{"text":"Question: What are the prime factors of 54766?\nAnswer: 2, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 6) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/2002 and 89\/76.\nAnswer: 76076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003757775 to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0 - 1\/210*o**7 + 0*o**5 + 10\/3*o**3 - 6*o**2 + 0*o + 0*o**6 + 0*o**4. What is the first derivative of q(h) wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 13*k**2 - 4. Let c be i(-14). Differentiate -c*r**2 + 192*r**2 - 27 - 88*r**3 wrt r.\nAnswer: -264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -364*a**2 - 7*a + 3. Calculate p(1).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 8*n + 102 = 0. Let u = n + 190. Suppose r - 36 = -y, 2*y + 2*r + u = 6*y. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/2212 and 33\/553?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00115893 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12*(7\/35)\/(8\/10). Find i, given that 5*i**w - 8*i**3 + 3*i + 3 + i**2 - i**2 - 3*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8392 + 8391.9. What is the closest to s in 2\/19, 4\/3, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/35)\/((-8050)\/3381).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -22. Let p(i) = -6*i - 15. Let t(v) = -v - 3. What is n*p(r) - 11*t(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-99)\/22*488\/(-4) is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.09 and 0.0257?\nAnswer: -0.130813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/3 + 38*g**2.\nAnswer: 2*g**2*(g + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 4*i - 1. Let w(m) = 13*m - 5. Let x(h) = 21*c(h) - 6*w(h). Let z(v) = -5*v - 9. Give 4*x(t) + 5*z(t).\nAnswer: -t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-8))\/(9\/(-24)). Let w = 6 - 8. Let u be w - (33\/(-6) + 1). Put u, i, -4 in decreasing order.\nAnswer: u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((9\/(-18))\/(1\/(-2)))\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 9*m. Let s(k) = -168*k - 44. Calculate f(s(x)).\nAnswer: -1512*x - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 3*w - 3. Let r be f(-4). Suppose z - 7 - r = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.86 - 0.36. Let u = -1.4425 + r. Round u to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 4, k: 7, x: 5}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7566 and 1014221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5251.8 to the nearest 10.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.40758 to two dps.\nAnswer: 15.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (215\/(-86))\/(3*(-4)\/(-9))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*s + 63*s + 4992. Suppose 4*x = 5*b + 269, -2*x = 2*b - 3*b - 55. Let g = b - s. Solve 3*a + g = y, a + y + 0*y = -9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2. Let l(j) be the second derivative of j**4\/12 - 32*j. Let b(q) = -5*l(q) - 2*x(q). Let p(c) = -12*c**2 + 1 - 1 + 4*c**2. Determine b(p(z)).\nAnswer: -192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 121127 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/7 - 8\/28. Suppose -p*f + 69 + 43 = 0. Suppose -5*x + z + 80 = -f, -4*x + 94 = 3*z. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00135729533 to 7 dps.\nAnswer: 0.0013573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -32 times 12\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*k - 2*k - k)*(-k + k - k) - 15*k**2 - 7*k**2 + 35*k**2 as g*k**2 + o + y*k and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 712\/7, -3\/2, 7\/3 in descending order.\nAnswer: 712\/7, 7\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (2 - -12) + -27 + 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdi when three letters picked without replacement from dihpduudubdd.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.13 in 3, 0.1, 0.0667?\nAnswer: 0.0667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 36391391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6473781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 101 = -41. What is the highest common divisor of z and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 49 = 2*j, -2*u = -3*j - 0*u - 46. Let t = j + 18. Let b be ((-1)\/3)\/(t\/(-54)). Solve -15 = b*z - 8*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4786 + 8889. List the prime factors of u.\nAnswer: 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -19  (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51253, -51603, -51951, -52297, -52641, -52983?\nAnswer: -53323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4282547207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 4)*(3 + 4 + 1) - 4 + 3 + 2)*(4*u**2 - 2*u**2 - u**2) + (u + 6*u - 3*u)*(-6 + 3*u + 6).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 277155 divided by 27?\nAnswer: 10265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 3606416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -10*g + 14. Let n(o) = -7*o + 9. Let l = -304 - -373. Let x be 23\/l + (-14)\/(-3). Calculate x*q(m) - 8*n(m).\nAnswer: 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {e: 1, k: 1, s: 4, t: 2, a: 2, n: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**3\/4 + 48575*c**2 - 2359239148*c - 28317865008 = 0.\nAnswer: -12, 97156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 627, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 62 = -3*o. Suppose -3*p + 4*p + 3*w = -10, 2*p = 5*w + 35. What is the remainder when 1*3*(-42)\/o is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + (sqrt(32)*-1 + 2 + sqrt(192)\/sqrt(54))**2.\nAnswer: -32*sqrt(2)\/3 + 218\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -223*h**2 + 7*h. Let s(p) = -112*p**2 + 3*p. Give 3*j(r) - 7*s(r).\nAnswer: 115*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 1284*u + 11249. Give a(-10).\nAnswer: -1591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*s + 12 = 0, -3*t + 3*s + 2 = 11. Let k = t + 20. What is the greatest common divisor of 144 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2366 + 2382. Solve -5*g + 2*n + 19 = -1, -3*g + 2*n + d = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g + 2. Let t be n(-2). Let v(c) = 2*c + t*c - 2*c - 32 - 6*c. Let l be v(-17). What is the greatest common divisor of 175 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31612173 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 110 + 80177?\nAnswer: 80287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 510965286.\nAnswer: 2, 3, 13, 23, 284819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -13. Suppose -q*b + 38 = -4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -593\nAnswer: -4\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/3))**36*d**(-10\/3)\/(d\/d**(2\/7)*d) assuming d is positive.\nAnswer: d**(902\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6212, 12304, 18186, 23774, 28984?\nAnswer: 33732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3472 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 12  (b) -0.07  (c) 42  (d) 0.3  (e) -2\/11  (f) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 777706439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/6)\/((3\/9)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 122720 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 3:53 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 774*y**2 + 769*y**2 - 2011*y**2 + 682*y**2 + 2.\nAnswer: 214*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 808901.\nAnswer: 179, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a. Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r + 3*r - 2*r + (2*r - r - 2*r)*(1 - 4 - 5).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 323858 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -7 - (-176 + 132)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -195, -403, -611, -819, -1027?\n\"Answer: -208*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n**2 + 1 - 1)*(181 + 148*n**2 - 54*n**2 - 95*n**2 + (-2 - n + 2)*(n - 3*n + 0*n) + 0 + n**2 + 0) as h*n + r*n**2 + j*n**3 + v*n**4 + t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3658732 and 551936.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110100101100010 (base 2) in base 14?\nAnswer: 9b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 530722800 by 10614456.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -882 - -885. Solve -3 = -2*y - j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - w**2 + 0*w**2)*(6*w - 4 + 4) + 0*w**2 + 0*w**2 + 2*w**3 - 2*w.\nAnswer: -16*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1346435, -5385773, -12118011, -21543149, -33661187, -48472125?\n\"Answer: -1346450*r**2 + 12*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 0*w - 1. Let x(a) = 8*a. Let b be x(w). Let h be 3 + (b\/(-2) - 2). Solve -3*v = 3*j + 3, -j + 4*v = 3*v + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6913 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1 + sqrt(3) + 5 - (-1*sqrt(18)\/sqrt(2))\/sqrt(3).\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 380412 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by 3185.\nAnswer: -3\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + g = 5, v - 1043637*g + 130 = -1043631*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9020)\/165)\/((-136)\/(-102))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (0 - (-8 + 13 + (2 - 0)) - 62)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 2*x + 4 = 8, -3*h = -3*x + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**3 + 5*n**3 - n**3)*(19*n + 10*n - 48*n) + 0 + 0 - n**4 - 6*n**4 + 199*n**3 - 199*n**3.\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2874*y + 20 = 2878*y, 3*y = 61*i + 816 + 358 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -60\/203 and 38\/301.\nAnswer: 8729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/28 - -11\/84. Let f(x) be the second derivative of -2*x + 0*x**3 + 0*x**2 + 0 + i*x**4. Let d(y) = y**2. Calculate f(d(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 327600 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 8:31 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 192, 390, 650, 966?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44396923403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -12. What is the units digit of (-50)\/8*8\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/6138 and 23\/18.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -88, -0.3, -1, 1\/2, 0.3, -56368?\nAnswer: -56368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/583 and 49\/424.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 3428496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 65890223 to the power of 1\/2, to the nearest integer?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -23 + 13 + 3 + (-15 - 3)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (6 - (10 + -9 + -7)) + -5 + 5 + -39\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3479  (b) 5  (c) 12.81  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 12068, 12086, 12122, 12176?\n\"Answer: 9*g**2 - 9*g + 12068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4*m + 8 = 3*h, 4 = 3*h - 4*m. Let y be 4\/(-14) + 100\/7. Let i = -10 + y. Solve -2*t + 12 = -h*z, 2*t + 3 = -i*z - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4348955l to millilitres.\nAnswer: 434.8955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -106*w**6 - 25*w**5 - 35639*w**2?\nAnswer: -12720*w**3 - 1500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 193465 divided by -4\nAnswer: -193465\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 - 17. Factor -8 + 6*j + 7 + 1 + 3*j**s.\nAnswer: 3*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n + 2*n + 4*n - 3)*(-5*n + 16*n - 7*n).\nAnswer: 4*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -24 - 9343?\nAnswer: -9367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31311.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2621669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/36 and -53\/860229.\nAnswer: 3440916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxxxvxvxxvx?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3003  (b) 2  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -a**6\/20 - a**3\/2 + 2*a**2 + 1. Let i(n) be the second derivative of h(n). Find the first derivative of i(x) wrt x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -162\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23\/418 + -9\/38. Which is the closest to -9?  (a) -3  (b) -2\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -0.05966, -7 in increasing order.\nAnswer: -7, -3\/4, -0.05966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**3 + 32*p**2 + p - 19. Suppose 2*u - 5*v - 10 = -57, -3*u = 5*v + 33. What is y(u)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -11*z**2\/2 + 3*z - 342. Let n(r) = -5 + 4 + 1 + 6*r - 2. Suppose -5*g + 11 = -14. Give g*n(v) + 3*j(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 988*d - 568101. Calculate u(575).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, y: 2, s: 1, e: 7}. What is prob of sequence ef?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dkdk when four letters picked without replacement from dkdddkd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -4176.358377.\nAnswer: -4175.958377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-173 - -147) + (1 + -1 - (-7 + 0))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001394619 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of 107*a + 1\/2*a**3 - 3\/2*a**4 + 0 + 5*a**2. What is the second derivative of z(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 1, -5, -11, -17?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2. Let q(v) = v + 772 - 772. Calculate -p(z) - 2*q(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, f: 3}. What is prob of sequence ffuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**3\/6 + p. Let w(n) = n**2 - 3. Let c = 10 + -13. Let i(o) = 2*o**2 - 4. Let z(j) = c*i(j) + 4*w(j). Give z(r(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**5\/60 + 25*x**4\/24 - 13*x**3\/3 - 34*x**2 - 51*x. Factor j(g).\nAnswer: (g - 1)*(g + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5770270 by -5.\nAnswer: -1154054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 5:16 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 235261, 470572, 705883?\n\"Answer: 235311*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-400)\/(-160))\/(2145\/(-52))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k + 4*k = v + 5, -2*k = -4*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(448) + (sqrt(448) + -1 - sqrt(448)) + -1 + (sqrt(448) - (sqrt(448)*-1 + -3)))**2.\nAnswer: 48*sqrt(7) + 4030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9.64 - 0.84. Let j = 8.79667 - a. What is j rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8\/15 + 1\/3. Let s be 267\/39 - (-196)\/(-28). Sort s, 7, o, -1.\nAnswer: -1, o, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s + 0*s + s)*(-3*s**2 + 0*s**2 - 2*s**2) - 3*s**3 - 3*s**3 + 9*s**3 in the form f*s**2 + i*s + w*s**3 + t and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/12)\/((-2)\/(-72)). Solve 2*l - 6 = 3*p - 0*l, -3*l = -d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 11 + 0 + (-15 - -23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 3 = -2*c, 2*x - 6*c - 10 = -c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 42\/(-30) + (-6)\/10 - 2. Suppose 0 = 2*g + 2 + 2. Sort l, -1, g in increasing order.\nAnswer: l, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4*6\/48)\/((-110)\/(-836)))\/(4\/20)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.46 - -8.46. Let v = 27 - 27. Put v, 76, 4, s in descending order.\nAnswer: 76, 4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 4500138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2\/7 - 2481396*p\/7 - 513110509068\/7 = 0. What is p?\nAnswer: -413566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -156 + -246432?\nAnswer: -246621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 1435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4461 is divided by 346.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 2*m - 5)*(m**2 + 3*m**2 - 5*m**2) + 10*m**3 + 8*m**3 + 3*m**3 to the form l + s*m**3 + p*m**2 + c*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 3:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -87\/5639 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -4. Suppose -3*d = -m*t + 12, 0*d - 4*d = 2*t + 16. Suppose -5*g = -t*g - 80. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 825 by 3.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3411 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 11\/74  (c) -873\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/7)\/(l*l**(-2\/7)*l))\/(l**(2\/3))**26 assuming l is positive.\nAnswer: l**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003556987 rounded to six dps?\nAnswer: 0.000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1 take away 1687386.2611?\nAnswer: -1687388.3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 9:57 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4\/(-112))\/(342\/288))\/((-2610)\/609).\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from epepeeee. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**(17\/5)*r**(-21) assuming r is positive.\nAnswer: r**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26541*w - 130*w**3 - 26541*w + 41 - 41 - 13*w**3 + 4*w**3 - 3*w**3 + 0*w**3 + (1 - 2*w - 1)*(0*w**2 + 3*w**2 - w**2) - 4*w + w**3 + 4*w.\nAnswer: -145*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -q + 3 - 4, -5*x = -5*q - 5. Calculate the remainder when 31 - (0 + q\/1) is divided by (1\/(-7))\/(412\/(-14420)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -7*r - 11. Let u be a(16). Let s = u + 123. Suppose -9*m + 2*m + 1162 = s. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -20289974.529 and 0.5?\nAnswer: 20289975.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, s: 11, t: 2}. Give prob of sequence sxt.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-23282)\/40 + (-4)\/20. Let r = 21253\/36 + c. Find the common denominator of 14\/9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, -10, -22, -34, -46?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**2 + 544*j + 5699. Give c(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 12:13 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -10*s**2. Let c(d) = -d**3 + 6*d**2 - 5*d + 13. Let z(b) = -b**3. Let x(m) = c(m) - 2*z(m). Let g be x(-7). Determine l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1331297.\nAnswer: 11, 37, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1302241?\nAnswer: 19, 68539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -p**5\/60 - 2*p**3 - 9*p**2. Differentiate b(a) with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6158283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (4 - (-10 + 9 + -2 - 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1679*a**2 + a**3 + 1679*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -251 by 147.\nAnswer: -251\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -203*p - 129. Let o be d(-29). Let y = o + -873. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 786*j**2 + 746*j**2 - 651*j**2 + 1210*j**2.\nAnswer: 2091*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 10 = -6. Let a be ((4\/(-12) - 4) + t)*-6. Let h = 11 + -7. Solve i - a + h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1136 + -1609. Let i = 472.9998756 + s. Round i to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 9, t: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - -1)\/((-11)\/(-11)). Let k = c - -2. Let v(x) = 0*x**2 + 3*x**2 + 2*x**k - 6*x**2. Let y(s) = -18*s**2. Give v(y(r)).\nAnswer: -324*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 4928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**3\/6 - n**2 - 3*n. Suppose -c - c = 4*s - 10, -2*s - 3*c = 5. What is r(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 12) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 88763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14068568.\nAnswer: 2, 43, 40897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-9) - (10 - (14 - 5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346640 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide ((-52)\/(-7))\/((-28)\/(-9898))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2057)*-3*-1 + -1 + (-3 + -3 + sqrt(2057))**2*-6.\nAnswer: -12559 + 825*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/30)\/((-1)\/102). Let p be a - (4 - (4 - -1)). Suppose s - p = -5*g, -4*s + g = -47 - 9. Is -0.1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k**3 + 3*k**3 - 7*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -1\/15*w**3 - 2\/5*w - 3\/10*w**2 - 5. Suppose s(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**6\/360 - a**5\/20 + 5*a**4\/12 + a**3\/3 + 5*a. Let o(b) be the second derivative of w(b). Is o(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + (-7 - 1))*8\/(-32). Solve 2*k + 6 = -d + 3, -f*k = -d + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 1306*h**3 - 5*h**2 + 18*h - 2. Let c(q) = q**3 - 2*q + 1. Let l(n) = -2*c(n) - f(n). Find the third derivative of l(i) wrt i.\nAnswer: -7848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2236686 and 2445.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6192, 12390, 18596, 24810, 31032, 37262?\nAnswer: 43500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 - 9 = -3*y - 5*s, -s = -3*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3019035, -6037921, -9056809, -12075699, -15094591, -18113485?\n\"Answer: -n**2 - 3018883*n - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -13*x**2 - 7*x**2 + 7*x**2 + 3*x - 3*x + 14*x**2. Suppose -3*t = -3 - 6. Let p(l) = 2*l + t*l - 6*l. Give p(w(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*b + 46*b - 471*b.\nAnswer: -516*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4105531 (base 6) to base 12.\nAnswer: -952a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-127)\/(-6))\/1 - (-1 - 50\/(-10)) and 3\/566.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170257979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 13704 and 13755 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5*q - 1355 - 700, -4*q - p + 1655 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 158\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) 5\/4  (c) 0  (d) 3  (e) 0.1  (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11294.2 - -11294. Which is the nearest to 0.2?  (a) -46  (b) 6  (c) -2  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 21  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2. Let o = 2 + w. Which is the closest to 2\/3?  (a) 0.4  (b) o  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 996887729 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8.55 + -0.4\nAnswer: -8.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**2 - 8*n + 3. Let q be i(-6). Let z = q + 41\/2. Let a = 7123\/115 + -311\/5. What is the common denominator of z and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/27238 and (-42)\/(-10)*(-7 + (-414)\/(-72)).\nAnswer: 54476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21.679 from -186.1186.\nAnswer: -164.4396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/6 - (-1)\/3. Let c(u) = -u**3 - 16*u**2 - 30*u - 26. Let g be c(-14). What is the third derivative of 3*k**l + g*k**3 - k**3 - 5*k**3 wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -z + 6 - 1, 0 = -4*g + 3*z - 15. Suppose g = -p - 56 - 88. What is the remainder when (-4)\/(-10) + p\/(-15) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(4\/5))\/(z*(z\/z**(-4\/13))\/z) assuming z is positive.\nAnswer: z**(32\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 104085.8 to the nearest one hundred.\nAnswer: 104100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 3*d - 2889. Suppose 344 + 226 = 3*k - 2*n, 5*k + n = d. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 3*w + 64 = -2*q, 0 = 5*w + 2*q - 80. Let b = 38 - w. Find the common denominator of b and -109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-85)\/(-34) + (-134)\/(-4). Let l(g) = 2*g**2 - 23*g - 75. Let s be l(21). What is the greatest common divisor of s and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21 + 363*w + 922*w - 21 + 1184*w**2 wrt w?\nAnswer: 2368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**10*j)\/j)\/(j*j**10*j*j*j)*j\/j**(-17)*j**(-20) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -41, -158, -329, -542, -785, -1046, -1313, -1574?\n\"Answer: 2*k**3 - 39*k**2 - 14*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*o + 33*o - 57 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*z**2 - 2)*(-39*z**2 - 10*z + 10*z) + (-4*z**2 + z**2 + 5*z**2)*(96*z - 21*z**2 - 96*z).\nAnswer: -120*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 441.2 times 37499\nAnswer: 16544558.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 31\/2 of a millisecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 414993 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/12 and (-3)\/(1*42)*(-1232)\/1632.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6196*v**3 + 12249*v**3 - 6057*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggsrsugusgg. What is prob of sequence ss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*q - 29*q + 42*q + 46*q.\nAnswer: 137*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 13*m = -24. Suppose -m*z - 4*z = z. Solve 3*x + z - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 3. Suppose 3*w + 15 = 3*g, 0 = 4*w - 0*w + 8. Let j be (1\/7)\/(g\/(-9)). Which is the closest to -2\/5?  (a) -2\/3  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*y = -445 - 619. Suppose -16 = y*t - 60*t. What is the closest to 0 in 2\/21, 1, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 115 = 15*v. Suppose -11 - 9 + v*b**2 + 2 - 7 - 20*b = 0. What is b?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 515505268 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**5\/3 + 53373*u**4 - 1601281*u**3\/3 + 480387*u**2 = 0.\nAnswer: -160129, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13.3 - 2.7. Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.4 + 0.6. Let t = -12 + w. Put -5, 2, t in decreasing order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32418 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 15 - 15)*(-1 + 0 + 3)*(-9 + 14*m**3 + 9).\nAnswer: 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 + 0)*((4 - 5 + 0)*(4 - 4 + 2) - 4 - 2 + 4 + 8 - 1 - 6 + 1 - 35 - 6)*(0*v - 3*v + 4*v) to t + w*v and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*j**2 - 11*j**2 + 0*j + 2 - j - 118*j**4 + 4*j**2 to i*j**4 + l + v*j + b*j**3 + c*j**2 and give i.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/9)\/w**(-4))\/(w*w*w\/w**(-3)*w**(-5)))\/((w**(-3\/2)*w\/w**(-4)*w*w)\/(w**(-2\/7))**(6\/7)) assuming w is positive.\nAnswer: w**(-2519\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((8 - -1) + -9 + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(((w*(w\/((w**(-2)*w)\/w*w))\/w*w)\/w)\/w))**26\/(w\/(w\/w**1))**10 assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -94686 divided by 6\nAnswer: -15781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 633 + -618.86. Let m = 14 - u. What is m rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 24*m + 80 = 23*m, 40 = c - 5*m. Is 4 a factor of 127 - 10\/4*c\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-5*sqrt(35)*1*2)\/(sqrt(140)\/(sqrt(10)\/sqrt(2)) + sqrt(28)))**2.\nAnswer: -20*sqrt(5) + 189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27245 = 1410*v + 8915 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 82  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 23*a. Let d(u) be the second derivative of -34*u**3\/3 + 167*u - 2. Calculate -6*d(i) - 17*s(i).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1040.0399 plus 56673?\nAnswer: 55632.9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 26. Let g = 13298 - 13298.1. What is the third biggest value in d, -1\/2, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7381*r - 7605*r + 3668*r in the form z + q*r and give q.\nAnswer: 3444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2*v - 17 = 0. Suppose 0*q - q + 3*l - v = 0, -q + 2*l - 17 = 0. Let i = q - -30. Calculate the remainder when 48 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**2 + 2*a**3 + 2*a**4 - 9*a**2 + 2*a**3 - 8*a - 1 + 9 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47675044783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q**2 - 11 + 13 - 2*q**3 + 4 + 2*q**2 + 10*q = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 527718.8us in milliseconds?\nAnswer: 527.7188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - f - 16 = 0. Suppose 6*q + 89280 = 47*q - 5*q. Does 31 divide (f\/(-5))\/(32\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4\/5  (b) 6\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/5)\/(1\/(-5)). Suppose -11 = -4*q + r. Let b be 6\/(q + -5) + 6. Solve 4*c = -2*p - c + 25, p + b*c - 14 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0394397 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 9*r + 3. What is y(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 363913398 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 14*o + 4. Let q be a(-14). Suppose -5*t + q + 1 = 0. Does 18 divide 0 + 2 - t\/((-4)\/152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/21)\/((48\/18)\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -179 + 213. What is the remainder when 46 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32121 - -1?\nAnswer: 32122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -4 - (4\/12)\/((-5)\/52395).\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 26 = 3*c, 5*c - 4*c - 42 = -5*p. Suppose -c*b + 220 = -7*b. Calculate the remainder when 105 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - 53. Let n = 19 - t. Which is the third biggest value?  (a) -1\/5  (b) n  (c) 2  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 5, 4 in descending order.\nAnswer: 30, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3980 is divided by 230.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 61*o**2 - 248*o + 13. What is x(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6274\/12 + (-10)\/(-60) is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 13. Let k = 849 + -679. Suppose -132*q + 149*q = -k. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 115*w**3 - 27*w**2 + 7. Let d(p) = 57*p**3 - 13*p**2 + 4. Let j(r) = -7*d(r) + 4*s(r). Find the third derivative of j(z) wrt z.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (264\/(-17226))\/((-18)\/243)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of o + 3\/2*o**2 + 0*o**3 + 1\/6*o**4 + 0. Differentiate v(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38\/104)\/((-168435)\/(-11820))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 10:07 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 975.6, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108689?\nAnswer: 7, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564135133.\nAnswer: 89, 6338597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-5 - 1)) + (19 - 20 - 21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6, -9\/5.\nAnswer: -4, -9\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**4\/3 - a**3 + a**2. Let g(v) = 1. Let b(t) = -t - 4. Let q(x) = b(x) + 5*g(x). Give -p(y) - 6*q(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -204351 (base 6) to base 16.\nAnswer: -40ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -2\/19, -4, -5, 0, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17577 is divided by 150?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t\/t**(-3))*t)\/t**(1\/4))\/(t**(-4)\/(t*t**1*t*t)))\/((t*t**1)**12\/(t**(-1\/2))**(-6)) assuming t is positive.\nAnswer: t**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -543 (base 13) to base 14.\nAnswer: -484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 107 = 2*p - 13*p, 20915*p + 5*d = 20911*p + 56 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -39, -8041 in descending order.\nAnswer: -11, -39, -8041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*b*c*j**5 + 2*b*c - 5*b*j**2 + 4*b + 1915*c*j**6 + 87*j**2 + 2 wrt j?\nAnswer: -420*b*c*j**2 + 229800*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 11481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9405 and 8778.\nAnswer: 131670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2707*v - 6 = 2705*v + 4*r, 0 = -v + 4*r - 5 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 44925.149 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 36 in -1, 5, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15)\/sqrt(5) + 0 - (sqrt(363) + 0)) + -1 + (-2*sqrt(3)*-3 - sqrt(21)\/sqrt(175)))**2.\nAnswer: 42*sqrt(3)\/5 + 1348\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, h: 8, k: 5}. Give prob of sequence kki.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 divided by -693359?\nAnswer: -56\/693359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 2*l + 1428 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 30600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1043 + -1435452?\nAnswer: -1434405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*d + 1)*(-1 + 2 - 9) - 4 + 4 + 8*d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -q + 2*q**3 + 28 - 5*q**3 - 29 as k*q + i + h*q**3 + v*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = n + 7 + 5, -5*u = 25. Solve -n = 6*v - 2*v + m, 3*v - 5*m + 29 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9414939089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2310 and 4795590?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1987224?\nAnswer: 2, 3, 31, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**4\/4 - 83685*f**3 - 9338241753*f**2\/4 - 9337153878*f - 7002677124 = 0.\nAnswer: -55788, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 175098197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73985*v**2 + 20*v + 376.\nAnswer: 147970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127198326.\nAnswer: 2, 3, 23, 877, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -3\/7, 22\/229, 37\/2, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0487967 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62789 or -62787?\nAnswer: -62789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 8994 and 8993 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**6\/60 - s**5\/10 - s**3\/3 - s**2. Let l(m) = -m. Let p(d) = 6*l(d) - n(d). Factor p(w).\nAnswer: -2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/(-32) + 2 + (-4)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 12, t: 3}. What is prob of sequence itt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -1435*o**4\/4 + 4834*o - 6035. What is the derivative of l(m) wrt m?\nAnswer: -4305*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*m**2 - 113*m**2 + 273*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a - 2*a + 252. Let y(s) = -s**3 - 4*s**2 + 6*s - 4. What is the remainder when a is divided by y(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202781612 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 460 by -115.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.56178741 + -147?\nAnswer: -144.43821259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101774.3 kilometers to centimeters.\nAnswer: 10177430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*m - 0*y - 384005, 0 = 3*m - 4*y - 383980. Round m to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2\/7 - 50241*x\/7 - 8418136\/7 = 0.\nAnswer: -167, 50408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175271?\nAnswer: 53, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 10413526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 22477397 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 4:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 10 = -3*b. Let n = 11 + b. Suppose c = -3*c + n. Solve -v + 0*v = -c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/5 - 91*f**2 - 458*f\/5 + 912\/5.\nAnswer: (f - 456)*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118374 divided by -1352.\nAnswer: -59187\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -8.4384, 1\/11, 2\/7 in descending order.\nAnswer: 2\/7, 1\/11, -8.4384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -481 and 85740.\nAnswer: -41240940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 16*p**2 - 4*p + 2. Let q(h) = 19*h**2 - 5*h + 1. Determine 5*b(f) - 4*q(f).\nAnswer: 4*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -38 - ((-72 - 26) + 18) - 120\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16480 is divided by 1829.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*t - 2*t - 28*t to the form h + c*t and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/1*10\/(-8). Find g, given that g**2 + 3*g - 5*g + c*g = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2622005, -2621904, -2621803, -2621702, -2621601, -2621500?\n\"Answer: 101*z - 2622106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 484 - 478. Calculate the lowest common multiple of 4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqee. Give prob of sequence qq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25619 is divided by 12702.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13749*u**3 - 8*u**2 + 235*u?\nAnswer: -82494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2 - w - 3. Let p(i) = 1 + 1 - 3 - i. Let g(n) = -42*n - 15 - 101 - 17 + 33*n. Let x be g(-15). Determine x*p(l) - s(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27794240791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 57992.36 to the nearest 10.\nAnswer: 57990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 263. Let n = w - 233.97674. Round n to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (752\/28)\/(3500\/6125).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1 + 6 - 5. Let d(q) = -3. Let w(i) = -3*d(i) - 4*s(i). Let f(o) = -o. Determine f(b) + 3*w(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + -5. Let f = -0.41506 - -1.41506. Which is the third smallest value?  (a) q  (b) 17  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -b - 0*b. Let o(l) = 2*l**4 - 9*l**3 + 11*l**2 + 11*l. Let x(t) = -t**4 + 5*t**3 - 6*t**2 - 6*t. Let k(a) = b*o(a) + 11*x(a). Factor k(n).\nAnswer: n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/5313 and -8\/78771?\nAnswer: 1811733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 55 = 4*a + 1, -5*a = -5*y - 255. Calculate the remainder when (-2370)\/y - (-4)\/(-10) is divided by 10\/25 - 58\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4514.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-28)\/(-252) + (-1)\/9. Suppose 34 = 4*o + 5*n - 20, a = 5*o + 3*n - 74. What is the remainder when 159 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -953851.000016 - -953840. Let l = t + 11. Round l to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1.4. Let r = 0.3 + -0.8. Let f = p + r. Are f and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4\/5, -3, -20, -0.3, 7, -1 in ascending order.\nAnswer: -20, -3, -2, -1, -0.3, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.92 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -196 - -190. Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2905 + 0?\nAnswer: -2905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*i**3 - 25*i**3 - 23*i**2 + 40*i**3 wrt i.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2046\/((-1276)\/(-696)*9)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + sqrt(612)*-3 - (-1 + (sqrt(612)*-3 - sqrt(612)))).\nAnswer: -30*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, c: 2, v: 5, b: 4, t: 1}. Give prob of picking 1 t, 1 b, and 1 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11 + (4505749\/7 - (-80)\/140). What is u rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16338.145 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 2*q + 7163*q**3 - 7162*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1308050 is divided by 81741?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence klkh when four letters picked without replacement from zchczlggkzzgz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 326 divide 838044739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 397 - 397 + 32*k. Let v(b) = 5*b**2 - 6. Let w(j) = -j**2 + 1. Let r(g) = 2*g + 9. Let s be r(-5). Let o(p) = s*v(p) - 6*w(p). Give o(n(u)).\nAnswer: 1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 1032?\nAnswer: 5\/1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 2:07 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 31 + 13 + 31 - 2*o - 93 + o**2. Let v be w(-4). Solve -1 + v = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1096935 divided by 21\nAnswer: 52235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) - 2*2*sqrt(119) - -1*sqrt(119)*3)\/(sqrt(42)\/((sqrt(6) - (sqrt(60)\/sqrt(5))\/sqrt(2)) + sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 3630\/10651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11\/7 in 0.71, -4, -0.0605, 2\/13?\nAnswer: -0.0605","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 2*g + 1. Let r be a(-2). Let y be 4 - -4*35\/(-10). Let z be (-1)\/((y\/(-15))\/(26\/(-3))). Calculate the highest common divisor of r and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -t**4\/12 + 2*t**3\/3 + t**2 + t. Let p be s(4). Suppose 0 = p*g - 5*g + 21. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/3)\/((-9)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/4229 - 135205\/173389. Find the common denominator of r and 16\/7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1489, -2785, -4953, -7999, -11929, -16749, -22465?\nAnswer: -29083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4*q - 20, -5*h = -4*q - 2 - 14. Put -4, q, -10 in ascending order.