -194. Suppose -3*c - 4*b = -r, -2*b + 3*b = c - 36. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31790 + 31792. Is s <= 101\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(126)\/sqrt(3))\/(sqrt(432) - (sqrt(432) + sqrt(432)*-2)))\/((2*(sqrt(84) - (sqrt(84) + sqrt(84)*-1 + sqrt(84))) - sqrt(84))\/(3*sqrt(108))).\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -2, 2\/29, 2.822 in descending order.\nAnswer: 2.822, 2\/29, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (2 + -9) - (-4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 2 + 3)*(62 - 11 + 32)*(962*o**2 + 9*o**4 - 4*o**4 - 959*o**2 - 3).\nAnswer: -2490*o**4 - 1494*o**2 + 1494","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwgkwwccggghgcw. What is prob of sequence gcgw?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4241\/24 + -1127\/6. Calculate the common denominator of 4\/1 + (-404)\/16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 160 = -4*t + 2*t, 0 = 4*t + 3*l - 334. Suppose 262 - t = 3*p. Let a = 104 - p. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1383635657 to the power of 1\/2, to the nearest integer?\nAnswer: 37197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of t**4\/4 + t**2\/2 + 6*t - 32. Let k be v(0). Solve 3*r + k = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 5\/11  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -139, -274, -409?\n\"Answer: -135*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2258 - 51?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 79109 and -0.3.\nAnswer: 79108.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 62*h + 248. Determine k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 854 + -4744. Is g\/(-15) - 1\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1)\/r)**(-47)\/((r\/r**(-15\/8))\/r*r*r*r**13) assuming r is positive.\nAnswer: r**(617\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 0*h**6 + 0*h + 1\/4*h**4 + 0*h**7 + 0 + 11\/168*h**8 - 16*h**2 + 0*h**3 + 0*h**5. What is the second derivative of v(l) wrt l?\nAnswer: 440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 59.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, e: 1, v: 1, a: 2, q: 8}. Give prob of sequence qm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.221 - -2.032\nAnswer: 2.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -13. Suppose 3*k + m*g - 16 = g, -3*k + 5*g = 4. Suppose 4*z - 3*f = 33, 237*z - 238*z = 4*f + 25. Solve -z*o - 5 = 5*a, 3*o - a = k*o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 162 + 206 = 0. Calculate the least common multiple of k and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, x: 2, v: 1, q: 2}. Give prob of picking 1 k, 1 v, and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2457124701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20\/17 - 294\/221. Which is the closest to 1?  (a) l  (b) -0.11  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8360 divided by 8360\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o - 20. Let d = -59 - -53. Let b be 117\/(-6) - d\/(-12). Let c(z) = -1. Give b*c(s) + g(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 68*p**2 + 69*p + 246. Calculate the remainder when m(69) is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4864640 by -80.\nAnswer: -60808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**2 + 24 - 14 - 12*q**3 - 5 to g*q**2 + d + v*q**3 + n*q and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1258 + 603 = -197*s + 724. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(170)\/((sqrt(30)\/sqrt(3) - sqrt(10))*4 + sqrt(10)) + 4 + (sqrt(1088) + 1 - sqrt(1088)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18924 or -18823?\nAnswer: -18924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p + 2. Let s(t) = 19*t**2 - 39*t + 1. Let a be s(2). Let q be (-2 - a)*(-6)\/(-8 - -6). Let k(c) = c + 4. What is q*k(z) + 5*b(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-54 - -46) + (5 - (0 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 451933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -40 + 40.000124. What is i rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(186\/499) - (339 + (-233700)\/684)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2088\/(-54)*(9\/(-2))\/3. Is 60 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 520 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -7*y**2 - 11*y + 5. Let v(i) = 3*i**2 + 6*i - 3. Let s(q) = -3*u(q) - 5*v(q). What is the second derivative of s(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -482561762, -482561764, -482561766?\n\"Answer: -2*y - 482561760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 - 4*r + 11)*(-5*r + r - 3*r) to the form g + y*r**2 + b*r and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 50. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4283*z - 8900*z + 1216969 - 83231 = 0 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*u**3 + 1153*u**2 + 1924?\nAnswer: 6*u**2 + 2306*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 875535565*m**2 - 270734686*m.\nAnswer: 1751071130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -90.7 - -79.7. Which is the second smallest value?  (a) 1  (b) 2  (c) s  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4254 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 22*g**2 - 44*g. Let k(j) = -j**2 - j + 1. Let a(c) = -f(c) + 6*k(c). Calculate the remainder when 122 is divided by a(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1398, -9857, -32814, -77517, -151214, -261153, -414582, -618749?\n\"Answer: -1208*m**3 - m**2 - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43 + -39. Solve -z*j = -3*a + 32, 0 = j + 2*a + a - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 1\/3  (c) 1  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 557257 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 6)*(161\/14 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4 = i, -2*i + 10 = 3*g - 5*g. Let q be (5 + -6)\/(3\/(-99)). Suppose -3*a + q = -i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/137, -0.2, 12\/23 in ascending order.\nAnswer: -0.2, -2\/137, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j**2 + 4*j - 6. Let h(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 - i - 8. Let z(o) = 2*h(o) - n(o). Factor z(r).\nAnswer: 2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 57*g + 3 - 42*g + 46*g. List the prime factors of x(4).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of j**4\/2 - j**3 - j**2\/2 + 4*j + 23. Suppose 4*p = -4*v + 4, 2*v - p - 11 = -3. What is the tens digit of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0, -1\/4, 764, -158, 0.2.\nAnswer: -158, -1\/4, 0, 0.2, 2\/5, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + 16*k + 8*k - 13*k - 10*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, g: 3, u: 2}. What is prob of picking 1 q and 1 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3976777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkokzcosscsozkosssss. What is prob of picking 2 k, 1 c, and 1 z?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563031644.\nAnswer: 2, 7, 719, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 155285272 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5287171, -10574348, -15861525, -21148702, -26435879?\nAnswer: -31723056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-12))\/(-1*3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1512 is divided by 1483.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + m + m)*(-13*m**3 - 6*m**3 + 6*m**3) to c*m**4 + l*m**2 + j + f*m**3 + u*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -3*n**2\/2 + 725301*n\/2 - 725295 = 0.\nAnswer: 2, 241765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxovvnxnuowvoxx. Give prob of sequence xo.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -357.62 - -296.48. Which is bigger: a or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 + 13*q + 35. Let y be l(15). What is the highest common divisor of y and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.5 + 2.8. Which is the biggest value?  (a) o  (b) -5  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2394 - 2393. What is the nearest to -1 in -9, 0.3, j, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -9  (b) 3  (c) 1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7221.011 milligrams to grams.\nAnswer: 7.221011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (49 - -1)*(-342)\/(-12). Suppose 1425 = 6*x - s. Suppose x = -4*r + 1271. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*o**4 + 59*o**3 + 23*o**4 + 3*o**3 - 71*o**4 + 24*o**4 - 726*o**2 wrt o?\nAnswer: 24*o + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 440 (base 8) in base 11?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/742*-4)\/(13776\/(-32144)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -114, 5\/13, -7, 2\/5, -64.\nAnswer: -114, -64, -7, 5\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in -11\/3, 28, 102, 3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((5*(-3 + (sqrt(76) - (2 + sqrt(76)))) - ((-1 + sqrt(76))*-1 + sqrt(76) - (sqrt(76) + 2 + 1)))*4)**2.\nAnswer: -1472*sqrt(19) + 9678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1007 divided by -5\nAnswer: 1007\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4200.2 + -3650.85.\nAnswer: -7851.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1776*v**3 - 1109 + 1779*v**3 + 352*v**2 + 1109.\nAnswer: 3*v**3 + 352*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1419677.\nAnswer: 7, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2693.527 and 2.1?\nAnswer: -5656.4067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(80\/(-90))*-2. Solve -j = 5*f - i*f + 21, -2*j = -3*f + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 + 0.2. Let i be ((-9)\/(-6))\/(4\/8). Suppose 7 = 4*x - 4*d - 5, i*x + d + 11 = 0. Put a, 4, x in increasing order.\nAnswer: x, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -543 greater than -548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - aacc4?\nAnswer: -aacc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a - a**4 - a**4 - 42 - 16 - 3 + 3*a**2 to z*a**3 + d*a**2 + l + f*a**4 + n*a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/67, -2\/7, 1\/30, 0, 1880 in ascending order.\nAnswer: -2\/7, 0, 1\/30, 3\/67, 1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.100686273 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -8. Let j be (2 + (-5)\/4)*(17 + s). Solve 0*o - o = -3*r + 8, 3*o + j = -3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -30736*z**5 - 10*z**4 + 3210*z**3 + 23*z**4 + 30 + 4576*z**2 + 13*z**4 - 761*z + 30567*z**5 = 0.\nAnswer: -3, -2, 1\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 425625 and 681.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**5 + 20*l**4 + 7*l**3 + 14*l**2 + 8. Let s(v) = v**5 + 7*v**4 + 2*v**3 + 5*v**2 + 3. Let y(b) = 3*h(b) - 8*s(b). Let y(g) = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 94887 and 94891 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1995\/(-532)*8\/6. Sort -2, q, 48, -4 in decreasing order.\nAnswer: 48, -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (850\/4)\/(-5)*27\/270?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2019, 3911, 5803, 7695, 9587, 11479?\n\"Answer: 1892*u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 599795 (base 11) in base 3?\nAnswer: 1210021002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 6877986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12025350037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*i**3 - 13*i**3 + i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.233 - 9633.\nAnswer: -9632.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = b - 3*v, -2*b + 7 = -b - 2*v. Let k be (b - -2)\/(2\/10). Solve k*n = -2*z - 18, -2 + 0 = 3*z - 5*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.6124109 hours?\nAnswer: 2204679.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 168 = 4*n, -s = -9*n + 4*n + 50. Let r be ((-2)\/(-5))\/((-36)\/s). Let b(q) = q + 4. Let o be b(-4). Put 2\/5, r, o in increasing order.\nAnswer: o, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-54)\/(-144)*(-5386)\/(-3). Let n = w - 650. Calculate the common denominator of 43 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 1:18 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2*b, -2*g - 2 + 6 = -3*b. What is the tens digit of 24\/(-7)*(g - 1086\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(8 - 10)\/(32\/(-72)) + (-79)\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 - -22.91. Let z = -5.09 - a. Let g = 3.8 + -0.8. What is the third biggest value in g, -2\/17, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22331 - 43?\nAnswer: -22374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 13) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -2 + 2 + 3. Suppose -2*t = -6*t + 16. Let j be (-6)\/(-21) - t\/14. Solve 2 = 2*z - d, j*d + p*d = -z - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8524.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.34841 to three dps.\nAnswer: 0.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*x + 2*u - 20, 0 = -4*x + 12*u - 10*u + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.02, 2, 226\/165?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 7*l + 5 = 0. Let b be l\/((-2)\/22) + -3. Suppose -148 = -5*v + 2*q, -v - 5*q + 0*q = -b. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120022 (base 3) to base 6\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0070016 + 0.007. Round n to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 348*b**2 - 7392*b - 7744.\nAnswer: -4*(b - 44)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -17 and -39?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 225687212 times 2\nAnswer: 451374424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 196574186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 9*w + 0*w**2 + 0*w**3 + 0*w**6 - 19\/12*w**4 + 1\/28*w**8 + 0 + 0*w**5 + 0*w**7. What is the third derivative of x(m) wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17862.104*-17\nAnswer: 303655.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 20. Let u be ((-37)\/(-30))\/(10\/45). Let k = u + -19\/4. Which is the closest to v?  (a) 0  (b) 2\/13  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s - 20*s = -114. Let d = s + 41. Let u(r) = 49*r - 4. Let w be u(d). What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11916 + -326009173.\nAnswer: -325997257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.07 < 32838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -4*b. Let g(f) = -15*f + 6 - 5 - 1. Give n(g(l)).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d - 16. Let v be g(-7). Let y = -5 - -7. Find q such that 7 - 3*q**y + 2*q**2 + 3*q**2 + v*q + 11 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 - 5 - 1)*(2*j - 3*j + 2*j) + 1 - j - 1 + 69*j + 882 - 882 + (1 - 3 + 3)*(-2*j + 0*j + j))*(3 - 2 - 3) as q*j + a and give q.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.075+-812\nAnswer: -812.