\nAnswer: -10, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 1. Suppose -20*l = -24*l. Suppose 6*y - 30 = -l*y. Give p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -117, -350, -801, -1542, -2645, -4182, -6225?\nAnswer: -8846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 4*b + 0*b)*(-3 + 1 + 0) + 2*b + 0*b - b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20777172?\nAnswer: 2, 3, 13, 133187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5126 is divided by 124.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -914 by 3.\nAnswer: -914\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.047, 3, -6, 0.5, 2\/5.\nAnswer: -6, -4, 0.047, 2\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 6 + (-10 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of m**5\/20 + 3*m**4\/4 - 2*m**3\/3 - 9*m**2\/2 - 8*m. Let p be n(-5). Let g = p + -51. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000083791 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -48*m**4 + 4*m**4 + 3*m**4 - 4*m**4 + m**4 + 0*m**4 + (1 + 5*m - 1)*(2*m**3 + 0*m**3 - 7*m**3).\nAnswer: -69*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10548857197\/16400 - 643223. Let j = 92651\/49200 - f. Calculate the common denominator of 210\/(-1680)*((-1)\/(-4))\/(5\/(-830)) and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -562, -308, -54, 200, 454, 708?\n\"Answer: 254*s - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9027 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 954*n - 949*n - 15, -j = 4*n - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1045189\/39 - -26803. Are 4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4 + 19 - 2 - 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of m**4\/12 + 7*m**3\/6 - 2*m**2 + 3*m. Determine y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 383024028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 2*s**2 - 143*s + 443. Let k be m(3). Calculate the greatest common divisor of k and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y**2 + 0*y**2 + 2*y**2)*(-26 + 52 + 66)*(3*y**2 - 5*y**2 + 0*y**2) to l + i*y**4 + s*y**3 + u*y**2 + z*y and give i.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -3, 11, -2, 1.6?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 129300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 12 - 8. Let t be (q\/(-6))\/(1\/(-6)). Is 4\/3 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 276560, 276539, 276518, 276497, 276476, 276455?\nAnswer: 276434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 0 - -2 - (-48 + 55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(1700) - 6*(1 + sqrt(1700)) - sqrt(1700)) + (sqrt(1700) - (4 + 1*sqrt(1700))))**2.\nAnswer: 1200*sqrt(17) + 61300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**3 - 2 + 2 - h**3 - h**3 - 3*h**3 + (5*h - 5*h - 2*h**2)*(-1 - 1 + 4)*(-4 - 5*h + 4).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 554.532 and 0.731.\nAnswer: 555.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 12:38 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/2*(4\/(-6))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/15)\/(2\/(-9)). Let t(s) = s**3 + 4*s**2 - 24*s - 2. Let o be t(-7). What is the derivative of 1 - 13*m**f + 26*m**3 - o*m**3 + 2 wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 2. Let o be a(-7). Suppose -3*m - 28 = -5*r - o, 0 = -2*r + 3*m + 11. Suppose r*t - 73 = -1. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3172 + -3163. Solve 5*j - t = -5*q + 11, -j = -5*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -t - 6, 3*r + t + 20 = 6*r. Suppose r*w - 6*w - 6 = 0. Let h(m) = m**3 - 2*m**2 + m + 2. Let b be h(2). Solve 3*f - 35 = b*q, w*q = -5*f + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.3, 0.4, -14, 0.2, 0.007.\nAnswer: -14, 0.007, 0.2, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 72285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -6*q - 6. Let k = -0.01 - -0.01. What is the biggest value in 2\/9, q, -4\/3, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1870729 to the nearest 10000.\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 960809213 to the nearest integer?\nAnswer: 30997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/30*-5)\/(1\/234). Suppose -4*n + o = 21. Calculate the remainder when (-1424)\/(-10) - 39\/(-65) is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -171547, -343104, -514661, -686218?\n\"Answer: -171557*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 84*j + 77*j - 16*j - j.\nAnswer: 144*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1753058?\nAnswer: 2, 876529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -45*n**4\/4 - 86*n**3\/3 - 2*n**2 - 934. Find the third derivative of y(d) wrt d.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 5 + -14 - (-3 + 2 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 3*j = -21, 4*u - 12950*j + 12954*j + 28 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 642 divide 654840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -313, -2, 62\/247?\nAnswer: 62\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q - 5*c + 51, -4646 = q - 4*c - 4601 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i + 5. Let n(v) = 3*v + 4. Let a(q) = -7*n(q) + 6*x(q). Let m(t) = -t**3 + 4*t**2 + 2*t - 5. Let s be m(4). List the prime factors of a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + m + 2 = 0. Suppose 0 = o - 3*o + m. Is 2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f**2 + 9*f - 14. Let o be y(-6). What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 + -36. Let c be (b\/4)\/((-5)\/20). Let p be (c\/18)\/(-1)*4. Is p greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/37 - 45\/148. Let g = -733\/1104 - -7\/69. Let d = g + 77\/80. What is the nearest to f in d, -3\/2, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h - 6 = 0. Let r = 31 + -7. What is the least common multiple of ((-3)\/h)\/((-2)\/(-56)) and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -27957  (b) -3\/4  (c) 2\/429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -17484946 at most -17484942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1694\/26 - (-4)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 5*h**2 + 7*h + 5. Let i(a) = -4*a**2 - 6*a - 4. Let q(t) = 6*i(t) + 5*y(t). Let c be (3\/4)\/((-1)\/4). Determine q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 9*h**2 + h + 4. Let r be 9*(7\/(-21) + (-2)\/(-3)). Does 7 divide m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((672\/(-175))\/(-24))\/((-3)\/(-30)*4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3*-2*2*(sqrt(1100) + sqrt(1100) + 4*((-1 + sqrt(1100) - sqrt(1100) - sqrt(1100)) + sqrt(1100) + sqrt(1100)) + -5) + -1)**2.\nAnswer: -164160*sqrt(11) + 5715396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/4, -0.2, 4.5 in ascending order.\nAnswer: -1\/4, -0.2, 2, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*s - 31*s + p + 127, 29 = s - 2*p. Solve n - 3 = 2*q, 20*n - 3*q - 24 = s*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + -3. Put s, 3, 1 in decreasing order.\nAnswer: 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4430 - -30?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -35.\nAnswer: 13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (81\/(-54))\/(2745\/(-60))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 116 = -3*i. Suppose m - i = -32. Calculate the remainder when -3 + 50 + (0 + m - -6) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3235445?\nAnswer: 5, 79, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3*i = 213, 2*k - 3*i - i - 74 = 0. Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -60*n**5\/7 + 164*n**4\/7 - 116*n**3\/7 - 36*n**2\/7 + 64*n\/7 - 16\/7 = 0. Calculate n.\nAnswer: -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -j + 6. Let n = -33916 - -34014. What is the lowest common multiple of j and n?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**6\/120 - l**5\/30 - l**4\/8 + 5*l**3\/3 - 5*l**2 - 5*l. What is the remainder when 6 is divided by r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -64*h + 57*h + 35. Suppose t + 4*d + 664 = 5*t, h*d = -3*t + 466. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -3 - (-8 + 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -40364 times -12.3?\nAnswer: 496477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 0*b**2 - b**2 - 2*b**2. Let g(f) be the third derivative of -f**4\/24 + 19*f**2 + f - 11. Calculate g(l(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (2 - 1)) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 3.861.\nAnswer: 7.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**3\/3 - 9*q**2\/2 - 16*q - 64. Let f be a(-3). Solve -4*d - 5*l = -9 - f, 0 = -d - 4*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*q + 2 + (3*q + 0*q - 2*q)*(4 - 3 + 1) + (-220 + 2*q - 328 - 278)*(-4 + 2 - 1) to h + s*q and give h.\nAnswer: 2478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17280524 a multiple of 1882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of 17\/120*t**6 + 30*t**2 + 0*t**4 + 0 + 0*t**5 - 11\/3*t**3 + 0*t. Differentiate y(p) wrt p.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(34*n + 42*n**2 - 34*n).\nAnswer: 84*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 420144001 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k + 5*d - 47, 11*k - 7*k + 26 = 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 41689690*q*t + 38721069*t wrt q.\nAnswer: 41689690*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -110111100001 (base 2) in base 12?\nAnswer: -2081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1553*u - 3096*u + 1551*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + k - 3, 3*k - 6 = -5*c + k. Suppose -3*z + 15 = 3*w, 16 = -c*z + 5*z - 4*w. Suppose -12 = z*y - 24. Solve -5*h + 4*h = -y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1753*q = -2413*q + 79154 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) -0.04  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**17\/h)\/((h**(-3\/2)\/h*h)\/h*h))\/(h**6\/(h**(1\/5)\/h)))**(-4\/13) assuming h is positive.\nAnswer: h**(-214\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.303484t in micrograms?\nAnswer: 1303484000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3c + -178?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1494 + -13787?\nAnswer: -14c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1293 + -895. Suppose -5*u = 3*o - 995, 2*o = -2*u - 0*u + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7229*x**4 + 201*x**3 - 90*x**2 - 25323?\nAnswer: 173496*x + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58.59258 - 0.89042. Let x = -59 - l. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 11:23 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1\/6, -0.5, 0.29, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315) - (sqrt(315) + 5*sqrt(315)*1))\/(sqrt(28)\/(sqrt(12)\/(-1*sqrt(3)) + sqrt(4) + sqrt(4))).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 2\/23  (c) -5  (d) 3\/4  (e) 6687\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -4*j - 24. Let h be 3\/(-18) + 7\/j. Suppose 3*n - 24 = 9. Solve 4*s + n = -h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 22 - 9*z**3 - 25 - 3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -4, -2\/45, 4, -40 in increasing order.\nAnswer: -40, -4, -2\/45, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/40, 4\/7, 0.2, 5660?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 785 from -15.158.\nAnswer: -800.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y**2 + y**2 - 2*y**2)*(-29860 - 11*y + 30786 + 9*y) in the form p*y**3 + k*y + t*y**2 + n and give t.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 9*k - 32. Let b be -2 + 0 + 1 - -13. Suppose -12 = -4*c + b. Calculate the remainder when c is divided by a(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31\/1364)\/(-1)*4\/2.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-4))\/(90\/8). Let y = -28 - -33. Which is the nearest to 1\/2?  (a) y  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82963 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3224, 15033, 47136, 109697, 212880?\nAnswer: 366849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 810 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 0*f + 1 + f**3 - 5*f**3 + f - 2*f**2 + 3*f**3. Let h be l(-3). Suppose -11 - h = -2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -2*z**2 + 9*z - 20. What is h(8)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m + 9*t - 39531 + 39039, -122 = -4*m - 2*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**4))\/q*((q**(-4\/11)*q)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -1.21, 97, -1.648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbgbgbgbbgbgbbggbb?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 13 + 6 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1418*v = 1406*v + 69432. List the prime factors of v.\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 360, 343, 308, 249, 160, 35?\n\"Answer: -i**3 - 3*i**2 - i + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 16.4. Let a = -167 + 166. Sort z, 1, -0.3, a in descending order.\nAnswer: 1, -0.3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 6*z**2 - 9*z + 8. Let v be (-3 + 108\/8)\/(15\/10). Determine t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 318080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/2, -5.6, 1\/2, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7456*y**2 - 7 - 5520*y**2 + 7 to the form z*y + h + w*y**2 and give w.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-1)\/(-4) - 126\/(-24))*36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19518, 507, 92 in descending order.\nAnswer: 19518, 507, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllwllllllllllww. Give prob of picking 2 l.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 156669, 313378, 470087, 626796, 783505?\n\"Answer: 156709*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2139 times -0.3\nAnswer: 641.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50759.\nAnswer: 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 13*a + 18. Let p be q(14). Suppose 0 = -p*g + 65 - 21. Let f(o) = o - g*o**2 + 10*o**2 + 0 + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27*v + 6*v + 7*v - 2)*(3*v**2 - v + 2*v - v**2) - 1993*v**2 + 1993*v**2 - 129*v**3 as y + i*v**2 + d*v + u*v**3 and give u.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**0*v)\/v)**(1\/39)*(v*v*v\/v**(-5\/2))\/(v*v*(v*v\/(v*v**(2\/9)*v*v))\/v*v) assuming v is positive.\nAnswer: v**(1111\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -8. Let x(a) = -6 - 1658*a**2 - 3*a + 15*a + q*a. Let v be x(13). Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 20*r**2 + 23*r + 68. Let z(v) = 7*v**2 + 8*v + 23. Let g(b) = 6*q(b) - 17*z(b). Calculate the remainder when 68 is divided by g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/((q\/q**(-22))\/q)))\/q)**(-15\/11))**(-26) assuming q is positive.\nAnswer: q**(8190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 4*m - 6*m + 19 = 0, 2*z - 4 = -2*m. Suppose 23*j = v + 20*j - 116, -4*v + 248 = 6*j. Calculate the greatest common divisor of z and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55236160 a multiple of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.3 - 0.3. Let y = -0.5 + 0.4. Let m = y + 0.1. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o**2 - 8*o + 2. Let q be g(2). Let z = -2 + 9. Solve q*b + 5 = d, 4*b - d + z = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.49697092 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5236 divided by -14.\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 + 10*h**2 - 4*h - 4. Let x(n) = n**3 - n**2 + n + 1. Let y(u) = -t(u) - 4*x(u). What is the third derivative of y(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 635814 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 2*q**2\/9 - 412*q\/9 + 410\/9 = 0.\nAnswer: 1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 128982141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(891) + 1 + -1)*3 + -4*(-1 + sqrt(891))*6)**2.\nAnswer: -27216*sqrt(11) + 1180521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1383458*s**2 + 304011*s**2 - 1695*s**2 - 1279275*s**2.\nAnswer: -2360417*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -13.4. Which is the nearest to -2?  (a) n  (b) 5  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 = 5*l - 4*y, l + 11 - 35 = y. Suppose 2*z = -13*z + 3870. Calculate the remainder when z is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 11:32 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/5 + 12\/55. Which is the biggest value?  (a) 3  (b) v  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.6062094 + 0.6056. Round j to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51740 or 51750?\nAnswer: 51740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 1119*h + 5 - 4 - 11 + 4 in the form m + x*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 72055*b*j - 31568*j with respect to b.\nAnswer: 72055*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.90098874 rounded to 3 decimal places?\nAnswer: 0.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) 3  (c) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 10*z + 1. Let x be g(8). Let u = x + -23. Suppose 75 = -0*y + 5*y. Calculate the remainder when u is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 6*m = -27. Suppose 1 - m = -2*q. Find the third derivative of 2*g**5 - 4*g**2 + 3*g**2 - 5*g**q + 5*g**4 wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 13840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6\/5 + -7\/10. Let q = 0.24 + -0.34. What is the nearest to q in -0.3, o, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 greater than or equal to 322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(32\/(-6) - -4). Suppose p + m*h = 7*h + 12599, 4*h = 2*p - 25202. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 316491 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11 - 299\/(-26)) + (1\/(-2) - -3). Solve 19 = y*p + 28 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*i - 55*i - 132*i)*(-2*i - 4*i + 4*i) - 2*i**2 + i**2 - 2*i**2.\nAnswer: 397*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1706 is divided by 134?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/156*0)\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqevqajsvsje. What is prob of sequence sqj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14585300 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -172*b**2*c*t**3*z - 1172*b**2*c*t**3 + 4*b*t**3*z + 49*b*t + 2*c*t*z - 18*c*t + 6*t wrt b?\nAnswer: -344*c*t**3*z - 2344*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1169565 and 5847825?\nAnswer: 5847825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8190 and 8442.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 11*o - 4. Let l(w) = 2*w**3 - 16*w**2 + 23*w + 7. Let r(q) = -9*j(q) - 4*l(q). Calculate the lowest common multiple of r(7) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 259 and 2072.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f - 4*f + 0 + 0 as n*f + o and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 897444585 minus 2?\nAnswer: 897444583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 13\/3)*-3. Let t = b - -29. Let d = -4 + t. What is the remainder when 29 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6336104*s**3*x - 12*s**3 + 33163 wrt x?\nAnswer: -6336104*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 39*h - 29. Let m be -3 - 96\/(0 + -3). What is the hundreds digit of j(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4465045?\nAnswer: 5, 13, 73, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4163942 and 4552.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 25674.2 not equal to -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -12. Suppose -2*g + j*g + 3 = 2*u, -5*g - 3*u - 28 = 0. Put g, 2, -4 in decreasing order.\nAnswer: 2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 5*y**2 - 6*y - 2. What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1648200 divided by 164.\nAnswer: 10050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -24715 - 2?\nAnswer: -24717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 0.4, 0.2, -2\/7 in decreasing order.\nAnswer: 5\/4, 0.4, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 150 = -51. Let x = 412 - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 10 = -7*v + 2*v, -x + 26 = -4*v. Let r(k) = -k**2 - 11*k - 10. Let b be r(-10). Solve -5*l + 3*c = c - x, -2*l + c + 5 = b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**8\/1848 + z**6\/220 + z**5\/165 - z**2. Factor r(m).\nAnswer: -2*m**2*(m - 2)*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.6 - 9. Which is the smallest value?  (a) 5  (b) 2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h. Let q be u(0). Suppose -4*y + 2*f = -4, q*f = 3*y + f - 8. Suppose n = y - 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*z - 17256 = -41*z - 3*t, 0 = -2*z + 2*t + 11500. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 11:44 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -198, -460, -972, -1818, -3082, -4848, -7200?\nAnswer: -10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -53*x**2 - 624*x - 25. Let m be f(-11). Solve -m*n + 20 = -416*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4043 (base 13) to base 14.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56517808?\nAnswer: 2, 23, 109, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 + 5 + 4 - 9.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z**(14\/9)*z)*z\/(z**(2\/5)\/z) assuming z is positive.\nAnswer: z**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -30926*d - 370874. Calculate f(-12).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2315754868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 11:53 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -42, -79, -150, -267, -442, -687, -1014?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1692 and 52264?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*i - 261924 = -2*i. What is the hundreds digit of (-8)\/2 + i\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -381 at most -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -23*s**2. Let j(i) be the third derivative of -i**5\/30 + 83*i**2. Calculate p(j(m)).\nAnswer: -92*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(1\/4))\/s**(-1)*((s\/(s\/(s**(-2)*s*s)*s*s*s*s))\/s)**(-30))\/(s**4*s*s*s**(-2\/7))**39 assuming s is positive.\nAnswer: s**(-1977\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/6)\/((-3)\/(27\/(-3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313564628?\nAnswer: 2, 13, 31, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -978021.86 rounded to the nearest one thousand?\nAnswer: -978000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.12, -2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**3\/7 - 22508*u**2\/7 - 27356338*u\/7 - 8826597760\/7 = 0?\nAnswer: -9920, -667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -452*p**5\/5 - 217*p**4\/12 - p**3\/2 - 354*p - 2. Find the third derivative of y(l) wrt l.\nAnswer: -10848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 5. Let o be (z + 1)*(-4 - -3). Let v = 2 - o. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 20*s**2 + 18*s - 16. Let q be k(-21). Suppose -5*i = -q - 13. Solve -v = 3*v + i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100 and 2825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3433805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of d**6\/72 + 3*d**5\/4 + 135*d**4\/8 - 145*d**3\/3 - 77. Let c(f) be the third derivative of w(f). Factor c(q).\nAnswer: 5*(q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8082.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -6  (b) 1\/7  (c) 3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fflllxxf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in -1\/2, -5, 2\/3, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 904602.2 litres?\nAnswer: 904602200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 3 - 1)*(-u - 4*u + 12*u)*(-u**3 + 2*u**3 + u**3) in the form a*u + h + w*u**3 + f*u**4 + z*u**2 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 1. Let f be b(-2). Let j be (f + -6)\/(10\/(-4)). Let v be 15 - (j + -3)*-1. Calculate the highest common divisor of 56 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 + 37 + 5 - 42 + 0*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.5 + 7. Let h = -2.2 - -1.9. What is the closest to 2 in c, 3\/7, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*w + 32*w - 14*w = -1060 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 2*c - 108, 19*c - 24*c = -5*x + 145. Calculate the remainder when 54 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a*u*v - 3*a*u - 22*a*v**4 - 21*a + 13111*u*v - 25095 wrt v.\nAnswer: a*u - 88*a*v**3 + 13111*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 9*d**2 + 8*d - 2. Let i be g(8). Sort 3, i, 5 in decreasing order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 385.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/(-18))\/((-2)\/6). Let i be 1 - (-11 + (j - 6)). Which is greater: 19 or i?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2652)\/153*6*3\/(-4). Suppose -3*k - 51 = -4*b - 6*k, -5*b = -k - f. Solve 10*l - b*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.4436055 tonnes?\nAnswer: 443605500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**5 - b**5 - 3*b**5 + (3*b**2 - 5*b**2 - b**5 + 3*b**5)*(36 + 425 + 193).\nAnswer: 1303*b**5 - 1308*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 137 - 23. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -233799 or -233797?\nAnswer: -233797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 2) + (2 - 18 - -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4043129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 (base 9) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 255 - 3?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 + 4*c**3 + 2*c**3 - 4*c**3.\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 227*c**7\/5040 - c**6\/720 - c**5\/12 + 7*c**2. Let l(r) be the third derivative of f(r). Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 4:42 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 - 90. Let f = i + 42.22. Let r = -0.91 - f. What is r rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8067 divided by 1400.\nAnswer: 8067\/1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -6. Suppose -1 = k*f - 5. Let o(x) = x**3 + x**2 - 2. Determine o(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*(j\/(j\/j**1))\/j)**(15\/4)\/(((j**(-2)*j)\/j)\/(j*j**5)))**(-13) assuming j is positive.\nAnswer: j**(-403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o - 1. Let k be a(2). Suppose 6*j - 13 = -5*m + 4*j, k*m = 5*j + 14. Let c be (-2)\/2 + m - 0. Solve -c*v + 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -0.4, 6\/41, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus 15.439981?\nAnswer: -19.439981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46346214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 40 = -5*a, 11 = 3*x - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*d, -907*l + 911*l + 5*d - 43481 = 0. What is the remainder when l is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d + 40 - 110 = 0. Let m(a) = 21*a. Let u(q) be the third derivative of 25*q**4\/3 - 10*q**2. What is d*u(y) + 48*m(y)?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1.4, 34, -90.3 in descending order.\nAnswer: 34, 3, 1.4, -90.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16200 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/12 + (-3128)\/(-544). Solve -z*q + 15 = 2*m, 15 - 21 = -q - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69\/37 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 178 - 75. Let v = 1180 + -605. Suppose -s = -o + s + z, -5*o - 5*s = -v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 12*j**2. Let t(v) = -5*v. Determine t(n(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/1176 and -25\/32?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1101959055?\nAnswer: 3, 5, 19, 163, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*a + 5*t, 0 = 3*t - t + 4. Let h(i) = -i**2 - 5*i + 6. Let m be h(-6). Let q = m + 0. Solve q = 2*u + 3*u + a*z - 2, -4*u = -3*z - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -207036 - -552449. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 5. Let o(q) = 4*q**2 + 0*q - 2*q**2 - g + 7*q. Let m be o(4). What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -216*k - 8257. What is the remainder when x(-44) is divided by 309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2 = -23. Which is the third biggest value?  (a) s  (b) 5\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((60\/8)\/5)\/((-9)\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206649 - 206649 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, w: 3, z: 2}. What is prob of sequence nnww?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -a**5\/60 - 13*a**4\/24 - 2*a**3\/3 - 29*a**2. Let v be s(-4). Let r = 38 - v. Solve i + r = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 26*l**2 + 14*l + 2. Give g(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309454*a - 308034*a = -51908 + 209528 for a.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 53176883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x\/(x*(((x*x*x**17)\/x)\/x)\/x))\/(x*x**(8\/5)))\/(x\/x**(-3))**9)**(19\/2) assuming x is positive.\nAnswer: x**(-4997\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 4:43 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000231443929 to six dps.\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 743, 900, 487, -496, -2049, -4172?\nAnswer: -6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {p: 2, u: 1, e: 1, d: 9, r: 5}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5157 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12135 is divided by 240.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6254 and 815498.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -7*q**2 - 581*q + 44. Suppose 2*h - 11 - 5 = 0. Calculate the least common multiple of h and a(-83).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - w - 3)*(-2*w - w + 5*w) + 0 + 0 + w**2 + (3*w**2 - 13*w**2 - 5*w**2)*(259 + 943 + 635) as h*w + o*w**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1476*d**3 + 742*d**3 + d + 0 + 733*d**3 - 2 + 2*d**2.\nAnswer: -(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rcxtcr. What is prob of sequence cct?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-33))\/(1\/6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (68*d - 38 + 38)*(0*d - 2*d**2 + 0*d)*(2*d**2 - d**2 + 0*d**2).\nAnswer: -136*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 0.2, 756, 0.103?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 5*j + 5, 0 = 21*j + 927*s - 934*s + 35 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 211\/464 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i - 117 + 55 - 6*i - 234 + 3*i.\nAnswer: 3*i - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47150 = 1838*d - 1815*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k + 2*k - 7*k + (3*k + 3*k - 7*k)*(-3 - 1 + 5) + 3*k + 2*k - 3*k + 32*k + 22*k - 83*k in the form c*k + j and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**3\/7 - 3021*a**2\/7 - 762045*a\/7 - 759027\/7 = 0. What is a?\nAnswer: -503, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h + 12*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 5*n - 9*n + 5, -n + 20 = 5*c. Find the second derivative of -2*x**5 - 73*x + 0*x**3 - x**5 + 14*x**3 + x**c wrt x.\nAnswer: -60*x**3 + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/4 - (-357)\/(-492). Which is the second smallest value?  (a) 0.1  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -o**6\/360 + o**5\/20 - o**3\/3 + 1. Let z(g) be the third derivative of b(g). What is the second derivative of z(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and -3.9081?\nAnswer: 7.9081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1060834 and 1328706.\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - l - 9 = 0, 4*t + 13 = 3*t - 5*l. Let x(i) be the first derivative of 0*i**t + 1\/3*i**3 + 0*i + 4. Let p(v) = 7*v. Calculate p(x(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 9. Sort -1\/5, l, -1 in decreasing order.\nAnswer: l, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from bkbkbbqoqkpopk?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(171) - (sqrt(171)*2 - sqrt(171))) - (sqrt(171) + sqrt(171) + 2*(sqrt(171) - sqrt(171)*2)))\/(sqrt(162)\/sqrt(2)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 196.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3445217\/3 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000116431904 rounded to seven dps?\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 32*w - 12. Let k be p(-7). Calculate the common denominator of -18 and (16639\/2646 - k) + 3\/1.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 19*f - 45. What is the lowest common multiple of q(-12) and 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546 + 13*q - 150 + 5*q - 23*q - 204.\nAnswer: -5*q - 900","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 103138.200058 + -103120.2. Let d = -18 + n. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.019537 times -3266\nAnswer: 63.807842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 8 = -q, -2*b + 22 = q + 18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - -3. Let g be (1 - 10)*(-8)\/s. Suppose 2*n - b = 2*b + 7, 0 = -2*n - 2*b + g. Solve 0 = -n*v + 3*y - 25, 0 = -5*v - y - 5 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(125) + 2)*5 + (sqrt(125) - (sqrt(125) - (sqrt(125)*-1*-3 + sqrt(125)))) + sqrt(125))*-1)**2.\nAnswer: 1000*sqrt(5) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 163577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -4442540 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -1\/5, -1, -3, 2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 0, 2851, -3, 3\/4 in ascending order.\nAnswer: -3, 0, 3\/4, 5\/4, 2851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 4*b - 3*u, -5*u - 30 = -2*b - 3*u. Let s = 12 - b. Let l(w) = -5*w - 8. What are the prime factors of l(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23 - 18*d - 23 - 3*d + 22*d**5 wrt d?\nAnswer: 440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1031 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/21 in 1\/7, -4\/5, 28213.7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 12 = 4*i, 0 = -5*h - 7*i + 3*i - 12. Suppose 0 = -3*m - 3*b + 9, -3 + h = -m - 3*b. Solve -5*f + 15 = -3*t + m, 0 = f - 5*t + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f - 1. Let w be r(-1). Suppose 2*l + w*l + 12 = 0. Does 5 divide 52\/5 - l\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2420, 4840, 7262, 9686, 12112, 14540, 16970?\n\"Answer: h**2 + 2417*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -168, -174, -198, -252, -348, -498, -714?\n\"Answer: -2*g**3 + 3*g**2 - g - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**4))**(-34) assuming d is positive.\nAnswer: d**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**5\/190 + c**4\/57 - 7*c**3\/19 + 18*c**2\/19 - c - 65. Suppose d(q) = 0. What is q?\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 5\/3*s**3 + 3\/2*s**2 + 4*s + 1 + 1\/4*s**4. Let u = -15 - -11. Determine r(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c - 20 = -47 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362 = o + 5*i, -o - 5*i = -i - 363. List the prime factors of o.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 22.33726, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -t**7\/210 - 5*t**2. Let w(u) = u**5 - 5*u**4 + 2*u**2 - u. Let a(j) = -3*b(j) + w(j). Find s such that a(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29 or 1608\/53?\nAnswer: 1608\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 80 = m. Suppose 5*d = v + 24, 0*d = -3*d + 5*v + 32. Suppose m = d*h - 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83289069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/4)\/5*1\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4685.58894 rounded to 1 decimal place?\nAnswer: 4685.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3 = 9. Let x(g) = 30*g**3 - 2*g**2 - 5*g + 7. Let t be x(1). Suppose 46*n - 56*n = -t. Solve -2*a + 3*d + 16 = -3*a, 4*a - n*d + j = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4392589174 to the power of 1\/2, to the nearest integer?\nAnswer: 66277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9996*i**3 - i**2 + 9003*i.\nAnswer: -59976*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1849321 - -3.\nAnswer: -1849318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 395280 and 17280.\nAnswer: 3162240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/3 - 100\/(-15). Suppose k = g*k - 3*d - 25, 3*d = -15. Find the second derivative of 2*f**4 + k*f**4 - f**4 + 7*f**4 - 5*f wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5*v - 4*v + 10, 4*c = 5*v + 39. Let k = v + 1. Do -5 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 540 - 16199\/30. Let o(v) be the third derivative of 0*v + 2\/3*v**3 - 5*v**2 + c*v**5 - 1\/4*v**4 + 0. Factor o(p).\nAnswer: 2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*m = -128, 202 + 216 = 3*c + 5*m. Let v = c - 59. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 18. Let y(l) be the first derivative of l**2 - 19 + 4*l + 29 + 8 + 8. Give y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -75*s + 70*s - 9, -2*i - 29 = 2*i - s for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 647.2504 nanograms in grams?\nAnswer: 0.0000006472504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i, -2*s + 2*i + 992 = 6*i. Let t = s + 196. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 1)*(-1 - 1 + 0)*((2 - 1 + 0)*(-2*a + 3*a + 2*a) - 5*a + 4*a + 2*a + a - 5*a + 3*a) as w*a + h and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52 - -40. Let x(d) = 16*d**2 + 21*d + 44. Let m(h) = -3*h**2 - 4*h - 9. Let u(v) = -11*m(v) - 2*x(v). Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332*l + 154850 = 3429*l for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence js when two letters picked without replacement from {s: 4, j: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 16*l + 28. Let k be n(16). What is the greatest common divisor of k and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -296\/3*f**2 + 204*f**3 - 168*f**4 + 18*f**5 - 16\/9 + 194\/9*f = 0.\nAnswer: 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**3 - k**2 + k. Let c(p) = 150*p**3 + 100*p**2 - 100*p. Determine -3*c(v) - 300*u(v).\nAnswer: 150*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(2\/13)*f**(-14)*f\/(f\/((f**(-13)*f)\/f*f))*f*f**(-9) assuming f is positive.\nAnswer: f**(-431\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -28077, -28126, -28175, -28224?\n\"Answer: -49*v - 28028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 2588208\nAnswer: -12941040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3243779*c - 2557154 wrt c?\nAnswer: -3243779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89880 is divided by 29957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in 4, 5, 52\/8247, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {n: 4, v: 1, t: 2, j: 2, e: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -522*j - 117. Let a(q) = 9*q + 2. Give -351*a(x) - 6*f(x).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -32a (base 11) in base 2?\nAnswer: -110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**3 + 98 - 53 - 45.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(2\/3)*k*((k**(-3)\/k)\/k)\/k*k*k**(-1\/2)*k*(k\/k**4)\/k assuming k is positive.\nAnswer: k**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -93.67 + -1.33. Let f = 66 + i. Let h = 28.9999966 + f. Round h to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(6\/12*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36039a (base 11) to base 2.\nAnswer: -10001011100001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.002 and -105006.\nAnswer: -105006.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 16. Suppose 4 = -z*i - 4*i. List the prime factors of (-3 - 0 - -9) + i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -234.974 - -235. Let i = 0.926 - n. Put i, -3, 21 in decreasing order.\nAnswer: 21, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2210 + -17?\nAnswer: 21a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 79241648500 rounded to the nearest one million?\nAnswer: 79242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(5\/2)\/s))\/(s*s**0*s))**49 assuming s is positive.\nAnswer: s**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/42 and 145\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/1)\/(4\/(-2)). Let g = 9 + -4. Suppose z - 1 = 0, -w + y = w - g*z. Solve 2*h + 4*v + 16 = 0, 3*h - 4*v + 0 = -w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/279 and 149\/186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9738)\/11361)\/(3\/(-63)*1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(320)*-2 - sqrt(5)).\nAnswer: -sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50852 and 924?\nAnswer: 11746812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7000 + 7002. Let p(x) be the second derivative of -1\/6*x**4 + 0 - 14*x + 0*x**3 + 9*x**l. Find the first derivative of p(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/1737448 and -19\/4?\nAnswer: 1737448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 261*j + 193. Let h(i) = 257*i + 194. Let w(c) = -3*h(c) + 2*t(c). Find the first derivative of w(n) wrt n.\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -92409?\nAnswer: 1\/30803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2252 - 2249 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -6 + 4 + 74. Suppose 31 = 2*d + 3*v, -5*d - 2*v + f - 12 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f - 27*f + 319 = 6*x, x + 5*f = 24. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-150)\/20) + 4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -203*b - 323*b - b - 126*b - 88*b in the form w + m*b and give m.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 922 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 119 divided by -79132?\nAnswer: -119\/79132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23467 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(20\/12) + 2. Put 4, -2, k in decreasing order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 PM and 12:56 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/s**4*s)\/(s*s\/s**(1\/2)*s))**7)**(-12) assuming s is positive.\nAnswer: s**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 1 + 38 + -38 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -212 - -250. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (15\/(630\/59948))\/((-11)\/(-198))?\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000011011000100100 (base 2) in base 5?\nAnswer: 32313004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/5*(-14)\/(-260188). Let v = o + 4742243219\/193189590. Let j = -583\/27 + v. What is the common denominator of 59\/22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199423?\nAnswer: 7, 31, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18375823.\nAnswer: 61, 301243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Express (3*n**2 - n**2 - 3*n**2)*(-3*n - n + 2*n)*(-2 + 0 + 3) in the form u*n**2 + w*n**3 + f + x*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32 + 43.8. Round x to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - u**2 + 2*u - 2. Let p = 8 - 11. Calculate the remainder when 38 is divided by m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4335 + 4339. Solve -2*l + 3*g + 3 + 2 = 0, -l - 5*g - w = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.374418m in centimeters?\nAnswer: 837.4418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 33804 - 33809, 4*h = 4*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 16*a**2 - 25*a - 9. Calculate the lowest common multiple of 3 and g(-15).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5099 - 2*v + 410 + 4*v. Is m(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 2*a + 19418, -f - 457*a + 456*a = -9697. Calculate the greatest common divisor of f and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -726*r**3 + 3*r**2 - 2*r - 32135?\nAnswer: -2178*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -90 - -54. Let w = y + 108. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 23, 39, 59, 83, 111?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) -0.1389  (b) 0  (c) 10  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**2 + 4 - 4. Let x(w) = w - 1. Let c(m) = 9*m - 12. Let f(h) = -c(h) + 12*x(h). Determine g(f(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1aa52d (base 15) in base 2?\nAnswer: -100111101100000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 272\/(-51)*(-2)\/(-16)*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18)\/((-161)\/63).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*g - 1, 0*x - 8 = -g + 2*x. Let n = -1 + 15. Let c = n - 9. What is the closest to -1 in -0.4, c, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2289310 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -12*f**3 + 49*f**2 - 1316*f + 5237. Calculate i(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7417*t**2 - 9*t + 12. Let i(k) = 3723*k**2 - 4*k + 5. What is -2*f(d) + 5*i(d)?\nAnswer: 3781*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7925 less than -0.49?\nAnswer: -7925.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10540 and 32.\nAnswer: 84320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from dpd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 + 64\/(-20))\/((-3)\/(-3)). What is u in 0*u**2 + j*u - 2\/5*u**4 - 4\/5*u**3 + 2\/5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 26358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/(-15)*350\/(-105). Solve p + x = -s*x, 4*p - x = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 8 - 8)*(0 - 1 + 2).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2*m = -76, -257*w + 3*m = -252*w - 198. Calculate the smallest common multiple of 469 and w.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 5231?\nAnswer: -1569.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 3, m: 1, e: 4, k: 2}. Give prob of picking 1 p and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 3, 0 in increasing order.\nAnswer: -40, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/16)\/(6\/(-48)). Which is the nearest to 12?  (a) g  (b) -2\/17  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.3 and 195542.\nAnswer: 195546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*2*6\/(-60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + 1)\/((-5)\/55). Let i be (-240)\/(-110) + 2\/t. 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: Three letters picked without replacement from {b: 15, x: 5}. Give prob of picking 3 b.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2.20863*6\nAnswer: -13.25178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + -21. Let c = -82 + 81. Let n(d) = d**3 + 3*d**2. Let a(m) = m**3 + m**2. Determine c*n(t) + r*a(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - p + 2. Let b(q) = 2*q**2 - 12*q - 6. Calculate b(n) + 3*r(n).\nAnswer: -n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0, 870, -0.2 in increasing order.\nAnswer: -0.2, 0, 0.4, 870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -10, -1 = 5*u + 5*n + 4. Find the third derivative of 18*m**2 - 13 + 19 + 22*m**u - 6 wrt m.\nAnswer: 528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2752.23 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 962727261?\nAnswer: 3, 23, 3371, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 140792 + 140000 = 0. What is the highest common divisor of 30536 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(3\/9*3). Suppose 4*s + 5*w = -31, 4*s - 4*w + 5 = c. Let k be s - -2 - 24\/(-10). Which is greater: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - m - 9. Let v(b) = -10*b**2 - 6*b + 18. Let n(u) = 2*g(u) + v(u). Let c(w) = w**2. Determine n(c(t)).\nAnswer: -8*t**4 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*x - 2*x**3 - 21*x - 23*x + 67*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202783 is divided by 11920?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 11 = -9. Let y = l + -3. Let d = 2 - y. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*1 + ((-1365)\/7)\/(-5). Find the second derivative of -16 - q*o**5 + 60 + 33*o**5 - o - 6*o**3 wrt o.\nAnswer: -60*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (100\/(-60))\/(10\/12). Let o be 5 + k + (-2 - 1). Do o and 2\/669 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5193338422 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dbw when three letters picked without replacement from {w: 1, b: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g - 3. Calculate z(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*-1*12\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k - 1. Let z be l(3). Let q be 1*(z - (1 - 2)). Suppose q*u - 24 = u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in -0.3, 1\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*a + 53 = 0, -a - 13 = -2*s + 34. Let x be (2\/8)\/((-15)\/(-30))*12. Solve 4 + s = -x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 101439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 22*b**2 + b - 7. Determine z(22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*n - 6. Suppose 5*x + 0*x - 16 = n*w, 1 = -x. Let g = -109 - -109. Put w, -1, g in decreasing order.\nAnswer: g, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 14*c - 9. Let s(z) = -z**2 - z + 1. Let p(q) = f(q) + s(q). What is the units digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -20. Which is greater: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 567.9293 millilitres to litres.\nAnswer: 0.5679293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -193600 + (0\/12)\/1. Round z to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2969*i + 183758. What is b(-62)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 327627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 10*c**3 + c**2 - c + 1. Let z be w(1). Suppose -5*a + 31 = -2*a - 2*l, 5*a - 2*l - 53 = 0. What is the greatest common factor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 10*v**2 + 21*v - 5. Let c be m(-6). Let y be (-14040)\/c*(-3800)\/6. Round y to the nearest 10000.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, k: 6, f: 1}. Give prob of picking 1 h and 1 k.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (236\/531)\/(2\/(-12))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 - (-55 + 0 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 308, 4, 0.2, -804, 19, 2?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 204  (b) 191  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 4 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 790800 and 4400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4704*b + 4700*b + 5124*b - 14524*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -79, 43, 197, 383, 601, 851?\n\"Answer: 16*m**2 + 74*m - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**2)**(-26))**(-38))**(3\/8) assuming g is positive.\nAnswer: g**741","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 9564\/95  (b) -0.03  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 7*u**3 + u**3 - 146 + 44 + 62.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341805?\nAnswer: 5, 37, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7*4644\nAnswer: 32508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 82745*r**4 - 5626685*r**3 + 1700*r**2.\nAnswer: 5*r**2*(r - 68)*(16549*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 34. Suppose 5*m = 4*m + 8. Calculate the least common multiple of (12\/(-1))\/(g\/(-70)) and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2101471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 100102 - 3313?\nAnswer: a789a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 66.3947171 and 1.\nAnswer: 67.3947171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + w**2 + 2)*(-919 - 30032 - 54765 - 564 + 4141 - 39524) as s*w**2 + b + d*w and give s.\nAnswer: -121663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*l - 2\/5*l**3 + 3\/5*l**2 - 1\/5.\nAnswer: -(l - 1)**2*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 397*j**2 - 32*j**2 + 497*j**2 to the form r*j + z + c*j**2 and give c.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (12 + -12) - -17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -38d (base 15) to base 4\nAnswer: -30220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 - 3 + 3)*(b + 0*b + b) + (-4 + 2 + 3)*(b**3 + 3*b**3 - 2*b**3) - 3*b**3 + b**3 + 3*b**3 + b**3 - 2 + 2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50609, -202971, -456915, -812447, -1269573, -1828299, -2488631?\nAnswer: -3250575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-4) + (12\/(-64))\/(3\/108)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -2\/3  (c) -2  (d) 4.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 8. Suppose -2*b = -5*r + 8, -5*r + 44 = -b + 5*b. Let y be w(b). Solve -5*s = -0*s - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -103, -245, -467, -781?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 812, 31, 0.1?\nAnswer: 812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and -314747.1108.\nAnswer: -314746.7108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5783 is divided by 2882?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1187 (base 16) in base 4?\nAnswer: 1012013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 6*x = -8. Let a(m) = -2 + 2 - 3*m**2 + 7*m**x. Let r(w) = w. Calculate a(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 127600 and 975?\nAnswer: 4976400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 85773892 to the power of 1\/2, to the nearest integer?\nAnswer: 9261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s. Let k(q) = -4 - 3 + 6 + 4*q. Let o be 2\/5*(19 - 4). Calculate o*c(f) + 2*k(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - (4 + 4 + 5) - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -13. Let a be 3\/(-2)*(-4)\/m. Suppose 5*f - 4*f = 2*n - 4, -2*n - 12 = 3*f. Which is greater: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 1\/9, -418, -0.4 in descending order.\nAnswer: 1, 1\/9, -0.4, -3, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 1020228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -161703\/7 - -23113. Factor y*g - 4\/7*g**2 - 484\/7.\nAnswer: -4*(g - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4217 is divided by 507?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u**3 + u**2 - 2*u + 1. Let v be a(1). Suppose -v*o + o + 24 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + -19)*1\/(-1). Suppose 0*u - u = -17. Suppose -4*a + p = -u. What is the greatest common factor of a and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3035347781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 1  (c) -5  (d) -0.06  (e) -73  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*2*-1*69\/(-552). Determine g, given that -q*g**3 + 1\/2*g**2 + 0*g + 0 - 1\/2*g**4 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/454523309 smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*4\/(-30)*45\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2896 + 47?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/8, 218, 2, -1, -2?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 7 = -18. Let y = 1 + 1. Solve -1 = s - t, -y*t - 7 = s - l*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**2 - 11*v + 6. Let k(f) = -5*f**2 + 10*f - 12. Let h(g) = -2*g**2 + 3*g - 4. Let l(z) = -11*h(z) + 4*k(z). Calculate 8*l(d) + 5*w(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 6*r**4 + 8)*(2 - 2 - r) - r**5 - 7*r**5 + 15*r**5 + (0*r - r + 4*r)*(-5*r**4 + 5*r**4 - 2*r**4).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -172*c*w**2 + c*w + 70*c - 40*w**2 + 56*w - 2 wrt c?\nAnswer: -172*w**2 + w + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -44*z - 11. Let l(a) = -5*a + 2. Let w(c) = 11*c - 3. Let f(k) = 7*l(k) + 4*w(k). Let m(n) = -11*f(n) - 2*h(n). Let r(t) = t**2. Give r(m(y)).\nAnswer: 121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1345 and 1880.\nAnswer: 252.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -92*(-8)\/3 + -37 + 35. Let i = 247 - o. Suppose 0 = c + 36. What is the common denominator of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3 + 3*h**5 + 114*h**2 - 48*h + 351 + 343 + 12*h**4 - 82*h**3 - 694 = 0. What is h?\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37193507?\nAnswer: 13, 19, 23, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s + 5. Let c be -9*4\/8*-2. Let b be c\/2*(-4)\/(-6). Let z(h) = h + 1. Let f(j) = b*z(j) + w(j). What is f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c**(-4))\/c)\/c)\/c**(-3))**(-3\/17)\/((c\/(c*c*c\/(c\/c**(-1))*c))\/(c*c**(-2\/5))*c\/c**(-5)*c**1) assuming c is positive.\nAnswer: c**(-429\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 27637 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 49*g**2 + 6*g - 5. Let k(h) be the second derivative of 49*h**4\/4 + 17*h**3\/6 - 7*h**2 - 2*h. Let x(o) = 6*k(o) - 17*r(o). Is x(-1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 214 - -217. Let c = 655 - w. Calculate the highest common divisor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -160 + 166. Let b(l) = 14*l + 7*l**2 - 2*l**2 - 6*l**2 + 2. Let j be b(10). What is the highest common factor of j and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2002320)\/(-900) + (-4)\/(-10)*-2. Let v = -1503 + r. List the prime factors of v.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-110)\/30 + -3*6\/(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k**4 + 7*k**2 + 4956*k**3 - 5*k**2 - k - 4957*k**3 - 257*k**4 as x + a*k**4 + l*k + d*k**3 + v*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -401530*p**4 - 17*p**2 + 12959?\nAnswer: -9636720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12049769*m**3 - 4*m**2 + 204127073*m wrt m.\nAnswer: -72298614*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.6 - 3. Let d = c - 0.69. Let t = -0.0804 - d. What is t rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 0.2, -824, 3 in ascending order.\nAnswer: -824, 0.2, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -9*x + 8. Let s(t) be the third derivative of t**4\/24 - t**3\/6 + t**2. Let v(j) = 40*s(j) + 5*u(j). Let n(b) = 0*b + 0*b + b. Determine n(v(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {d: 2, s: 4, p: 4, r: 2, j: 2, a: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 5*y**5\/12 + 17*y**4\/24 + 68*y**2. Find the second derivative of t(n) wrt n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of 55*k**7\/2 + 28*k**3\/3 + 3*k**2\/2 - 363*k. Find the second derivative of n(b) wrt b.\nAnswer: 23100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 0*o + o + o. Let h(q) be the second derivative of 5*q**4\/6 - 2*q + 12756. Calculate b(h(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12474*x**4 - 5*x**2 + 8444*x wrt x.\nAnswer: 149688*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 295457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 4*q - 1. Let j be u(3). Let s = -1 - j. Let a = s + 10. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w\/(w\/(w*(w**(-1)*w)\/w)))\/w))**(-30)\/(w**(3\/11)\/((w*w*(w*w**3)\/w*w)\/w*w)))**5 assuming w is positive.\nAnswer: w**(-2985\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a - 2*a + 4*a)*(134*a**2 - 98*a**2 - 103*a**2) as m*a**3 + t*a**2 + v + h*a and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*q**3 + 7*q**3 - 8*q**3)*(-4 - 3*q + 4) as u*q**3 + w*q**2 + d + x*q**4 + g*q and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3 - 0.2. Suppose -2*x - 1 = -r, 7*r - 11 = 2*r + 4*x. Suppose -4*s + 13 - 1 = 0, -5*s = r*z. What is the second smallest value in c, z, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 10 = 4*l. Suppose 8 = l*i + 2. Is -2 - 660\/(-8)*i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25 + 37. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*s - 66*s = -16. Find the common denominator of s\/((-88)\/105)*(-22)\/(-132) and -37\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 1 + -4 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10739527 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 63 = -117. Let r(x) = x**2 - x + 29. Is r(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*d - 224 = -21*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2340 by -13.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 84, 2, 47, -2 in decreasing order.\nAnswer: 84, 47, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7588040416.\nAnswer: 2, 11, 21556933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 8*r**2 - 15*r - 3. Let v be q(-3). Suppose 33*u + v - 1203 = 0. Calculate the smallest common multiple of 45 and u.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 14*u - 19. Let i(w) = 70*w - 95. Let h(z) = 11*c(z) - 2*i(z). Is h(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 12*f**2. Let c(i) = 59940856*i + 2. Give c(x(v)).\nAnswer: 719290272*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -9*q + 1. Let n(b) be the second derivative of -b**3\/2 - 2*b. Determine 7*n(f) - 2*t(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -5, 0 in decreasing order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/3103, -2, 81 in increasing order.\nAnswer: -2, -6\/3103, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55116024 = -4*p - 6*b, 0 = -24*p + 29*p + 3*b + 68895012. What is p rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p = 4 - 15. Let f(w) = w**2 - 1. Let j(q) = q**2 + 9*q - 2. Calculate p*j(m) + 3*f(m).\nAnswer: 2*m**2 - 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -12056*y**3 - 33*y**2 + 33*y + 66. Let c(t) = 1507*t**3 + 4*t**2 - 4*t - 8. Give -33*c(l) - 4*u(l).\nAnswer: -1507*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 + 0.4. What is the second smallest value in -2\/5, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttk when four letters picked without replacement from ttktthhtthhtthtthhh.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 - 1. Let k(b) = b**2 + b. Let l(u) = -7*u**2 - 4*u. Let y(m) = -4*k(m) - l(m). What is o(y(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**3 - 6040460*j**2 - 12080908*j - 6040452 = 0. What is j?\nAnswer: -1510113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70847937 is divided by 331065.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a**2. Suppose 21 = -8*k + 69. Let f(s) = -k*s + 0*s - s - 2. Let n(r) = 120*r + 35. Let h(w) = -35*f(w) - 2*n(w). Calculate h(u(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2374*t + 1106*t + 1266*t + 31.\nAnswer: -2*t + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 47 = -0*h - 4*s, -h + 33 = -3*s. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o - 11 + 6*o + 15 - 4*o. Let h be m(-3). Does h = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 2*o - 15, 3*y = -o + 5*o + 9. Suppose -l + 4 = -g + 13, 3*l + y = -g. Let r = 8 - g. Solve 0 = -w - 6 + 1, -r*j - 5*w = 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**8\/5376 - a**7\/672 + a**6\/576 + a**5\/32 + 5*a**4\/6 - 9*a. Let w(h) be the third derivative of b(h). Factor w(c).\nAnswer: -5*(c - 1)*(c + 1)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398.1 centimeters in meters?\nAnswer: 13.981","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 27*u**2 - 192*u + 257. Calculate o(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*((-10)\/3 - -4). Suppose 4*h - h - i*n = 92, 4*h + 3*n - 151 = 0. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = x - 3. Let s(y) = 3*y + 4*y**2 - x*y. Let i(v) = -v. What is s(i(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 11*o - 30 - 7*o + 30 - 6*o. Let f(v) = -2*v + 2*v - 7*v. Determine f(z(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -4*i - 22, 0 = -4*i - 0*i - f - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 PM and 8:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 399433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(13\/4))\/x)\/x)\/(x**(-5)\/x)*((x**(-3)*x)\/x)**(1\/25) assuming x is positive.\nAnswer: x**(163\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 106*s**2 + 36*s + 353. Is w(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - 56\/(-12))\/(-4 + 2). Which is the closest to 2?  (a) -2  (b) g  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-3))\/(12\/(-396)). Is 22 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 10.2. Let u = m + -0.5. Let h = 49232.9 + -49233. What is the nearest to h in -4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40871403 to the power of 1\/2, to the nearest integer?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 330164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z - 8 = 0. Suppose 6*i = 2*i - z. Let m be (5\/i)\/(2\/(-4)). Do m and 5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 22 + 2)*(-4 + 4 + 2*s) - 70*s - 2141 + 2141 - s + 0*s - s + (-1 + 1 + 1)*(-2*s + 0 + 0).\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - 0.34426\nAnswer: -0.04426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -10798.203 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175833145 to the nearest integer?\nAnswer: 13260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 2 - (-27 - (-6 - 8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1873 = -27*v - 901. What is the remainder when 210 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -71 - (34 + (-102 - -48))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1023221 (base 4) to base 6\nAnswer: 34225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*q + 2480 = -759 + 295. Sort 3, -1, 12, q.\nAnswer: q, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 336 or 104942\/311?\nAnswer: 104942\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 1, 3, -5, -4, 5, -8 in increasing order.\nAnswer: -23, -8, -5, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/7 - 4001*w\/7 - 95448\/7.\nAnswer: -(w + 24)*(w + 3977)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 520271 is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d. Let q(b) be the first derivative of 11*b**5\/20 - 105*b**2\/2 + 18. Let s(j) be the second derivative of q(j). Give z(s(a)).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 386 - 19. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/671, 0.03, -0.6, -2\/15, -0.2.\nAnswer: -0.6, -0.2, -2\/15, 2\/671, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 12*h + 38981 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*u**3 + 219*u**3 - 81*u**3 - 70*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-7\/3)\/(z**(-2\/11)\/z))**(-2\/7)\/(z\/z**(2\/29)*(z*z**(-3\/4)*z)\/z)**7 assuming z is positive.\nAnswer: z**(-212713\/26796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from qvdqqmdddmdqdvvqvq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r = -3*l + 814 - 806, 4*r = -30*l + 248 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of b**2*l*u**2 + 7*b**2*l*u - 15*b**2*u**2 - 6*b*l*u + 23*b*u wrt l?\nAnswer: b**2*u**2 + 7*b**2*u - 6*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -i**6\/150 - 181*i**5\/75 - 237*i**4\/10 - 354*i**3\/5 + 2*i**2 + 733*i - 1. Determine n so that y(n) = 0.\nAnswer: -177, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -87598, -354434, -799162, -1421782, -2222294?\nAnswer: -3200698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 11*c**2 - 23*c**2 + 2*c**2 + 2*c**2 + 9*c**2. Let z be (-4)\/(-3) + (-4)\/(-6). Let p(q) = 0*q**2 + 7*q**z - 2*q**2. Determine t(p(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 642 is divided by 156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30 - 18. Suppose -2*i = 2*l, -i - 15 = -0*l - 4*l. Solve l*t - v = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 611030.664 to the nearest 100.\nAnswer: 611000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-72)*-4*(2 - 0)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*y + 2*y + 9*y)*(-1148 + 31*y + 1148)*((-1 + 1 - 2)*(2 - 2 + 2) + 4 - 2 + 1 - 4 - 1 + 2) to x*y**2 + v*y + h and give x.\nAnswer: -3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 2*z - 48 = -22, -2*v = 3*z - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6238 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -5*g + 1. Let b be p(1). Let y be (-21)\/b + (-2)\/8. Suppose -w + 9 = y*d, -2*d - w + 0*w = -3. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-434)\/(-12) + 4\/(-24). Suppose -6 + u = 5*w. Suppose w*r - 20 = r, -3*r = 3*g - 18. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 57  (b) 0.5  (c) -5  (d) 9  (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 3*j - 77, 4*n - 299 = j + 2*j. Let l = 109 - n. Let t be (0 - 12)*l\/(-20)*2. Put t, -1\/4, 0.2, -3 in ascending order.\nAnswer: -3, -1\/4, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3646553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**2 - 225*p + 56700 = 0.\nAnswer: -180, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s**5 + 182*s**4 + 490*s**3 - 470*s**2 - 486*s + 288 = 0. What is s?\nAnswer: -3, -1, 1\/2, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*i - 22. Suppose 0 = -r - 2*r + i. Let c(y) = -y + 1. Calculate c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.871 + -0.029. What is the third biggest value in 3, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6902 + 0.6?\nAnswer: 6902.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssqsqqoo. Give prob of sequence osqo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 23 = -3*a, 4*r + 13 = 5*a + 34 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**4 + 198*l**3 - 621*l**2 + 12*l + 828 = 0.\nAnswer: -69, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 353882*z + 46 - 353882*z - 46 - 80*z**2.\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 5*d**2 - 75*d + 18. What is q(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000053569168 rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2572 and 566483.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -30, -45, -58, -69?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.6*0.3.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 61*o**4 + 40290*o**3 + 19800*o**2.\nAnswer: o**2*(o + 660)*(61*o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*g + 5*a - 162, 0 = -3*a + 6. Calculate the least common multiple of 18 and g.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*s**5 + 115*s**4 - 135*s**3 + 65*s**2 - 10*s.\nAnswer: -5*s*(s - 1)**3*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x - 10 - 3*x + 7)*(6*x - 6*x + 4*x**2)*(2*x + 0*x - 4*x) in the form k*x**4 + c + z*x**3 + a*x**2 + v*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-3) - (-204)\/36. Suppose -s*t = -179 - 276. Suppose t + 3 = g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 70 - 73 = -j, 2*j - 3*j - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -13 + (-30032)\/(-108) - (-4)\/(-54). Solve 22*u - t = -31*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 199 - 795\/4. Sort -1, -1\/12, f in descending order.\nAnswer: f, -1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -3*z - 62. Suppose -4*y = -z*y - 28. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 2, -11 = -j + 14*q - 11*q. Suppose -3*z - 1012 = -2*v - 7*z, -3*v - j*z = -1520. List the prime factors of v.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27075 or 27065?\nAnswer: 27075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 74 = -33*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/3 + 1 - -2. Suppose 0 + 4 = 3*b - 2*m, -m = o. Solve -21 = -5*k - 2*f, k + b*k = 2*f - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11, -9, -7?\n\"Answer: 2*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8867, -8954, -9035, -9110?\nAnswer: -9179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-10) - (136107\/(-2130))\/(-1*(-6)\/4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*i - 8948*i**2 - 12*i + 0*i**3 - 4*i**3 + 8926*i**2 to s*i**3 + z + k*i + q*i**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -632, -1616, -2596, -3572, -4544, -5512, -6476?\n\"Answer: 2*c**2 - 990*c + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 694079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/8 - (-21)\/6. Suppose 4*a - 10 - 22 = 0. Solve u*v = -0*v - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -206*-123\nAnswer: 25338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -0.1, 0.039, 1.2, -0.3 in descending order.\nAnswer: 1.2, 0.039, -0.1, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37 - (-896)\/24)\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l + 5*x - 30, 2*l + 8 = 4*l + 3*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/((-75)\/(-185))*-3. Let x = 172 - v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 220 divided by 1\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34\/23 + 133\/230. Let r be (4536\/(-72) + 64)\/2. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2774 + l**3 + 5046 + 2*l**3 - 884 - 78*l**2 + 51*l.\nAnswer: 3*(l - 17)**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.96 + 0.25. What is k rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - d**2. Let r(n) be the second derivative of -n**5\/4 - n**4\/2 + n**3\/6 + n**2\/2 + 23*n - 36. Determine 4*i(f) - r(f).\nAnswer: f**3 + 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 2*w**2 - 17*w + 14. Let a be h(6). Let y = 235 + a. Solve i + y = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/4)\/(-3)*176\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*j - l, 1 + 14 = -5*l. Let x = j - -2. Solve -8 = x*q - 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 53 + 1. Suppose 0 = -3*v - d - 51. Which is smaller: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 15.75, -6948?\nAnswer: -6948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 44\/18*((-3040)\/7296 - 254\/(-264))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 7) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-1\/40))**(-47) assuming a is positive.\nAnswer: a**(-1927\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - -45)*(-5)\/((-45)\/6). Solve -39*m + 46 + l = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - -1)*65*(29 - 32). Let l = -191 - q. Solve -u - 3 = -l*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkpkkkpkpkppppk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*q**4 + 144*q**3 + 306*q**2 + 240*q + 63.\nAnswer: 3*(q + 1)**2*(q + 7)*(5*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12959040 rounded to the nearest one hundred thousand?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-14\/5)*t**(13\/3)*t**(-3\/4)*t**(-22) assuming t is positive.\nAnswer: t**(-1273\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -8*h + 3*h + 6, -4*h - 16 = 2*p. Let i be (2\/(-4))\/(p\/(-16)). Let o = i + 11. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -6*q**2 + q. Let z(v) = -2*v**2 + 25*v + 56. Let w be z(-2). Let c be (-1)\/2 - -3*w\/(-4). Give b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10*(-86)\/(-1075))\/((4\/25)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 92*t. Let d = -547 + 549. Let k(a) = 15003 - d*a - 15003. Give m(k(r)).\nAnswer: -184*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/16 + 11\/4. Let -2*h**2 + h**4 + h**3 + i*h**2 - h + 2 - 4*h**2 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 4:35 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 280.4369g?\nAnswer: 280436900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 21*n - 510. Give f(52).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 94\/210 + 28\/(-70). Let a(y) be the second derivative of -y - g*y**7 + 1\/2*y**2 + 1\/3*y**4 + 0 - 1\/6*y**6 + 2\/3*y**3 - 1\/10*y**5. Factor a(r).\nAnswer: -(r - 1)*(r + 1)**3*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {x: 3, f: 1, s: 2, i: 6, p: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/4*(-64)\/(-4). Suppose -5*r = b - 4, 4*b + 2*r - 16 = 3*r. What is the remainder when 20\/2*12\/i is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a century in years?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from prpprxplrpprlxpp. What is prob of sequence rx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -7*k**3 - 193*k**2 - 107*k + 90. Determine x(-27).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 11*z**2 - 9*z + 10. Calculate c(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9162172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2011354320 - 1?\nAnswer: -2011354321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.407 * 4.\nAnswer: 49.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1)*p)\/p)\/(p**(-6)*p))**37 assuming p is positive.\nAnswer: p**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**2 + 4*p - 4*p + (-2*p**2 + 0 + 0)*(-1 - 1 + 0) + p**2 + 0*p**2 - 2*p**2 - 2*p**2 + 2 - 2 + (0 + 3*p + 0)*(3*p + 0*p - 2*p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1530798 and 15583?\nAnswer: 1546381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -572773.\nAnswer: 57277.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -427304.51 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 2\/(-10))\/((-454)\/231994) - 42\/35.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o - 27 = -29*o. Suppose 0 = -o*k + 288 - 15. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 8 - 5 - 5 - 13*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/62  (b) 1  (c) -0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12002 + -211022002120?\nAnswer: -211021220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, s: 2, c: 5, k: 2}. What is prob of sequence ss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) 23\/5  (c) -27  (d) -8\/9  (e) -3  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((-5 - 15) + 2 - -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 5 - 14. Let k = -11 - h. Suppose 2*y = k + 66. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 0*q**6 + 0*q + 0 + 1\/15*q**7 - 3*q**2 - 13\/60*q**5 + 0*q**3 + 0*q**4. Find the third derivative of u(k) wrt k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 109 = 10*p, 6 = -3*p + 2*p. Let j(h) = -h**3 + 7*h**2 + 6. Calculate the remainder when l is divided by j(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-14) + 38226\/2415 - 18\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -149  (b) -7  (c) 20  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12.09*-0.9.\nAnswer: -10.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**3 + 22*o**2 + 66 - 9*o**2 - 5*o**3 - 8*o**2 + 2*o**3 + 2*o as f*o**2 + u*o + d*o**3 + m and give m.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 39 = -0. Let s be y\/15 - 6\/15. What is the units digit of (2 + -3)\/(s\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323847607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 4 + 5)*(3*n - 3 + 3) + 0*n - 5*n + n)*(n**3 + 1 - 1) + (-3*n**3 - 2*n**3 + 4*n**3)*(3*n - n - n).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1536 - 3.1536. Sort 11.7, 13\/5, w.\nAnswer: w, 13\/5, 11.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5083 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -553 + 613. Calculate the highest common divisor of o and 1380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**8\/336 + n**7\/84 - n**6\/72 - n**5\/12 - 2*n**3 - 11*n**2. Let i(f) be the first derivative of z(f). Factor i(w).\nAnswer: 5*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awdfafiwipfdidw. Give prob of sequence fd.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -398322, -398324, -398326, -398328, -398330?\nAnswer: -398332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 5*j**2 + 19927025*j = 0.\nAnswer: -3985405, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 873*v**3*z**2 + v**3 - 7*v**2 - v*z**2 - 69 wrt v.\nAnswer: 5238*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -44*p - 2939. Calculate u(-50).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 5 - 1)*(-5*u + 3*u + 3*u) + 2*u - 2*u - u to p + t*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 36, 64, 92, 120?\n\"Answer: 28*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g - 1. Let o(h) = -63*h + 13. Let a(p) = 78*l(p) + 6*o(p). Let b(j) = -31*j. Calculate b(a(r)).\nAnswer: -372*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 22. Suppose -5*h = l*n + 1 + 1, -18 = -h + 4*n. Suppose 3*s - 202 = -h*k, -4*s - k - k = -270. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 1, -2\/3, 4, 3\/7 in ascending order.\nAnswer: -39, -2\/3, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3851, -5469, -7087, -8705, -10323?\nAnswer: -11941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 935 + 1171 = -3*g. Do g and -702 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {v: 2, o: 2, e: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/2 + 5279*j**2\/2 - 5330975*j\/2 + 1514563297\/2.\nAnswer: -(j - 4057)*(j - 611)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i - 3. Let w(f) = -128*f. Determine v(w(g)).\nAnswer: 384*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 2625?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**2 - 18*o + 1. Let u be s(-9). Solve 4 = 3*b + u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.43 + 7.4. Which is the closest to -0.1?  (a) o  (b) -3\/5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -247.23 - -245. Let x = w - -2.53. What is the nearest to 1\/4 in 2, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o - 9. Let i be h(-6). Factor -s**2 - 2*s**2 - i - 8*s + s**2 - 5.\nAnswer: -2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 5*v + 1. Let n be (-9)\/(-2)*(-5 + 7). Let k = 6 - n. Let m(w) = 9*w + 1. Determine k*m(s) + 5*l(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 4.1. Let y = -3.5 - -3. Let n = y + 2.5. Which is the closest to x?  (a) 0  (b) 2\/3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z - 3. What are the prime factors of b(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 at least 396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33.1 + -266.1. Let k = o + 232.5. What is the smallest value in 2, 77, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -731.301 + 731. Let n = 0.301 + j. Let c = 0.1 - 0. What is the closest to n in c, 0.5, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118 divided by -189.\nAnswer: -118\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -642322 divided by 321161.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 60*v**9\/7 + 378*v**5\/5 - 5*v**2 - 203. Find the third derivative of s(y) wrt y.\nAnswer: 518400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f**2 - 3*f. Let m(p) = -45*p + 11*p**2 + 116*p + p**3 - 65*p. Give -11*b(q) - 6*m(q).\nAnswer: -6*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 590789?\nAnswer: 73, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 614606864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*k + 234 = -60*k. What is the remainder when 89 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-140)*7*(-10)\/4*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4064, 7765, 11474, 15191, 18916, 22649, 26390?\n\"Answer: 4*k**2 + 3689*k + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 84 + -17 + (-5)\/1. Which is smaller: 63 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12536*u - 12539*u = -2 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (14\/(-15))\/((-4)\/33) and -121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 827*y - 825*y = 12, y + 6 = 3*i. Let o = 95 - 45. Calculate the remainder when o is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2384 minus 3107?\nAnswer: -5491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 23 = 10*u - 18*u. Solve 4*y + 5*t - 41 = 0, -4*y + 3*t = -0*y - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3424 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_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: Is 4193842187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of 2*o**7\/21 + 4*o**6\/5 + 6*o**5\/5 - 16*o**4\/3 - 10*o**3 + 36*o**2 + 157*o. Determine m, given that g(m) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 9 = -3*d. Let j be ((-24)\/(-10))\/(d\/(-90)). Suppose 5*y + a - j = 0, 3*a = 2*y + 2*y - 47. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 7*c - 2728. What is c rounded to the nearest 10?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18324, -2.1, 2\/5 in increasing order.\nAnswer: -2.1, 2\/5, 18324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/7)\/(2\/14). Suppose 51 + 85 = i*n. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -3*t**2 - 6*t + 1. Let n = 2 - -3. Let v(s) = -5 + n*s + 5 + 0 + 5. What is 3*c(z) + 4*v(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-7)*1019\/(178325\/(-7350))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - 22 - -41 - (0 + -3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 653790001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -13751 divided by -6\nAnswer: 13751\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two thirds of a week?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(343) + (4*(-1 + sqrt(343)))**2 + sqrt(343)).\nAnswer: -27520 + 1050*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730 a factor of 44258590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c - 49 + 17 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 + 8 + -12)\/(-2). Suppose v = -5*m + 20, -2*m - 22 = -4*x + 62. What is the highest common divisor of x and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5706*m + 467874. Give k(-82).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87689 + 617*z - 338*z + 87689 + 947*z.\nAnswer: 1226*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -4*a + 198 - 190, 32*f + 34 + 5 - 61 - 108 = -2*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -407*a**3*z**2 + 10*a**2*z**3 + 17*z**3 - 17*z - 2 wrt a?\nAnswer: -1221*a**2*z**2 + 20*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -169\/470536 or 1?\nAnswer: -169\/470536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 9, m: 4, s: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 146 and -0.1?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in 2\/5, -0.4, 4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -143 times -34.399\nAnswer: 4919.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + c**2 + 2*c**2 - 6*c**2.\nAnswer: -3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 71*g**2*n**3 + 192*g**2 - g*n**3 with respect to n.\nAnswer: 213*g**2*n**2 - 3*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - 10. Suppose -768 = d*v - 5*v. Let o = -104 - v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/128 and ((-131)\/9 - 0)*4\/8.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 119.999939 + -120. Round l to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, x: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10318359?\nAnswer: 3, 71, 193, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y - 7. Let n(r) = -2*r - 8. Let h(i) = -4*n(i) + 5*x(i). Suppose 8*d - 5*d - 3 = 0. Suppose 3*v - d = -13. Calculate h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.764779nm in centimeters?\nAnswer: 0.0000001764779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2 + 1)\/1)\/1. Let z(n) = 6*n + 2 - 1 + 3*n. Calculate z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.51 + -0.41. Let l = -0.127 - -0.427. Let b = -0.04 - 7.96. What is the third smallest value in l, m, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 (base 15) in base 13?\nAnswer: 30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/5))**(-17)\/(z**(4\/3)\/z**1))\/((z**(2\/5))**44*z*z\/(z\/(z*z**0))*z*z**(-1)) assuming z is positive.\nAnswer: z**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*f = -462 - 1102. Solve -f*d = -37*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3 + 3 - g**2. Let h(t) be the third derivative of t**6\/720 - t**4\/24 - t**2. Let x(n) be the second derivative of h(n). Give x(f(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2891 - 7*k - 2891. Let q(l) = -22*l. Let p(u) = 6*q(u) - 17*s(u). Let x(v) = 4*v**2. Determine x(p(n)).\nAnswer: 676*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6*k**2 + 12*k - 21. Let z be g(-10). Suppose -11*d - 41 = -z. Calculate the greatest common factor of 418 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 1:36 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d - 3354 = 18306. What is the highest common factor of 76 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*d - 180 = 0, -4*k + 116 = 9*d - 6*d. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001201222 (base 3) in base 5?\nAnswer: -2300014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*k**5 - 215*k**4 + 110*k**3 + 60*k**2 - 40*k - 5 = 0.\nAnswer: -1\/2, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 - 529863*o\/2 + 5563341.\nAnswer: (o - 529842)*(o - 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 67470 by 13494.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 63817227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180 and 400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350870165?\nAnswer: 5, 503, 139511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/1)\/(-9 - -10). Let m = 61 - 57. Solve -2*q + q - m*g + 4 = j, 4*q - 2*g + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7605130 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - 11*h**2 - 17*h + 3. Let x be a(-9). Let m be (-26)\/8 + (-3)\/4. Calculate the remainder when (-184)\/x - m\/(-6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -47, -92, 0.463, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5728, 22913, 51556, 91657, 143216, 206233?\nAnswer: 280708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b**2 - 5*b + 2. Let h(k) = -k + 3. What is the remainder when d(3) is divided by h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -7*y**3 - 8*y**2 + 2*y - 7. Let a(p) = 3*p**3 + 4*p**2 - p + 3. Let t(h) = 5*a(h) + 2*d(h). Suppose -2*s + 7*s = -20. Calculate t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 2)*(5*b + 4*b + 0*b + (2*b + 2*b - 2*b)*(0 + 3 - 1) - b - 2 + 2 + (-2 + 5 - 2)*(-1 - b + 1))*(-3*b + 0*b + 5*b)*(-2 + 3 + 3).\nAnswer: 176*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -4, -2, 0 in increasing order.\nAnswer: -4, -2, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2) + -4*sqrt(2)*-4 + 3)**2.\nAnswer: 510*sqrt(2) + 2935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 1657*s. Let t(v) = 2*v**2. Determine t(a(u)).\nAnswer: 5491298*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 160\/100*(-5)\/(-2). Let r = 3 - 3. Which is the second biggest value?  (a) r  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1181767281 + -1181767220.8715509. Let r = -0.8716249 - u. Let j = r + 61. What is j rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*w - 197*w + 267*w + 636*w**2 + 1746*w**2.\nAnswer: 2382*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-10) + (-96)\/(-5). Suppose -v*o + 17*o = -112. Suppose 3*p - 5*y - 44 = 0, 2*p - 3 = -2*y + 5. What is the greatest common factor of o and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 5*o + 37, 5*l - l + 4 = -4*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 394304465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 1009*r. Let c(u) = 18790*u**2 + 3. What is j(c(h))?\nAnswer: 18959110*h**2 + 3027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 1 - -2) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = c + 2. Suppose -c*x + 0*x = -74. Suppose d - x + 13 = 0. What is the greatest common factor of 144 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6 = 6*s. Suppose -54 = -i + 2*d, -3*i + 183 = -d + s*d. What is the greatest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -7*g**2 + 59585*g + 238444. Determine k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/2, 2, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 3)*(h**4 + 0*h**4 - 6*h**4)*(25 - 25 + 4*h).\nAnswer: 40*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h. Let g(q) = -958*q + 22. Let v(x) = -75684*x + 1749. Let s(c) = 159*g(c) - 2*v(c). What is s(l(w))?\nAnswer: -1908*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -232 - -110. Let r = -122.139 - v. Let h = -0.491 + r. Round h to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2218316299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -38, -73, -100, -119, -130?\n\"Answer: 4*h**2 - 47*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52826576767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2557 - -2556.9995239. Round o to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y. Suppose -6 = -2*l - 2*b, 3*b + 0 - 7 = -2*l. Let w(d) = -l*d + 7*d - 6*d - 2*d. What is t(w(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**2 + 4*v + 3. Let k(b) = 2*b**2 - 2*b - 1. Let a = -1340 - -1331. Determine a*k(l) - 4*j(l).\nAnswer: -2*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/3 in -12, -4, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1175 and 1363.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -57  (b) -0.4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1568 and 5733.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21068.79 months to decades.\nAnswer: 175.57325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 0*g - g - 7 = 0, 5*q + 5*g = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/76 + 73\/228. Factor 1\/3*j**5 - j + 2\/3*j**3 + j**4 - 2\/3*j**2 - u.\nAnswer: (j - 1)*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 10, -2\/9, 40, 2.485?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 441498 and 441498.\nAnswer: 441498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464326364?\nAnswer: 2, 163, 712157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - y**2 - y. Suppose -4*a + 9 = -3. Let z be u(a). Let v(s) = -32*s + 685. Let d be v(20). What is the greatest common divisor of d and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**2*l**5 - 89*g**2*l**4 - 19*g**2*l**2 - 2*l**2 + 4*l wrt l?\nAnswer: 120*g**2*l**2 - 2136*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 - 21. Solve b = -u - 4 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ckm when three letters picked without replacement from {f: 1, k: 10, c: 1, m: 7}?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 38 = -0*m. Suppose m = 2*r - 21. Suppose -r = 3*h + h. Let z(y) = -y**3 - 6*y**2 - 6*y - 6. What is z(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**5 + 0*b**5 + 7*b**5 + 3*b**5 + 3*b**5 - 5*b**5 + (-4*b**2 + b**3 + 4*b**2)*(-b**2 - b**2 + 0*b**2).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 145649705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 6 + s + 1 + 0 + 2. Let m = -14 + 8. Give k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65057326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -5. Let u(o) = o - o**q - 5*o + 6 + 9*o. What are the prime factors of u(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -330.193 + 330. Let o = c - 1.177. Round o to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41 - -113. Suppose -5*d = l - a, -2*d - 10 - 469 = -3*l. List the prime factors of l.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-13)\/(-52) + 1*-1.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - f**2 - f**2 - 4 + 0*f**2 as j*f**2 + a*f + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773564961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 + 34 = -4*o. Does 5 divide o\/(-72) - 98\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110010101111001000111 (base 2) to base 8.\nAnswer: -6257107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 5*k**3 + 105*k**2 - 45170*k + 89880 = 0.\nAnswer: -107, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + m - 3*m + 2 - 6 - 26.\nAnswer: -2*m - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 624960 and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 1. Let t(u) = -u**3 + 12*u - 12. Let s be 21\/(-28)*-1 - 15\/4. Let l(r) = s*t(r) + 12*x(r). Solve l(v) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 5*p**2 + 9*p - 6. Calculate o(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 6*n + 1. Let l be -2 + (3 - 3 - -4). Let w(o) = -13*o - 2. Give l*w(t) + 5*q(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/10*(-17)\/(2720\/(-300)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 20*p - 13. Let v be a(-7). Let f = v - -330. What are the prime factors of f?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -562912 - -562934. Let g(a) = -4*a**3 + a**2 + 2*a - 3. What is the remainder when g(-4) is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -134*u + 132*u + 14 + 7*u**3 - 15 + 3*u**4 in the form k*u**4 + t*u**2 + r + b*u**3 + n*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**2 + 6*s - 8. Calculate d(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -693, 131, -0.18 in increasing order.\nAnswer: -693, -2, -0.18, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2693.264ns in milliseconds?\nAnswer: 0.002693264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -37*32\/(-592)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(162) - 2*sqrt(162))) + 3.\nAnswer: 3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40*f**2\/3 + 805598*f\/3 + 40280\/3.\nAnswer: -2*(f - 20140)*(20*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**2 - 142420*k - 1014172820 = 0.\nAnswer: -14242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 85271 by -4108.\nAnswer: -85271\/4108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*h - 254 = 366 + 202 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 282824611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1211884?\nAnswer: 2, 302971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m - 2*m + 456*l = -458*l + 916*l - 14, l - 10 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52004 (base 9) to base 4.\nAnswer: 20113123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(216)*3)\/sqrt(9))\/sqrt(12))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 10*f + 1. Let m(d) = -383*d**3 - 69*d**2 + 20*d + 6. Let i(k) = -m(k) + 2*q(k). What is the third derivative of i(w) wrt w?\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100 divided by -88.\nAnswer: -25\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 684 = -1029*u + 1035*u. Calculate the greatest common divisor of 2400 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1611 a factor of 112544460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -10*f**2 - 349*f - 61. Let r be l(-36). Let m = 460 + r. Let j(h) be the third derivative of -h**4\/4 + h**3\/2 + h**2. What is j(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 + -0.5. Let j be 294\/77 + -4 - 406\/(-2112). Let m = j - -185\/672. Sort a, m, 0.4.\nAnswer: a, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -11*d**2 - 5. Let c(t) = 5*t**2 + 2. Let f(w) = -5*c(w) - 2*s(w). Let z(h) = 2*h**2. Determine z(f(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 36915*h - 56. Let o be b(-6). Is (-2)\/7 - o\/182 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 61 + -37. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6491 is divided by 1840?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 177667\/2 or 88834?\nAnswer: 88834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79143 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2880\/2304*4\/15)\/(1\/(-201)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 10*r + 8. Calculate t(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2819*y + 807*y + 45 - 45 to the form d + j*y and give j.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 35685.969 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 107.12 - 111. Let y = x + -0.12. Let n = 8 + -33\/4. What is the closest to 2\/5 in y, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.825024 minutes in weeks?\nAnswer: 0.0024628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 14, 1, -2\/9, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1041*c**5 + 933*c + 1635*c - 1389*c**4 + 1389*c**4 + 1556*c wrt c.\nAnswer: -20820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2690?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1100720 divided by -4.\nAnswer: -275180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w + 19. Let b = 118 + -116. Let p(m) = 6*m**2 - 12*m**2 + m**2 + 3*m**b. Determine p(h(z)).\nAnswer: -2*z**2 + 76*z - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -2*c. Suppose 3*q - 5*n - 218 = c, 5*n + 101 = q + 15. Suppose -12 = 3*t - q. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(1620) - sqrt(1620)*-1) + -4)**2 - ((-4*sqrt(720) - sqrt(20))**2 + -4*(2 + sqrt(20))**2).\nAnswer: -5923 + 104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*y + 8*y = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -66, -48, 0, 90, 234, 444?\n\"Answer: 2*p**3 + 3*p**2 - 5*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 5. What is the nearest to 0.1 in -0.4, 3, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -20  (c) -199  (d) 4  (e) 1  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5233 (base 8) in base 2?\nAnswer: -101010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f**2 + 15*f - 3. Let m be v(5). Let u(q) = 3 - q**2 + q - 5*q + 2*q. Let c be u(m). Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4320 is divided by 426?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17145 and 35.\nAnswer: 120015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**3 - 392*p**3 + 62*p - 64*p.\nAnswer: -387*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8054519?\nAnswer: 11, 732229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 466631333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {j: 1, a: 2, z: 1, i: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.553 - 2.553. Let f = 0.3 - 0.1. Let j be 2*78\/168 - 8\/(-14). What is the nearest to -0.1 in j, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 884018065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*(j\/j**(-2))\/j)\/((((j*j\/(j**(3\/2)\/j)*j)\/j)\/j)\/j))**(-8\/5))**(-44) assuming j is positive.\nAnswer: j**(1232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (180 + -191 + (-13 - -2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttrttctttzttttz. What is prob of sequence ttr?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1512\/(-598) + 305660\/116870.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/113 smaller than 1.028491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 68796*b**2 - 6539*b wrt b.\nAnswer: 137592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -2, 4\/9, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1100, -1499, -2082, -2849?\nAnswer: -3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 39232031?\nAnswer: 431552341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4430520 rounded to the nearest 10000?\nAnswer: 4430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 7*q + 2. Let l be 28\/(-126) - 148\/(-18). Determine c(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2564 + 2571. Let n(v) = v**3 - 10*v**2 + 18*v - 8. Determine n(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-4) + (-11)\/4. Put y, 3, -9 in ascending order.\nAnswer: -9, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -150 divided by -30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 3*q**4 - 1662*q**3 + 76641*q**2 + 159954*q = 0.\nAnswer: -2, 0, 53, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 4*(180\/(-16))\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + ((-16 - -13) + -3 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 4, -3, -417, -5, -48 in decreasing order.\nAnswer: 32, 4, -3, -5, -48, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5506229, 5506225, 5506219, 5506211, 5506201, 5506189, 5506175?\n\"Answer: -f**2 - f + 5506231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77 - 72. Suppose a*h - 11 = -1. Solve -5*u - 4 = -3*o - 18, -3*u - 3 = h*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/8)\/((-2)\/(-4))*18. What is the greatest common divisor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from hhihhhhhi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -300 + 2*g - 349 + 35 to c*g + o and give o.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -5*p**2 + 15*p + 50 = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-33)*h)**(1\/4)*(((h\/h**(-19))\/h)\/h)**(3\/10) assuming h is positive.\nAnswer: h**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/(-5) - 2) + (-23)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19 by -32.\nAnswer: 19\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29244 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83 - 83. Suppose -58 = -5*v + 337. Suppose l = 4*t + 3*j - v, 3*j + 119 = 5*t - 0*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 94 - 94. Suppose 0 = a - 3. Put 5, l, a in decreasing order.\nAnswer: 5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, x: 3, m: 4, g: 3, c: 2, l: 6}. Give prob of sequence cgm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -327633 (base 8) in base 5?\nAnswer: -12013431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 192 + -83. Let k = a + -108.873. Round k to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 29, 60, 113, 194?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1411396756 - -17?\nAnswer: 16.8588603244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - (1 - -1)) + 18. Suppose -3*x - h = -51. Suppose -5*u - 4*f + 16 = 0, x = 3*u - 2*f - 3. Is 4 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 11 = 1. Suppose f - 6*f = -y*k - 710, k = -5. Suppose -5*i - 22 = -4*s - f, 0 = 4*i + 2*s - 84. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/12)\/((-2)\/18). Suppose q*m + 2*m = 0. Which is the third smallest value?  (a) m  (b) 3\/7  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 4, -1\/10, 151?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1289657*f**4 + f**3 - 3*f**2 + 586121?\nAnswer: -30951768*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10671500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*y - 94*y - 2 + 0 + 431*y - 128*y.\nAnswer: 82*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 11:22 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -91 - -93. Let b be (-520)\/(-56) + 4\/(-14). Suppose 0 = -5*q + s + 1, 2*q + k*s = q + b. Let i(r) = r**2 - r + 1. What is i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12202204*k**4 + 5179568 wrt k?\nAnswer: -48808816*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 138 and 4158262?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-46)\/(2\/(((-14)\/(-28))\/((-20)\/(-8)))).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 3*z**2 - 438*z + 2666. Calculate c(6).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 48945.3182 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*x + 17 - 50, -4*x - 54 = -2*l. Solve -45*p = -42*p - l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 613.2826ml to litres.\nAnswer: 0.6132826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -107506 divided by -53753?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 4 = c, 3*r - c = -6 + 4. Let z(a) = -1. Let l(g) = 5900*g - 5900. Let n(s) = -l(s) + 5900*z(s). Let u be n(r). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1022102 (base 3) to base 2.\nAnswer: 1110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 98123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40 - 10 - -58) + 2 + (1 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36402696 and 121176?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3143578 is divided by 1732.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: 129*(-22)\/(397320\/(-980))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-100)\/22 + (-36)\/(-66)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2663 divided by 4999\nAnswer: 2663\/4999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 95\/8. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58055.13 decades to months.\nAnswer: 6966615.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 193, 163, 69, -125, -455, -957, -1667, -2621?\n\"Answer: -6*q**3 + 4*q**2 + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 420\/(-63)*45\/(-48)*(-224)\/(-40).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -73.1 - -77. Let z = -4 + g. Let n be 8\/20 + 8 + 549\/(-60). Which is the closest to z?  (a) n  (b) 2\/13  (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7135  (b) 14512  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 329 and 17484?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2 + 37*a + 39. Let x be i(9). Is 210 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80058.72 millennia in years?\nAnswer: 80058720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g - 16. What are the prime factors of o(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(476\/(-14)) - ((-63)\/(-7242))\/(50\/500)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 8*n. Let k(y) = -y**2 - 2. Let l(c) = -c**2 - 3. Let m(d) = -3*k(d) + 2*l(d). Calculate x(m(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 34, 49981, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 496041, 486910, 477765, 468600, 459409?\n\"Answer: -g**3 - g**2 - 9121*g + 505164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*q + 52 = 376 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 71 = y - 25, y - 80 = 5*c. Suppose -4*i + y = i. Solve -5*q + q + 1 = j, -3*j = -5*q - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2\/2 - 1764*f + 518616.\nAnswer: 3*(f - 588)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -80732*w**4 - 33405 wrt w.\nAnswer: -322928*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -35*a + 150. Let f(l) = -l + 5. Let t(s) = d(s) - 30*f(s). Let c(j) = -22*j - 2. Calculate t(c(u)).\nAnswer: 110*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2155.762914 + 2161.163. Let g = o - 5.4. What is g rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -399892 - -1?\nAnswer: -399891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**2 + 1. Let u(i) = i**2 + 1. Let o(m) = s(m) - u(m). Let l(v) be the third derivative of -v**4\/2 - 157*v**2 - v. Give o(l(c)).\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**4 + 64362*k**3 + 193136*k**2 - 1029912*k + 772416 = 0.\nAnswer: -6, 1, 2, 32184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.12, -3, -0.01, 74, 0?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*u**2 - 56 + 56 as l + f*u**2 + p*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 1798*a**2 + 110*a + 151. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5591 + (-17)\/((-85)\/(-45))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16771373*n**4 + 7561619*n**2 wrt n.\nAnswer: 402512952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w + 2*w - 5*w + (w + 1 - 1)*(2 + 0 - 1) - 4 - w + 4 - 5*w - 21*w - 16*w + (3 - 1 + 0)*(-3*w + 0*w + 2*w))*(0*w - w - 3*w).\nAnswer: 164*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/3800 and -131\/140.\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (968\/(-24))\/((-2)\/(-2))*54\/1998*111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 136*s + 153. Determine z(-6).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3808 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/7 + 9*g + 66\/7.\nAnswer: -3*(g - 22)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 81*w**2. Let a(f) = -467*f - 9. Let y(x) = -276*x - 5. Let o(b) = -3*a(b) + 5*y(b). Calculate o(z(m)).\nAnswer: 1701*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21.22 and -174.\nAnswer: 3692.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4072259\/50579568 + 198\/27019. What is the common denominator of 89\/30 and a?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 less than -4803216262?\nAnswer: -4803216239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.3 - 1.7. What is the closest to -0.3 in -1\/2, q, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 9*f - 35 = -14*f, 2*f - 14 = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 11, 20, 31, 44?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 89265 + -89261. Factor c*t - 22\/5 + 2\/5*t**2.\nAnswer: 2*(t - 1)*(t + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -11*i + 4. Let f be p(0). Let x(l) = l**3 - 8*l**2 - 5*l + 7. Let c be x(f). Which is greater: c or -78?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -105, -83, -49, 3, 79, 185, 327, 511?\n\"Answer: f**3 + 15*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + a - 1. Let f(v) = -13*v**2 - 11*v + 15. Let n(k) = -4*f(k) - 44*l(k). What is the first derivative of n(x) wrt x?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*n - 138*n - 840 = -71*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n - 67. Calculate r(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxxdx. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -r**7\/105 + 2*r**3\/3 + 7*r**2. Differentiate o(g) with respect to g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b + 6*b + 31371*b**2 - b - 30357*b**2 as u*b**2 + m + f*b and give u.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -8.3. Let p be ((-20)\/(-12))\/(12\/12). Which is the biggest value?  (a) f  (b) p  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 - 18*t + 227. Suppose 37 = 3*k + 4*h, 4 = -2*k - 3*h + 30. Determine i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6579 and 224847?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/31  (b) 5  (c) 7  (d) -2\/15  (e) -44432  (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8\/25 + -2\/25. Let p = 2 + -3. What is the biggest value in p, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/28)\/(8\/(-32)*1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1354 + 2*b**2 - 1354 - 6*b to the form n + y*b + p*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 20709642.6us?\nAnswer: 0.0002396949375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 155697 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Suppose 12 = -r*y - 3*y. Let c = 24 - y. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8458481 is divided by 272854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -1 - 3\/5*c**5 + 0*c**2 + c**3 + 0*c + 0*c**4. Factor k(i).\nAnswer: -3*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13922, -56260, -127012, -226178, -353758, -509752?\nAnswer: -694160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185 is divided by 172.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71569 is divided by 66.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*5*-2*(-2)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/4  (b) -3  (c) -92  (d) -2  (e) -24\/11  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33277 is divided by 474.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-382*d**3 - 567*d**3 - 200*d**3)*(4 + 1 - 4 + (1 + 1 + 2)*(1 + 3 - 3)).\nAnswer: -5745*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10930 - 10930.04969. Let w = s + 0.0519. What is w rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, a: 2, j: 4, h: 1, i: 6, f: 4}. What is prob of sequence af?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = g + 130, -n - 30 = 6*g - 3*g. Is 41 a factor of 285 + n\/(-18)*8\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njcnccnccfccfvfcjcc. What is prob of picking 1 n and 1 c?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**2 + w**2 - 3*w**2)*(-w**2 + 2*w**2 + 0*w**2) + (w + 6*w - 5*w)*(-15*w**3 + 11*w**3 - 5*w - 8*w).\nAnswer: -6*w**4 - 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21) - (sqrt(21) - (sqrt(336)*-2 + sqrt(21))))\/((sqrt(336) + sqrt(21))\/sqrt(7)).\nAnswer: -7*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(((-19)\/(-114))\/((-5)\/(-18))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from -176341211901.912.\nAnswer: -176341211899.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 34657 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 73575, 73576, 73577, 73578?\n\"Answer: n + 73574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 236*o - 475*o + 234*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = v - 29, 0 = 4*b + 2*v - 47 - 0 + 13 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1526*w - 25974 = -136*w + 18900 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 1609 = -3*t, 0*t = -2*c + 4*t + 812. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1395899.\nAnswer: 31, 37, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -105\/152 and 65\/21962024.\nAnswer: 21962024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n**2 - n. Let r be k(-1). Let w = r - 2. Suppose -7 = -4*o - f, -2*o - w*f + 17 = 3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2 + 10*l - 11. Let m be s(5). What is the greatest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -4*f - 2*y + 344, 0 = y + 3. Suppose -7*o + 40 = -f. Suppose 4*h - o = 2*u, -2*u - u - 4 = -2*h. Solve 5 = u*t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 124530b (base 12) to base 10.\nAnswer: 3575675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-14)\/12)\/((-14)\/12 + 1). Let a be (7 + -15 + x)\/((-1)\/1). Solve -7 - a = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 2*o + 1. Let i be s(1). Let n be ((-8)\/(2 - i))\/(-4). Let l = -249\/4 + 62. Is n greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 4*t = -13, a - 24*t + 22*t - 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30740, -30891, -31052, -31229, -31428, -31655, -31916, -32217?\nAnswer: -32564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**2 + 2286158610*u + 261326059503856605 = 0. What is u?\nAnswer: -228615861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (105\/42)\/(-1 - 2\/(-4)). Let q(n) = -n - 1. Let l(t) = 7*t + 4. Calculate i*l(v) - 20*q(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000011011 (base 2) to base 11.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(((d**(-1\/2)\/d)\/d*d)\/d))**(5\/4)\/((d\/(d\/d**(-1))*d)\/d*d)**(-2\/7)*(d\/(d\/(d*d*d**(1\/3))))**(-4\/3)\/(d**(-2\/15)\/(d*d*d**3)) assuming d is positive.\nAnswer: d**(2303\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y - 40*y - 2*y)*(-2*y + 5 - 2 - 1)*(-y + 3*y - y).\nAnswer: 92*y**3 - 92*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - t - 24. Let c be f(-3). List the prime factors of 8\/6*-114*21\/c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -96 - -38 - -135 - -50?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of g**4\/4 + g**3 - g**2 - g - 65. Give l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.6, -550.4, 260 in descending order.\nAnswer: 260, 2, 0.6, -550.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u + u**3 - 6 - 8*u**2 + 3*u + 2*u. Let m be l(8). Find the third derivative of 2*k**2 + 6 + m*k**3 - 6 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2278370 divided by -4\nAnswer: 1139185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**4 + 1576*v**3 + 34036*v**2 - 35616*v.\nAnswer: 4*v*(v - 1)*(v + 24)*(v + 371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 8:12 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = 8*h + 104. What is the greatest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2146 divided by -5173\nAnswer: 2146\/5173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i + 18*i - 20 = 5*h, 5*i = 4*h - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2299)*-2 + sqrt(57)\/(sqrt(9)\/sqrt(3) + sqrt(3)).\nAnswer: -43*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -58 - (-122 - (131 + -321))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-49)\/4 - (-1)\/4. Let t = -7 - g. Suppose -4*r - t*m = -41, -5*m + 9 = -2*r - 8. Solve -2 = -h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/21 + (-58)\/(-7) + -4. Let m be (-7)\/(49\/(-26)) + i\/14. Suppose -3*w + 560 = m*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*p**3 + 76273*p**2 - 164224*p + 23460.\nAnswer: -(p - 5865)*(p - 2)*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -1 + -2)*212728\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42 + -37. Let o be ((-34)\/(-170))\/(1\/z). Let c(w) = w**2 + 2. Let p be c(0). Solve o = 3*d - 4*g - p, -5*g = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-378)\/(-84)*(-4)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, -1\/18, 17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2315980 to the nearest ten thousand.\nAnswer: -2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (8 + -11) - (15 - -46)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -72\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3770172080 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iis when three letters picked without replacement from {h: 2, x: 2, q: 3, s: 2, i: 2, w: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 4:18 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 1755*d - 1760*d + 75, -87 = -5*d + 3*z. Solve 3*q + d = -0*q + 3*b, -3*b = -2*q - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/2, 13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 351 and 3627.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g - 7. Let m = -24 - -88. Let t = m - 46. Suppose -2*h - h + t = -2*d, -4*h + 2*d + 24 = 0. Determine f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 3  (b) 115  (c) 7\/16  (d) -1.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -16*j - 10. Let g be p(-7). Let m = 12433 + -12382. Calculate the greatest common factor of g and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 8:06 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 - 10*i**4 + 5*i**4)*(8 + 284 + 49) - 5*i**4 + i**4 + 3*i**4.\nAnswer: -1365*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 18*m**2 - 20*m + 19. Let n be l(19). Suppose -38 = -n*r - 2*r. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from qlhhlhhllbllbbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 66 = v, -2*p - 345 = 5*v - 0*p. Let m = -34 - v. Suppose -4*h - 3*y + m = 0, -4 + 3 = y. What is the lowest common multiple of 4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10.1483*-0.8.\nAnswer: -8.11864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 6*q**3 + 1651*q**2 + 275*q + 11. What is w(-275)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77940?\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*1\/7)\/(150\/250*(-5)\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289121 is divided by 96278?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -3*k**2 - 1\/525*k**7 + 1\/15*k**4 + 0*k - 1\/15*k**3 + 1\/75*k**6 - 1\/25*k**5 + 0. Find q such that s(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 202 + 5*a - 200 - 338*a**3 - 432*a**3 - 41*a**3 to z*a**2 + b + i*a + g*a**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.8 - 4.4. What is d rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60347 (base 12) to base 4.\nAnswer: 132133213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -10033.\nAnswer: 1\/10033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4333 + 7349. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -7.6  (b) 1.04  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -419*j**2 - 25158 wrt j.\nAnswer: -838*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 151 and 6.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*j = -23*j + 12. Suppose 5*s + 6*n - 13 = 4*n, -10 = -3*s + n. Solve -4*f - 2 = 3*h, -s*f + j = -5*h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h + 5 - 5)*((2*h**2 + h**3 - 2*h**2)*(2 - 2 + 1) + 369*h**3 - 166*h**3 + 306*h**3).\nAnswer: 2550*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 54008839 a multiple of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x**2. Let t(p) be the second derivative of -p**3\/6 + p. Determine t(f(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzvz when four letters picked without replacement from {v: 3, r: 1, z: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7292770.\nAnswer: 2, 5, 19, 131, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 0*o - 5\/6*o**3 - 2 + 1\/240*o**6 - 1\/15*o**5 - 19\/48*o**4 + 32*o**2. Factor p(y).\nAnswer: (y - 10)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*d = -241*d - 55*d + 29848. Let y(k) = 3*k + 4. Let n be y(3). What is the highest common factor of d and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 27\/3 - (-1)\/(-1). Let w be ((-10)\/a + 1)*-8. Suppose 2*j - 5*m - 24 = 0, 2*j + 0*j + 4*m = 6. Sort j, 3, w in decreasing order.\nAnswer: j, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 10:20 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4*i = 108, 4*i - 106 = -4*k - 14. Suppose -25*z - k = -30*z. Suppose z*n = 11*n - 18. What is the third smallest value in -0.3, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.611 + 4.41. Let t = y + -0.099. What is the smallest value in 14\/5, -5, t, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34113 - 120?\nAnswer: -34233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*w - 3*w. Suppose 4*c = -2*s + 2, -3*c = 2*c - 3*s - 19. Suppose 0 = i + c*i - 72. What is the highest common divisor of i and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/9450 and 71\/686070?\nAnswer: 3430350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1733 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 26*q - 7*q - 9*q - 2 + q**2 - 14*q. Let x be t(4). Which is the smallest value?  (a) x  (b) 5  (c) 1  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 5:36 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -851 + 5818. What is the remainder when k is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y + 1. Let a be j(-1). Suppose 7*m - a*m - 108 = 0. Let t = -21 + m. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3776543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4424 is divided by 340.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -13. Let n = r + -1. Solve 0 = 2*b + n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1815245799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -24.237731769\nAnswer: -25.237731769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b + 4*b - 2*b + (1 + 2 - 1)*(-b + 2*b + b) + 3*b - 2 + 2 - 2*b - 2*b + b + (b + 5 - 5)*(6 - 3 - 2) + 4*b + 2*b - 5*b + 0 + 0 - 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 136 = -o - 3*o, -221 = 5*y - o. Let w = -20 - y. Suppose 0 = 2*n - w + 2. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 227 = -7*j - 4*z, 3*z = -2*j + 153. Find the common denominator of -27\/10 and 6\/(-44)*j\/(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*4*-2*3*sqrt(3)*1*-5)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31542*6.\nAnswer: -189252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -161751151 - 1?\nAnswer: -161751152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31914 and 2187?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3347.99952816 - -3348. Round q to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = h - 0*h - n, -4*h + 5*n + 5 = 0. Factor 1 + 2*d**3 + 10*d - 2 + 8*d**2 + h.\nAnswer: 2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-33))\/((-18)\/33)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 72 = -10*x - 4*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18358?  (a) -7  (b) 2\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5281696 divided by -4964.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-11))\/(1*4\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*y = -3. Suppose -5*g - 12 = -y*g. Let i = g + 5. Is i at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((sqrt(768)*2 - sqrt(768))*-3 - sqrt(768))\/(-1*sqrt(4)*-1*-1))**2.\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9410 or -254?\nAnswer: -9410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1970447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 4*c**2 - 5*c - 3. Calculate o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -185*c + 72*c - 675 - 568 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**5\/36 - 5*r**4\/72 - 3*r**2 - 2*r - 54. Let g(w) be the second derivative of m(w). Solve g(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 10:31 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (480\/(-45) - -9)*(-1 - 2). Which is the closest to 1\/4?  (a) 4  (b) i  (c) -0.2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 30 + (-28 - (-11 + -9))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 0. Suppose 0 = -4*g + 20, 3*m + 3*g - 40 = -z*m. Suppose 0 = -4*i + 5*o + 36, o = -m*i + 2*o + 24. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s**(-8\/3)*s)*s*s*s*s*s**(-5))**(2\/5)\/(((s**0\/s)\/(s\/(s*(s**(6\/5)\/s)\/s)*s))\/(s**5\/s*s*(s\/s**(-2\/5)*s*s)\/s*s)) assuming s is positive.\nAnswer: s**(178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 38 - 127 = -134 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - l = -900, -2*l - 941 = 5*b - 3191. Suppose -5*z + b = 85. Suppose 4*d - z = -5*a, d + 3*a - 5*a - 28 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (24\/(-6) - 10)\/(11\/1) and (3\/5)\/1 + 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52.5*2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 1\/4, -0.0262, -5, -1\/2, 12, -0.43?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/20 - (-8834)\/35*-94. Is p\/(-4) + 8 + 3\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 + -19. Let v be ((-11)\/(-4))\/(1\/(8\/2)). Suppose -21 - 562 = -v*y. What is the remainder when y is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -15, -5, -209, 2, 1, -1 in decreasing order.\nAnswer: 2, 1, -1, -5, -11, -15, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1184\/64)\/(15\/(-60))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37 - -89. Suppose -108 - u = -8*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.4, 7, 1, -107.6 in decreasing order.\nAnswer: 7, 1, -1.4, -107.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12 and 446265.\nAnswer: 5355180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + y + 4 - 2*y + y + 3*y + (3 - 1 + 0)*(5*y + 0*y - 3*y) + 0 + y + 0 - 2*y + 3*y - 2*y)*(-2 - 4 + 5).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**7\/3780 + g**6\/135 - g**4\/8 + 5*g**3\/6 + 31*g**2 + 1. Let t(r) be the second derivative of k(r). Let t(j) = 0. What is j?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c**2 + 10*c - 38. Let i(t) = -5*t**2 + 28*t - 110. Let d(a) = 3*i(a) - 8*k(a). Give d(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 969.656 years?\nAnswer: 0.969656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - u**2 + 3)*(3*u + 4*u - 5*u) + (u**2 + 2*u**2 - 2*u**2)*(-3*u + 2*u + 0 + 2) + 5*u**3 - 11 + 11.\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000583785 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1855)\/(-106)*4\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/4 + 0)\/2. Let b(z) be the first derivative of 3\/2*z**2 + a*z - 1. Let j(h) = 2*h**2. Calculate b(j(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 2 = -3*r + o, -2*o = 2. Suppose -3*q - 968 = -4*z, -4*q - 256 = r*z - 1224. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -347 and 5?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110 + -102?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4176\/360)\/(1\/(-25)). Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -84c1 (base 15) to base 3\nAnswer: -1102112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -306 - 169 - h**2 + 665 - 165 + 0*h**2. Suppose 5*d = -10, 3*u - 8 = -6*d + d. Calculate f(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36952*u**5 - 66448*u**2 wrt u.\nAnswer: 2217120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + 3. Let m be ((-260)\/u)\/(3\/(-6)). Calculate the remainder when 6 is divided by (-1 - 0)\/((-13)\/m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4296 - -4296.05. Which is the nearest to -0.1?  (a) x  (b) 0.2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z*z**(2\/5))\/z)**(2\/7)\/(z*z**4*z*(z\/(z**(-1\/8)\/z)*z)\/z)*((z\/(z**(2\/7)*z))\/(z\/(z\/z**(1\/2))))\/(z**5*z**(-1\/3)) assuming z is positive.\nAnswer: z**(-1547\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from klkkzzytyyyekez. What is prob of sequence zz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 10110001222 (base 3) to base 5\nAnswer: 4132400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1392, -28808.\nAnswer: -28808, 1, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -20*q - 160. Let f be d(-8). Let i be -1 + 1 - (0 - 75). Suppose f = 4*n - n - i. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 + -18. Let w = q - 5. Let u = 27.0052 - w. What is u rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*p**5 - 29*p**4 + 38*p**2 + 14*p wrt p?\nAnswer: -1320*p**2 - 696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4349, 8413, 11983, 14813, 16657?\n\"Answer: -41*t**3 - t**2 + 4354*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 215789 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-108)\/(-165)*735\/(-294)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3 + ((-1*sqrt(1377) + sqrt(1377))*-3 + sqrt(1377))**2 - (-2 + (sqrt(2057)*-3)**2*-6)).\nAnswer: 562270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 637510.\nAnswer: 2, 5, 37, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 2 - 14 + (2 - 1 - 2)*(6 - 2 - 3))*(-w + 3*w - w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.86439 meters to centimeters.\nAnswer: 7686.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4520 + 232.19\nAnswer: 4752.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 43557407137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -1706*p - 476127. Give y(-279).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 4*f + 25, -3*b = -6*b - f - 2. Let n = -622.93 - -619. Let p = n - 0.07. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, -121, -360, -695, -1126, -1653, -2276?\nAnswer: -2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 1. Let r(f) be the second derivative of -f**4\/12 - 15*f**2\/2 + 4*f. Let g(s) = -2*q(s) + r(s). Let m be g(4). Solve m = -c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 5. Let q be c(0). Suppose -2 = -2*p, -5*p + 9 - 59 = -q*f. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -76 - 45?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t. Suppose -2*g + 5*q = 12, 4*g + 2*q + q = 2. Let m(j) = -2*j**2 - 2*j**2 + 4*j**2 + 3*j - 5*j**2. Determine g*m(w) - 3*v(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-5)\/(-5)))\/((-18)\/(-3))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5856309, -11712619, -17568929?\nAnswer: -23425239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 3494367599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 5. Let h be y(0). Suppose 7*c = 3*c. Let j = 1113 + -1109. Sort c, j, h in ascending order.\nAnswer: c, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2038*p*v + 41925488*p + 2823*v**4 wrt v?\nAnswer: -2038*p + 11292*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.635 + 0.365. What is the smallest value in 0.17, -2, 2\/7, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -803 + 774 - 53*d**3 - 6*d**3 wrt d?\nAnswer: -177*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.673324 to 3 dps.\nAnswer: -0.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 36636 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - g - 4, -5*d + 4*g = g. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4006*b - 32631 = 62694 + 36873 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51014309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 divided by 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-47)\/(-3) - (-3)\/9. Solve -5*t = -2*q + 14 + b, 0 = 4*t - 3*q + 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 6 - -5) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 5*x**2 + 15*x - 78. Is 9 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*m - 6, 2*q + 4*m = 8 - 2. Let s be (-200)\/90 - (-8)\/36. Sort -3, q, s in decreasing order.\nAnswer: q, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 4*h**2 + 29*h**2)*(-h + 4 - 4 + 4 - 4 - h + (-3 + 2 + 2)*(-2*h - 5*h + 5*h) + 2*h + 3*h - 2*h)*(6 - 6 + 25*h + (-5*h + 2*h + 2*h)*(3 + 0 - 2)).\nAnswer: -672*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -13, -3, 21, 65, 135, 237, 377?\n\"Answer: w**3 + w**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7992770*-0.06\nAnswer: 479566.2","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Let r be -3 + 3 + (-4)\/(-92456). Let s = -167135\/69342 + r. Let v = -2833\/156 - s. Calculate the common denominator of v and -76\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + l = -2*c - 18, -c + 12 = -2*l. Suppose -72 = c*i - 11*i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4202*q + 96641. Determine h(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -182726?\nAnswer: 91363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 0. Let s(o) be the second derivative of o**4\/12 - o**3\/6 - 4*o + 4. Let d(r) = -45*r**2 - 20*r + 21*r + 49*r**2. Determine m*d(q) + 3*s(q).\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-85)\/(8840\/(-156))*(238\/(-21))\/((-2)\/6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(45) + sqrt(5) + sqrt(5) + sqrt(45) + 1 + 5*(sqrt(125)*-2 + sqrt(125)).\nAnswer: -17*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1103134 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1262043.49 rounded to the nearest 1000?\nAnswer: 1262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h**3 - 6*h**2 - h + 1. Let p(w) = w**3 + w**2 - w - 1. Let j(v) = a(v) + 2*p(v). Let i = -57 + 53. Calculate j(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 18*f**2 + 24*f + 104. Determine x(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/1235 and 21\/226446085.\nAnswer: 2943799105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 84\/15*(3 - (-78)\/4). What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 32*d**2 - 84*d - 72.\nAnswer: -4*(d + 2)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 6*h - h. Let l(g) = -4*g**2 - g + 1. Let d be l(1). Let x be ((-6)\/2)\/(d\/h). Which is the closest to -0.2?  (a) -3\/7  (b) x  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - 1 - 1)*-1. Let x = d - -47. What is the remainder when x is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -51*k - 4. Let u(q) be the first derivative of 357*q**2\/2 + 27*q + 8018. Give -27*b(g) - 4*u(g).\nAnswer: -51*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 7*r**5\/6 + 31529*r**4\/6 - 219308*r**3\/3 - 835876*r**2\/3 - 69208*r + 307224 = 0.\nAnswer: -4518, -2, 6\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + d + 19. What is h(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 6607*f - 2520*f**2 - 58320 - 7*f**5 + 2*f**5 - 205*f**4 + 38569*f - 2360*f**3 + 184*f = 0.\nAnswer: -18, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aq when two letters picked without replacement from affq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1148159 divided by -337\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(700) + -4*sqrt(700) + -2)*-5 + 5.\nAnswer: -600*sqrt(7) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 2*o = 6733 - 6723, -2*g = 3*o + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 177 - 109. What is the common denominator of 3\/(-2)*(-174)\/(-36) and 4\/16 + h\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 5*l - 4. Let b be t(-5). Let x be 16\/(-40) - b\/10. Solve -v - 5*f - 15 = x, 5*v + f + 2*f + 31 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 23 + 115652?\nAnswer: 116005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*t**2 + 25*t**2 - 10*t**2 + 17*t**3 wrt t?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 - 6*h**2 - 2*h**2)*(163*h**2 + 406*h - 406*h)*(3*h + 2*h - 6*h)*(-2 + 3 - 3).\nAnswer: -1956*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 12, j: 7}. Give prob of sequence yyj.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*i**3 + 90*i**3 - 345*i**3 + 90*i**3 + 81*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*t - 5. Let d be (4\/(-36))\/(t\/(-12)). Suppose 2\/3*c**4 + 0*c**2 + 4\/3*c**3 - 4\/3*c - d = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15356?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-40)\/70*(-77)\/(-726). Which is the third biggest value?  (a) 11  (b) 0  (c) n  (d) 2  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -56 (base 7) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -116343\/7 + 16622. What is the smallest value in -0.1, -2.8, h?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**4\/5 - 2*j**3\/5 - 13*j**2\/5 + 14*j\/5 + 24\/5 = 0. Calculate j.\nAnswer: -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 58, 0, 19, 182, -6, 7 in descending order.\nAnswer: 182, 58, 19, 7, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -65143, -260628, -586459, -1042636, -1629159, -2346028, -3193243?\n\"Answer: -65173*w**2 + 34*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2740 and 67404?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 114445304 (base 6) in base 4?\nAnswer: 20111013220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -656 (base 9) in base 16?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 314 = 3*f - 5*w, 5*f = 4*w + 554. Suppose 78 = 4*r - f. What is the least common multiple of 42 and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-75)\/12)\/5)\/((-1)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 283.82432 - -0.06568. What is m rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from kskksskksksk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -40360*d*j**3 + d*j**2*x + 33035*d*j**2 - 2*d*j*x + 6*j**3*x wrt j.\nAnswer: -242160*d + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3198691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55.9 - 56. Let s = 12 - 13. What is the fourth smallest value in f, -4, -1\/2, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/19, -3\/227, -0.4, 14?\nAnswer: -3\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1283*j**2*r**2 + 9879*j**2 + 2*j*r + 2*r**2 wrt r.\nAnswer: 2566*j**2*r + 2*j + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 114\/22 - 142\/781. Suppose 2*m - 7*t - 1558 = -10*t, -3895 = -d*m - t. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.03 + 0. Let j = 0.2275 - 0.1275. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -169398 * -0.52.\nAnswer: 88086.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1778 and -67\/5334.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -h**4\/6 + h**3\/3 + h**2. Let o be p(-4). Let z = o - 6. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3291678 * 0.3\nAnswer: -0.09875034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(-9)\/252*28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -32190 divided by -1073?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qyal when four letters picked without replacement from qlfafqyl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q**2 - 2*q + 1. Let m be z(1). Suppose 2*x = 4*c + 20, 8*c = m*x + 12*c + 20. Solve -3 = u - x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -0*a + 2*a. Is a != -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 1205529?\nAnswer: -120552b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 19 - (-553 - -541)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -16, 3, 4, -178, -3 in ascending order.\nAnswer: -178, -16, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46695*o**3 + 204534*o**3 - 79809*o**3 + 84772*o**3.\nAnswer: 256192*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 85. Let c(n) = -n**3 + n**2 + 3*n - 24. Let r be c(0). What is the remainder when u(r) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 0 + 2\/2. Let a = -15812 + 15811. Let x(f) = f**3 + 7*f**2 + 8*f + 8. Let w be x(-6). Sort i, w, a, 1.\nAnswer: w, a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 926701523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*b, 0*b - 5*b = s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14113 by -5.\nAnswer: 14113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*r = -7, 0*w + 5*w = 2*r + 10. Suppose w*a = 2*x + 842, 3*a = 3*x - 4*x + 629. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 12:44 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -25, 2*f - f + 21 = m. Suppose 2*n + m = -8. What is the remainder when ((-8)\/n)\/((-3)\/(-90)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.07 + 0.93. Which is the nearest to k?  (a) 0.5  (b) -2\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-9) - (-35)\/3. Let l = 573 - 568. Solve -n + 3*n = 2*q - a, l*n = -2*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - 10\/(-8))*8\/(-3). Suppose 4*v = -3*g + 2*g + 36, 3*g + 20 = 4*v. Suppose 8 = 4*i - 4*o + 2*o, -5*i + 2*o = -v. Solve x*b + b = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000120 (base 3) to base 10.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3\/8)\/a**2)\/(a**(-1))**33)**(-5\/6) assuming a is positive.\nAnswer: a**(-1225\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -19040, -18939, -18856, -18797, -18768?\n\"Answer: -m**3 - 3*m**2 + 117*m - 19153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 - -26. Suppose -z + 3*j + 6 = z, -2*z = -j - 2. Suppose 4*n - 2*u + 26 = z, 4*n + u + 23 - 6 = 0. Sort d, n, 0.3 in decreasing order.\nAnswer: d, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*s = -10*s + 172 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/6*(-2 + 0 - 1). Factor 2\/5*i**x + 0 - 2\/5*i + 0*i**2.\nAnswer: 2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + sqrt(1700)) - (-4 + 2 + sqrt(1700)))**2 + (2 + sqrt(1700) + -1)**2 + (3 + sqrt(1700) + 0)**2.\nAnswer: -200*sqrt(17) + 86714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 24 = 5*o, 12 = -2*h - 3*o + o. Let i be (12\/(-9))\/((-2)\/h). Let b(u) = -u**3 - 5*u**2 - 4*u - 1. Determine b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 537419 is divided by 689.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 10*h. Let i(z) = 32*z - 61*z + 32*z. Give i(f(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + t + 15. Suppose 109 = 5*p - 2*n + 61, 5*p + 3*n - 28 = 0. Determine u(p).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1912036.8 to the nearest ten thousand.\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*b + 34 = d, 0 = 5*b + 10. Let c be (d\/(-21))\/(2\/(-14)). Suppose -3*s = s + c. Is s smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-7 - (-3 - 4))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from {s: 1, k: 1, x: 2, n: 1, c: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751634 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1750 by -5.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -5*j**2\/2 - 6121*j - 2448 = 0.\nAnswer: -2448, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1686556 is divided by 52703?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -733 - 4096 = -85*n - 354*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 132\/(-11)*12*(-10)\/270\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z - 3915 + 23129 = 0. Let b = z + -4063. Let p = b - -3904. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -60508349.\nAnswer: -60508347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11604798 to the power of 1\/2, to the nearest integer?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5320.112 millilitres to litres.\nAnswer: 5.320112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -712.8463 + -0.1537. Let h = x - -712. What is the closest to 2 in h, 0, -2\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 5*i + 25 = -q, -33 = -2*i + 5*q. Suppose 2*d - i = 22. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187891063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dojjojdddd. What is prob of sequence dddo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 t when four letters picked without replacement from {u: 17, t: 2}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w + 168. Let y be l(0). Let p = y - 79. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8266807.58+-0.065\nAnswer: 8266807.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -11. Suppose -4*k - h*a + 5 = 0, -k - a = 2*a + 1. Solve -k*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116 + -67. Suppose 16*u - f = 31. Let w be -5*(1 + 9\/(-5)). Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-6) + (-93)\/(-9). Suppose 0*y = -5*y + f. Suppose 5*i + 2*h = i, 2*h + 10 = i. Solve r - 9 = -i*t, 3*t - y*t - 4*r = -18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 - 37 + 4117*i**2 + 51*i + 28 - 142*i wrt i?\nAnswer: 8234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -2  (c) -1\/6  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {s: 2, r: 5, w: 1, y: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1850 or -486334\/263?\nAnswer: -486334\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -78 - -81. Suppose i + x + 4 = -3*f, -3*f = -4*i + 32. Solve -3*a - i = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*285\/190*2\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -69*z**3 - z**2 + 1047*z + 1049. Calculate k(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37419523 to the power of 1\/2, to the nearest integer?\nAnswer: 6117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -5*i**2 + 8*i - 5. Let k(d) = d**2 - 39*d + 143. Let a be k(4). Determine j(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21000000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 - 70\/12)*-32*(-4)\/96. Factor 72 + 8*n + p*n**2.\nAnswer: 2*(n + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from fkffkkfpkkkkkk.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23873 - -23878. Solve -4*r = -7*r + 2*g - j, -r - 2*g = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 280 and 0.2798?\nAnswer: 78.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 1. Let k(g) = -2*g**2 + 4. Let s(i) = -k(i) + 4*q(i). Let r be ((-2)\/6)\/(2\/(-30)). Let a(y) = r*y + y - 4*y. Calculate s(a(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6997 or 69\/11?\nAnswer: 69\/11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 3*f = 55 - 62, -7*f = 11*a - 7*a - f + 62 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -1 + 4. Let p(u) = u**2 + 5*u - 2. Let c(d) = -d + 1. Let t(v) = g*p(v) + 3*c(v). Solve t(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 691 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p*p**5*p)\/p)**(-21)*p**(-1\/3)\/(p**(-9)*p) assuming p is positive.\nAnswer: p**(-481\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -742 - -755. What is the remainder when 166 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 + -31. Solve c - q + j = 1, 5*q = -2*c + 33 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8305.4 - -8305. What is the third biggest value in d, -2\/7, 197?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32 or -0.7?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5138 (base 9) in base 13?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (-17)\/((-1547)\/(-1066))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 95\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/35)*t**(-26))\/(t**(-4\/13)*(t\/(t\/(t*t**15)))\/t) assuming t is positive.\nAnswer: t**(-18541\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-32)*12\/18*-2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 607\nAnswer: -5\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -186*z + 3. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7773590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1661 divided by -3\nAnswer: -1661\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 3*f - 147, 0 = b + 3*f - 0*f - 29. Suppose 3*a - 6*a = 180. Let m be 12\/10*a\/(-18). Calculate the highest common factor of b and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -66 + 146. Let g be (-14)\/28 + (-10)\/(-4). Let x be 1\/(-4)*g*-20. What is the highest common factor of x and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.843734 rounded to 2 decimal places?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/(-114))\/(2\/(-9)). Suppose -5*k = 5*s - 10, -13*s = -12*s - 3. Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11476.\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14482847 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 242 and 3289.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 14\/(196\/611450) + -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -561*x**2 + 3553*x - 13. Let w be f(6). Sort 2, w, -1 in descending order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452349 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, z: 1, f: 1, k: 1}. What is prob of sequence fm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 256408.\nAnswer: 2, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724427 is divided by 152.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 195. Let t(c) = -c + 209. Determine -6*n(o) - 5*t(o).\nAnswer: -o + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 812*s - 7*s**2 - 812*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/6 + 17482*n\/3 + 152810162\/3.\nAnswer: (n + 17482)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 38 - 424. 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: Which is the nearest to 0.3?  (a) -0.5  (b) -2  (c) 14  (d) -0.4  (e) 61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 5:22 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m**3 - 9*m**2 + 35. Let d(s) = s**3 - 4*s**2 + 18. Let x(o) = 3*b(o) - 7*d(o). Let w be x(0). Let u = w + 25. Solve -u*p = p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*i - 5*z - 6 = 114*i, -4*i = 4*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6108\/469*(-1)\/2. Let x = -4\/67 + z. Let v = x + 789\/119. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18.3 + 17.9. Put w, -4, -30 in descending order.\nAnswer: w, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-138)\/23*(-272)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102189?\nAnswer: 3, 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21819.2 + 21818.799988. Let g = p + 0.4. Round g 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 132323406.\nAnswer: 2, 3, 613, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 1 - -4 - (1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170945?\nAnswer: 5, 179, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -13*l**2 - 1. Let x(i) = -14*i**2 - 1. What is -4*u(z) + 3*x(z)?\nAnswer: 10*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 822 + -7399\/9. What is the closest to 0.8 in 5, 1\/2, 6\/7, s?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 15*l - 11. Let m be f(8). Suppose -2*n + 85 = -m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 times 31026.99\nAnswer: -2730375.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 15*(12\/(-8))\/(15\/(-6))*(-153 + 148)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 303 and 9.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1646799.\nAnswer: 3, 7, 11, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 1. Let s(n) = -n + 13. Let a be s(7). Let d be (4 + -1)\/(9\/a). What is the third smallest value in d, q, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2 + 3 - 13116*c + 0 - 2 - 11172*c. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 12. Let s be 37\/(-7) + 6\/21. Which is the biggest value?  (a) 3  (b) f  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + h = -y - 7, 0 = -4*y + 2*h + 10. Suppose u - 3 = -0*u. Let x(n) = -n**2 - u*n**3 + 4*n**3 - 2*n**3. Determine x(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6*-5.8\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-6))\/(15\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1635626011 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 343368, -3, 3, 6 in decreasing order.\nAnswer: 343368, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 851142, 851140, 851134, 851124?\n\"Answer: -2*a**2 + 4*a + 851140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 18005*m**2 - 18122*m**2 + m + 4*m to the form f*m**2 + i + b*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -77424, 0.2 in descending order.\nAnswer: 0.2, 0, -2, -77424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6319 + 6683. Calculate the remainder when z is divided by 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 10360*u - 34 = 10357*u, 4*b = 4*u + 20 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -w**5\/10 - 149*w**3\/6 - 51*w**2 + 97*w + 1. What is the first derivative of k(q) wrt q?\nAnswer: -6*q**2 - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 2)\/((-1)\/3). Put 2, 4, j in decreasing order.\nAnswer: 4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16797.94 to the nearest 10.\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 28751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - -482c?\nAnswer: 4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -763, 26641 in decreasing order.\nAnswer: 26641, 2, -763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*n - 2*n + 2*n + 2*n - 2 + 2 + (n - 4*n + 5*n)*(-2 + 0 + 0))*(-12*n + 19*n + 24*n)*(2 - 2 + 2)*(2 + 4 - 4) in the form t + x*n**2 + g*n and give x.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 8, 1, -1, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/5)*l**(-5\/6)*(((l*l**(-26))\/l)\/l)**35 assuming l is positive.\nAnswer: l**(-28369\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6361282680 to the nearest integer?\nAnswer: 79758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-20 - (-14 - -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.117 + 0.017. What is the biggest value in y, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-2\/5))**(-6\/19)*(t*t**(-4\/15))\/t**(-2\/11) assuming t is positive.\nAnswer: t**(1483\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -23, 2, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/63 + 13 + (-214)\/42. Calculate the greatest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371*b - 375*b = 8*h - 80, 2*b - h - 4*h + 68 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15126123?\nAnswer: 3, 151, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dtb when three letters picked without replacement from {e: 1, z: 1, k: 1, b: 1, d: 6, t: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16761536?\nAnswer: 2, 11, 29, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 5:17 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7069 (base 14) to base 2.\nAnswer: 100101101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/3*48\/(-32). Suppose -3*z + 23 - 263 = -3*i, 0 = -2*z - 5*i - 167. Let w = z + 1217\/15. Which is the closest to t?  (a) w  (b) 0.13  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 58*y - 778. Give u(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 1. Let i = 54 + -57. Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 896 = 5*a, 35 = -5*n + 2*a + 1580. Suppose 0 = -7*y + n + 2353. What are the prime factors of y?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**5\/11 + 30*f**4\/11 - 800*f**3\/11 - 11560*f**2\/11 + 80640*f\/11 + 100352 = 0. Calculate f.\nAnswer: -16, -11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000565507 to five decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32 - -17. Let u = f - 46. Let d be 2 + 4 + 42\/(-10). Is d at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.019 - -12.981. Which is greater: y or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -461672609 - 2.\nAnswer: -461672611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -134043103 (base 6) to base 8\nAnswer: -12260557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 13, 3, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 133441420442?\nAnswer: -133441420444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (-1 - -3*3). Suppose -2*g + 3 = -m. Calculate the lowest common multiple of 2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g. Suppose 0 = 4*r + l + l - 88, 2*r + 5*l - 28 = 0. Let p(m) = 27*m**2 - 11*m + r*m - 13*m. Give p(j(s)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104403 (base 5) to base 7.\nAnswer: 13604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 7*z**2 - 3*z - 8. Let m(p) = -5*p + 5*p + p**2 - p. Let t be m(3). Let a be g(t). Calculate the highest common factor of a and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-60)\/(-21)*14\/4*4 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*k - 1 = 0, 5*s = -4*k + 7 + 12. Let b = 5 - 7. Let o be 0\/(b\/4*4). Solve o*f = s*f + 4*n + 11, 2*n = 2*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-53969980)\/70 + (-1)\/(-7)*-2. What is z rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 5.42\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 1 + 1 + -53 + (23 - (-2 + -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/10)\/((120868\/(-268))\/60885)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05273 and 12058.\nAnswer: 635.81834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/600)\/((-58)\/348)*10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/53)*y*y**(2\/21))\/(y**(-3)\/((y\/y**1)\/y)) assuming y is positive.\nAnswer: y**(3403\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181169 is divided by 1579?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, o: 7}. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 109 + 305. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1998033539.\nAnswer: 2399, 832861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = 5*x + 39. Let c(t) = -t**2 + 12*t + 26. Calculate the remainder when c(x) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 7488903?\nAnswer: -7488903.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -d + j - 1, -2*d + 3 = -3*j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001110 + -11?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5664015991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6577488 and 528?\nAnswer: 72352368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -70920 take away 16.66?\nAnswer: -70936.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 11:02 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -3140?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 6*m**2 - 8*m - 14. Suppose -2*h = -6*h + 20. Let l be n(h). Let d = 109 - l. Solve 2*t = 5*q + d, 1 - 5 = -5*t + 3*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6610 + 32617?\nAnswer: 24007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9163 - 9163 + 34*j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10833049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1*q*q**(4\/11)\/q)**7\/((q**2\/q**(-2\/5))\/(q\/q**(-6)*q**3)) assuming q is positive.\nAnswer: q**(943\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2430)\/(-324)*96\/10. Which is bigger: q or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162144\/27024 - 1\/((-1)\/(-37)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f + 4. Let i be g(-3). Let m(v) = 3*v**2 + 2*v - 1. Let u be m(i). Let q = -871\/5 + 174. Which is the biggest value?  (a) u  (b) q  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*u + 13*u + 11*u)*(4*u - 8*u - 14*u)*(-2*u**2 + 5*u**2 - 2*u**2) to a*u**2 + s*u**3 + k*u + q*u**4 + i and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80320377?\nAnswer: 3, 37, 723607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1597 - -7.7851. Let s = -0.0712 - h. Let k = -8 - s. Round k to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (405\/25 - (-1)\/(-5)). Suppose 4*r - 22 = -v. Solve -10 = -p - p, -r*q = p - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 99, -137, 1, -45, -27 in increasing order.\nAnswer: -137, -45, -27, 1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, 2\/5, 0, 1\/108, 3\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 + 5*l + 6*l**3 - 5*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x + 5. Let o(w) = -w - 3. Let c = 15 + -6. Let u(k) = k**3 - 8*k**2 - 9*k - 6. Let r be u(c). Calculate r*z(i) - 10*o(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -167\/30 and 77\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433449548 to the power of 1\/2, to the nearest integer?\nAnswer: 37861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -22137007.\nAnswer: 2213700.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62 - -74. Suppose h*q = -1210692 - 4225308. What is q rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u + 32. Let o be j(5). Suppose 52 = -o*f - 178. Is f smaller than -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/2727?  (a) 0.3  (b) 0  (c) 3  (d) -11\/9  (e) 1\/4  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -32*k**5\/5 - 7*k**2 + 11. Find the second derivative of l(a) wrt a.\nAnswer: -384*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 - 19*v**2 + 8*v - 16. Let w be x(-10). Suppose 16 = -4*t + 4*a, t + 3*t = -w*a + 24. Sort t, -1, 4, -8.\nAnswer: -8, -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 1, e: 4, n: 2, h: 1, m: 1, g: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -0.2, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/80 and 45\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-52)\/(-832))\/((-1)\/2)*(-338)\/(-65). Let a be 16\/(-6) + (-4)\/(-6). Do a and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 18*n + 14. Let k(m) = m + 1. Let a be 2\/(-3) + 26\/(-78). What is a*v(h) + 12*k(h)?\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 842514.6 centuries?\nAnswer: 84251.46","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -49*h + 26. Let n = -129 - -132. Let u be a(n). Let b = 126 + u. Solve -i = -b + 1, q - 14 = -3*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/(-104)*70*1*218\/545?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 807339306.\nAnswer: 2, 3, 569, 236479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.45 - 0.45. What is the second biggest value in 0.5, b, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*l = -71*l + 366 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25\/9 - 43\/9. Find the common denominator of p and (-2 - (-5 + 4)) + 178\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*x = -161294979 - 18789021. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -3)*6*-5 - -6*(3 + sqrt(11) + -4)**2.\nAnswer: -42*sqrt(11) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + h + n + 4, 0 = -5*h + 5*n. Suppose 3*m - m = 4, -h*o + 2274 = m. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 4*n = 39. Let i(t) = 4*t - 11. Let w(b) = 2*b - 5. Calculate n*w(a) + 6*i(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - 5*z**2 - 4*z - 4. Let v be d(-2). What is the units digit of ((-26)\/(-6))\/(v\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 641 = -4*q, 2*q - 2 - 2 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 + (-32)\/(-12))*(-261)\/(-6). Which is smaller: -56 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 154, 0 in increasing order.\nAnswer: -4, 0, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - (-125 - -48 - -50) - (12 + (0 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 241.035 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*m + 2. Suppose u - 2*u + m = 0. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -535582, -1071132, -1606682, -2142232, -2677782?\nAnswer: -3213332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + z**2 + z + 1. Let i(c) = -3*c**3 + 3*c**2 - 3*c + 4. Let m(k) = -i(k) - 2*p(k). Calculate m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.6853708 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2499 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -2*v**3\/3 + 7*v**2\/2 - 8*v + 2178. Give a(7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - f = -12886, 4*k = 41*f - 44*f + 10300. List the prime factors of k.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8571403 - 35?\nAnswer: -8571438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -47?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 773351943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 196*o**2 - 4561*o - 1098. Give c(169).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -627, -1253, -1879, -2505, -3131?\n\"Answer: -626*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1830\/11 or -165?\nAnswer: -1830\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-2\/3)*g)\/g)**(8\/7)*(g**0)**(-6))**(11\/2) assuming g is positive.\nAnswer: g**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 82 - 82. Let t = -5 + 1. Sort -3, l, t.\nAnswer: t, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4315*m**3 - 1800*m**2 + 1?