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - d + 3*d - 226, 3*o - 186 = 4*d. Let s = -56 + o. Let p be (-12)\/15*((s - 7) + 0). Solve 2*a + 3*m = 4*a - 16, 0 = 5*a + p*m + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from {a: 6, u: 3, t: 7, b: 1}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 60480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 21*u = -16*u - 25, 0 = w - 2*u + 7. Put w, 11, 5 in descending order.\nAnswer: 11, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/3 and -53\/9471.\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/706 or 156?\nAnswer: -1\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 248*w - 600. Is 16 a factor of q(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -150930000 to the nearest 1000000.\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 5:43 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 228*s**2 + 3249*s.\nAnswer: 3*s*(s - 57)*(s - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 f, and 1 t when four letters picked without replacement from uqjujffutyqyyy.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -286b079 + -8?\nAnswer: -286b084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35083555 and 4225?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**5\/2 + 2855979*x**4 + 2718872016147*x**3\/2.\nAnswer: 3*x**3*(x + 951993)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x + 6 - 4*x**2 + 1 + 5*x**2. Suppose -5*s + 2 = 2*p, -5*p + 5*s = -p - 34. Is 17 a factor of d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2aa9 - -4?\nAnswer: 2ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -26*r + 613. Give o(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/22 - (-12)\/66. What is the tens digit of 34 - ((t - 5) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 219942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1160947.\nAnswer: 17, 47, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -418131 (base 9) to base 6\nAnswer: -5155214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -8*o**3\/3 - 5*o**2\/2 + 7*o - 315. Let j(v) = 9*v**2 + 6*v - 8. What is -6*j(f) - 7*q(f)?\nAnswer: 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 4*p**2 - 2*p + 7. Let g be d(3). Let q = g + 18. Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 315 - 1562 + 312 + 312 + 308 + 309 + 3*v.\nAnswer: 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -144 (base 8) in base 3?\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.6 - 1.5. Let s = 0.2 + -0.3. Which is the closest to s?  (a) h  (b) 1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47d9a (base 16) to base 2\nAnswer: 1000111110110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1014, -1167, -1574, -2361, -3654?\n\"Answer: -21*u**3 - u**2 - 3*u - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f + 9. Let b be l(-4). Let x be b\/12*(-4 + 8). Let t be (4 - 12)*x\/4. Solve t*o - o + 5*k = 5, 13 = -3*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1104 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r + 127864 - 45784 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 309 = -2*g - 1977. Do g and -1144 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 717120 and 6640.\nAnswer: 717120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -112, -111, -110?\n\"Answer: y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-11) + 918\/(-935). Put -1\/3, -2\/9, q, -0.5 in descending order.\nAnswer: -2\/9, -1\/3, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45.25 - -45.2501473. Round m to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/2184 and -95\/277368?\nAnswer: 277368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7276\/(-20) + 1 - (-8)\/(-40). Round q to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -8, 7003, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 16 = -14. Suppose 0*v - 3*v = i*v. Suppose 2*y - 1 = 3*y. Put -18, v, y in descending order.\nAnswer: v, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j - 1. Let g be q(-8). Let m(s) = -10*s**2 - 34*s - 30. Let n(z) = 3*z**2 + 11*z + 10. Let a(r) = 2*m(r) + 7*n(r). Does 10 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 9*p = -10, x - 1629 = 2*p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -312\/554117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30605314 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + -2*sqrt(500))**2 + sqrt(5) + sqrt(225)\/sqrt(5) + -5*1*sqrt(5) + (sqrt(5) - (sqrt(605) + -1)).\nAnswer: -11*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(4\/6) - (0 - 4). Solve -2*b + 2*w + 7 - y = 0, -4*b = 2*w + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 11. Let w = 23 + x. Suppose 3*n = 4*k + 23, -4*k + 0*k - w = -n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**4 - 4*w**4 + 0*w**4)*(430*w - 6 - 425*w - 10).\nAnswer: -25*w**5 + 80*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/1015 and 119\/9340?\nAnswer: 1896020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a. Let k(v) be the first derivative of 419*v**3\/3 - v**2\/2 + 731. Give k(m(d)).\nAnswer: 419*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14547624?\nAnswer: 2, 3, 7, 13, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1017892881497 - -0.8.\nAnswer: 1017892881497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 0*k + 754 = 3*k, 4*d - 5*k - 618 = 0. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -20.01. Which is the second smallest value?  (a) 3  (b) z  (c) -3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 27.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1774*4\/(-12) - (-10)\/15. Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17509718203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 4:47 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 83406, -11, 5 in decreasing order.\nAnswer: 83406, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 - 12) + -38 - 38.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 3*r - 1. Let g(z) = z**2 - 4*z - 2. Let d(s) = -6*g(s) + 7*x(s). What is d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/4 or 1438538?\nAnswer: 1438538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.08 - -4.08. Let i = -3.999988 + j. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*t**2 + 8942*t + 1820 = 0.\nAnswer: -35, -26\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8092 - -8092.0000015994. Round z to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -730 + 716 = -q. Suppose -2*u - 4*h + 58 = -46, 3*h = 5*u - 221. What is the least common multiple of u and q?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.2  (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2785 is divided by 2698.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1. Let n(r) = 3*r - 21. Let a(z) = 3*c(z) + n(z). Let m be a(8). Solve m = 2*f, -f - 25 = 3*v + 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1961, 4, -4, -4\/5, -1\/5, -2, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**2 + 6 - 6 + (2*p + 0 + 0)*(3*p - 3*p - p) + (-2*p + 3*p + 2 - 1)*(-p - 2*p + 2*p) to the form n*p**2 + m*p + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 5*y + 112, 5*r - 181 = -0*r + 4*y. Suppose 0 = -2*f - 2*f + 56. Suppose 0 = i + 2 - f. What is the remainder when r is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Which is bigger: 367 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/10)\/(((-34)\/12)\/(-17))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 29519 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5183338*a*v**3 - 4*a*v**2 - 11865*a*v + v**3 + 323*v wrt v.\nAnswer: -31100028*a*v - 8*a + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 14. Let z be c(-11). Let u be 2*(-7 - -2)\/(-5) + 2. Sort u, -5, 0, z in decreasing order.\nAnswer: u, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -126, -127, -126, -123, -118, -111?\n\"Answer: z**2 - 4*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n + 2. Let l be r(7). Suppose -26 = -2*j + d, -81 + 25 = -4*j + 3*d. Let q = j - l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -811\/2 - -413. Let x = 7\/6 + v. What is the common denominator of x and (1\/(-5))\/((-1)\/63)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.581 - 0.419. What is the biggest value in -3.3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5*g - 75 = 0, g - 57 = -3*w - 2*w. Let h(f) = -30*f**2 + 31*f**2 - 11*f - 8 + 26. Let n be h(w). Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4 = -r, -5*r = -r + 2*l + 8. Suppose -m + 5*m + 8 = r, -4*k = 5*m - 6. Suppose -k*z + 10 = 2. Solve 3*a = -3*w - 12, 4*a = -w + z*a - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.8894ml in litres?\nAnswer: 0.0668894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -6. Suppose -4*o = -2 - 10. Let j be 0 + o\/(-9) + k. Which is the third smallest value?  (a) j  (b) -0.4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.345 - 0.055. Sort b, 2, -0.05, 4.\nAnswer: b, -0.05, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) -2\/101  (c) -1  (d) -0.1  (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 30*j - 311. What is the remainder when 342 is divided by d(12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -871\/89 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -10984800 to the nearest 10000.\nAnswer: -10980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 35 = c. Solve 3 = z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2431, 0 in ascending order.\nAnswer: 0, 1, 2431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 3.1. Let w = -157 + 110. Let x = 52 + w. Which is the nearest to t?  (a) x  (b) -4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:48 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 501 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2219 divided by -8?\nAnswer: -2219\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2344 (base 6) to base 3\nAnswer: 210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 8. Suppose -r*g + 131 = 35. Let t = g - 14. Solve -n + 0*n = t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5350241.\nAnswer: 13, 411557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = -6756027 - 6159873. Round b to the nearest ten thousand.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) -25  (c) -0.01  (d) -2\/15  (e) -1\/4  (f) -1\/5  (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -30 + 1 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224528?\nAnswer: 2, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*d - 598 + 346. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -443477 minus 2?\nAnswer: -443479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 22 = 3*u, 5*n + 30 = -u - 3 + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -581, 4\/3, -2\/3, -6\/7 in increasing order.\nAnswer: -581, -6\/7, -2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - z - 3*z - 10 = 0, -4*z - 15 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1678761, -3357559, -5036357, -6715155, -8393953, -10072751?\n\"Answer: -1678798*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-11)*i\/(i**(-2\/7)*i))**(-1\/3)\/((i\/i**(2\/5))**(-20\/7)*i**(-5\/6)\/(i\/(i**5*i)*i)) assuming i is positive.\nAnswer: i**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 5*v + 15 = 0, -4*l + 0*l + 3*v = 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.7, -1\/3, 1.2, -0.4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -606*t**6 - 33458*t**2 wrt t.\nAnswer: -72720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -8644 greater than -8648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -326170 (base 9) to base 2\nAnswer: -101111100011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/24720 and 149\/816.\nAnswer: 420240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.10548*447.\nAnswer: -47.14956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {i: 1, d: 1, q: 2, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrq when four letters picked without replacement from {r: 15, q: 3}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/154348954?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20.9999984 + 21. What is f rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t + 7. Let u be o(-5). Let r = -11 - u. Suppose r*n + 3*h - 34 = 3*n, 4*n + 4*h - 32 = 0. Calculate the remainder when 39 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -61259, -122574, -183889, -245204, -306519?\n\"Answer: -61315*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 125 - 62 - 152 - 2*x**2 - 5*x + 3*x**2. What is g(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 418*s**2 - 201*s**2 + s**3 - 204*s**2 - 1 - 14*s. What is o(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a + 15. Let p be h(18). Let b be (10\/(-3))\/(2\/p). Suppose 9*n - 325 - b = 0. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - -20. Suppose 2*j + 644 = 9*j. Suppose j*r - 96*r = -120. Is x at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3 + (1 + sqrt(832)*-3 - (-1*sqrt(832) + sqrt(832))*5)**2)*1.\nAnswer: -7486 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) -2\/143  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*c**5 - 6279*c**4\/2 - 393189*c**3\/4 - 794121*c**2 + 204723*c = 0. Calculate c.\nAnswer: -46, -129\/10, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7725, -15479, -23229, -30969, -38693, -46395?\nAnswer: -54069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2542 is divided by 92.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at most as big as 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 2\/((-6)\/(-9)). Let h(q) = -q**3 + 7*q**2 - 4*q + 10. Let f be h(7). Let n be f\/(-63) - 250\/(-7). Calculate the highest common divisor of n and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 33, 19, -4, -1, -5 in ascending order.\nAnswer: -10, -5, -4, -1, 19, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhuuuhh. What is prob of picking 3 h and 1 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*z + 1891*z**2 - 1893*z**2 + 15*z)*(-4*z + 4*z + z).\nAnswer: -2*z**3 + 31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 4*c = 736, -3*c + 3 = -0. Is n smaller than 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122120 (base 3) in base 7?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 5*v - 35, 3*v = 18*b - 8*b - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2350*s - 1350. Let b(t) = -21*t + 12. Let i(g) = 225*b(g) + 2*u(g). Let c(x) = -17*x. What is c(i(j))?\nAnswer: 425*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4328*c + 74532 = -959*c + 394*c - 116295 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -43*g + 19. What are the prime factors of h(-3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -6. Let u = f + 2.995. Round u to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1704, -7570, -17350, -31050, -48676?\nAnswer: -70234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 + 2*f**2 + 0*f**2 + 67*f.\nAnswer: 3*f**2 + 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3340, 6732, 10394, 14464, 19080, 24380, 30502, 37584?\nAnswer: 45764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(180)\/sqrt(6))\/(sqrt(384) - sqrt(384)*2))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)\/(k\/k**(-3\/7)*k)*k**(2\/5)*k**(-2\/17))\/((k*(k*(k*k**(-2))\/k*k*k*k)\/k)**(1\/22))**(2\/81) assuming k is positive.\nAnswer: k**(-4319867\/530145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/4)\/(-63*12\/(-224))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -32b8 + -227?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -79 + 242. Suppose c*p = 159*p - 156. Which is smaller: p or -121\/3?\nAnswer: -121\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 - 6*v**2 - 6*v + 6. Let k(w) = -w + 24. Let l be k(11). Let j(i) = 2*i**3 + 13*i**2 + 13*i - 13. Determine l*x(h) + 6*j(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwbwwwwwwwwwwbwbbww. Give prob of sequence bww.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 22*v**2 - 16*v - 9. Let f(j) = 3*j**2 - j - 1. Calculate -14*f(w) + 2*g(w).\nAnswer: 2*w**2 - 18*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**5\/60 - j**4\/8 + j**3\/6 + j**2. Suppose 20 = 4*w + 3*s + 3, 2*s = 2*w + 2. Determine r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 378751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 1251*p**3 + 2*p**2 - 53*p - 56. Determine x(-1).\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 0 + 2*h - 1\/6*h**4 + 4*h**2 + 0*h**3. Factor q(z).\nAnswer: -2*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*h = 0, 0*f - 3*h = -3*f + 12. Let r be (-1 - -2)*1*8. Find the third derivative of -r*l**2 - l**6 + l**6 + 6*l**2 - f*l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 3*t - 3*t)*(3 - 2 - 2 + (4 - 2 - 4)*(3 + 4 - 5) + 0 + 0 + 2 + (-1 - 1 + 3)*(5 + 12 - 39)).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 7:20 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -723.\nAnswer: -3\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17.6 + 1.4. Let c = b + -30.5. Let y = c - -5.2. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**4\/2 - 10*q**3\/3 + 11*q**2\/2 - 13*q. Let h(k) = k**2 + 4*k - 2. Let y(z) = -33*h(z) - 6*t(z). Solve y(r) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + b = 10, 4*b + 832 - 842 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 85*b**4 + 2*b**2 - 367*b + 5. Let u(p) = 43*p**4 + p**2 - 184*p + 3. Let f(i) = 3*o(i) - 5*u(i). Find the second derivative of f(d) wrt d.\nAnswer: 480*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(3 + sqrt(1088) + 4) - (5 + (sqrt(1088) - ((sqrt(1088) + (-2 + sqrt(1088) - sqrt(1088)) - sqrt(1088)) + sqrt(1088) - sqrt(1088))) + -2))*-1)**2.\nAnswer: 2640*sqrt(17) + 28289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-12) - 58\/(-8). Let u = n + 0. Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - 1df?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xeea when four letters picked without replacement from aaaxxeea?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8274 and 36200129.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1088)\/80*(18 - (-527)\/(-34))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 644\/230 - -1*(-3)\/(-15). Solve 6*q - g = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 12 = 43*a - 39*a, 15 = -5*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 + 70. Let y = 27.4 - i. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -2 - -1)*16. Let w be ((-1)\/(1\/606))\/((-12)\/m). Suppose -w - 44 = -12*o. List the prime factors of o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54)\/sqrt(3))**2 + 4)*-3 + (sqrt(200) - (-2 + (sqrt(200) - (sqrt(200)*2)**2))) + (-2*sqrt(200))**2 + 3.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86\/119 + 22\/17. Which is the nearest to 1\/4?  (a) 8  (b) v  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3902.628896 to 1 decimal place.\nAnswer: -3902.6","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let g be (72\/15)\/(2\/(-10)). Let z be g\/(-10) + 8\/(-20). Suppose 5*s - 51 = o, -2*o - 14 = -0*s - z*s. What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2526*m - 34142 = 32888 + 82004 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 1 - (127 - 136)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q + 0*q + 0*q)*(q + 4*q - 4*q) - 2*q**2 + 0*q**2 + q**2 + (-q - 22*q - 5*q)*(-q + 3*q - q) as c*q**2 + t + k*q and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*b + 102*b - 45*b + 3 as t + r*b and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4083*b**2 + 3928*b**2 - 8028*b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g - 1. Let w be v(-2). Let z = -13174 - -91207\/7. Let h = z + 144. Is h at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -744*u + 112*u + 134616. Solve -90*b + 147 + u = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-3 + -2 + sqrt(4212)))**2.\nAnswer: -180*sqrt(13) + 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 2\/814585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3022 + 1171 = j, 5*b = -5*j + 20995. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1286\/234769 or 0?\nAnswer: -1286\/234769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3811932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 0*w**3 - 5 - 14\/3*w**4 + 0*w**2 + 0*w**5 + 113\/42*w**7 + 0*w**6 - 5*w. What is the third derivative of l(f) wrt f?\nAnswer: 6780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22457704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/1904 and -50\/21777.\nAnswer: 348432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 f when three letters picked without replacement from sjsejrjsefk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4286  (b) 5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r - 12317*r**2 + 12324*r**2 + 4*r - 6. Let m(a) = -21*a**2 + 17. Determine -6*m(k) - 17*v(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h + 8. Let c(t) = -6*t - 9. Let n(o) = -6*c(o) - 7*j(o). Let s be n(3). Suppose w - 6 = -11. Put w, s, -3 in increasing order.\nAnswer: w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 0*q**3 - 2*q**2 + q + 5*q**2 + q**3 - 2*q. Let t be y(-4). Calculate the remainder when 5 is divided by 1\/(0 - 3\/t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 2)*(j - 5*j + j) - 1 - 2*j + 1 + (0*j + 0*j + j)*(-7 + 3 + 3) + (-2*j + j + 4*j)*(1 + 1 - 1).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(315\/6))\/((-2)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 12:22 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + 0.100012. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8751198.\nAnswer: 2, 3, 1458533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -83*l**2\/2 - 549*l + 82. Let y be j(-11). Calculate the highest common factor of y and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (3 - 6 - 3) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*l - 2*q - 4, 3*l + 4*q + 7 = 0. Suppose 0 = 3*c - l*z - 180, -30 = -c - 2*z + 21. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 2:28 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 163242798 and 14?\nAnswer: 1142699586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 30*b - 39 = 25*b, -5*b = 5. Let j(n) = 20*n**2 - 5*n + 8. Let y(x) = -7*x**2 + 2*x - 3. What is c*y(w) + 4*j(w)?\nAnswer: 3*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5851 * 393.\nAnswer: 2299443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/20*(11 + (-213)\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*i + 37, 5*f - 3*i - 30 = -0*f. Let y(s) = -2*s**3 + 13*s**2 + 10*s - 9. Let j be y(7). Solve -j = c + 2*q, 3*c = 2*c - f*q - 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpngnpppppppppppppg. What is prob of picking 1 p and 1 g?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*c + 189 = 102*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -274959285931.\nAnswer: 274959285930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.6 take away 2184.399?\nAnswer: -2162.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + 7*j - 7. Let h be n(5). Suppose -4*r + 24 = h*m, 49 = 5*r - 2*m + m. Is r\/(-15) - (-226)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43544.11l to millilitres.\nAnswer: 43544110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15*0.1.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -14493, -14495, -14499, -14505, -14513?\n\"Answer: -n**2 + n - 14493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w**3 + 3*w**3 + 13*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*sqrt(132)*-1)\/sqrt(12)*-5.\nAnswer: -2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of 23*q**3\/6 + 32*q**2 + 36*q + 1. Differentiate g(j) with respect to j.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**3 + 120*z**2 + 124*z = 0 for z.\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 64415820 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p**3 + 11*p**2 - 47*p + 42. Give d(-7).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 20 - ((5 - (-3 - 0)) + 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 26528, 53071, 79614, 106157?\n\"Answer: 26543*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -10) + (-2 - (-7 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 207071681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*b + b. Suppose n - 16 = -b*y, -n + 4 = 2*y + n. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -281780*w + 281780*w - 472*w**3.\nAnswer: -472*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 569171689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*b + b - 3204. What are the prime factors of b?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4*n + 3*n - n + 0 - 1. Let v be u(1). Let c(a) = -a + v*a - a. Give c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(-4*sqrt(5)*-4)*1 + 2 + -4.\nAnswer: -2 + sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (4*2)\/(-2). Let c(o) = -6*o**2 - 2*o + 12. Let i(d) = 7*d**2 + 3*d - 13. Let m(f) = 6*c(f) + 5*i(f). Give m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aua when three letters picked without replacement from {a: 8, u: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 121*s**3\/3 - 2*s + 120. Let n(b) = 2*b. Give n(a(x)).\nAnswer: 242*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 5*x - 1\/2*x**2 - 1. List the prime factors of u(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + p + 2*p - p + 0*p - p + p - 2*p + (-4 + 0 + 2)*(p - 2*p - p))*(-48*p - 40*p - 62*p) + 2*p**2 - 4*p**2 + 0*p**2 as q*p**2 + f + v*p and give q.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 6) + 243 + 1. Let b = -133 + s. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 96414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**4\/7 - 6*o**3\/7 + 6*o**2\/7 + 2*o - 12\/7 = 0. Calculate o.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 64 = 4*w, -272*y = -277*y - 13*w - 208 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 103707 = -17579. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/11 - -28\/33. Let z(f) be the first derivative of -h*f**3 + 0*f**2 + 0*f - 1. Factor z(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -565*x - 536. Give a(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**3 - 3*m + 3*m)*(-4*m**2 + 3*m**2 + 3*m**2) + 2*m**5 + 0*m**2 + 0*m**2 + 0*m**5 - 8*m**5 + 2*m**5.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + x - 2*x)*(x**4 - x**4 + 4*x**4) + 7*x**2 - 3*x**5 - 7*x**2.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -5*j - 628. Let k = j + 154. Let q = k + 13. Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ab (base 16) to base 4\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1021005 is divided by 1484.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8365, -16242, -24119?\nAnswer: -31996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 9, p: 1, s: 8, e: 1}. Give prob of sequence esps.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115783156?\nAnswer: 2, 28945789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -h - h - 2 - h + 4*h - h**2 as k + s*h**2 + f*h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 464 and 8?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 46 + 174. Let b = -35 + y. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 divided by 70\nAnswer: 19\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -5, -3, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.8 - -8.21. Let v = w + 2.79. Let k = -3 + v. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (37*r - 27*r + 43*r + (3*r - r - 4*r)*(2 + 2 - 5))*(3 - 10 + 13)*(1 + 1 + 0) as s*r + c and give s.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/(-2) + (-3)\/(-6). Calculate the lowest common multiple of 8 and 2\/(-12)*b + 824\/16.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.966 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1181568 is divided by 6940.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n. Let c(x) be the first derivative of -x**6\/360 + 3*x**3 - 9. Let m(i) be the third derivative of c(i). Calculate g(m(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (9\/((-8784)\/(-244)))\/(1\/240)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 0 - 72*w**2 + 124*w - 39\/2*w**3. What is the derivative of a(k) wrt k?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of 19*d**5\/10 - 89*d**2\/2 + 42*d + 108. Let m(s) be the first derivative of n(s). What is the derivative of m(u) wrt u?\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 9*p. Determine f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 5292 = -k + 4*l, -5312 = -5*k + 6*l. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26*771.75.\nAnswer: -20065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216 is divided by 86?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 4:48 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**7\/70 + 27*w**6\/40 - 2*w**2 + 19. What is g in f(g) = 0?\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 13*d - 34. Suppose -d*p = 555865 + 515135. Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*b + 173160 = 102*b. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 51*y + 62400 = 0. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 18 = -5*u. Suppose 21 = u*a - 9. Which is greater: 11 or a?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -0.1  (c) -2025694\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9420.966km?\nAnswer: 9420966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (0 + 4 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -859, -1713, -2559, -3397, -4227, -5049, -5863?\nAnswer: -6669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.8 minus 3?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13494 + 13503.9. Which is smaller: -20 or w?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58 - -67. Suppose -2*z - 5*r = -152, -4*z - 2*r = -h*z + 380. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*2\/3 - -2. Let p(q) = 3*q**3 + 3*q**2 - 14*q + 9. Let d(j) = -4*j**3 - 5*j**2 + 20*j - 15. Let w(s) = -5*d(s) - 7*p(s). Calculate w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 0) + -10 - -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 5, 1, 11, 14.