\nAnswer: -25890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.4 + 2.9. Let n = r + 0.3. Let l = n - 18. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 52049, 52051, 52053, 52055, 52057?\n\"Answer: 2*i + 52047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -72750 divided by -24250\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 512237.\nAnswer: 11, 46567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -107 + 114. Let h(y) = 5*y - y**2 + 4155 + 5*y - 4168. What is h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-195)\/(-2)*((-2604)\/210)\/31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-24)*(-9)\/2. What is the smallest value in 2, 1\/4, -0.08, k?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**7*o\/o**(12\/13)*(o**(-2\/11)*o)\/(o**(2\/71)*o) assuming o is positive.\nAnswer: o**(69720\/10153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2016 and 1268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 861862761.0000079 + -861862909. Let m = 112 - 260. Let g = z - m. What is g rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + h - 1. Let u(b) = 6*b**3 + 4*b - 5. Let q be (15\/10)\/((-6)\/16). Let i(o) = q*x(o) + u(o). What is the first derivative of i(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of 343*s**6\/40 + 224*s**3 - 421*s**2. What is the first derivative of a(n) wrt n?\nAnswer: 3087*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1739 + -454. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from pwsopwpspwfzfow.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7 + -13 + 291\/(-3). Which is the biggest value?  (a) -3\/7  (b) 0.1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -254  (b) 0.011  (c) 1  (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001249702 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a**4))**(-46)*(a\/a**(-14))\/(a*a**10*a) assuming a is positive.\nAnswer: a**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/918 and 71\/1005.\nAnswer: 307530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11572929 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/9 - 61198*v\/9 + 40796\/3.\nAnswer: 2*(v - 30597)*(v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 q when four letters picked without replacement from {h: 3, y: 2, j: 1, v: 1, q: 3, d: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1870357*x**4 + x**3 - 3*x**2 - 164498 wrt x.\nAnswer: -44888568*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4046173857.5 + 32?\nAnswer: -4046173825.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -557*l**6 + 129*l**2 + 238*l**6 + 211*l**6 wrt l.\nAnswer: -12960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*p**2 - 93*p**2 - 2 + 40*p**2 - 2.\nAnswer: -32*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4718339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1091*d**2*l**2 - 373699*d**2*l - 638*d**2 + 2*d*l**2 + 34017*l**2 wrt l.\nAnswer: 2182*d**2 + 4*d + 68034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000010343834 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 >= 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 784093 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 14*w**3 + 950*w**2 + 795*w - 565. What is b(-67)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1607754 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21004 - 150?\nAnswer: 20414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (156\/21450)\/(216\/(-4050))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-4))\/(2\/(-479 - -3)). What is p rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2187*j**2 + 235725?\nAnswer: 4374*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6210*d**2 + 3481*d**2 - 4177*d**2.\nAnswer: -6906*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - 36. Let v be ((-30)\/l)\/(2\/32). Let i be (6\/45)\/(v\/10). Is i at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of -q**7\/2940 + q**6\/126 - q**5\/35 - 6*q**4\/7 - 11*q**3 + 39. Let a(m) be the third derivative of b(m). Solve a(p) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -343, -686, -1029, -1372, -1715?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 281798599 to the nearest integer?\nAnswer: 16787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -919700 or -919675?\nAnswer: -919700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*sqrt(156)*1)\/(sqrt(12) - (sqrt(12)*2 + sqrt(12)) - sqrt(3)).\nAnswer: -4*sqrt(13)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -837 + 4189\/5. Factor f + 2\/5*x - 2\/5*x**2.\nAnswer: -2*(x - 2)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3 + 3 - 2 + 13*p + 28*p. Let i(y) = y**2. What is i(w(a))?\nAnswer: 1681*a**2 - 164*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -10 + 5 - 6*j**2 + 5. Let d(k) = -2*k. What is b(d(n))?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 11055\/1608*18\/(-15) - ((1 - -8) + -7)\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.32 plus -0.6346?\nAnswer: -0.3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 143338.2 rounded to the nearest one hundred?\nAnswer: 143300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 97523452307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 51994, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v**2 + 0*v**2 - 7*v**2 + 2*v**2. Let p(i) = -3*i. Determine p(u(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + g - 4 = 0, 2*g - 2 = 5*m + 6. Suppose m = -4*k + 5*b - 7 - 10, -2*b = 2*k - 14. Solve -k*o + 5*t = 17 - 3, -31 = -5*o - 4*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - x**2 - 5*x + 6559. Is m(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a (base 11) in base 15?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 433472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -332, -719, -1166, -1673, -2240, -2867, -3554?\nAnswer: -4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4*b**2 - 7*b - 1. Suppose 0 = -6*r + 18 + 30. Let i(m) = -6*m**2 - 11*m - 2. Determine r*h(l) - 5*i(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 3*a**2 + 3. Let x be (-2)\/4*-1*6. Suppose c = x - 6. Let d be v(c). Solve 0 = -3*l + h + 11, -d*l + 13 = -h - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 + 28*b**2 + 107*b - 132.\nAnswer: -(b - 12)*(b - 1)*(3*b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-12) + (-82)\/(-6). Is (-2)\/4 - (-1309)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-159 + w + 92 + w**2 + 113)*(w + 3*w + 0*w)*(18*w - 125 + 125).\nAnswer: 72*w**4 + 72*w**3 + 3312*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223077088?\nAnswer: 2, 13, 536243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 24, 547, 23, 3?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 5*k**3 + 6*k**2 + 7*k. Give d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-58680)\/(-978))\/(5*(-1)\/10*-2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101020221111021 - -1?\nAnswer: -1101020221111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**5\/20 - h**4\/4 - 2*h**3\/3 - h**2\/2 - h + 108. Let x be (-51)\/(-12) - (-1)\/(-4). Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -11*s**2 + 13*s + 13. Let v(c) = -3*c**2 + 3*c + 3. Let i(y) = -y**2 - 6*y + 66. Let x be i(-12). Give x*m(u) + 26*v(u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 + 16*a + 4. Let b = 197 - 189. Let x be q(b). Solve 4*v = 4*s, -x*s + v = 6*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -9*s - 308. Let n be o(-34). Let f = 0.07 - -0.03. What is the closest to f in -2\/7, -4, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 47, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 9 = -6. Solve -g*q = -5*u - 30, q + 2*u = -0*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63 + 18. Let i = 75 - 63. What is the remainder when a is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 218*q + 233*q - 467*q. Let n(f) be the first derivative of f**2\/2 - 18. What is n(x(p))?\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + 10*i**2 + 7*i - 5. Let o = -22 + 13. Let p be -3*(1 + (-15)\/o). Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -96.184  (b) 0.128  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g**3 + 9*g**2 + 9. Let y(w) be the second derivative of -w**5\/5 + 5*w**4\/12 + 5*w**2\/2 - w + 29. Determine -3*f(x) + 5*y(x).\nAnswer: x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1346016960 by 6.\nAnswer: 224336160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*q - 1846*q - 80472 = 0 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 11) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1003996032 divided by 6.\nAnswer: -167332672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -261147 (base 8) to base 7\nAnswer: -525340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 0*p + 0*p - p**2. Let s(m) = 4*m - 9. Let b(a) = -2*a + 4. Let c(j) = -9*b(j) - 4*s(j). Determine t(c(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*i - 59*i = 5*w + 65 + 33, 79 = -i - 4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 120 + 125. Let n(z) = -4*z**5 - 11*z**4 - 3*z**3 + 5*z**2 + 5*z. Let o(s) = s**4 - s. Let a(c) = v*n(c) + 10*o(c). Factor a(k).\nAnswer: -5*k*(k + 1)**3*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1356)\/7910)\/((-2)\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -43555, -70952, -98349, -125746, -153143?\n\"Answer: -27397*s - 16158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 16*q**2 + 6783*q + 324669. What is m(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -3. Let t(d) = -2*d + 2. Suppose 0 = 8*h - 3*h - 5. Let c(w) = -h + w + w - 2 + 1. Give r*c(j) - 5*t(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1753 and -0.125.\nAnswer: -219.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 140929 - 29933 = -2*x, 9*x - 18 = 0. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-8) + (-42)\/(-56). Suppose 0 = -3*m + 2*g + 54, 5*g = 4*m - b*g - 72. What is the remainder when 107 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4062891 and 26691?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {i: 2, d: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1423 + -1420. Put -0.2, 13\/467, j in decreasing order.\nAnswer: j, 13\/467, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3 = -z, 6 = 2*z + 2. Solve -2*o - 7 = -i, 0*i - 5*i + o = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 4*a + 3*a - 20*a + 8*a + 6*a + (-1 + 1 + 2*a)*(4 - 4 + 2) + 4*a - 3*a - 2*a + 5 - 5 + 6*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 times -18?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -33  (b) -4  (c) 0  (d) -9  (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 0*m - 4*m + (m + m + m)*(318 + 8 + 47) in the form c*m + o and give c.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 6*i**2 + 5*i - 3. Calculate w(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 109243573, 109243571, 109243569, 109243567?\nAnswer: 109243565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 438 - 433. Which is the nearest to 2?  (a) q  (b) -0.3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + w = -2*w - 2, -5*v + 4*w = 2. Let z = v + 8. Let r(o) = o**2 - 5*o - 4. What is the units digit of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*c = 296, 2*c + 50 = -j + 137. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7)*2*3 + 1 + ((0 + sqrt(847) - sqrt(847))**2 - sqrt(28)\/(sqrt(16)\/sqrt(4))))*-4.\nAnswer: -20*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**3 + 166*m**2 + 1028*m - 2736 = 0. Calculate m.\nAnswer: -76, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -4*s**3 + 4*s**2 - 6*s - 15. Let d(i) = -13*i**3 + 11*i**2 - 17*i - 39. Let r(h) = -3*d(h) + 8*z(h). Calculate r(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -86 + 89. Suppose 3*t**b - 3*t**3 - 25*t**2 - 5*t**3 = 0. What is t?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 5. Let o = -2 + 6. Let u be 6\/o - 25\/(-10). Solve z*t + 2*t = -u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45442 - -45543.711. What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -1.3, 870186?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25 and (-95)\/(-20) - 1\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32.976 + -0.024. Let u = -33.1 - h. Let g be (1*2)\/4*12. Which is the second biggest value?  (a) -2  (b) g  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + z = -0*j - 2551, 0 = 2*j + 5*z - 2545. Suppose -5*v + 7*i + j = 9*i, -1020 = -4*v - 3*i. What are the prime factors of v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7142881*g**3 + 952583*g**2 wrt g.\nAnswer: -42857286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 7*f + 4*f - 63, 0 = s + 5*f - 39. Let p = -641 + 905. Calculate the greatest common factor of s and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (177*n**2 + 257*n**2 + 59*n**2 - 116*n**2)*(-4 + 1 + 0).\nAnswer: -1131*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 35006633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 2*t + 1. Suppose 2*b - b = -2. Suppose -2*z = -1 - 1. Let w = z + b. Determine o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 46, -16, -134, -326?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25786 = -414*u + 1349*u + 283*u - 41204 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 28132 and 0.3.\nAnswer: 28132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*4*6\/288*-204.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 497309 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 40*a**4 + 2*a**3 - 1023.\nAnswer: 160*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 37*s + 65. Let k be v(-6). Let a = -171 - k. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7922361 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -26165, 8 in increasing order.\nAnswer: -26165, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {f: 2, t: 1, u: 1, j: 2, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2600619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 72954931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/12)\/((-2)\/(-136)). What are the prime factors of 4 - ((-1428)\/k)\/((-2)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 277 from -26117614144.\nAnswer: -26117614421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuufuuu. Give prob of sequence fuu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 10*s - 3. Let v(r) = 9*r - 2. Let p(c) = -2*v(c) + 3*w(c). Differentiate p(d) with respect to d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17.79994 and -8.2?\nAnswer: -145.959508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137189 = -127999*s + 130248*s for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 52 - 76. Let u be (0 + 35)*f\/15. Let p = u - -106. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155551427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 45\/(-6)*(-40)\/25. Let r be 6\/d*13*(-3)\/2. Is r bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5895*x**2 + 11*x**2 - 464 + 928 + x - 470 wrt x.\nAnswer: 11812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11883*-1032\nAnswer: 12263256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50 - -50. Suppose c = 3*p - 11*p + 9688. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 4*v + 5)*(0 + 0 - 3)*(0 - 2 + 0).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 3  (c) -0.1  (d) 2  (e) -191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 8.3. Let n = 1.8263 + -33.8263. Which is the third smallest value?  (a) 0.4  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -267700 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 341 - 178. What is the remainder when g is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5197 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/4*(-1792)\/3360*(-1)\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 11:41 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -17048*s**2 + 87. Let m(g) = -15*g**2. Determine o(m(q)).\nAnswer: -3835800*q**4 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = 2*b + 2*z, -b - 41 = 4*z - 125. Suppose -5*h + b = -32. Calculate the remainder when 71 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 447 is divided by 146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y - m = 161, 4*m = y - 61. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 4, 2, -4\/3 in decreasing order.\nAnswer: 4, 2, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 57 = 69 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104418207?\nAnswer: 3, 103, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2880 - -2881. Solve -12*l = -11*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -23*v**2 - 2*v. Let j(n) = 35*n**2 + 3*n. Determine 8*b(c) + 5*j(c).\nAnswer: -9*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 7*m**2 + 8*m + 9. Let d be v(-7). Let k = 71 + d. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(1\/2)))\/(r\/(((r*r**(3\/4))\/r*r*r)\/r))*r**(-22))\/(r**(-2)*r*(r*r**(-3)\/r)\/r*r**21) assuming r is positive.\nAnswer: r**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(17\/4))\/(y*y**(1\/10)))\/((y**(-2\/31)*y)\/y**(-2\/33)) assuming y is positive.\nAnswer: y**(64529\/20460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3579)\/2386)\/((-351)\/(-286)).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 5. Let h be 15\/(-24)*36\/30. What is the closest to 4 in u, h, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 643 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -3*r**4\/16 + 7*r**3\/4 - 21*r**2\/4 + 6*r - 10. Factor q(u).\nAnswer: -3*(u - 4)*(u - 2)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s**2 - 3*s + 6. Let a(l) = -11*l**2 + 5*l - 12. Let d(h) = 3*a(h) + 5*f(h). Find the first derivative of d(z) wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110000001110010111 (base 2) in base 13?\nAnswer: -6bba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 12. Let i(b) = b. Let n be i(y). Suppose -3*r + n*k = -4*r - 1, 0 = r + 2*k - 11. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0, -90, -1\/575?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.4224 + -3.4154. Sort 2, f, -2 in decreasing order.\nAnswer: 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21\/2 in 0.2, -4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 26803075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2787\/55874?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**4\/3 + 18485*r**3\/3 - 18491*r**2\/3 - 30811*r - 18486 = 0. Calculate r.\nAnswer: -18486, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 76046 and 8?\nAnswer: 76038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {u: 2, x: 5, y: 1, q: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -338*c**2 + 51963698*c - 51963698*c.\nAnswer: -338*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -2*r, 2*f + 79 - 18 + 37 = 4*r - 36 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 114 - 87. Suppose -441 = -2*t + y. What is the greatest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -555*f - 10570. Determine q(-19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*k + 21*k - 3 - 1.\nAnswer: 34*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 6:27 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6809203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 38*h - 282. What is j(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/7))**(-42) assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20760 and 112867968?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -15*o**2 + 230*o - 78. Give y(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c - 1. Let w(s) = 6*s**3 + s**2 - 1. Let k be w(1). Let l = 1 - k. Let p = l - -1. What is i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -928*f**2. Let n(v) = 2*v. Calculate x(n(z)).\nAnswer: -3712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 156 = 23*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 195 and 1573?\nAnswer: 23595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, m: 9}. What is prob of picking 2 m?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 21278360 rounded to the nearest 10000?\nAnswer: 21280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/5*2 - (8 + (-830)\/75).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*x = 19148 + 24835, 2*d = -x + 17602. Suppose 30*a - d = 9*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 7*t**2 - 2. Let h(l) = l**3 + 8*l**2 + 2. Suppose 2*c - 2*v + 5*v = -29, -20 = 4*v. Calculate c*b(a) - 6*h(a).\nAnswer: a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-22)\/(-14) + -2)*-7. Solve -2161*i**2 - 3*i**u - 28 + 33*i + 10 + 2149*i**2 = 0 for i.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 10) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -750*z + 3006. Let m be s(4). Solve 5*o = j + 6*o, j + 4*o = -m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8.239409um?\nAnswer: 0.0008239409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 592 and 9 + -5 + (4 - -2) + 58.\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 13708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*z + 10 = 0. Suppose -70 = -z*f - 5*m, 42 = 5*f - m - 16. 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(f) = -22*f - 10. What is z(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1354 - -1390.42. Let l = r - 37. Let q = l + -0.42. Which is the second biggest value?  (a) q  (b) 0.07  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111000001 + 101110010?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/39?  (a) -2\/5  (b) -0.5  (c) -4  (d) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17021 is divided by 682.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 2*y - 2*f = 2*f, 32 = -11*y - 4*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 - (4\/(-14) - (-282)\/(-504)) and -91\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - -31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19133 and 556871?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 44940 + -22735. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, e: 3, x: 1}. What is prob of sequence xte?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -8620*q - 8616. What is a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 9*j - 9. Let o = 37 + -35. What is the remainder when d(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -19. Let i(f) = f**3 + 24*f**2 - 257*f - 18. Let l be i(-32). What is the greatest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -391*w**2 - 391*w**2 - 195*w**3 - 398*w**2 + 1180*w**2.\nAnswer: -195*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3 = -6*w. Suppose -t - 20 = 4*v, -4*t + 0*v + 10 = -2*v. Which is the smallest value?  (a) -0.2  (b) w  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5203 and 297781?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/3*2*(-5)\/(150\/(-4)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 6 = 12. Suppose -v = 3*v + p*r - 39, 3*v = -3*r + 27. Let w be 1 - 5\/(30\/v). Which is greater: 4\/23 or w?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -4 - (-7 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1548*d**2 + 3903*d**2 + 1545*d**2 + 1544*d**2 - 8514*d**2.\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 6028\nAnswer: -18084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 411006627 to the power of 1\/2, to the nearest integer?\nAnswer: 20273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 5*c**2 - c - 1. Let s be a(5). Let r = 11 + s. Suppose 0*d - r*d = -60. What is the greatest common factor of 108 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**7\/2520 - 7*d**6\/720 + d**5\/60 - 2*d**2. Let g(r) be the third derivative of j(r). List the prime factors of g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-364 - 175 - 25)*(2*f**3 + 2 - 2 - 3*f**3 + 0*f**3 + 4*f**3 + (-f - 1 + 1)*(0*f**2 + 5*f**2 - 3*f**2)).\nAnswer: -564*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**5 - 90*h**4 + 1740*h**3 + 210*h**2 - 99225*h + 353976 = 0. What is h?\nAnswer: -43, -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 1403 = 1430. Let u(m) = m**2 - 1. Let b be u(-2). Solve -3*r = 2*s + f, -2*r + b*s - 4*s = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30910 + 5*g + 30910 - 4*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1384 + 52. Suppose 0 = -5*h + 2*m - 5, 0*h - m = -3*h - 3. Let n be (24\/q)\/(h\/3). Is n > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 144 = l. Let r(w) = -w**3 - 1. Let h(x) = 2*x**4 - 16*x**3 - 2*x**2 - 16. Let y(k) = l*r(k) + 3*h(k). What is the third derivative of y(t) wrt t?\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 501*n = 500*n + 11 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 3*p + 44, -4 = -3*a + 4*a + p. Suppose 25 - 113 = 11*k. Let w = k - a. Do -2\/111 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 4*d + 0*d)*(4 - 2 + 0)*(2 + 0 - 3 - 2*d).\nAnswer: 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 3*f - 1 = -2, 3*b = -4*f + 1. Let c be 100\/250*1\/(-25). Is c < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 2\/12829657?\nAnswer: 2\/12829657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 7*g**2 + 4. Suppose 4*i - 13 - 15 = 0. Let t be y(i). Suppose t*p = -8*a + 3*a + 183, 0 = 5*a + 5. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k + 8. Let d be s(-6). Let o = d + 27. Suppose -2*u - 2*u + 307980 = o*b, -u = 3*b - 76988. Round u to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -8. Suppose -3*n = -r*n + 6. Suppose -4*p - 3*f - 129997 = -3*p, 0 = 5*p - n*f + 650002. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*y**4 + 1352*y**3 - 116916*y**2 + 451568*y - 446224 = 0. Calculate y.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 + b**3 - 4*b**3)*(3*b - 2*b**2 - 3*b + (-2*b + 3 - 3)*(0 + 0 + 2*b)).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*y - 15 = 3*p + 25*y, 0 = 2*p + 5*y + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*6\/(-4) - 2. Let b = 10 - g. Is 80 - (b + 0 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7430 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-36)*21)\/(10\/(-30))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(99) - sqrt(11) - ((4*sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6) + sqrt(11))**2.\nAnswer: -539 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t**3 + 24*t**2 - 7*t + 4. Calculate the remainder when l(10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15719*c**4 + 4377*c**2*h**2 - 2330*h**2 - h - 3329 wrt c?\nAnswer: 62876*c**3 + 8754*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -331*a - 54*a - 295*a as w*a + b and give w.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8559439 litres to millilitres.\nAnswer: 855.9439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12\/29 + 26\/203. Put 13\/3, 2, o, -0.5, -10 in decreasing order.\nAnswer: 13\/3, 2, o, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4958 is divided by 561?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = b - 40. Let j = 23 - b. Suppose 2*k - 28 - 2 = 0. Solve -2*h + q = -j*h, 0 = -3*q + k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 3 + 9. Let v be 2 + p + -8 + 7. Solve -7 - v = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28*c**2*u**3 + 52740*c**2*u**2 + 1745*u**3 - 132*u + 2 with respect to c.\nAnswer: -56*c*u**3 + 105480*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from hhkpknhkknhnhhpnph.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 26 = -2*b, -18 = 43*b - 44*b - h for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 514, 1, 2\/5 in increasing order.\nAnswer: 2\/5, 1, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18 + -38?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(1\/6)))\/t**(1\/22) assuming t is positive.\nAnswer: t**(-7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + j = -0*v, 2*v + 2*j = 12. Suppose v*x = x + 1. Solve -2*a = 11 - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5838, -22421, -50058, -88749?\nAnswer: -138494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*i + 16*i - 98 - 31*i)*(-9*i**2 + 2 - 2).\nAnswer: 9*i**3 + 882*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -3324078?\nAnswer: -332407.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190699?\nAnswer: 190699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 - 33. What is the closest to 1 in 0, f, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 3*w = -72, -f + 40 = 2*f + 5*w. Suppose 0 + f = 5*y. Solve 0*o - y*o = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3 - 15852*u**2 + 20940492*u - 9220796644.\nAnswer: 4*(u - 1321)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 7) in base 4?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -103*p - 705. What is u(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of z**5\/60 - 3*z**4\/8 - 2*z**3\/3 - 4*z**2 - 8*z. What is h(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 265912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of 7*p**5\/10 - p**4\/4 - p**3 + 6*p**2 - 4*p - 2. What is the tens digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16290967 less than 40.9454?\nAnswer: -16290926.0546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**(-10)\/p)\/p**(-1\/10))**(4\/13))**27)**(-8\/7) assuming p is positive.\nAnswer: p**(47088\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 190 and 361?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 967398.\nAnswer: 2, 3, 161233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2 + 34*g + 32. Let w be k(-16). Let t be 59 - (5 - 0 - w). Let p = t - 22. Calculate the remainder when 157 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-7)\/7)\/(1\/(-13)). Suppose -8*c + 11 = -f. Suppose -c*r - 1775 = -4*g, r + 3*r + 2219 = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/2, -36, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 1.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12816*b - 26*b**3 - 12816*b + 2176*b**2 - 2176*b**2.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a. Let o = -39 + 42. Let j(k) = -469 + 469 + o*k. What is l(j(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 8784.\nAnswer: 61488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/142345 and -4\/14525.\nAnswer: 711725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 + 65. Let g be 2\/(-7) + 368\/y. What is the second derivative of -9*m + 16*m**g + 15*m**2 - 15*m**2 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 3*x**3 + 152*x - 97*x + x**2 - 55*x to the form d + c*x + o*x**2 + v*x**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**2 - 3*u**2 - 5*u**4 + (u - 31*u + 0*u)*(2*u**3 - 3*u**3 + 2*u**3).\nAnswer: -35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14176986 is divided by 2492.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -248\/21 - -35\/3. Which is the smallest value?  (a) t  (b) 0  (c) -1  (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.17 + 0.67. Sort 1, r, -3 in decreasing order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0)**(-49)*(u\/(u\/u**2))\/(u\/u**2))**(3\/2) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 1296*y + 209952.\nAnswer: 2*(y - 324)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 13, b: 6}. Give prob of sequence btb.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -129.2 - 2.8. Let k = 5830 + -5963.14. Let u = k - m. What is u rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5483*p - 2*p**2 - 2869*p - 2614*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 divided by -38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4603049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9534733027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5177162 centuries to millennia.\nAnswer: 0.05177162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - ((-6)\/(-14) - 750\/(-210)). Sort 9, -4, c in decreasing order.\nAnswer: 9, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1772 is divided by 882.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -73833216 plus -0.1?\nAnswer: -73833216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15301679*l**4 + l**2 - 6849*l - 67 wrt l?\nAnswer: -367240296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 3  (b) 12  (c) -26  (d) -13  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 19 = 2. Let u(n) = -n + 1. What is the smallest common multiple of q and u(-5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 4*h - 149 = 6*p, 110*h - 2877 = 533 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 + 11*j + 9. Let z be s(-11). What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*1) + sqrt(39)\/sqrt(3)*-2)*-5 - (-3 + (3*(sqrt(637) + 1) - (sqrt(637) - (-5 + -1 + sqrt(637))))**2).\nAnswer: -5739 + 131*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 768588.4 kilometers in nanometers?\nAnswer: 768588400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 3*t**2 + 1156*t + 11. Determine p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1995, 1479, 623, -567, -2085, -3925, -6081?\nAnswer: -8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1300?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 52 = -202. Suppose 4*c = -3*g + 50, -2*c - 5*g + v = -g. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from hhhs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 3.85. Let c = -9.85 + n. Let i = 14 + c. Sort i, 0.1, 3.\nAnswer: 0.1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.5, 15, -5, 60\/23, 6, 17 in decreasing order.\nAnswer: 17, 15, 6, 60\/23, 2, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10016994 and 117234?\nAnswer: 90152946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40.3 - 39.3. Let i be 54\/(-72) - 10\/8. What is the nearest to 1 in i, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000061033 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.25+-170248747\nAnswer: -170248746.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of w**5\/60 - 3*w**4\/8 + w**3\/6 + 19*w**2. What is y(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9949 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: Is 394409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38.013 + 0.013. Let i = 69 + j. Let y = i + -30.999815. Round y to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -1\/4, -3, 11136?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*n - 56*n**2 + 22*n - 425*n**2 + 20*n in the form o*n**2 + q*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*t - t + 3*t)*(-t**2 + 0*t**2 + 3*t**2) + 38*t**3 + 84*t**3 - 119*t**3 - 161*t**2 as v*t**2 + x*t + k + c*t**3 and give v.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -s + 19. Suppose 5*p = -2*n + 239, -5*p = -3*p - 2. Let f = n - 90. Calculate the remainder when f is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*s - 57360 = -1652*s + 98214 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7999 - -7974. What is the third smallest value in 0, j, -4.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1644 from -5109891475.\nAnswer: -5109889831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03161 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**3 - 11*z - 10. Let d(m) = 2*m**3 - m**2 + 10*m + 9. Let b(k) = 4*d(k) + 3*q(k). Suppose 7*o = -5*o - 60. Calculate b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*j + 142170 = -120*j. What is j rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1490*d**4*x + 3*d**4 - d**3*x - 22425*d**2 - d*x wrt d?\nAnswer: -35760*d*x + 72*d - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 126 + -67. Suppose -2*y - s = -z + 66, -516 = -4*z + 4*y. What are the prime factors of z?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -55. Let y = i + -12. Suppose -3*r - y*k = -k - 75, -3*r + 3*k = -69. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -6. Let p = b - -2. Let a = 22585 + -22580. What is the closest to 1\/5 in a, 7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - z**2 + 1. Let y be 4\/(-1)*-1 - (-52 - -55). Let c(m) = -7*m**3 - 4*m**2 + 11. Calculate y*c(s) - 6*t(s).\nAnswer: -s**3 + 2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 7*j**2 + 5*j - 4. Let q be w(-6). Let t(n) be the second derivative of -2\/3*n**4 + 7\/2*n**q + 0*n**3 + 10*n + 0. Differentiate t(m) wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 67\/6, 0.4, -2, -47?\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-12)\/j**(-1\/26))\/((j**(-14)\/j)\/j*j**(6\/7)) assuming j is positive.\nAnswer: j**(579\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4881 divided by -11?\nAnswer: 4881\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**2*l**2 + 6*j**2*l - 1125*j**2 + 62*j*l**2 + j*l - 2*l**2 + 2*l wrt j?\nAnswer: -4*l**2 + 12*l - 2250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((42\/(-4))\/((-99)\/(-231))).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 4. Suppose -5*d + 2*s = -4, -5*d = 4*s - 0*s + 8. Let f be k(d). Suppose -z = -f*v + 56, -3*z + 27 = v - 0*z. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 - 252 + 98 - 8*d**2 + 105 + 3*d**2 - 42.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) 3  (c) -2\/9  (d) 9  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 6*p**2 - 574*p - 72. Calculate r(-21).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, v: 4, m: 7, h: 1, c: 4, w: 2}. Give prob of picking 1 v and 1 c.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 11:45 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 220 + -174. Let j be v\/24 + (100\/30 - 4). What is the third biggest value in 14, j, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*-3*8\/(-3). Let f = u + -19. Solve -3 + n - 2*n + f*n - n**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*x**3 + 85*x**3 + 109*x**3.\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 - 44. What is the highest common factor of 129 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + h)*(3 + 2 - 6) - 10*h + 9*h - 34*h as p + j*h and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3967, 15236, 34019, 60316?\n\"Answer: 3757*w**2 - 2*w + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(1\/(42\/24))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-235)\/3*(-81)\/135. Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 455.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-267)\/48594)\/((-62)\/2821)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -122\/55 - -9\/11. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 5*l**3 + 5*l**2 + 2*l - 1. Let x(v) = v**3 + v**2 + v. Let p(t) = -o(t) + 4*x(t). Calculate p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3993) - (sqrt(3993) + (sqrt(3993) - 1*sqrt(3993))*5) - sqrt(3993))\/(-2*(sqrt(60)\/sqrt(4))\/sqrt(5)) + -5.\nAnswer: -5 + 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 455c7 + 2?\nAnswer: 455c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 + 3*v**4 - 4*v**4 + (-v + 4*v + v)*(-5*v**2 - 11 + 11)*(0*v + v + 3*v).\nAnswer: -82*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 + 1332?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -42 - -9. Let u be 1*(-1)\/(n\/(-6)). Let g be 1 + (-2)\/2 + 0. Sort u, g, 5 in descending order.\nAnswer: 5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-88))\/((-1506)\/2761)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 15969*f - 96. Let i(r) = -63877*r + 432. Determine -2*i(v) - 9*n(v).\nAnswer: -15967*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -10*h**3 + 3*h**2 - 2*h - 6. What are the prime factors of b(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 2, -1\/437 in decreasing order.\nAnswer: 4, 2, 1, -1\/437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from krrrroklotrorkt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*x + 83 = 8*t - 70*x, 10*t - 5*x - 85 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 216474029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 246476.7972?\nAnswer: -246477.1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 756247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b**2 + 3*b - 2. Let x(l) = l**2 + 1. Let v(s) = h(s) + 4*x(s). What is v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j**2 - 2*j**2 - 1140*j + 11*j**4 + 1125*j as x*j**3 + z*j + b*j**2 + o + v*j**4 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 326724 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 + 14 - 141 + 4*g - 109*g + 3*g**2 = 0 for g.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 4) + 1 - -4. Suppose -64 = 6*u - p*u. Let t = 23 + u. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 6*r - 6, 4*y - 54 = -2*r. Suppose a - 32 = -3*a. Calculate the lowest common multiple of y and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 89933224 by -403288.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2158)\/(-415))\/(4\/10). Solve -3 = -2*i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/24)\/((-2)\/(-16)). Solve -v = -5*j + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1280*v**2 - 1270*v**2 - 1253*v**2 + 3812*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/153 and 38\/189.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/55*1970\/(-591).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.09 - -0.923. Let d = v + -0.013. Let n = d - 0.99999772. What is n rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (50\/906)\/25*30. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 361 = r, 0 = 5*l + 5*r - 0*r - 595. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 534\/(-6) + ((-15010)\/237 + 61)*(-2 - 1)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 817.1684mg in nanograms?\nAnswer: 817168400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9098 - 9098 + 7*w**2 + 248549*w - 248549*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -b + 63, 4 = 5*v - b + 82. Let i be 7\/v + (-4)\/12. Let y be (4\/(-6))\/((-4)\/30). Put -5, i, y in descending order.\nAnswer: y, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -516 (base 8) to base 3.\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4 - 112*u - 115 - 3 with respect to u.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*-2)\/(-3)*2\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 - 45*m**2 + 50*m.\nAnswer: -5*m*(m - 1)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 - 16*t**2 - 23*t**2 + (-3*t + 2*t + 4*t)*(-2*t + 3*t - 2*t) + 3*t - 3*t - t**2)*(3*t + 2*t - t).\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14134732609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - p + 14, -6*p = -4*o - 3*p + 10. Calculate the remainder when 39\/o*(-40)\/(-15) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 - (-2 - (-1 + -2)). Let d = x + 5. Solve d = -j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, p: 2}. What is prob of sequence aaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -0.95?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, s: 1}. Give prob of sequence xsx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 + -2 + 1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 4 - 1)*(5*b - 2*b - 2*b) + (1 - 1 - 1)*(-2*b - 3*b + 3*b))*(0 - 2*b + 0)*(77 - 17 - 40) to the form v*b**2 + c*b + p and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2*x - 24 = 0, -8680*a + 8676*a - 4*x + 28 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3204564939 and 0.044135.\nAnswer: -3204564938.955865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2216141739 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 37a (base 14) to base 3\nAnswer: 221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2666379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*k + 13 + 16 = 0, 0 = -3*o - 5*k + 31. Suppose 1 = 3*r + 5*i, -2*r - 12 = -o*r + 2*i. Solve -u + r = -b - 3*b, 2*u = -4*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -30*d + 9 + 36 - 9, 9 - 1 = 2*m - 2*d for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = 2*w - 3*o, -4*w - 104809 = -5*o - 104755 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 292, 351, 406, 451, 480, 487, 466, 411?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**3 + v**2 - 12*v. Let m be o(-6). What is the third derivative of 350 - m*z**3 - 33*z**2 - 350 wrt z?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 303*x**2 - 24 - 152*x**2 - 147*x**2 - 20*x.\nAnswer: 4*(x - 6)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 234444696 + 862.6.\nAnswer: 234445558.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006387356522 rounded to 7 decimal places?\nAnswer: -0.0063874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*l + 2940 = -326*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 543 + -5487\/10. Find the common denominator of (7\/(-16))\/(1\/(-2)) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -72, -106, -144, -186, -232?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*m**2 - 96*m**2 - 37 + 55*m**2 to z*m**2 + b*m + t and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 18. Let b be u(-10). Suppose 3*x - b - 1 = 0. Solve -x*t = 4 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.1 - -4.0999938. What is p rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -1586973.\nAnswer: -7\/1586973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/3690 and -45\/902.\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -47*d**2 + 175*d - 771. Give s(5).\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, 42, 5, 2 in ascending order.\nAnswer: 2, 5, 42, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**5\/60 - y**3\/6 - y**2\/3 + 31*y. Solve n(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7113 - 1*(12 + 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4967.05 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 258440 and 148060276.\nAnswer: 1480602760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -382591242*p**2 - 127748738?\nAnswer: -765182484*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -4\/5  (b) 39  (c) 1031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*t - 5*h, 4*t + 2 + 0 = -2*h. Let a be (7 + -8)\/(1 + (2 - t)). Is 0.7 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313198.\nAnswer: 2, 149, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.48 + 0.58. Let y = -0.9 - -1. Let m = 169 + -1185\/7. Which is the nearest to y?  (a) m  (b) 4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84693*a + 169398*a - 85586*a.\nAnswer: -881*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -23  (b) 4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 98, -6, -18, 4\/5, 2\/9, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 7 = 5*h, i - 2*i - 2*h = 8. Calculate the remainder when (-1)\/(-3) - (-53)\/3 is divided by 8\/(-56)*-7 - i\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 12:40 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 204.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 160299 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xexdqqenxxe. What is prob of picking 2 e and 1 x?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -3 + 0*g**4 + 0*g**3 + 0*g**2 - g - 2\/5*g**5. Differentiate d(x) wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**6\/540 + 7*u**5\/90 - 2*u**4\/3 + 68*u**3\/27 + 85*u**2. Let o(z) = 0. Calculate z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97554 + 14340364\/147. Let g = o + 1\/294. Which is greater: g or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 5 + -2 + 11 + -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**5\/2 + 81*j**4\/8 + 159*j**3\/8 + 63*j**2\/8 - 27*j\/8 = 0. Calculate j.\nAnswer: -3, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.59 + 2.09. Let w(b) = -2*b + 9. Let j be w(6). Let q be (-2)\/3*(-1)\/2. Put n, q, j in descending order.\nAnswer: n, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -1 - 9. Suppose -f*j + 4 = -2*r - 0*r, r = -5*j - 2. Differentiate j*p**3 - 2*p**3 + p**3 + 2 wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68578 (base 16) to base 15.\nAnswer: 86974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {j: 1, h: 2, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 divided by -5?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 346 = v + 3*i, -2*v - 3*i - 425 + 1123 = 0. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -y**3\/5 - 12856*y**2\/5 - 51106324*y\/5 - 11710450224 = 0?\nAnswer: -5438, -1980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -14566008.7 to the nearest ten thousand.\nAnswer: -14570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 469.8075 decades in millennia?\nAnswer: 4.698075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -62*x + 1729. Let k be l(28). Put k, -9, -4, -5 in increasing order.\nAnswer: -9, k, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 744600, 744585, 744570?\nAnswer: 744555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/7)*(g**(-16)\/g)\/g*(g\/((g*g*g**0)\/g))\/g*g**(-4\/7) assuming g is positive.\nAnswer: g**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 34. Let s(i) = -i + 8. Let o be s(8). Solve 3*x = -o*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 4*g - 1. Let r be k(2). Suppose 0 = r*j + 15 - 81. List the prime factors of j\/(-8)*(-12)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3342718433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 737 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 4 = -12*x. What is the closest to x in 1\/6, -3\/5, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 7020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455856?\nAnswer: 2, 3, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3270519 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/4868372?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.16 - -1.26. Let z = 2.9 + -3.9. What is the third biggest value in 3\/8, z, -2, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**2 - 5*d + 7. Let z be (-15 - -9)*1\/(-2). Let k be m(z). List the prime factors of k + (-3 - (1 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*j + 99*j - 6938885 = -121*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.87 - -0.13. Sort -4\/5, -0.5, w in increasing order.\nAnswer: -4\/5, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a**2. Let t = 90 + -88. Let m(n) = 30 + 26 - 3*n**t - 56. Give b(m(f)).\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 545 is divided by 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -127, -174, -203, -208, -183?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 515\/26 + -55\/52. Let y = -381\/20 + g. Let c = 3 - 2. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 12*s - 6*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69594, 69616, 69638?\nAnswer: 69660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 2 - 8. Let i(z) = 23*z - 45. Is i(l) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1719*l - 13245*l + 28535*l + 40965*l.\nAnswer: 54536*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 103 - 75. Let u = 25 - c. Let o be (1\/u)\/(8\/24) + 1. Put o, 4, 2 in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 163647 and 35757.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (20 + 3) - -34 - (2 - (21 - 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 40*x**2 - 9*x - 18. Let c be r(-2). What are the prime factors of ((-248)\/3)\/(c\/(-720))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**2 - 5*q**2 + 0*q**2 + 0*q**2 + 3*q**2 - q**2 + (-3594 - 61*q + 3594)*(-2*q + 5*q - q).\nAnswer: -121*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1888391?\nAnswer: 19, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -26113.\nAnswer: 10\/26113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11400620281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -586406 and 3.\nAnswer: -586403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 357175 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2266 is divided by 88?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -110100011110010?\nAnswer: -110100011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 114*p + 2472. Calculate w(-18).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -0.3, 3, 1, -11.47 in descending order.\nAnswer: 3, 1, 0, -0.3, -5, -11.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 1  (b) -29  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -7*g**6\/6 + 3*g**2 + 3. What is the second derivative of h(i) wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q**2\/2 + 6549*q + 13101\/2 = 0. Calculate q.\nAnswer: -1, 4367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20110 + -2?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*s - 13, 3*s + 36 = 2*d - 7*d. Is s less than -15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, j: 3, u: 2, y: 2, w: 3}. What is prob of sequence ww?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -598, -1496, -2674, -4132, -5870, -7888?\n\"Answer: -140*i**2 - 478*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5))**(-3\/4)\/(c**(-1\/22)\/(c*c\/(c\/(c**(-16)*c)))) assuming c is positive.\nAnswer: c**(-449\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123 - 117 = -j, -2*j = 4*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-67)\/((-938)\/560)*(-12)\/30.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*i - 9*i - 6*i - 2*i**2 + 0*i**2 wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -3.068287?\nAnswer: -3.268287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18.12 - 18. Let y = 0.119968 - r. Round y to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2088 - 2159. What is the third smallest value in k, -1, 2\/5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1256*n + 34959 - 73414 = 1381*n + 209423 for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -297062*v + 297045. Give i(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, b: 11}. Give prob of sequence bb.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 514526 is divided by 84?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21600 + 314. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*m = -16*m - 3*y - 1, 3 = 3*m + 4*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -286.2 less than 0.2?\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 257 divide 605235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {r: 5, t: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**5\/7 + 76*y**4\/7 + 384*y**3\/7 - 64*y**2\/7 - 2048*y\/7 = 0. What is y?\nAnswer: -32, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 4 - 1 - 4 + 3 + (-4 - 3 - 1)*(3 - 1 + 1) - 3 + 5 - 1)*(-2*o + 2*o - o + 4 - 2*o - 4 + 0 + 0 - 2*o + (0 + 0 - 2)*(3*o + 0*o - 2*o)).\nAnswer: 189*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-3 + 43)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -25*b**3 + 2*b**2 + 3*b**2 + 41*b**3 - 25*b**3. Let d(q) = -10*q**3 + 6*q**2. Determine -5*d(v) + 6*p(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 637.9 and 14326749642.\nAnswer: 14326750279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j + 1. Suppose n = -1 + 7. Let r be n\/(-10) + (3 - (-66)\/(-15)). Let k(y) = y**2 + y. Let h be 3*3\/(2 - -7). What is h*t(s) + r*k(s)?\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 0 = -3. Suppose -k + 88 = 5*l. What is the greatest common divisor of 68 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -6*h**2 - 2*h - 1. Let y(o) = -o**3 - 9*o**2 - 9*o - 9. Let s be y(-8). Determine k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22494 and 7176?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - q - 3*u + 23, 0 = 5*q + 2*u - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3166400 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106703 is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 13. Suppose 9 = -5*g - x. Is g\/2*(-1570)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 2. Let l(q) = -a - 2*q + 2. Let r(w) = -2*w - 19112*w**2 + 19116*w**2 + 2*w. Determine l(r(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 - 1.289. Round s to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 103819*u - 2702087 with respect to u.\nAnswer: 103819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 16*u**2 + 127*u - 23. What is o(8)?\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 992, 1026, 1088, 1178, 1296, 1442?\n\"Answer: 14*b**2 - 8*b + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -14\/507?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(2 + 22\/(-12)). Let y(s) = s**2 - 5*s + 13. Let u be y(7). Let i = u + -22. Sort z, -6, i in decreasing order.\nAnswer: i, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 38*o - 222. Let i be c(6). Solve 3*z - 16 = 4*r, 20 = z + r - i*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.505 - 15034560.\nAnswer: -15034559.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + x + 1. Let l be r(-1). Suppose -4 - l = 5*u. Let d(p) = -9*p**3 + p**2 - 1. What is the units digit of d(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 7*c**2 + 43*c - 8. Let o be g(-9). Let t = o + -174. Let i(j) = -j**3 - 5*j**2 + j + 7. Let d be i(-5). Put t, d, 1 in decreasing order.\nAnswer: d, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 232 divide 199816363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 589763 + 74934 = -2*c, -2*z - 514836 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 + 5.7. Let p = -7 + v. Let u = 1 + -3. What is the closest to -1 in u, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0526 in 250, 4, -1\/30, 4\/9?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4418, -4715, -5008, -5297, -5582?\nAnswer: -5863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 4*v**2 - 42753576*v + 114241766299236 = 0?\nAnswer: 5344197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90481939.\nAnswer: 17, 79, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuullulllluul. What is prob of sequence ull?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, r: 3}. What is prob of picking 1 r and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3026 (base 7) in base 10?\nAnswer: -1049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(-1 - -2) - 1. Let q(d) = d. Let g(b) = -5*b + 36. Let c(f) = z*q(f) + g(f). What is the remainder when 25 is divided by c(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5*h**3 - h + 1. Let s be u(1). Let b = 5 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -163*a**3 + 5*a**2 + a + 6. Let i(m) = 488*m**3 - 14*m**2 - 2*m - 16. Calculate 8*d(u) + 3*i(u).\nAnswer: 160*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 8, 0.053, 11 in descending order.\nAnswer: 11, 8, 0.053, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 122*j + 6 + 11 + 56*j + 61*j to the form p*j + k and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 48003694657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 - 2*d**2 + 2*d + 7. Let p(z) = -4*z**3 - 5*z**2 + 5*z + 15. Let q(w) = 10*b(w) - 4*p(w). Differentiate q(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 - -12. What are the prime factors of ((-10)\/j)\/(3\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = d - 3*g - 13379, 40125 = 3*d - 4*g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeebbbkbdtjkek. Give prob of sequence tj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -4*x**5 + 336*x**4 + 1384*x**3 + 2096*x**2 + 1404*x + 352 = 0.\nAnswer: -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 4 - 104\/468*-54.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -11*m + 12*m - 131*c + 136*c, 5*m - 15 = 15*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r - 21. Calculate z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 10597, 42404, 95401, 169576, 264917?\n\"Answer: -2*y**3 + 10607*y**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*p**2 + 476*p - 476*p.\nAnswer: -123*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3946933?\nAnswer: 3946933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-6\/7)*h**(-6\/11))\/((h*(h\/(h*h**(2\/5)))\/h*h*h)\/h*h*h*h**(-24)))**(-40\/9) assuming h is positive.\nAnswer: h**(-61592\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7265*p**3 - 924*p**2 + 1?\nAnswer: 43590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 2*x + 3766, -4*z - 5*x + 6*x + 3763 = 0. Let l = -995 + z. Suppose 3*n - 2*n + 3 = 0. Sort n, l, 0 in increasing order.\nAnswer: l, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15.411 and 105.6.\nAnswer: 1627.4016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 10) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 4*c**2 + 14*c + 3. Let m be i(-6). Let p be 24\/m*(-17 + -1). Suppose -g + p = 3*g. Solve 5*t - 3*w = 3*t + g, w = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 637 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -20  (b) -5  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2 = -4*m + 2, 2*b - 4 = m. Suppose 0 = m*y - 3*y. Suppose -q - q + 4 = y. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*v + 26 - 3. Sort 0, 3, v, -100\/3 in descending order.\nAnswer: 3, 0, v, -100\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -46*c**2 + 0 + 7\/6*c**4 - 9\/70*c**7 + 0*c**3 + 0*c + 0*c**6 + 0*c**5. What is the second derivative of g(n) wrt n?\nAnswer: -324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of q**3\/3 + q**2\/2 - q + 7. Suppose -12 = -11*d + 15*d. Let l be (-1)\/((-7)\/d - 2). Calculate y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -100*b. What is the hundreds digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3409*x - 4796 + 27858 = -801 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -212100 (base 3) in base 13?\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -512*h**3 - 5*h**2 - 5*h + 1. Let t be n(-1). What is the highest common factor of 399 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, a: 1, m: 3, g: 1, t: 3}. What is prob of picking 1 d and 1 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 3*m**2 - 1 + m**2 - 11 + 7*m - m**3 - 13*m**2. What is the tens digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.628649475 rounded to three decimal places?\nAnswer: -0.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-172)\/(-19) - ((-21 + 34 - -20) + -24)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 0*a - 9 = -3*p, 3*a + p = 14. Let n be a - ((-6)\/2 - -6). Let o(f) be the second derivative of -f**4\/12 - f**3\/6 + 5*f**2\/2 - f. Determine o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1299066 is divided by 252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -67*(-1)\/((-3)\/3). Let a = 73 + j. Solve 5*x - a = r, -5*x + x = 5*r - 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 6*n**2 + 6*n. Let o be w(6). Suppose 5*j = o + 24. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2. Let s(r) = -19*r + 5. Let a(o) = 29*o - 8. Let k(g) = 5*a(g) + 8*s(g). Determine k(l(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 4*o**2 - 18 + 27.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 10041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-3*sqrt(5100))\/(sqrt(18)\/sqrt(6)*1*1).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 317*a = -237*a - 2270 + 8513 + 4837 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2*a - 5*u = -22, -4*a + 3*u = -70. Suppose 2*j + 2*t = a + 22, 4*t - 53 = -3*j. Let m = -16 + j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 2:42 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 250 and 6246710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/((-21)\/(-3))*4\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -v - 2*v. Factor -7 - q**v + 3*q**3 + q + 12 - 5 - 3*q**2.\nAnswer: -q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 24. Let w = 0.6 - -0.4. Which is the nearest to w?  (a) t  (b) 0  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1052, -2089, -3112, -4115, -5092, -6037, -6944?\n\"Answer: b**3 + b**2 - 1047*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*h**2 + 26*h - 26*h)*(-2 + 2*h**2 + 2) + h**4 + 1 + 2*h**4 - 2 - h**3 + h**3 + 2*h**4 in the form i*h + s + l*h**2 + r*h**3 + g*h**4 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 258, 2, 112, -4, 1 in descending order.\nAnswer: 258, 112, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 379273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300))**2 + 1.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/((6 - 3) + 1). What is the remainder when 43 is divided by g + (18 - (-3 + 6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 2. Let g be (-1 + 10)*4\/3. Suppose -2*j - j + g = 0. Solve -i*x + 4*x + j = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 0*i**2 - 63*i + 63*i - 3*i**2. Let g(c) be the third derivative of -c**4\/12 + c**2. Determine j(g(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(75) + 4)*-1)**2.\nAnswer: 640*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 21 + 546 = 0. Suppose 15*c - 10*c + i = 0. What is the units digit of ((-28)\/c)\/((-1)\/(-55))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, n: 1, q: 10, l: 4}. Give prob of picking 2 c and 2 l.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/6 of a day in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y = 15, -4*s - y + 105 = 0. Let n = -985 + 986. Solve 0 = -4*w + 5*p + n, -4*w + 2*p = 5*p - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 106361\/2?  (a) 2  (b) 1  (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -25*8*-5600*5. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*g - 165*g + 34*g**2 - 88*g + 19*g**2 wrt g.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 14*l. Let d be -7 - ((-3)\/24 - (-217)\/(-56)). Let r(w) = 2*w**2 + 3. Let n(v) = 6*v**2 - 1 - 3 + 12. Let h(b) = d*n(b) + 8*r(b). Give m(h(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 2*m, -2*x - 2*m = -4*m + 4. Solve -x*g - 3*g = -25, -3*f - 4*g = -23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 110 = 4*y, -4*k + k - 66 = -5*y. Let j = k - -24. Solve -j*g + 3*i + 3 = 0, 0*i + 15 = -4*g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 265306857?\nAnswer: 3, 88435619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8103783 is divided by 8103755.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-6) - 13\/(-3). Suppose 9*k - 40 = k. Let p(m) = k*m + 20 - 12 - m**2 - 12. What is p(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(396) + 4 + sqrt(539)*-1 + -2.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1096356620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 2179*s + 15204.\nAnswer: (s - 2172)*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -7. Let p = f + -3. Let k = p - -6. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1 - 2330*p**3 - 9 - 34 + 46.\nAnswer: -2330*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 239 = q, -47*q = -45*q - 4*p - 502. Suppose -q = -31*i - 92. Solve 2*y + 5*a = i, y - 5 - 2 = 2*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9794308 is divided by 115?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**2 + 27847*b - 27847*b + 9*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(125) + sqrt(125) + ((-5*((-1 + sqrt(125) - sqrt(125)) + sqrt(125)))**2 - sqrt(125)) - ((1*sqrt(5)*-1)**2 + 3 + sqrt(20)).\nAnswer: -247*sqrt(5) + 3142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(297)*2*-4)\/(1*sqrt(176) - (sqrt(11) - sqrt(44)\/sqrt(256))).\nAnswer: 1152*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j**2 - j**2 - 3*j**2. Let s(f) be the third derivative of -7*f**4\/24 + 1220*f**2. Give i(s(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2928642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/4*(-1 + 3). Let m = 169 + -168. Which is the biggest value?  (a) 0.5  (b) m  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + 20*c - 17. Let r be u(-11). Suppose -4*w + 15 = -2*t - 1, r*t = w + 5. Calculate the remainder when 6 - 13\/t - (-174)\/4 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from {b: 4, l: 7, y: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 101598 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 2, -3, -4.\nAnswer: -20, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.212 + 1434.788. Which is smaller: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -47*u**4\/24 - u**3\/6 + u**2. Calculate the lowest common multiple of d(-3) and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/2*f**4 + 1\/2*f**3 - f + 3\/2*f**2 + 1\/2*f**5.\nAnswer: f*(f - 2)*(f - 1)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 9:22 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in -0.23, -0.31, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -480*j**3 + j**2 - 175. Let w(q) = -1920*q**3 + 5*q**2 - q - 701. Let r(u) = -9*t(u) + 2*w(u). Find the second derivative of r(p) wrt p.\nAnswer: 2880*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 314025*n**6*u - 2*n**4*u**2 + 2*n**2*u - 3*n*u**2 - 346*u**2 + 313 wrt n.\nAnswer: 37683000*n**3*u - 48*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (1 + 2) - (1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-4) - -1)\/((-88)\/(-528)). Suppose 0 = o*m - 63 - 9. What is the smallest common multiple of m and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*3 - (-28)\/42*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2902, 5784, 8664, 11542, 14418, 17292, 20164?\n\"Answer: -v**2 + 2885*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + n + n - 4*n - n**2.\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 - -2?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -104, 0.8, 732 in ascending order.\nAnswer: -104, 0.1, 0.8, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*h + 7*h - 99*h**2 + 14*h + 411*h**2 in the form r + c*h**2 + d*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 174, 621, 1812, 4113, 7890, 13509?\n\"Answer: 61*y**3 + 6*y**2 + 2*y + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12 + 10)\/(-4)*0. Let z(s) = 4*s**2 - 2*s + 1. Let n be z(1). Determine u so that 0*u - 1\/2*u**5 + 0 + m*u**2 + 1\/2*u**n + 0*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 10*t**2 - 10*t + 11. Let v be y(9). Let o(c) = c**3 + 5*c**2 - 2*c - 6. Let q be o(-5). Solve -s + v*x + 3 = -0*s, 2*x = 2*s - q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -273010.5*-9.6.\nAnswer: 2620900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*g + 27 - 71. Let a be ((-6)\/g - 0)*(10 - 8). What is the derivative of -36 + 3 + 95*r**3 - 75*r**a wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/6 + (-138)\/(-36). Solve -c*p + 9*p = -4*o + 10, o - p = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t - 3. Let x(j) = 4. Let r(q) = -3. Let b(c) = -7*r(c) - 5*x(c). Let z(u) = 3*b(u) + k(u). Let g(n) = -10*n**2. Determine g(z(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = v - 20. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*u - 8616, -30*r = u - 28*r - 4298. Suppose m - u = 3*q, -m + 7*q + 4304 = 6*q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**5*y*y))**(1\/4))**50 assuming y is positive.\nAnswer: y**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -416 * -137\nAnswer: 56992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4744 + -9285\/2. Let u = j - 1033\/10. Is -3 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g**3 + 224*g**2 + 115*g - 2501. What is u(-74)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1095 in 27, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*i - 10 = 27*i. Suppose 3*a - i*u = 34, 2*a - u - 20 = -9. Solve 2*m - a*f - 18 = 0, 4*m + f - 20 = 3*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 260*y**2 - 139*y**2 + 350*y**2 as r + t*y**2 + a*y and give t.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 2. Let n be g(1). Let x(m) = -2*m + 1 - 2 + 0*m - 35*m**3. What is the remainder when x(n) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - ((10 - 1) + -5)) + (-6 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -159*n + 392*n + 4*n**3 + 49*n**2 - 22 + 96 - 114*n.\nAnswer: (n + 1)*(n + 2)*(4*n + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*r = -8*r - 39. Suppose -r*b + 7 = -8. Suppose -p = -3*j + j + 2, -3*j + 3 = -b*p. Solve 0 = -4*f - 4*m + 8, p*f - 6 = -3*f + 3*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 4*n**2 + 0 + 1\/4*n**4 - 1\/3*n**3 - 1\/15*n**5 + 0*n. Factor q(g).\nAnswer: -2*(g - 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-6))\/(2\/(-447)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4b27 - -3?\nAnswer: 4b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of k**7\/2520 - k**4\/6 - 2*k**2. Let o(s) be the second derivative of d(s). Let y(g) = -11*g. Determine o(y(l)).\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 2\/77  (b) -0.2  (c) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -137 divided by -3\nAnswer: 137\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -32655 times -1512?\nAnswer: 49374360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 39, 77, 4, 2 in descending order.\nAnswer: 77, 39, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 824 = 140*i + 204*i + 480*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 156894107 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -205667*p + 3290572. What is s(16)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 10. Let y = -14 + o. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 12*a**2 + 2*a + 30. Let v(k) = 4*k - 12. Let f be v(0). Let o be p(f). Solve 0*y + o = y + 4*q, 4*y = 5*q + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -614 (base 16) in base 13?\nAnswer: -929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-16))\/((-3)\/(-12)). Solve c*j + 2*o - 25 = 6*j, -4*j = o + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30161.549966 - -30179.55. Let p = r - 18. What is p rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2374.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*g - 62*g + 202*g - 69*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -899 + 1011. Calculate the lowest common multiple of 20 and c.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*q + 4*y - 26, 5*q = -5*y + 50. Suppose -5*j + 13 + 106 = -2*h, 4*h = q*j - 113. What is the remainder when 47 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -59*o**3 - o**2 + o - 1. Let u be j(1). Let l = -25 - u. Suppose 2 = 3*y - 2*x, 2*x = -5*y - x + l. Solve -2*w - 5*c = 6, 5*w - c = -y*c - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3510 + 3510.79685. Round l to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 34 = 3*g, 5*o = g + 10 + 18. Let k be (-400)\/15*6\/(-4). Suppose -317 - k = -d - 4*x, -5*x + 1860 = o*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 divided by 3?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 79, -1, 698 in ascending order.\nAnswer: -1, 79, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 310*j**4 - 36630*j**2 + 9 + 149 - j**3 + 36630*j**2 with respect to j.\nAnswer: 1240*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-84.6.\nAnswer: -16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.1  (c) -6\/7  (d) -0.3  (e) 3  (f) -4  (g) 0.0197\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 288\/5 + -531\/10. Factor y*z - 3\/2*z**2 - 3.\nAnswer: -3*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -6*o**2 + 49*o + 57. Let w be i(21). What is w rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from {n: 1, z: 2, a: 1, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/24 and 65\/114.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7135 + -3150. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 - 8*v - 2. Let i(m) = 4*m**2 + 48*m + 49. Let t(b) = i(b) + 6*u(b). Let g(x) = 14*x**2. What is t(g(f))?\nAnswer: -392*f**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*v - 23 = 0, -n - 4*v - 14 = -0*n. Let d be n\/(-15) - (-91)\/105. Let o be -5*4\/10*-1. Solve 3*s + o*k + 16 = 0, 5*k = 5*s - 16 + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -112 - -149. Calculate the remainder when l is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (51 - (74 - 37)) + (-1 - 57 - 0)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 18740*s + 87796900.\nAnswer: (s - 9370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 11*y + 86. Let c be h(22). Is 327 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16718, -29481, -42248, -55019, -67794, -80573, -93356?\nAnswer: -106143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -c**4\/3 - 27*c. Let i(n) = -9*n**2. Give s(i(a)).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -3*u + u - 3*b, -5*b = -2*u - 17. Suppose u*j + 0*j - 20 = 0. Suppose 5*m = -3*p - 600, -j*p + 2*p = m + 108. Round m to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -22. Let k be 3*i*(-3)\/(-6). What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0817 - -748.\nAnswer: 748.0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36282.45 months to millennia.\nAnswer: 3.0235375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 8 = 2*q, 2*a - q = -5*q - 8. Suppose -5*c + 14*y - 16*y = -543, -547 = -5*c + a*y. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 2*x - 4*x)*(28 - 28 - 6*x) + 4*x**2 + 8*x**2 - 5*x**2 - 2 + 2*x**2 + 2 + (2*x - 5*x + x)*(-x + 2*x - 3*x) + 2*x**2 - 4*x**2 + 0*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w + 42. Let s(t) = t**3 - 6*t**2 - 7*t - 3. Let c be s(7). Let f = 10 + c. What is the remainder when u(-12) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-105)\/(-392)*(-8)\/6)\/(-8*(-160)\/(-128)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.3 and 3183512?\nAnswer: 3183510.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*sqrt(136))\/sqrt(8) - ((-1*sqrt(833))**2 + 1).\nAnswer: -834 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 33 - -11667?\nAnswer: 1169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3410298l?\nAnswer: 341.0298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271*b - 279*b - 3 + 3 + 829*b - 280*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2 + 3036840*o.\nAnswer: -2*o*(o - 1518420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -985233623 rounded to the nearest 1000000?\nAnswer: -985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 192.388 - 192. Let y = 67.612 + d. Are y and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 4*y - 8, 2*u + 0*u + 5*y = 13. Let x(q) = 2 + 30*q - 3 - 29*q. Let c(s) = 1 + 4 - 1 - 2*s. Calculate u*x(r) - c(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - f + 2. Let s be q(2). Let r be (s\/1)\/(2\/4). Let i = 60 - r. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 3*w**2 + 3*w**2 + 824*w - 825*w + 218*w**3.\nAnswer: 218*w**3 - w + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 44856269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 34\/(-22) + -4 + -2 + 7. Let o = 9.9 - 10. Which is the closest to -1?  (a) o  (b) -3\/7  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 3*a**3 + 32*a**2 - 10*a + 7. Calculate v(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120433, -120427, -120421, -120415, -120409?\nAnswer: -120403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-2))\/((-4173)\/29211)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -810 or -804?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45 + 45.3. What is the third smallest value in o, 2\/13, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x + 17*x - 8*x)*(159*x**4 + 5610 - 5610).\nAnswer: 2385*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 10:33 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 2 + 108*a**2.\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*q - 6*q + 124576. Find the common denominator of 9 - (-2 + q\/(-2840)) and 34\/3.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**9)\/x**(-3\/4)*x\/((x\/x**(-2\/11))\/x)*x**2)**(1\/32) assuming x is positive.\nAnswer: x**(597\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 468688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 minutes after 1:00 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*(-5 - (-1374)\/12) - 3. Let g be 36\/m - (-42336002)\/(-12). What is g rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3373646569?\nAnswer: 37, 91179637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 43234 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 43634, 43653, 43672, 43691, 43710?\n\"Answer: 19*m + 43615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/66 - -82\/33. Let m = -2.8 + 2.7. Which is the smallest value?  (a) m  (b) 1\/4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.184 * 81.\nAnswer: -14.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 42 = -4*p, 4*p + 28 = -29*a + 5*p + 76 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 3*l + 1155, -3*o - 265 = l + 882. Is 14 a factor of o\/(-9) - ((-6)\/(-9))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3\/4 and 6632149 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) - (-2*sqrt(133)*4 - sqrt(133)))\/((-1*sqrt(21))\/sqrt(3)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/57))**26\/(n**(-13\/4)\/((n*n\/(n\/((n*n**(3\/19)*n)\/n)))\/n*n)))**34 assuming n is positive.\nAnswer: n**(24497\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 5. Let v(y) = -2*y**2 + y + 10. Let i(w) = 5*u(w) + 2*v(w). Let j be i(4). Suppose -j - 3 = -l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -233, -467, -711, -971, -1253, -1563, -1907, -2291?\nAnswer: -2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3743 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 11*a**2 - 1. Let p be j(-1). Let w(u) = -u**2 - 5. Let y be w(0). List the prime factors of -1*4*p\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(704)*-2 + sqrt(704)) - (sqrt(704) + (sqrt(704)*-2)**2)*-2) + (sqrt(495)\/sqrt(225))\/(sqrt(120)\/sqrt(6)).\nAnswer: 241*sqrt(11)\/10 + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 7*c**2 + 11*c + 7. Let y be m(-5). Let q be (8\/(-12))\/(y\/(-9)). Suppose 0 = -3*d - q*d. Solve d = 2*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 1 - 8) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79207 is divided by 445?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*2*(-27)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/(399\/(-63)))\/1 + 20\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26031961 is divided by 8092?\nAnswer: 8089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 50 = -5*p, p - 3*p = 5*g - 104. Suppose -2*i = 5*s + i - g, -8 = -2*s - 2*i. Let l = -31 - -67. What is the highest common divisor of s and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2589723 (base 11) to base 2.\nAnswer: 10001000101010110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 253528811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11387637 or 11387635?\nAnswer: 11387637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9048\/1392*(-45)\/(-780).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -7*q**2 - 5*q + 7. Let r be (-6)\/4*(1 - 6\/(-6)). Let d be y(r). Is d != -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139 - -135 - -53*(-42)\/(-495) - 4\/30.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 4) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(20)\/sqrt(2))\/((sqrt(8) + sqrt(2) + sqrt(2))*-6))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150059 and 9503?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-38*q - 655 + 655)*(-5 - 3 - 3)*(-2 + 2 - 1)*(5 - 5 + 2)*(-4*q + 0*q + 3*q) in the form d*q + i + f*q**2 and give f.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17289 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*i - 214*i - 2*h + 4 + 5 = -1, 2*i - 2*h + 104 = 0 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 1 - 3 + 12 + 1614*f**2 - 7 to w + x*f + h*f**2 and give h.\nAnswer: 1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 151961021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.346 and 9734.\nAnswer: 3367.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1136, 5\/198, 0.5, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2145)\/(-275)*(333\/(-111))\/(6\/(-20)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/1 - (-1 + -2). Let s(t) = v + t - 4 + 1. Let w be 6*1\/(-1) + 2. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*l**3 - l**3 + 3*l**3 - 5*l**3 - 3*l**3 - 2*l**3 + (2*l - 4*l + 4*l)*(8*l**2 + 12*l**2 - 3*l**2) to the form m*l**2 + h*l**3 + d*l + c and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.8 - 0.2. Let r = 6 + y. Sort r, 3\/2, -5.\nAnswer: -5, r, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2\/3 - 2434*p - 36485\/3 = 0. What is p?\nAnswer: -7297, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 - -27. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**3*h - c**3 + 44*c**2*h + 5*c**2 - c*h + 2*c - 1763*h wrt c.\nAnswer: -12*c*h - 6*c + 88*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-d + 3*d - 4*d)*(5*d**2 - 4*d**2 + 5*d**2) + 0*d**3 + 3*d**3 - d**3)*(13*d**2 - d**2 + 5*d**2).