\nAnswer: -4, 1, 4, 5, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -381842 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 + 11*u**2 - 9*u - 12. Suppose -50 = -5*a - 3*i, 4*i = -a + 3*a - 20. Let t be b(a). Which is greater: -11\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/4)*n)**(-5\/3)*(n*n*n*((n*n\/(n*(n\/(n*n**(3\/2)\/n*n))\/n))\/n)\/n)\/(n**3\/n))**(1\/20) assuming n is positive.\nAnswer: n**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 9*c + 120. Let n(l) = 10*l + 125. Give 5*n(t) - 6*o(t).\nAnswer: -4*t - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 98\/21)\/((-10)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 7*l - 34. What is d(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008113 rounded to 7 dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 393, -5, 5, 2\/7.\nAnswer: -5, -3\/4, 2\/7, 5, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -180*t - 3046. Let n be h(-17). Let s be (9\/6)\/((-5)\/10*1). Put n, -2, s in decreasing order.\nAnswer: n, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**2 + k**2 + 5*k**2 + (2 - 1 + 1)*(k**2 + k**2 - 3*k**2) + (3*k - k - 4*k)*(3*k + k - 6*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 208*y + 3. Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1 - 0 - 228\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.23296 take away 4.1?\nAnswer: -4.33296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -501 - -594. Calculate the remainder when 194 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 - 4*u**2 + 3*u**3 + 10 - u**4 + 5 to the form h + a*u**3 + s*u + p*u**2 + t*u**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1856293 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 92c2 (base 15) in base 12?\nAnswer: 15b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 4. Let p be n(0). Let z(o) = o + 7. Let h be z(p). Let k(w) = -51 + 3*w - 48 + 97 - w**2. Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -704 = -4*w - 4*k - 816, 4*w + k + 40 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 597509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3921, -7651, -11381, -15111, -18841, -22571?\nAnswer: -26301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**2 - 23*r - 22618*r**3 + 11293*r**3 + 11303*r**3 to the form b + x*r**3 + o*r + c*r**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-24)\/((-1920)\/(-8)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 1. Let j be i(2). Suppose -f = -j*f. Which is the closest to f?  (a) 4  (b) -0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 112591.\nAnswer: -4\/112591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + -1.051536\nAnswer: -1.151536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - v = 4, -2*l + v = 4*v + 2. Let y be 3\/l - (-1)\/(-2). Let z = -119 + 121. Which is the nearest to z?  (a) 0  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-8) - (-2200)\/96 and 15\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9466933 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -4*h + 89, 4*n + 0 + 4 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -2.8.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 6 = 4*k. Let a(n) = n**2 + 3*n + 1. Let r be a(k). Sort 1, r, 0 in decreasing order.\nAnswer: 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 4.02. Let u = 135 + -134.6. Which is the third smallest value?  (a) 0.2  (b) z  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 8:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -146435 + -11?\nAnswer: -146446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 72377\/16 - 4526. Calculate the common denominator of h and 63\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**2 - 17*q**2 + 6*q**3 - 6*q**2 to the form h*q**3 + a*q + z*q**2 + g and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -150086505 divided by -15857\nAnswer: 9465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r - 3. Let a be i(-3). Suppose h = 2*h + 3*m - 5, -15 = -a*h - 5*m. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 divided by -2918?\nAnswer: -19\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 882 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1576, -4, -12, -342 in increasing order.\nAnswer: -342, -12, -4, 1576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (144\/56)\/((-9)\/42). Let r = -10 - j. Suppose -t = r*x - 0*x - 1386, -2*t + 2078 = 3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/2*c - 3\/2*c**2 + 0.\nAnswer: -3*c*(c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m**3 + 2*m**2 - 30*m - 68. Let h be z(-22). What is h rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + x - x**2)*(1 - 1 - x) - 11*x**3 + 8*x**3 - 26*x**3.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 598 in 0.2, -0.1, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225 - 3*c**2 - 84*c + 2 + 11 + 39 + 2.\nAnswer: -3*(c - 3)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i - 3. Let b = 6 - 1. Suppose 0 = -g - 5, -5*u + 0 = -g + b. Let s be w(u). Calculate the highest common divisor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142880 is divided by 47401.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.222666 + 2.2141. What is x rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5482 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0047 - -0.2953. Put -49, u, 5 in ascending order.\nAnswer: -49, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 + 41. Let k = 77 - -71. Suppose -5*y = -4*h + k, 0 = -h - h + 2*y + 74. Calculate the remainder when h is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 393655501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 6, -4*s + 17 = 3*r - 0*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 2*q + 1. Let k(o) = -o**2 + 8*o - 5. Suppose 14 - 35 = -3*v. Let z be k(v). Let d be j(z). Solve -u + d = -3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1469827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -51635 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4465\/(-20))\/((-2)\/8). Is 5\/(-20) - a\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 10671.\nAnswer: -4\/10671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + 15959171315.\nAnswer: 15959171321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -105 - -241. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*q + 28, -5*v - 2*q + 38 = -v. Let y = v - 6. Let u(n) = n + n - n + n**y - 4. Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21 + -84. Suppose -5*l - 355 = -5*u, -12*u + 2*l - 146 = -14*u. Does 12 divide (u\/(-10))\/(j\/420)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 3*t**2 + 10*t + 4. Let b be y(-4). Let j = 72 + b. Solve 3*c - 5*l - 19 = 7*c, -5*l = 5*c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-15)*((-6210)\/252)\/(-69)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1374 = 32*o - 2*x + 2334, 0 = 2*x for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 54\/98921, 1\/2, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 0*s - 3*s + 5 + 2*s + s**2 - 2. Is 8 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p. Let q(v) be the third derivative of 13*v**8\/20160 + 11*v**5\/15 - 63*v**2. Let g(n) be the third derivative of q(n). Calculate g(w(t)).\nAnswer: 325*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 - 44. Let h(i) = v*i - 9*i - 9 - 12*i. Is h(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -1  (c) 0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of 4*i**7\/105 - 5*i**3\/6 + 8*i**2. Find the first derivative of s(v) wrt v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 9. Let d(p) = -16*p**3 + 36*p**2 - 26*p - 6. Let m(z) = -3*z**3 + 7*z**2 - 5*z - 1. Let g(t) = 2*d(t) - 11*m(t). Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16374 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 12*y + 5. What is the remainder when g(2) is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-3*sqrt(68)*1)\/(sqrt(16)\/(-1*sqrt(4))))**2*4*-4.\nAnswer: -2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*a = -26*a - 159220 - 18773. What are the prime factors of a?\nAnswer: 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/5)\/(o\/o**(-30)) assuming o is positive.\nAnswer: o**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7a + -25?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8897.\nAnswer: 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1943056 - 1942020 = -37*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-2)*5*8944\/(-1290).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -15*f - 1. Suppose 5*t = 15, 0 = 5*z - 3*t - 25 - 96. What is the remainder when z is divided by q(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**5\/9 + 16*b**4\/9 + 8*b**3\/3 + 16*b**2\/9 + 4*b\/9.\nAnswer: 4*b*(b + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, q: 1, o: 1, a: 1, x: 2, s: 2}. What is prob of sequence yo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 29*h**2 + 65*h - 3. Let k be s(31). Let z(p) = -k*p - 89*p - 2 + p**2 + 175*p. What is z(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 4*z - 30. Suppose z*d + 34400 = 4*d. What is d rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112013211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -11 + (10 + -1 - -9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 18 - 4. Let y = m + 13. Is y at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 5 - 5. Is 5278\/18 + a\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a + 7*p - 8*p - 15, 3*a - 6 = 5*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5251.9541 and -1?\nAnswer: 5251.9541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2\/2 - 79290*h - 7146225\/2.\nAnswer: 5*(h - 31761)*(h + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -32. Suppose -5*g + 3 = -2. Suppose -r - g = -35. What is the remainder when r is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 776095768 less than -4?\nAnswer: -776095772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021052 (base 9) to base 14.\nAnswer: -102a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 3*y - 5 = 0, -5*k + 4 = -4*y + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventy-two fifths of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 5612455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 1522 = 206. Suppose -34*h = -52*h + s. Calculate the lowest common multiple of 36 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 992 - 988. Solve 0 = 2*t - k*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o**2 - 8. Let b(q) = -1. Let y(g) = -14*b(g) + 2*j(g). Let h(f) = 5*f**2 + 2. Let n(u) = 5*h(u) + 6*y(u). What is the derivative of n(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -18*j - 21. Let l be f(21). Let z be 2 + (-2 - 2) + 1095. Let y = l + z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*x - 52 = 68*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 - 60*p - 1196. Give r(-17).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from rxxxyxddvxyyh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -26*q + 95 - 24. Solve -2*b - q*l = 3*b - 40, -3*l = 2*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 11:54 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/30 and 4\/(-21)*-3 - (-426)\/504.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/10 - (-14)\/10. Let n(k) = -120*k - 1. Let z be n(r). Let x = z + 171. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.726516s in days?\nAnswer: 0.00000840875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 3 + 6)*(-2 - 3 + 2) + 3 - 4 + 0)*(h - h + 3*h).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 8 = -218. Let p(q) = 8*q**3 + 2*q**2 - 2*q - 5. Let l be p(4). What is the units digit of (-2)\/7 - l\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-1))**(-7\/8)\/(b**(-5)*b*b*b*b**(-3)*b*b))**(-4) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-12)*-3*4)\/((-4)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4200 a factor of 1370182800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 151049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a + 3. Let s(u) = u + 8. Let l be ((-18)\/15)\/((-1)\/(-5)). Let y be s(l). Let x be j(y). Do -3 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*i - 35*i + 66. Solve 3*t - 15 = 3*q, 0 = 3*q + i*t - 5*t + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of -i**4\/12 + i**3 - 7*i**2 + 236*i + 69. Let x(b) be the first derivative of u(b). Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 - 8*c. Let k(m) = 18*m**2 + 64*m. Let q(d) = 8*i(d) + k(d). Let w(b) = 10*b**2 - 4 + 4. Calculate w(q(x)).\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -105*x**3 - 1995*x**2 + 93*x + 1839. Give b(-19).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5104 and 51975?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -778*m**3 + 17*m**2 + 822*m - 21. Let l be q(-19). What is l rounded to the nearest 10000?\nAnswer: 5330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 539912209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1)*c**(-1\/22))\/(c**(4\/7))**(-43))**(-23) assuming c is positive.\nAnswer: c**(-83329\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*j - 696 - 456. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -123*i**2*o**4 + 2*i**2 - 45*i*o**4 + 2*i - 2419 wrt o.\nAnswer: -492*i**2*o**3 - 180*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -102.8 - -112. Let k = 10 - w. Let d = -0.7 + k. What is the smallest value in 1, d, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 1\/5  (c) 0.03  (d) -20  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - 21*j**2 - 174*j + 2453. Calculate l(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -131 - -409. List the prime factors of j.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -7)*(-1 - 3\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -832.95 + 833. Which is the fourth smallest value?  (a) -14  (b) 2  (c) n  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 144 and -1.3?\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -3*p**2 - 18108*p - 27324972 = 0.\nAnswer: -3018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-112)\/20*(-15)\/(-6). Let r(h) = 9*h - 7. Let x be r(5). Let v = f + x. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m**2 - 3*m - 3. Let c(r) = r**2 - r - 1. Let l(p) = -3*c(p) + d(p). Let x(h) = -1. Let w(z) = -2*z**2 + 6. Let a(i) = -w(i) - 6*x(i). Give l(a(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7766396 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-1)*h)\/h)\/h*h**4*(h*h\/h**(-1\/3))**(2\/81) assuming h is positive.\nAnswer: h**(743\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pd when two letters picked without replacement from xipppppid?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, g: 1, i: 4, k: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 10*m = 256. Calculate the highest common factor of 48 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.73805l in millilitres?\nAnswer: 41738.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26384214 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 81968 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4416657287.\nAnswer: 7, 6977, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17689824951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/12439 and -69\/1826.\nAnswer: 22713614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*x**3 - 4 - 41308691*x + 4 + 41308691*x.\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(-1\/38))*y\/((y*y*y**23*y)\/y))\/((y**36\/y)\/(y*y*y\/y**15)) assuming y is positive.\nAnswer: y**(-2699\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c - 2*c)*(-1 + 1 + 4) + 2*c - c + 0*c + 3*c - c - 3*c + 18*c - 10*c + 5 - 12*c.\nAnswer: -12*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*g = 50, -x + g = -0*x + 13. Let l = 11 + x. Suppose -r + 11 = 2*t, 3*r - 29 = -l*t - r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/58833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/16*(9\/3)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -608306*a - 42039 wrt a.\nAnswer: -608306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10263 is divided by 155.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n**(1\/17)\/n)\/n*n)\/n*n*n\/(n\/n**(2\/5))*n**(-1\/5)\/(n*n**(-1\/21)) assuming n is positive.\nAnswer: n**(-1238\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -7 + -4*(-27684)\/16 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 639*p**5 + p**4\/12 - p**3\/3 - 293*p**2 + 7183*p. What is the third derivative of n(i) wrt i?\nAnswer: 76680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.1 * -4.4\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 190*h**2 - 187 wrt h.\nAnswer: 380*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p + 6. Let c be v(-3). Suppose -4*s + 14 = -q, 6*q - 26 = c*q - 5*s. Suppose -30 = -q*h - 0*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -483*l*q**4 + l*q**2 + 116647*l - 34*q**5 - q**2 wrt q.\nAnswer: -11592*l*q - 2040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 8*u**2 + 30*u + 102. Let s be h(-5). Let n(l) = -l**2 + 2*l. Give n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(-6*p + 15*p - 4*p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add -3318 and -0.3.\nAnswer: -3318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152363?\nAnswer: 152363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 102\/7*i - 585\/7 + 3\/7*i**2 = 0.\nAnswer: -39, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 117543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q. Let a(p) = -9*p - 1. Suppose 0 = 4*d - 8. Calculate d*a(i) + 5*n(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dam when three letters picked without replacement from xdama?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**14)\/v**(-17)*(v*v\/(v\/v**15)*v)\/v*v**(-11) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does -6\/12145 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + 7*l + 5. Suppose -3*s - 2*b - 7 = -4*b, s = -b - 9. Let p = -2 + s. Let v be d(p). Let m(z) = z**2 - 5*z. Determine m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 20 = -c + 2*q, -4*c + 56 = -4*q. Let g = c + -12. Suppose a - 5*y - 33 = -0*a, g = a - 2*y - 36. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 414 + -432. Let o be c\/3 - -8 - 0. Suppose 2\/3*g + 2\/9*g**3 - 2\/9*g**4 + 10\/9*g**o + 0 = 0. What is g?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 3\/8, -4, 5, -5, 5\/18 in ascending order.\nAnswer: -5, -4, -1\/3, 5\/18, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1141428370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1559, 3 in ascending order.\nAnswer: 0, 3, 1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13, 329, 1149, 2725, 5309, 9153, 14509, 21629?\n\"Answer: 42*s**3 + 22*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**(1\/10)\/c)*c*c*c*c**(-3)\/c*c*c*c)\/((c*c**2*c)\/c*c*c)**(1\/27)*(((c**(2\/17)\/c)\/c*c)**(3\/28))**(6\/23) assuming c is positive.\nAnswer: c**(1732988\/369495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 36.52559m?\nAnswer: 36525590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6749, 26340, 58759, 104000, 162057, 232924, 316595?\n\"Answer: -d**3 + 6420*d**2 + 338*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.093 + 0.054. Let g = z + 20.039. Let v = 18 - g. What is the fourth smallest value in 0.2, 2, v, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4108 + 10.67.\nAnswer: 4118.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -28. Let k(w) = 2*w**2 - 5*w + 3. Let d be k(3). Suppose 0*u - d*u + 24 = 0. Solve u*c = 9 + z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*u + 146*u**3 + 2*u - 3*u**2 - 164*u**3 wrt u?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54*z**3 - 3748291*z**2 - 196*z + 566988.\nAnswer: 324*z - 7496582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 45313670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/((-6)\/28). Let z = d + 7. What is the highest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-109)\/(-4) - (17 - 13) and 15\/34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-60))\/(6*(-3)\/(-10))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 199\/42 - 32\/7. Which is the second biggest value?  (a) i  (b) 0  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -48.1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -4206000 to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -13*s - 442. What is m(-36)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 2*v - 18, -4*v - 25483 + 25486 = 3*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 89 + 43. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4108 - 27?\nAnswer: 40b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -3. Suppose -3*n = 3*t - 21, -8*t + 4*t + 3*n = -35. Let d = 6 - t. Which is the closest to -0.1?  (a) 3\/2  (b) h  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1696 and -3391\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/7)*z\/z**(-2\/9)*(z*z\/z**(-2))\/(((z\/(z*z\/(z\/z**(8\/5))*z*z))\/z)\/z))**(-24) assuming z is positive.\nAnswer: z**(-29072\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3272 and 22622199?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30294185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -116 + 261. Let g = 99 - k. Let b = g + 45.878. Round b to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396988 is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*u + 8 = 0, 33 = 2*p + 5*u + 8. Suppose -16368 = -p*j - 3168. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-2) - 1) + -1581*34\/(-204). Calculate the greatest common divisor of 1943 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438 is divided by 417?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u - 1. Let h be i(0). Put 2\/19, 2\/25, h in ascending order.\nAnswer: h, 2\/25, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*x - 46 + 31 = 57 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 100 and 675?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1299047880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -47.3035895 to three dps.\nAnswer: -47.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, o: 2, e: 1, u: 4, q: 6, i: 4}. Give prob of picking 1 u, 1 j, 1 o, and 1 i.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/21005443 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/44 or 41\/2?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -2\/489, -1\/10, 5, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14, 17, 22, 29, 38, 49, 62?\n\"Answer: x**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.084 minus 3534648793787?\nAnswer: -3534648793786.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gsgsgggggssss. Give prob of picking 4 g.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9180 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofbbfoffbfbbbbgjbgjb. What is prob of picking 2 o?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - 1232\/(-1254)*-1) + 16.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfhohsww. What is prob of picking 1 o and 2 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 28, 4, 0.2, -47, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 55*y**2 + 582*y. Let z(t) = -26*t. Calculate z(j(l)).\nAnswer: -1430*l**2 - 15132*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/3*(-6)\/4. Suppose 2*s - 9 + q = 0. Suppose -d + s*d = 6. Solve d*u + 1 = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence igd when three letters picked without replacement from {i: 8, d: 4, g: 1}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 538784218?\nAnswer: 2, 7, 47, 818821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + v - 1 = -2, 0 = -4*v - 12. Let m = 285582 - 285584. Which is the nearest to z?  (a) m  (b) 2\/19  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of u**5\/60 + u**4\/24 - u**3\/2 - 27*u**2. Calculate s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(3)) - (sqrt(27) + 0).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 76614, 153229, 229848, 306471, 383098?\n\"Answer: 2*q**2 + 76609*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 836 is divided by 210.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33180 and 1887060?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.83293 + 0.16707. What is the fourth biggest value in -0.4, -42, 0.4, r, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-5)*2\/4*72. Let f = -61 + j. Suppose 38 = 3*a + f. Which is smaller: a or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1464 and 892308.\nAnswer: 1784616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 12:41 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 183?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1907445645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 * -0.04.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 11 and -1.7534284.\nAnswer: 9.2465716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 - 1010720*t**2 - 2021446*t - 1010724.\nAnswer: 2*(t - 505362)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 1:08 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.083 and -1400.\nAnswer: -1400.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 AM and 11:12 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-202)\/(-14) - (-13530)\/(-9471).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -594 by -1.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-14\/9)\/j)\/j*j*j*j**3)\/(j\/(j**(-4\/3)\/j))**(-32) assuming j is positive.\nAnswer: j**(973\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/13353?\nAnswer: -2\/13353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**6\/120 + p**5\/10 - 11*p**4\/12 + 7*p**3\/2 + 10*p**2. What is the tens digit of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -13 + 790855\/13 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 o, and 2 r when four letters picked without replacement from {x: 1, c: 3, r: 2, o: 1, m: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1683782 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2345\/(-4)*(-2032)\/(-17780)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 0 - 2)*(108*b**2 - 748 + 748) + (6*b - b + 4*b)*(b - b + b) to v*b + q*b**2 + w and give q.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**3 + 3*r**2 + 8*r - 35. Let a be c(5). Put -1, 3\/4, a in decreasing order.\nAnswer: 3\/4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 50*(-7)\/(35\/2). Let r = 18 + l. Let d be 12\/2 - (0 + (r - -3)). Is 6 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 872900 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1221 != -716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*(-4 - -2) + 5. Let f(a) = 26*a - d*a**2 + 7 - 26*a. Let q(g) = -6*g**2 + 15. Let v(l) = -9*f(l) + 4*q(l). Suppose v(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61309 - 262549 = -117*x. What is the highest common divisor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -96440, -95947, -95454, -94961, -94468?\n\"Answer: 493*j - 96933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -246 - -502. Suppose q - 40 = 4*c. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 15\/17, -2\/7, -2\/5, 2, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -1852*c + 3675*c - 1850*c. Let p(x) = x**2. Calculate v(p(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4207\/8 - 526. What is the second biggest value in -3, 18, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36224249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 138398 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 520 - -97. Suppose 3*h - 6*o + 2*o - 908 = 0, 0 = 2*h - 5*o - s. What is h rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 3*q**2 - 22 + 31*q**3 + 1 - 15*q**3 - 17*q**3. Factor c(i).\nAnswer: -3*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2 - 65914*k + 329595.\nAnswer: -(k - 5)*(k + 65919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.3924 - 26.7934. Round a to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6133, -6093, -6039, -5965, -5865?\nAnswer: -5733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*j = j + 39227, -15677 = -2*k - 5*j. Let f = k - 4085. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3386884\/(-6))\/(416\/(-39) + 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39 and 107725371.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -8*j**2 + 869*j - 1449. Let q(z) = -2*z**2 + z - 1. Let r(y) = -i(y) + 3*q(y). Differentiate r(k) with respect to k.\nAnswer: 4*k - 866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h + 2. What is k(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(175) - 2*sqrt(175))*1*-3 + (-3*(3 + sqrt(175) + sqrt(175))*5)**2).\nAnswer: 54060*sqrt(7) + 638100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -48611511995449\/4146324440 - 603\/9072920. Let p = 11724 + k. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 5. Let k be h(-3). Suppose -5*x = -k*x + o - 7, 8 = 2*o. What is the remainder when ((-10)\/6 + 1)\/((-81)\/243) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483*q + 637 + 4385 + 1740 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.071301 less than or equal to -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 33 + 34 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-54)\/(-18) - (1 - -416). List the prime factors of (4\/8)\/((-3)\/j).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55 or -16875\/313?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13863, 13884, 13917, 13968, 14043?\nAnswer: 14148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 82, 157, 144, -35, -458, -1203?\n\"Answer: -13*a**3 + 34*a**2 + 64*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 990984*v**3 + 31*v**2 + 514*v + 18?\nAnswer: 5945904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1219744 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 2\/7  (c) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.9 * -7.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 607788552 to the nearest integer?\nAnswer: 24653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*f - 42*f - 25*f - 94*f - 52*f**2.\nAnswer: -52*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -11, 5, -0.1, -1, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (442\/(-676))\/(-2*(-4)\/(-112)) + -9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-36) - 7\/((-140)\/(-5)). What is the biggest value in -16, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 1582328.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.78721 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13.27 - -12.7. Let u = -33.8 - -33.23. Let l = g - u. Sort -0.5, 0.4, -4, l in decreasing order.\nAnswer: 0.4, l, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6b9 (base 15) in base 12?\nAnswer: -a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17184 by -179.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 168268.413 to the nearest 1000.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -550535, -550536, -550537, -550538?\n\"Answer: -g - 550534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 221570\/171 at least as big as 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 3*y**2 - 2*y - 3. Let q be (-7 + 4)*(6\/3)\/(-2). What is w(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, t: 2}. What is prob of picking 1 t and 2 o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -5 - (-2 + 0 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-18))**(-22)\/(b*(b*b**(-38))\/b*b*b\/b**(-6)) assuming b is positive.\nAnswer: b**425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 2. Let k be n(0). What is the derivative of 4*l**4 - 4 - l**4 - k*l**4 + 1 wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 5207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9243*j + 18514*j - 9325*j.\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 50 and 0.75?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -37, -5, -1.0361, 2\/7, -2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 117 + -129 - (0 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 183777, 367554, 551331, 735108, 918885?\nAnswer: 1102662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8984 and 8668.\nAnswer: 19468328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 597\/31, -6\/11, -0.6, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 9*s = 105. Suppose 3*r = -t + 3 + 3, -t = -4*r + s. Solve 0*g - r*g = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.62461ng to grams.\nAnswer: 0.00000008062461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-40) + (171\/15)\/(-3). Let j = -3 - -3.2. Let h = -0.4 - -0.1. What is the second biggest value in h, c, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*sqrt(2448) + sqrt(2448))**2*2.\nAnswer: 29376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 5*s**2 - 2*s - 8. Let j be x(6). Suppose -j - 8 = -6*a. Suppose 0 = -3*h - 0*g + 4*g - 23, -a*g + 13 = -h. Is -5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*s - 76 = 84 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -5*w**2\/2 - 1. Suppose -1 = -5*n + r, -2*n - 22 = -4*n - 5*r. Let t(f) = -13*f - n + 1 + 14*f. Calculate -p(a) - 6*t(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 18840.79 millilitres?\nAnswer: 18.84079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tl when two letters picked without replacement from atttgtatzl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b22920 (base 12) in base 14?\nAnswer: -aa278c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -19, -141, -66 in decreasing order.\nAnswer: -2, -19, -66, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/3))**48*j*j\/j**(-2\/13)*j**(-4\/11) assuming j is positive.\nAnswer: j**(-2032\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135011.\nAnswer: 79, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*n**3 - n**3 - 15 + 6*n**3 - 2*n + n**3 as m*n**2 + b*n + v + y*n**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36982*m + 73605*m - 36691*m.\nAnswer: -68*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 320521 + 10?\nAnswer: 320531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/25696 and 65\/65408.\nAnswer: 719488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2 + 9 + 6 + 6 + y. Let z be j(-14). Let q = 16 - z. Solve q*l - 3*l - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50514 (base 6) in base 15?\nAnswer: -1e9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53, -45, -143, -241?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6074.05 * 0.2.\nAnswer: 1214.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*394\/(-4) + -1. What is the tens digit of a*(-8)\/20*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10366 * -149\nAnswer: 1544534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.824908mg in micrograms?\nAnswer: 1824.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 8:54 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 403984*20\nAnswer: 8079680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**2 - j**2 - j**2 + (1 - 1 + j)*(0*j - j + 3*j) - 2*j**2 + 2*j**2 - 2*j**2 + (j - 2*j - 3*j)*(-3 + 3 + 11*j).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*x + 133*x = 2*f + 271*x - 10, -27*f = 2*x - 73 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22 - -12) + 116 + 13 - (-1 + 9 - 2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 11:29 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**5\/10 + 7*l**4\/3 - 7*l**3\/3 + 11*l**2 + 5*l. What are the prime factors of b(12)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j**3 - 4*j**3 - 2*j**3)*(-2*j - 2*j - 2*j) as z*j + a*j**3 + d + g*j**4 + i*j**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.15 - -0.05. Put j, -5, -1 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5043155 (base 6) in base 5?\nAnswer: 30123213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-24) - (-6 + 59\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 1276 - 1444. Let w(f) = -28*f**2 - 2. Let i be w(-2). Let h = i + l. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 4*s - 10, v - 4*s - 24 + 11 = 0. Let l(n) = 4*n**3 - 2*n**2 + 1. Let g be l(v). Solve -4*j = -m + 6, -g*m + 2*j = -j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -97 + 100. Suppose -4*s + 4020 = -k*s + 2*h, 3*s - 2*h - 12060 = 0. Round s to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/102 + (-369782)\/(-17). Let r = q + -5605. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -196*b**5 + b**3*v**2 - 2*b*v**2 + 88*v wrt b?\nAnswer: -3920*b**3 + 6*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01803507 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000997566 to six decimal places.\nAnswer: 0.000998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) -7  (c) 84\/5  (d) 54  (e) 0.3  (f) 3  (g) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7174?\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - m + 21. Let r be m + 1 + 2 + (0 - 216). Let k = r - -307. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6*z - 9*z - 197 = 0, 2*r - 5*z - 95 = 0. Calculate the highest common factor of 365 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**2 - 12921*d + 1794359. What is r(142)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((8*15\/(-480))\/(12\/(-16)))\/((-116)\/(-48))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 204*d + 206*d + 217*d - 1649 + 1649 - 628*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27.034 + 11. Let x = v + -38. Round x to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24039 - -24038. Let g(f) = -f**2 - 4*f + 4. Let m be g(-4). Sort m, 2, p in decreasing order.\nAnswer: m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23220 and 33540?\nAnswer: 301860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 5*m = 5, 2*m + 2*m = -3*t - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.59 + 0.09. What is the closest to 1 in t, 5, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48432 = 18*h + 12702. List the prime factors of h.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -157 - 139137a?\nAnswer: -1391526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5043 divided by -7195\nAnswer: 5043\/7195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2137, 8474, 19025, 33790, 52769, 75962, 103369?\n\"Answer: 2107*h**2 + 16*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -6*l. Let n(p) = 4*p + 4. Let j(h) = h**2 + h + 1. Let s(o) = -4*j(o) + n(o). Calculate s(f(x)).\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + 2 + -3)*3. Suppose d*m = -k + 16, m + 3*k - 20 = -k. Let x(b) = 3*b - 4. Determine x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - 5*u + 3*u)*(9*u - 4*u**2 - 9*u - u**3) to the form q*u + i*u**3 + j*u**2 + n + b*u**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 262 by 2.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11942464 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**5\/4 - 7*a**4\/4 + 125*a**2. Determine g, given that d(g) = 0.\nAnswer: 0, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.035 - -12.035. Which is greater: f or -4\/1201?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.8 + -0.5. Let b = -0.297 + -0.703. What is the third smallest value in a, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 65*f**2 - 6*f. Let j be g(-1). Which is smaller: j or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.5?  (a) -3\/4  (b) 0.5  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2 = 2*b, 2*w + 2 - 8 = -b. Let x(o) = -o**3 - 8*o**2 - 8*o - 2. Let l be x(-7). Suppose -2*i - l = -25. Solve -4*m + w*m = i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -944*v - 2*v**3 - 203 + 4*v**3 + 913*v - 112.\nAnswer: 2*v**3 - 31*v - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8277518?\nAnswer: 2, 151, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22065328?\nAnswer: 2, 151, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 4:12 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121997 is divided by 20331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(15\/15)\/(2\/(-184)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 48178*x - 47843*x - 33835 for x.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -166939344 divided by -35376?\nAnswer: 4719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/52)\/(18\/(-24)). Which is the second smallest value?  (a) -2  (b) -3\/8  (c) h  (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 2*x**2 + 4*x + 4. Suppose -8 = -5*i + 7*i. Let d be u(i). Suppose 3*g - 37 - d = 0. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10300976, -10300970, -10300960, -10300946, -10300928, -10300906, -10300880?\nAnswer: -10300850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5635695 - 1710892\nAnswer: 3924803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, -2, 9 in ascending order.\nAnswer: -6, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -232 - -232. Suppose o + 2*f - 2 = x, -f = -13*o + 9*o - 1. Is 2\/33 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105757.\nAnswer: 17, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((840\/36)\/14)\/(3\/9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69255 = -17*c + 6*c + 26*c. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103675 divided by 25\nAnswer: 4147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 1:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56b20 (base 15) to base 6.\nAnswer: 5525120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + (-6)\/2 - -6. Suppose 2*z = -3*y + 16, d*z - 6*y = -3*y + 9. Calculate the remainder when 12 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 43357*x - 173424. Give b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(2*d + 0*d + 0*d) + 2*d + d - d + (-709 - 870 + 370)*(-2*d - 2 + 2 + (-2*d - 2 + 2)*(2 + 0 - 1)).\nAnswer: 4834*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 842132 is divided by 2159.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + u = -29, -5*u = 4*f - 3*u - 122. Let n = f + -18. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5758000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + (0 - (13 + 8))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 8126040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*a + 11*a**3 + 10*a**2 - 76*a**2 - 4 - 44*a**2 + 7.\nAnswer: 11*a**3 - 110*a**2 - 11*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 6*w + 3. Let k be a(-3). Suppose k*q = 49 - 1. Let d(t) = 4*t**2 + 2*t - 1. What is the remainder when d(1) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*((-150)\/(-72) + 1\/(-3)). Let a(o) be the third derivative of -o**6\/120 + 2*o**5\/15 - o**4\/6 - o**2. What is the units digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1902, 3854, 5806?\nAnswer: 7758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 13*s**2 + 11*s + 59. What is y(8)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1204, -4827, -10870, -19333, -30216, -43519?\n\"Answer: -1210*x**2 + 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (240 + 18*h - 240)*(-2 - 15 + 20 + 24*h).\nAnswer: 432*h**2 + 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195*u = 173*u + 490974. What is the remainder when u is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1\/9, -5, -0.5, -9\/8, 0.5, 4\/1023?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 80, 156, 232, 308?\n\"Answer: 76*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = k + 28, 2*h - 60 = -2*k + 4. Calculate the highest common divisor of h and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/4)\/(8\/(-96)*15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -64. Solve -4*t - m = 5*s, 4*t - 2*s + 20 = -6*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142509722?\nAnswer: 2, 5821, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3578969 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -391 + 1961\/5. Let t = 17\/10 - m. Determine i so that -1\/2*i + i**3 - i**2 + 1\/2*i**4 + t - 1\/2*i**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -1) + 26\/13. Which is the biggest value?  (a) v  (b) -3  (c) -2\/3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*k**4 - 2*k**2 - 132*k - 28028.\nAnswer: -56*k**3 - 4*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.008 in -4, -0.038, 61?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -73825 divided by 10\nAnswer: -14765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -79 - -947\/12. Let u = 0.38478 - 0.08478. What is the biggest value in -0.3, 2\/17, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 3*y + 4, -y - 6 = f - 0*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7 - -4 - 2)\/(363\/(-242))*(-6)\/23. Factor -2\/23*p**4 + 0 - 42\/23*p**2 + 16\/23*p**3 + w*p.\nAnswer: -2*p*(p - 3)**2*(p - 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6447913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24847, -49740, -74681, -99664, -124683, -149732, -174805, -199896?\n\"Answer: x**3 - 30*x**2 - 24810*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooii. Give prob of sequence oii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/8 + 228*c**2 - 5451*c\/8 + 1815\/4.\nAnswer: -3*(c - 605)*(c - 2)*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -24*c**2 + 5*c. Let d(t) = 551*t**2 - 114*t. Calculate 5*d(u) + 114*j(u).\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 13\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 786856.1 millennia to months.\nAnswer: 9442273200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -102169620 divided by -27180?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11670928*s**6 - 9775689*s**2?\nAnswer: -1400511360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 12:37 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (4 - 17) + 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 372, 1, 5, 36, -10 in descending order.\nAnswer: 372, 36, 5, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23618298\/65 - 487856793773\/1342640. Let b be (4\/12)\/(5164\/(-6)). Let p = b + k. Calculate the common denominator of -67\/8 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1100, 4418, 10140, 18428, 29444, 43350, 60308, 80480?\n\"Answer: 27*h**3 + 1040*h**2 + 9*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 11 = 4*t - 0, 3*t + 4*m = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*f = -79 - 176 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13251 minus -0.27?\nAnswer: -13250.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - -24. Let u = -28 + v. Suppose -3*d - 121 = -u*b + 109, -d = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 3:17 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1292084448?\nAnswer: 2, 3, 13459213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 98338269?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4*(0 + sqrt(5)))**2 + (sqrt(1440)\/sqrt(8))**2*-5.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(6\/5)\/j**6*j**(-4\/5)\/j*j*j\/j**(-5) assuming j is positive.\nAnswer: j**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2328 + 1 + (-11)\/(44\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9465600 divided by 55680\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7 + 4)\/(6\/(-4)). Let w be (-7)\/(-14)*0\/u. Do w and -5\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3353324 (base 7) in base 15?\nAnswer: 83662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 131808 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532*l + 1613 = -18071 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 169869021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -193*l - 50*l + 29160. What is the highest common factor of 72 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*r + 1 + 15*r - r + 22*r as y + v*r and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of 2*l**3\/3 + l. Let s(h) = -279048*h - 279061*h - 279050*h + 837146*h. Determine r(s(c)).\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 36*h**2 + 66*h + 12. Let f be p(0). Let l = -6 - -10. Solve -t + f = -2*b, -22 = l*b - t - 0*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3783\/391 or 9?\nAnswer: 3783\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**3 - 8*f**2 + 2*f - 2. Let d be t(-4). Let x be (1 + d)\/3 + 4. Suppose 4*k + 5*y + x = 85, 2*k - 4*y - 68 = 0. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/56*14\/4. Let t = 0 + 5. Let b = -146\/3 + 48. Sort t, g, b in descending order.\nAnswer: t, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(243) - ((sqrt(243) + 1 - sqrt(243)) + sqrt(243) + sqrt(243))) + 4 + 5 + -1 + sqrt(243) - 2*(-2 + sqrt(243)*-1)))**2.\nAnswer: 324*sqrt(3) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-5 - (2 - 5)) + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(-13)*r**(6\/11)\/r**(1\/9)*((r**(1\/3))**(-33\/4))**(-2\/81) assuming r is positive.\nAnswer: r**(-22271\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112466143 is divided by 3213318.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -15, 90 in increasing order.\nAnswer: -15, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 36 - 10*m - 63 + 17*m**2 + 34 - 3*m. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182*1*-2*240\/1680.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 0*i + 3*i)*(-2 - 1 - 2)*(-64 + 16*i + 64).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.2783 + 3.05. What is m rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(405) + 1)**2 - (4 + (sqrt(405)*3)**2 - sqrt(405)).\nAnswer: -2025 + 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 10451.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 395 = -72*a + 827 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6321 - -8874. Is f a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -s**4\/2 - 5*s**3 - 7*s**2\/2 - 2*s - 545. What is v(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 12, t: 3}. What is prob of sequence ta?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5 + -0.5. Let y be 1\/(-9) + (-620)\/126 + 5. Let j = 104\/693 - y. What is the nearest to 1\/2 in -0.2, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + sqrt(95)\/sqrt(5)*2))**2 - sqrt(19) - (sqrt(19) - (sqrt(931) + 2)**2).\nAnswer: 26*sqrt(19) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 2:14 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*k - 74*k - 69*k - 67*k + 1459*k**4 wrt k?\nAnswer: 17508*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 9:55 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/136 - (-2)\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5*k**3 + 17*k**2 - 333*k + 53. List the prime factors of q(15).\nAnswer: 2, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6504 - -886?\nAnswer: 7501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of s**5\/15 + 2*s**3\/3 - 7*s**2. Let b(m) = 12*m**2 + 11. Let j(i) = -4*b(i) + 11*q(i). Let x(v) = -2*v**2. Give x(j(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4240 and 292214864.\nAnswer: 1461074320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2500) - (-1*sqrt(2500) + sqrt(2500)) - -1*sqrt(900))\/((sqrt(180)*-3)\/(sqrt(81) + 2*sqrt(81))).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 3*v + 7. What is b(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -146, -1302, -4468, -10646, -20838, -36046?\n\"Answer: -167*z**3 - 3*z**2 + 22*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -167 - -283. Let m = z + 271. Let y = m + -205. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 15. Let j be h(9). Let d(n) = -13*n - 36. Let u be d(-4). Is 23 a factor of (-4)\/(12\/(-725)) - u\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2627*o + 5. Let p be t(-1). Let x = -1800 - p. Does 55 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60521011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.014, -1\/122, 0.4, 3\/7, -2, 4?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 2 = 3*t. Let c be (2\/2 + t)*-2. Let f = -2 - c. What is the second smallest value in -2, 2\/15, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 5*p - 1. Let g be 6\/(-18) - 5\/p. Which is the second biggest value?  (a) -2  (b) g  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 13*f**2 - f + 1. Let k(v) = 1. Let b(g) = -g + 5. Let a be b(7). Let s = a - -1. Let d(n) = s*k(n) + z(n). Calculate d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.37481 to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9376898*p. Let z(a) = -a**2. What is z(t(b))?\nAnswer: -87926216102404*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 840 - 614*u + 11*u - u**2 + 525 + 47*u + 88 with respect to u.\nAnswer: -2*u - 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -562094*i*t + 6127151*i wrt t?\nAnswer: -562094*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.39 + 1.88. What is the closest to -0.1 in k, 4, -1\/8, -2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-1 - (2 - 0))) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/3  (b) 21.1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15333135 + -2324?\nAnswer: 15330411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -75, -182, -343, -564, -851?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z - 3*z + 4*z)*(-1 - 2 + 4)*(839 + 525 - 4).\nAnswer: -2720*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -33*c**2. Give p(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 128  (b) 1\/19  (c) -13  (d) 0.3  (e) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - -12. Suppose -j - 3*u = -200, 3*u = -l*u + 9. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**4\/24 - w**2\/2 - 4*w. Let m(n) be the first derivative of c(n). Let h(l) = 3*l. Determine h(m(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -15200 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 173*h**2 + 1327*h + 176*h**2 + 6 - 350*h**2 as v*h**2 + x + p*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3271\/766 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 4*q = 81, -349*j = -344*j - 5*q + 65 + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 67*i**2 - 35*i**2 + 18 + 11 - 31*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 81 + (0 - (5 - 12\/3)). What is the highest common factor of o and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/13, 1.6, -408\/13, -4?\nAnswer: -408\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*4*((-562533)\/556)\/(-213).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*t - v - 16 = 48*t - 27*t + 6, -354*v - 2513 = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**2 - 6*z**2 + 0*z**2)*(-3*z**3 + 2 + 0 - 1).\nAnswer: 6*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 86\/7 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/sqrt(3)*3 - (sqrt(7) + ((sqrt(7) - sqrt(63)\/sqrt(9))**2 - sqrt(7))*-6).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/678807 and 40\/2187267?\nAnswer: 19685403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*s - 1273 - 3424 = 3322 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 5*o = -28, -5*h - 7 + 47 = -5*o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 6*a**2 + 3*a - 2. Let t be -1 + 1 - (-2 - -5). Is f(t) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2011212 - -30013?\nAnswer: -1321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 364 = -2*p. Let q(d) = -d**2 - 2*d - 2. Let w be q(-3). Is (w + 1)*p\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.07 and -893?\nAnswer: 62.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -265*j**3 + j**2 - 61*j - 265. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**5\/330 + 28*z**4\/33 - 464*z**3\/33 - 3494*z**2. Factor x(n).\nAnswer: 2*(n - 4)*(n + 116)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.714972 microseconds in seconds?\nAnswer: 0.000008714972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - v = -3512, -1756 = -2*p - 6*v + v. Let k = -468 + 484. Let c = p - k. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 0*j - 5*j = 0. Suppose j = -7*v + 595 - 42. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -27*l**3 - 6*l**2 - 5*l + 965. Let x(d) = 32*d**3 + 7*d**2 + 6*d - 966. What is -6*r(w) - 5*x(w)?\nAnswer: 2*w**3 + w**2 - 960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f + 12 + 3*f - 7 - 2. Let a(u) = -2*u - 5. What is 4*a(d) + 7*k(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -34405.3074 rounded to 0 decimal places?\nAnswer: -34405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 20 = -0*z. What is the least common multiple of z and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 6241*l**3\/12 - 79*l**2\/2 + l + 455. Factor d(x).\nAnswer: (79*x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 173 + -112. Suppose 3*j - 8*j - 4*p + 145 = 0, 2*j - x = -p. Let l = -11 - -38. What is the smallest common multiple of l and j?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-16)\/64*6\/13. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -8 - -12 - (-1 + 2). Let i be ((-40)\/15)\/((-2)\/t). Let b = -1 - -1. Solve -d - i - 1 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k - 8*k**2 + 6 + 3 + 9*k**2. Let r be m(4). Let c be -2*3\/6 - 3. Put -2, c, r in decreasing order.\nAnswer: r, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/375*5*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from buxip. Give prob of picking 1 u and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138364, -138203, -138042, -137881, -137720?\nAnswer: -137559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1860886.\nAnswer: 2, 277, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbbqqbbb. What is prob of picking 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40110 or 40101?\nAnswer: 40101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 + 71 = 2*n, 3*g + 4*n = 38560. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 16*c - 127. What are the prime factors of v(15)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56380069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 1. Suppose 0 = -a*h - 4 - 0. Is (50 + 2 - h)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20527289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.068 and 342.\nAnswer: 23.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(-3\/4))\/(b**9*b*b))\/((b*b**0)\/(b*b**(-1\/4)\/b*b*b)) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*f + 36, -3*x + 0*x + 60 = 3*f. Suppose 0 = 9*k - 5 - 31. Suppose 4*y + 5 = 5*y. Solve 0 = -3*q - 12, n - k*q + y = x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26212086*-2.\nAnswer: 52424172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 852961483 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 4 = 9*n + 3*d, -n - d - 14 = 0. Let v(a) = 11*a + 216. Let r be v(n). Solve 0 = 5*y - k + 4, 4*y + 5*k + 2 = -r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -s - 4*s - 2*n, -10 = 2*n. What is the least common multiple of s and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 26 = -t, -2*u - 11*t - 37 + 398 = u + 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1033643)\/(-967960) - (-27)\/(-24)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -711*u - 3549. Let w be s(-5). Solve -5*k + 5 = -2*n, 5*n - 40 = k - w*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {n: 2, i: 6, b: 1, r: 5, q: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and 408742508.\nAnswer: 408742508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -7*i + 3. Let a(s) = -41*s + 17. Let l(u) = -6*a(u) + 34*p(u). Let w(f) = -f + 3*f**2 - 2*f**2 + f. Give w(l(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 68.085 and -59257?\nAnswer: 59325.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 3*g - 1 - 2)*(-3 + 1 - 2).\nAnswer: -4*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k**2 + 5*k - 4. Let g(y) = -5*y**2 - 4*y + 3. Let b = 22 + -18. Calculate b*g(x) + 3*n(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**2 - 14 - 27 + 9 - 139*j**2.\nAnswer: -149*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59979, -239485, -538661, -957507?\nAnswer: -1496023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + -1. Let n = -76911\/7 + 11010. Let k = -23 + n. Which is the second biggest value?  (a) x  (b) -0.2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283785.363 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 78472.\nAnswer: 1\/19618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17237177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - -33. Sort 2, v, -2, 5 in increasing order.\nAnswer: v, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**2 - 1900 + f**4 - 2*f**2 + 953 + 961 - f - 2*f**3 in the form y + w*f**2 + u*f**3 + k*f + m*f**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2 - 26*d - 23. Let r be o(-12). Does 3 divide 1\/(266\/(-91) - -3*r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -283 (base 13) to base 7.\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -5*n**3 - 3*n**2 + 8. Let y be z(-3). What is the highest common factor of y and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 20*m**3 - m**2 + m - 1. Suppose 0 = -f - 3*z - 0*z - 14, -f + 2*z + 11 = 0. Let t be i(f). Let d = t + 3. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 314 + -512. What is the lowest common multiple of (-18)\/(-45) - l\/5 and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -93.0103 - -39317301\nAnswer: 39317207.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -22448 (base 12) in base 6?\nAnswer: -550532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-1 + 3 + -23 + 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 159 and 14814825?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + -4 + -20 + 21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a = 30*a + 135 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6443974 - -18621682?\nAnswer: 12177708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1690701 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 - 154 = 2*k. Solve -3*h + z - 2 = 0, 6*h = h + 5*z - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 829971?\nAnswer: 3, 92219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(245)*-3*6 - (sqrt(245) + sqrt(245) + ((sqrt(245) + -1*sqrt(245))**2 - sqrt(245))*-1))*-3.\nAnswer: 2646*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2441, -1 in increasing order.\nAnswer: -2441, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -15  (c) -0.6  (d) -3  (e) -1866\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**3 - 3 - 1\/2*x**2 - x. Let r(p) be the first derivative of 7*p**3\/3 + p**2 + 2*p - 11. What is -2*r(v) - 5*z(v)?\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 6. What is the closest to 2 in f, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 6 = -3*t - 19*w, -235*w + 2 = t - 238*w - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23515984*g**3 - 5206430*g wrt g?\nAnswer: -141095904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1640 - 8864 + 9083 + 9015)*(2*f + 2*f**3 - 2*f).\nAnswer: 21748*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o - 11 + 10*o + 12 + 15*o.\nAnswer: 19*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -70, 1, -0.044, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 11 = -14. Suppose -24 = -3*w - c*x, 2*w = x + 3*x - 6. Solve -3*i + 4 = -d, -5*i + 2 = -w*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 3*v**2 - 2*v + 4. Let m(n) = -n**3 + 4*n**2 + 3*n - 5. Let h(w) = -4*b(w) - 3*m(w). Let o be h(0). Is (3 - -134 - 4) + 1 + o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 276 divided by 92?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -34*q + 1. What is h(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*r + 15 = -39*r. Let q be r + 6 + (11 - 3). Suppose 0 = -a + q - 8. Solve 3*n + 20 = -5*p, n + 4*p - a = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38382906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 99 or 115?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10094 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-270))\/((-78)\/234)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 4, -39, -0.4 in descending order.\nAnswer: 4, 1\/2, -0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((56*(-12)\/(-48))\/4)\/((-2)\/2)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -3347466?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69 + 24*p - 231 + 77 + 23*p + 85.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 9*w + 3. Let o be t(0). Suppose -o = 3*r - 4*r. Does 12 divide 72*2\/6*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.25?  (a) -7  (b) 4\/3  (c) 0.03  (d) 2  (e) -0.4  (f) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 3*n + 8*n. What is the third derivative of -121*r**3 + 13*r**4 + 46*r**2 + 123*r**3 + 4*r**n wrt r?\nAnswer: 408*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 22 - -26?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5172, 3, 4, 14 in ascending order.\nAnswer: 3, 4, 14, 5172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 230, 291, 400, 563, 786, 1075, 1436?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*f = 38, 0*f - 140 = -5*x + 5*f. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pop when three letters picked without replacement from opppoopooo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 241847640 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 18*f + 158. Let w be j(-13). Let q = w - -255. What is the remainder when q is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -351 + 351.19. Let q = 2.81 + f. Which is the fourth smallest value?  (a) -2  (b) q  (c) 1\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2428277 is divided by 587.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 324 and 6?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of 493*j**9\/504 + 503*j**5\/60 - 156*j**2. What is the third derivative of l(q) wrt q?\nAnswer: 59160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y - 3. Let o be m(9). Let u be -4 + o\/(2*1\/2). Suppose -u*i + 106 = -19*i. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p**3 - 2*p**2 + 7*p - 8. Determine l(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 179103997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32953495 divided by 5.\nAnswer: 6590699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1632 and 722313?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-248)\/217)\/(0 + (-6)\/(-105)*5). Let w(v) = 8*v. Let h(y) = -y. Let a(i) = 3*h(i) - w(i). Let g(n) = -12*n. Determine o*g(x) + 5*a(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 12:41 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -930037, -929930, -929823, -929716, -929609, -929502?\n\"Answer: 107*o - 930144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 4*p + 60. Calculate the smallest common multiple of 66\/10 + p\/(-55) and 65\/52 + 1\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 17 = -11467*t + 11471*t, 4*t + 4*q + 20 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -3) + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/(sqrt(24)\/sqrt(3) - sqrt(8) - sqrt(8) - sqrt(8)))\/(sqrt(400)\/sqrt(5)))**2 + (sqrt(180) + (2*sqrt(180) + sqrt(180))**2)*2 + -4.\nAnswer: 12*sqrt(5) + 207109\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 3*k - 7. What is the units digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 2*a = 0. Suppose a = 4*k + 5*w - 185, -85 = -2*k + 2*w - 3*w. What is the common denominator of -1\/6 and (-16)\/k + 2\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -7*k**2 + 2*k - 1. Let b(a) = 14*a**2 - 5*a + 2. What is 6*b(w) + 14*d(w)?\nAnswer: -14*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1100\/660*(-7827)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -39?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v. Let q be b(1). Solve -6*p + q*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -1)\/(25 + -8 + -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1)\/(k*k**15)*(k*k\/k**1)**49 assuming k is positive.\nAnswer: k**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i - 7*i**2 + 9*i**2 - 3*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80)\/(-200)*375\/(-18)*6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4643*w**2 + 2*w**3 + 9282*w**2 - 4639*w**2 + 0*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (13\/5 - 1)*((-45885)\/(-3290) - 14)\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25526, -25467, -25408, -25349, -25290?\n\"Answer: 59*f - 25585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 48 + -49 - 8\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (-15 + -8) - (13 + 1) - 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kaw when three letters picked without replacement from {w: 2, k: 4, x: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/182 + 0)\/(136\/7140*60)\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - -1. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117663 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/33)\/(1 + 5\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281*s + 131*s + 148*s + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 43*q - 3. Suppose 5*i - 27 + 2 = 0. Let y be g(i). Suppose -3*s + y = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1009 less than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 61 = 4*h - h, 4*i = -583*h + 590*h + 64 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 3, 22, -2.\nAnswer: -27, -2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206.9669 - -0.0331. Let n = 206.99999857 - p. Round n to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 3)*(0*c**3 + 4*c + 3*c**3 - 6*c).\nAnswer: -12*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 92275366441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 15) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43298 + 43299. Suppose -m = -x - 4*m, 19 = 5*x - 4*m. Solve x + y = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -133 - -221. Let r be ((-204)\/(-54) - 2)\/(20\/90). Calculate the highest common divisor of q and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40300952 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56904087 is divided by 3161338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -5*h**2 + 15*h + 72. Determine a(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02783 + -2264.91.\nAnswer: -2264.93783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -g**4\/4 + 85*g**3\/3 + 1883*g + 384. Find the first derivative of w(t) wrt t.\nAnswer: -3*t**2 + 170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 59 + 91 = -52*y + 394, 4*y + 5*c = 18 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002852 rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9708e (base 16) in base 9?\nAnswer: 1142545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 + 1)*(23 + (-1638)\/72).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000416793 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1368)\/18)\/(-38)*3\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-102581)\/4)\/((-1)\/4). Suppose -3*m = -t - 43819. Round m to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 28 = b - 9, 2*z = 4. What is the closest to b in 0.2, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-18 - 7) + (4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -8*q + 7. Let g(k) be the first derivative of -k**2\/2 + k - 399. Give -2*f(r) + 14*g(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 453*t**2\/8 - 903*t\/4 - 3.\nAnswer: 3*(t - 4)*(151*t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of -3\/4*m**4 + 0*m - 21*m**2 + 0*m**3 + 23\/60*m**5 + 0. Find the second derivative of q(p) wrt p.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2399 and 4777.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2949645 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 42*p - 2094. What is m(-72)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -14 and 4289043038136.\nAnswer: 4289043038122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001618611911 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272 = 9*n + 263 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -42 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v**2 - 33*v**2 - 5*v**2 + 16*v**2.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, l: 2, r: 4, c: 3, w: 2}. Give prob of sequence cgcc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*z**(-2\/11)*z**6*(z**(1\/2))**(10\/13))\/(z**9\/z*z*z**(1\/10)*(z*z**(-2)\/z*z)**(-1\/12)) assuming z is positive.\nAnswer: z**(167\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, v: 5}. What is prob of picking 3 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t. Let o be (-10)\/(3\/6*-2). Suppose -o*g + 8*g = 0, -2 = -h + 4*g. Let i(y) = -47*y + 22*y - y**h + 25*y. Determine i(c(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2745 - -19162\/7. Let o = -1334 + 9297\/7. Calculate the common denominator of m and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/7, 2\/55, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1792)\/24)\/(-14)*(-349)\/(-8376).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 4*z - z - z. Let c(y) be the third derivative of -y**4\/12 + 10*y**2. Determine n(c(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 399339 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 137034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1922, -1920, -1918?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/1)\/(10\/165). Let p = -2 + x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 2*o + 0 + o**2 - 1\/2*o**3. What is the derivative of i(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -373300 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6216573179.0000601 + 6216572842. Let z = g - -337. What is z rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 68*d**2 - 8*d - 5. Is i(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 5*c**5 + 8230*c**4 + 4568715*c**3 + 883668670*c**2 + 15617963060*c - 54930930360 = 0.\nAnswer: -542, -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -6, 0*w = -2*x - 5*w + 8. Calculate the common denominator of (x\/(-4))\/(5\/28) and -6*(2 + 26\/(-9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/10 + 134\/10. Let v = 19 - w. Solve -g = -v*r + r - 10, g + 2*r = 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)*2)\/sqrt(5)*-1.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*z = 30*z - 342 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1006592129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/10 + (-4)\/10. Let o(m) = -r + 1 + 2*m**2. Let d(q) = 2 - 2*q - 2. Give o(d(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -1048?\nAnswer: 7\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53477599 take away -7?\nAnswer: 6.46522401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ynyzzyyyyyyzyypyynyn. Give prob of sequence py.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 192.96237 months?\nAnswer: 0.160801975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3 + sqrt(13) + sqrt(208) + -5.\nAnswer: -4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**3 + 36*a**2 + 35*a + 55. What is y(-11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.281 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298*z + 299*z = 13. Let s = z - 16. Let j(u) = -u**2 + 8. What is j(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from sddhqas.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9966070.\nAnswer: 2, 5, 19, 52453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*u**3 + 592*u**2 + 26166*u wrt u.\nAnswer: 24*u + 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 431680 and 8?\nAnswer: 431680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}