\nAnswer: -170*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -57. What is the units digit of v\/1*4\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -13.21.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 430 - 430. Suppose t = -8*p + 516 + 1052. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -171*f**4 + 1 + 873*f**2 - 873*f**2 - 3*f**4 + f**4 + f**4 + 0*f**4 + 0*f**4 - f**4 + (-3*f**3 + 2*f**3 + 0*f**3)*(-5 + 5 + f).\nAnswer: -174*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10948 and 138925612?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fphm when four letters picked without replacement from hwvhfmp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 60020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 3, 2\/5, 4, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/5, -3\/7, -129\/2, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -22721?\nAnswer: 11\/22721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/6 and -91\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -82.2292 and -9?\nAnswer: 73.2292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1040, 1041, 1042, 1043?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/(-5) - (-282)\/1410?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 7 = 3*g, 5*g + 5*n - 14 + 29 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 - 4*z + 4. Let w be f(-5). Let c = w + 48. Suppose 4*k - 9 = c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -405*j - 6108. Give q(-15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -425070799*f**2 + 221801806*f wrt f?\nAnswer: -850141598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2881 + -2860. Solve v + z = 21 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -8, 4\/7, -1\/102837?\nAnswer: -1\/102837","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 36\/(-15)*(-5 - -130). Let t = -165 - z. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 193446128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 390 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*i + 3 = 0, 0 = l - 2*l - i + 2. Suppose k + l*d = 2, -4 = -4*d + 4. What is the closest to k in 1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004441 rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 3*a - 8. Let t be j(-8). Suppose w - 2*w + 5*i + 39 = 0, 5*w - 2*i - t = 0. Let l = w - 8. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 98706500*o - 39689938?\nAnswer: 98706500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/8 + 209*r\/8 + 105\/4.\nAnswer: -(r - 210)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78037*b**4 + 1054*b**3 - 2503*b**2 + 2314*b - 2.\nAnswer: -1872888*b + 6324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*f + 10 - 0. Solve -5*s + 24 + f = -5*a, 4*s = -a + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 57*q - 59*q + 330. Let v = 169 - q. Solve -8 + 26 = v*b - 3*x, -5*x = -3*b + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6808397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2. Let u(y) be the third derivative of 0 + 1\/24*y**4 - 27*y**2 + 0*y**3 + 0*y. What is k(u(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35724847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40 + -35. Let u = 0 + 2. Suppose -u*g = -7 - r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -8187099.\nAnswer: -4\/8187099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -27213514606 - 9937\nAnswer: -27213524543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21112112121 (base 3) in base 6?\nAnswer: 3102541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1466112253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -334.2 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = s - 5*t, -2*s = 4*t + 8. Suppose s = -3*g + 2 + 13. Suppose g*h = -0*h + j + 65, -h = j - 19. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 139238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 704439102 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.504492t to micrograms.\nAnswer: 1504492000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 33*l - 68. What is w(31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-20)\/(-4) + ((-2)\/(-2) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23355*l**5 - l**4 + 42673*l wrt l.\nAnswer: 467100*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2078824.999808 - 2078883. Let a = l + 58. Round a to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from xxhhxphxhxsxhhxxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123 + 174. Let w = k - 54. What is the third biggest value in 3, -11, w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g + 12*g + 0*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -292 - -291. Which is the third smallest value?  (a) r  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 0. Let u(p) = 222*p**3 - 3*p + 3. Let h be u(1). Suppose -h = -s*i - 4*i. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*x**2\/3 + 196*x\/3 - 344 = 0. What is x?\nAnswer: 6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((l + 3*l - 2*l)*(-2 + 5 - 1) + 3*l + 0*l - l + 0*l - 3*l + 6*l)*(-4 - 3 + 4) in the form t*l + q and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, p: 1}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (54\/(-84))\/(12\/(-14)). Which is the closest to -1\/2?  (a) 2  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1259, 1732, 8969, 20452, 36181?\n\"Answer: 2123*y**2 - 3378*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1978908.\nAnswer: 2, 3, 37, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -635.7, -235 in increasing order.\nAnswer: -635.7, -235, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -122  (b) 3\/4  (c) -0.4  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 188 - -263174?\nAnswer: 263373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-10)*30\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iaiaaiaiaaarr. What is prob of picking 2 r and 1 i?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1857751627.\nAnswer: 1857751627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -2*s + 45. Let h = 202\/5 - 216\/5. What is the common denominator of h and 96\/s + 14\/(-84)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**4*j**(-1)\/j*j)\/((j\/j**(8\/7))\/j*j**(-1\/7)))**(-2\/11))**(-3\/20) assuming j is positive.\nAnswer: j**(9\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 0)*(-2 - 1 + 1) + 4 + 2 - 4)*(4*h + 3*h - 5*h - 4*h + 2*h + 4*h + 0*h + h + h + (0*h - h + 2*h)*(4 - 1 - 4)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.581, 0, -611, -16 in decreasing order.\nAnswer: 0, -0.581, -16, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -5*o + 55. Let v(z) = -z + 1. Suppose -5*d - 7 = -57. Let t(u) = d*v(u) - q(u). Let h be t(-10). Solve 8 = g + 2*c, -9 = 5*g - 2*g - h*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 152*p + 11856. Let k be o(-78). Let b(f) be the second derivative of 4*f - 2\/15*f**4 + 1\/5*f**2 - 1\/30*f**3 - 1\/20*f**5 + k. Factor b(h).\nAnswer: -(h + 1)**2*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from doswpxxxsxxdwxwxwd. Give prob of sequence xx.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, r: 2, i: 1, z: 1}. What is prob of sequence mzrr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*(8\/48 + 3\/6). Let g be ((-2)\/3)\/(4\/(-2)). Which is the closest to -2\/9?  (a) g  (b) -1\/5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 475*c - 477*c + 4070 - 4065.\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10898 - -63602.\nAnswer: 52704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 17. Suppose -67 = 70*u - 417. Calculate the remainder when d is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 820 is divided by 162.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 16 = 9*y. Let u(p) = 2*p**2 - 2*p - 8. Let k(o) be the first derivative of o**2\/2 - o + 2. Let g(v) = y*k(v) - u(v). Suppose g(h) = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -6*x - 6. Let o be z(3). Let h = o + 30. Solve r = -r - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - (5 + -4)\/(2 - 1). Differentiate -10*m**x - 10 - 2 - 6 - 5 wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 255*w - 779074 - 642182 = 427749. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 36, 79, 140, 219, 316, 431?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 3:46 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -112 - -445\/4. Let h = -0.4 + 0.9. Let o = 13\/2 - 25\/4. What is the third smallest value in h, o, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + (2\/4)\/(4\/8). Let b be (u\/(-12))\/((-20)\/9 + 2). Suppose -b*f - 11 = -92. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 3*q - 2*q**2 + 7*q**2 + 3*q**2 - q**2 + (5*q - 2*q - 4*q)*(-7 + 7 + 4*q))*(-3*q**3 + 2*q**3 - q**3).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 342463882 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5*418\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) + 0 + sqrt(2) - (1 + sqrt(2) + sqrt(2))*-2)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.49351 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 53 - 23 = 0. What is o rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13709298 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -20, 130, 440, 916, 1564, 2390, 3400, 4600?\n\"Answer: m**3 + 74*m**2 - 79*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 835780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1083684?\nAnswer: 2, 3, 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of k**7\/840 - k**6\/90 - k**5\/24 + k**4\/4 - k**3\/6 - 5*k. Let h(o) be the second derivative of c(o). Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 829409283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from ktszccktkckzccckctc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63 - 66. Put 5, 3, 8, o in decreasing order.\nAnswer: 8, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 145 + -138. Let q(o) = -o**3 + 8*o**2 - 6*o - 5. Let c be q(7). Calculate the lowest common multiple of -4 + c + -1 - -8 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7452480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 7 - 3. Let r be (-128)\/20 - v\/10. Let t(h) = -h - 14. What is t(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1020757479 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 25 * 0.18\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/16110 and 79\/675.\nAnswer: 241650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 10:54 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 9*b**2 + 3. Let f be y(-9). Suppose 1737 = f*a - 2343. What is a rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -103130022 + 1?\nAnswer: -103130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -467 - -7003\/15. Let k = s + 4\/255. Sort k, -8, 0.5 in ascending order.\nAnswer: -8, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s + 11. Let a(g) = -371*g. Determine x(a(d)).\nAnswer: -2226*d + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*o - 3. Let s(h) = -3*h**o - 5*h**2 + 2*h**3 - 2*h**2 + 0*h**3 + 3 + 3*h. What is the units digit of s(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-400)\/(-28) + 30 + -44. Which is the closest to h?  (a) 18  (b) 2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24*(-32)\/15360 - (-22)\/(-360)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + 2 - 1*-4299. Suppose 5*l - 243 = -h. Let f = l + 1535\/2. Find the common denominator of f and 4\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*x + x**3 - 2*x**2 - 9*x + 20*x in the form s*x + k*x**3 + d + p*x**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135525938 is divided by 1349.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*v*y**2 - 1682*v*y - 23*v - 1474586*y**2 wrt v.\nAnswer: 2*y**2 - 1682*y - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -879 = -47*d - 112*d + 234 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5004)\/52542 + (-158)\/105 + (-1 - -2). Let n be -4 + (-1 - 0)\/1. Which is the smallest value?  (a) v  (b) n  (c) 0.1  (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 68089063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n - 2. Let k(r) = -2*r**2 + 5*r + 8. Calculate k(l) + 3*o(l).\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 20295*q - 7. Let h be j(2). Suppose -6*v + h + 49183 = 0. Suppose -10*r + 7*r = -v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35720189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 220, 604, 1182, 1948, 2896, 4020, 5314, 6772?\nAnswer: 8388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t + 3*t - 3*t)*(3 + 3 - 4) - 1 + 2*t + 1 - 6 - 10*t + 1 + 4 to the form x*t + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-24) + -5 + (-8771)\/6. What are the prime factors of (-1)\/(o\/(-2946) - (-8)\/(-16))?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 21, 98, 213, 372, 581, 846?\n\"Answer: c**3 + 13*c**2 + 31*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 456*n - 24583. Give r(54).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 + 9 + 5 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5449*(2\/(-4))\/((-67)\/6298) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 7:03 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 545534503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -4. Suppose z*p - 24 = -4*i, 4*p - 8 = -2*i + 10. Solve 8*y - 3*y - 1 = 3*k, i*k = 4*y + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 5*o + 25, -2*c - 186*o - 35 = -189*o for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413584 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 630?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5 - 0. Let c(j) = 7*j + 23. Let x(v) = 4*v + 12. Let k(q) = 3*c(q) - 5*x(q). What is the least common multiple of p and k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3 + -9 + -5 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 193465 divided by -1.\nAnswer: -193465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*x**2 + 7*x**2 - 9*x**2)*(0*x + 0*x - 4*x)*(-5 + 13 + 13)*(2*x - 2 + 2 + (1 + 3 - 6)*(x + 2*x - x)).\nAnswer: 1512*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - g - 5 - 14 + 3*g to b + q*g and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p + 0*p - 1 + 2. Let t be q(4). Let y be 11899 + (0\/t - -1). Round y to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*l - 18*l - 5*j - 85 = 0, 0 = -j + 1. Solve 54*i + l = 44*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 14752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 0*n**2 - 4*n**2 + 3*n**2. Let q(v) = 2*v**2. Determine q(x(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 - -723281.640346.\nAnswer: 723286.640346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0237 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -241  (b) -2  (c) 3  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 8*u - 8. Let o be j(8). Let m be ((-4)\/11)\/(16\/o). Sort 2, m, 5 in ascending order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111101010 - 1001100111111110?\nAnswer: -1001100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 26*b.\nAnswer: -2*b*(b - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 56 = -k + 5*a, 0 = -3*k + 2*a + 62. Let c = -88 + 178. What is the greatest common divisor of k and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312 = 127*t - 166*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (19305\/90)\/((-1)\/(-6)) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f + 4*f - 2*f + 0*f + f - 2*f + (1 - 1 - f)*(2 + 4 - 4) - 2*f - 2*f + 2*f + 0*f + 0*f - 5*f + (5*f - 3*f - 3*f)*(1 + 2 - 2).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2009, -4279, -6841, -9725, -12961, -16579, -20609?\nAnswer: -25081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -682173.515 rounded to the nearest one hundred?\nAnswer: -682200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -27*a**4\/4 - a**2 + 281*a + 562. Find the first derivative of k(s) wrt s.\nAnswer: -81*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 76058 - 52621. Suppose 0 = -3*o - 1279 + j. Is (-1)\/((-3)\/o) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 690\/(-120) + 2\/(-8) + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 2*b + 4 = 0, -2*b + 8 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 - 50*v - 26. Let g be o(13). Suppose -3*d + 0*a = -4*a, -5*d - 4*a = g. Solve 4 + d = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*x + 2*x + 93 + 68. Put -0.4, x, -150, 1 in ascending order.\nAnswer: -150, x, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -7*x**3 - 14*x. Let y(g) = g**3 + g. Let z(k) = -h(k) - 6*y(k). Find the second derivative of z(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -133*u**3 - 2*u**2 - 17*u - 143. List the prime factors of b(-6).\nAnswer: 5, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*b*m**3 - 4*b - 201*m**3 wrt b?\nAnswer: 3*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -0*y - 3*y. Let j = y + -15. Is (-1 + j)*305\/10 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f - 6. Let r be c(-2). Suppose 0 = -5*j - r*j + j. Solve j = 3*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 + 6*j**3 - 3*j**3 + (-5*j**2 + 6*j**2 + 3*j**2)*(0*j + 0*j + 3*j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10591.9 + 10592. Which is the biggest value?  (a) r  (b) 5  (c) 768  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 8172251\nAnswer: -10\/8172251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81 - 183. Let k = f + 1532\/15. Put 0, -1, k in descending order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j - 2*j - 2*j - j + 3*j + 10*j + 2*j + 2*j - 2*j + (-1 - 1 + 5)*(-1 - j + 1).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1444221031143 - -3?\nAnswer: -1444221031140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-5) - 54\/(-15). Let h be (-1 - -7)*2\/6. Suppose 0 = 6*n - h*n. Sort 4, a, n.\nAnswer: n, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 36*r + 31. What is m(-37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from xffhe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/64 and -77\/36500.\nAnswer: 584000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 3*s - 4*p - 14, 4*p + 30 = 5*s. Let g(n) = n - 6. Let t be g(6). Put -2, s, t in decreasing order.\nAnswer: s, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u. Let d(o) = o - 8073. Determine g(d(w)).\nAnswer: -2*w + 16146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*x**5 + 55546932*x**4 - 150769028*x**3 + 64615100*x**2 + 28339992*x + 2267200 = 0. Calculate x.\nAnswer: -1\/7, 1, 2, 283400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 126 = -2*k, 2*j - 25 - 25 = -k. Let q be j\/2 + (-5 - -2). Suppose 4*i - q = -i. Let w(t) = -2*t - 2. Calculate w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 195*b - 204*b. Solve 5*v - 3 + 28 = b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 800, -14, 493, -4, -5 in ascending order.\nAnswer: -14, -5, -4, -3, 4, 493, 800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*s - 49*s - 7 = -i - 94*s, -6*i - 2*s = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -1373120*u + 10984968. Give p(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (59 + 17*g - 59)*(-1 - 1 + 1).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k + 14*k - 1111*k**3 - 5*k + 0*k.\nAnswer: -1111*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/63, -104, -2, 14, 0.07 in descending order.\nAnswer: 14, 0.07, -2\/63, -2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g + 8. Suppose -y + 4 - 11 = 0. Let d be u(y). Is -0.8 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 33072390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 6*m**2 + 8*m - 5. Let s be d(7). Solve -4*r = s*k - r, r = 5*k + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lzllyllyyly. Give prob of picking 1 z and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 312538357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114350 divided by -19.\nAnswer: -114350\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*t - 6*t - 13*t + 14*t.\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -24. Suppose l = -2*c + r + 3 + 2, -c = r - 7. Put -2, 1\/2, 2, c in decreasing order.\nAnswer: c, 2, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.122, 1\/8, 0.4, 1\/2, -2\/9 in ascending order.\nAnswer: -2\/9, 0.122, 1\/8, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x - 1. Let k be l(0). Let c = k - -8. Suppose 3 = -4*m + c*m. Is 1\/23 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.5315 - -236.8945. Let j = z + -239. Let n = j - 32.326. What is n rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -600 divided by 25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*u + 21002 + 13764 = 0, 0 = s + 2*u - 11592. Suppose 0 = o - 334 + s. Is ((-2)\/(-3))\/((-16)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 93 in 51, 62, -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24 + 18)*2\/(-4). What is the second derivative of 199*w**3 - 91*w + 65*w - 190*w - 386*w**c wrt w?\nAnswer: -1122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*d - 359 = -w, 825*d - 822*d + 4 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9.38 + 9.18. Sort 0.114, -3\/2, v, -0.3, -5 in descending order.\nAnswer: 0.114, v, -0.3, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.086 - -0.08598074. Round v to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(48) + (sqrt(48)*-1 - sqrt(48)) + sqrt(48) - sqrt(48))\/sqrt(4) - sqrt(12)) + sqrt(972)*-2)\/(2*4*sqrt(726)).\nAnswer: -5*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dbbd when four letters picked without replacement from bbbbdododdbgdbdgbdbg?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 5*k - 322, 2*s - 218 = -0*s - 5*k. Let j = 106 - s. Solve -4*t + j*t + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 176 and 2261732?\nAnswer: 9046928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96*4\/(-1152) - 37\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7 = 2*v - 4, 5*t + 5*v - 15 = 0. Suppose -533 = 3*y - 4*a + 2*a, t*y + a = -530. Let h be (-1 - y\/225)\/((-2)\/3). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -134*h**2 - 63*h - 11. Let z(w) = 14*w + 2. Let t(f) = -k(f) - 5*z(f). Let i(r) = 45*r**2 - 2*r. Give -7*i(l) + 2*t(l).\nAnswer: -47*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 84126*z**2. Let m(s) = -5*s**2 - s. Determine m(q(k)).\nAnswer: -35385919380*k**4 - 84126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 2*d**2 + 4*d - 1. Let o be z(3). Suppose -4*b + 2*l = -o - 4, 0 = -l - 3. Suppose 4 = -2*c - 0. Put -1, b, c in decreasing order.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.084 - 0.216. What is the third smallest value in g, -363, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -58\/285, -3, 42 in descending order.\nAnswer: 42, -58\/285, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/2 - 27673*i**2\/2 + 13835*i + 27672.\nAnswer: (i - 27672)*(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228*k**3 + 815*k**3 - 58*k**3 + 154*k**3 + 167*k**3.\nAnswer: 1306*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 z when four letters picked without replacement from {z: 15, m: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 5.88.\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 13. Let l be (1 - 7)*(-30)\/36. Suppose 3*m - 28 + 7 = -l*b, -y*b = 5*m - 35. Solve -2*w + m*w = -5*z + 15, 18 = w + 4*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 33\/(-99) - (-88)\/3. Suppose -2*a + 145 = 3*a. Calculate the greatest common factor of a and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 15620.32mm?\nAnswer: 1562.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, j: 11}. What is prob of picking 2 j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-80))\/((-36)\/(-3168)*3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 22123112?\nAnswer: 22123102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 4*f - 3. Let o be d(-5). Let k be ((-2)\/3*69\/(-46))\/(-1). Sort k, 1\/2, o, 0.3 in decreasing order.\nAnswer: o, 1\/2, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 120 - 116. Suppose -x*j + 2319 = -2165. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -4*c + 173, -2*c + 5*p + 167 = 2*c. Calculate the remainder when c is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 266*q**2 + 67*q - 365. Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 3*s - 2 - 7 = 0, 9 = -3*c + s. Let q(f) = -8*f + 1. What is q(c)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/(-1 + (-52)\/(-16)). Put d, -2\/11, 1, -0.5 in increasing order.\nAnswer: d, -0.5, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) 0.4  (c) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-424)\/(-336) - 6\/14. Which is the biggest value?  (a) 0.1  (b) -2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 31*t - 2. Let p = -27 + 14. Let k = p + 16. Is i(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**3 + 10*s**2 - 9*s - 3. Let l(r) = r**3 - 1. Let y(q) = 5*l(q) - x(q). Factor y(m).\nAnswer: (m - 2)*(m - 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcc. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 5 = -c, 4*u - 4*c - 32 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4655 times 89.9\nAnswer: 418484.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -17*1 + (-15)\/(-5). Let f = j + 18. Suppose -8999988 = -2*x + f*z, -5606126 + 1106111 = -x - 5*z. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 429 divide 940673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*((-21)\/6 - -3). Let f be (0 + 0)\/(2 + -1). Solve 0*r - 5*h = -3*r - 9, -r + h - n = f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/10 + (-11438)\/(-10). Let l = d - 387. Suppose -l - 7 = -4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 + 0.50856804\nAnswer: 0.47856804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -100649 - -34449. What is y rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 21\/4, -0.5, 8, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -211 + 114. Let a = d - -18. Let c = 137 + a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43953 and 515453?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 8*j**2 - 54*j + 72. Let q be y(12). Which is the closest to -2\/5?  (a) 2\/3  (b) -1.4  (c) 0.1  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, 6, 23, 46, 75, 110, 151?\n\"Answer: 3*i**2 + 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yqgqgaqgaaagyoaaa. Give prob of sequence yy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3*m = 0. Let t = 269.7 - 270. Which is the smallest value?  (a) 0.1  (b) m  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/4 and 38\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/(-21))\/(4\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/18*(1 + 1). Let i = -162 + 162.5. Put t, 5, i in increasing order.\nAnswer: t, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 4*y - 6*y. Suppose 4 = 3*h - 3*r + 22, 0 = -4*h + 3*r - y. Sort -1, 5, h.\nAnswer: h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-4) - 3\/(-6). Is r at least 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k + 10 - 7 - k**2 - 1. Let d(b) = -b**2 + 2354 + 7*b - b**2 - 2345. Let l be d(4). Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*t - 91*t + 5 = -l, -2*t + 3*l = -14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**3 + 8*p**2 - 40*p + 30. Calculate x(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + (-3 - -3) + 2354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 28*m = 35*m + 8, 14*q + 6*m - 4*m = 17*q + 14 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f + 2. Let p(q) = 3 + 0 - 3 - 1. Calculate -4*p(a) - v(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -19. Suppose 20 + 5 = d*b. Solve p + 12 = b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 7504393?\nAnswer: 7504396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 28\/(-98) + (-30)\/(-7). Suppose z*l + 9*l = -1071200. What is l rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228845595 greater than 228845594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 22\/1135?\nAnswer: 22\/1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 583?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 608 and 165908?\nAnswer: 1327264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 261587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -312798 divided by -3\nAnswer: 104266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -13. Let r(g) = 2. Let n be ((-27)\/6)\/(1\/(-10)). Suppose -4*q - n = q. Let k(d) = -d - 9. Give q*r(i) + v*k(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from zjrszsrsszz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36\/10*30\/12. Let f = -8 + d. Solve -4*l + 9 = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21972.75 kilometers in micrometers?\nAnswer: 21972750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/92 - -251\/460. Which is the biggest value?  (a) 1\/12  (b) 5  (c) h  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3507)\/35)\/(((-105)\/25)\/7). Which is bigger: 169 or a?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**3*w**3 + 11*m**3*w - 2546*w**3 - 184*w**2 wrt w?\nAnswer: 6*m**3 - 15276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*o + 531*o - 8802 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g + 91 = -103 + 50 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 896138 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166887, -1334361, -4503005, -10673403, -20846139, -36021797, -57200961?\nAnswer: -85384215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1529, -1512, -1483, -1436, -1365, -1264, -1127, -948?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 251, 4, -143, 1, 2 in decreasing order.\nAnswer: 251, 4, 2, 1, -1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3354165)\/(-150) - -6) + 1\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 27\/23  (b) 3\/5  (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06831233 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1025*n**3 - 1220*n**3 + 359*n**3.\nAnswer: -1886*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - 3, 0 = 3*k - 415*f + 412*f + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4039 + 4042. Let s = 125 + -127. Sort -1, 1, x, s.\nAnswer: s, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*j**3 + 6*j**3 - 2*j**3)*(5 - 2 - 5 + (4 + 2 - 4)*(-2 + 1 - 1) - 1 + 2 - 3 + 0 + 3 - 1).\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 2*u - 32, -100*u = 3*f - 101*u - 28 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 10 + 7*u - 7*u + u**2 to the form j*u**2 + n*u + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*z - 2611 - 3488 = 0. Suppose 100*q + 168 = z*q. Which is smaller: q or 36?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 28. Let y = -6 + k. Suppose 0*a + 1 = -4*a + y*h, -3*h = -5*a + 15. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -l + 2*p, -l - 4*l + 4*p + 17 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -7*h**3 + 24*h + 5. Let i(z) = 15*z**3 - 47*z - 11. Calculate -6*i(y) - 13*r(y).\nAnswer: y**3 - 30*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11847*k - 12902*k - 16234*k + 1 - 1.\nAnswer: -40983*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 58646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/4 of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -4*y**2 + 58. Let n(w) = -12*w**2. Determine g(n(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 - 21*q**2 + 27*q - 36. Give l(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.04 + -0.03. Let o be (-4 - 1) + (-2 - -5). Which is the smallest value?  (a) v  (b) -0.4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(384) - 1*sqrt(384)) + sqrt(384))*-2 - sqrt(384))\/(-1*(sqrt(64)\/sqrt(2))\/sqrt(4)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1534 and -0.9.\nAnswer: 1380.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 816\/17*212\/26288\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 7. Let p = -14 + 50. Suppose 7*k + p = 4*k. Let v = k + 5. What is q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 0.4. Suppose -4*b + 54 = 30. What is the closest to o in b, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 210486729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/65637 and 68\/189?\nAnswer: 459459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 25*k + 114. Let f be w(-5). Let j(a) = a**2 + 16*a - 34. Let d be j(f). Is d smaller than -177\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 192 and 693824.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i**5 + 76*i**4 + 108*i**3 - 172*i**2 - 224*i - 48 = 0. Calculate i.\nAnswer: -1, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -33*f**5 + 192*f**4 + 96*f**3 - 354*f**2 - 63*f + 162 = 0.\nAnswer: -1, 9\/11, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4044*z**3 + 558 - 279 + 11004*z**3 - 279.\nAnswer: 6960*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12251 <= 12251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*d**2 + 34*d**2 + 32*d**2 + 30*d**2 + 33*d**2 - 147*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1083*h**3 + 1418958*h**2 - 11595636*h + 23764104.\nAnswer: -3*(h - 1302)*(19*h - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11620272.\nAnswer: 2, 3, 109, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.44 - -0.36. Let u = -0.245 + 2.445. Let y = u + x. Sort 0.4, 1, y in descending order.\nAnswer: y, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*f + 2 - 5*f + 2*f)*(-343890 + 163915 + 166486) to the form d + v*f and give v.\nAnswer: 13489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of -h**3\/3 + 18929. Let q(x) be the third derivative of x**4\/3 - x**3 + 2*x**2. Give q(z(g)).\nAnswer: -8*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3175, 6354, 9533, 12712, 15891, 19070?\nAnswer: 22249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l + 8. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*g - 0*g - u, 3*u + 3 = g. Solve g = t - 2*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.36 + -4.24. Let x = h - -5. What is the smallest value in 4, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -4, -2, 10 in increasing order.\nAnswer: -4, -2, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2290283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 40\/8)*(133 + -59)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -74. Let o = 14 + h. Let p = -16.00000124 - o. What is p rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p\/(p**(-1\/70)*p))\/p)*p\/((p\/(p**6\/p*p))\/p))\/((p*p**13)\/(p\/(p*p**34*p*p))) assuming p is positive.\nAnswer: p**(-2871\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 74*((-11)\/(-9) - 36\/162). Let y = g - 56. What is the highest common factor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 39\/(-39)*(-22 + 2 + -2). Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -2\/3, -5, -1, 1560\/73?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 20749 = -0*x + 2*x, 2*b - 41504 = -2*x. Suppose 0 = 4*n + 3*n + b. Let a = -1746 - n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -eb (base 15) in base 10?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**5\/120 + d**4\/48 + 15*d**2. Solve h(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -1 + (6 + -6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 8.64.\nAnswer: -34.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*d = -4*d + 53, 0 = 5*m + 5*d + 35. Let v = m + 12. Does 17 divide 7*(4 - (-2)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43999661, 43999654, 43999641, 43999622, 43999597, 43999566, 43999529?\nAnswer: 43999486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 + 0.35. Let n be (45\/(-12) + 3)*33. Let h = n - -25. Sort -1, h, t.\nAnswer: -1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 - -36. Let p be v\/9*-6*(-3)\/6. Let j be (-2 - (-76)\/3)*(p - 4). Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**2\/7 + 1102724*w + 1064000192654 = 0. Calculate w.\nAnswer: -1929767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + k + 13 = z, 2*z = 4*k - 2. Solve 31 - 13 = -z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 169888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27 in 15, 0.3, -3\/2, -1\/4, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -35 - 27. Suppose 240 - 660 = -12*r. Let q = s + r. Solve 22 - 2 = -q*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o + 2. Let h = 14 - 11. Suppose 0 = -z - d - 5, -h*d = -3*z + 1 + 2. Let b be q(z). Solve b = 4*p - 8 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (62\/(-12))\/(28\/21) - -4. Let n be (10\/15)\/(32\/(-48)). Let k = -3.93 - 0.07. What is the closest to n in k, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 5) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(-1\/25)*k*k))\/k**(-12))**22 assuming k is positive.\nAnswer: k**(6072\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1546.4*15\nAnswer: -23196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 265228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 91705719?\nAnswer: 4\/91705719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b*f**2*r*z - 3*b*f**2*z - 9*b*f - b*r*z - 2*b*z - 2*f**2*z - 7*f*r wrt r?\nAnswer: b*f**2*z - b*z - 7*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/3220 and -141\/2361640.\nAnswer: 16531480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3686563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*f + 25*f + 15. Suppose f = -a + 38. Calculate the highest common divisor of 70 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 4*n - 3. Suppose 2*f = 4*p - 10, 2*f + 4 + 6 = -5*p. Let y be (1 - (p - 0))*-1. Let v be d(y). Let o(c) = -c**2 + c. Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 65 - 64 - 7*u**3 - 3*u**3 to i + j*u**2 + b*u**3 + p*u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5*y = -293 - 196, -138 = -c + 4*y. Suppose -5*t = -4*b - 13 - 27, 0 = 2*t + 5*b + 17. Suppose -t*n = 2*n - c. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 53453?\nAnswer: -53454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 5*u = 403, 5*f - 1683 - 309 = -2*u. Let d = f + -149. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -6*p - 68. Let l be j(-12). Suppose -2*f + 44 = l*z, 0*f + 66 = 3*f + z. Which is smaller: f or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 8*l - 169. Determine r(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -110 + -243. Let x = a + 760. Is 55 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 66\/(-24)) + 5\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38 - 25) + -24 + 16 + 148 + (0 - 0)?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15873, 40565, 65255, 89943, 114629, 139313, 163995?\nAnswer: 188675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, v: 4, z: 2, q: 2}. Give prob of picking 2 q and 2 z.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -379219, -758434, -1137649?\nAnswer: -1516864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -5*m - 4*g + 41, -4*m + 2*g = -34. Calculate the smallest common multiple of 3 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12.9 - 13.1. What is the third smallest value in p, 1\/8, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -4756*j + 4707. Is u(-92) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2300 times 0.2\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 6. Let j = 2.4 - 0.4. Put j, -1, v in descending order.\nAnswer: j, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80 + 5*n + 59 + 57.\nAnswer: 5*n + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1242\/(-184) + (-16)\/(-56) + 94\/14. Suppose -j*u**2 + 0 + 1\/4*u + 1\/4*u**4 - 1\/4*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -172*k - 9. Let d(p) = -19435*p - 1014. Let u(s) = 3*d(s) - 338*z(s). Let r(a) = 4*a**2. What is r(u(i))?\nAnswer: 114244*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.132 + -3.868. Let s = -0.2 - -0.7. Let z be 1*5 + (-45)\/(5670\/612). Put g, s, z, -1\/4 in ascending order.\nAnswer: g, -1\/4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 2*a**2 + 2*a)*(-90*a - a**2 + 90*a)*(53 - 53 + 6*a).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(325))**2 + 0 + (-3*(sqrt(156) - ((-2*sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156))))\/(sqrt(12) + -2*sqrt(12)*2 + sqrt(12)).\nAnswer: -975 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 + 2*p + 18. Calculate s(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -7 + 2. Let a be (-1838)\/(-3) - (3 + 21\/(-9)). Suppose -o - w*o + a = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.4 - -4. Let q be 8\/(-10) + (-3)\/15. Suppose -s - 4*h = -10 + 2, 4*s - 2*h + 22 = 0. Sort f, s, q.\nAnswer: s, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 less than -317.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -171527, -343053, -514579, -686105, -857631?\nAnswer: -1029157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 9:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 29352571 + 1.23?\nAnswer: 29352572.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-370607.\nAnswer: 185303.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3 - 16 + 4*p + 5 + 2. Let r(n) = n - 3 - 4 + 6. Give -j(h) + 3*r(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4  (b) 5  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*k - 298*k + 47922 = 155*k + 610*k for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1094 divided by 5.\nAnswer: -1094\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2520 and 213449880?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 4*g + 112. Let n be (-2)\/g*(-88)\/11. Put 2\/3, n, 5 in descending order.\nAnswer: 5, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/((7\/7)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 8846*t**3 + 9*t - 5. Let m(h) = -17691*h**3 + h**2 - 20*h + 10. Let y(b) = 2*m(b) + 5*p(b). Let l be y(1). Round l to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -37*y**3 - 52*y**2 + 3*y + 3. Let f(h) = 35*h**3 + 52*h**2 - 2*h - 2. Let u(s) = 3*f(s) + 2*q(s). Find the third derivative of u(d) wrt d.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2305781?\nAnswer: 2305781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -w**4\/2 - w**3\/6 - w. What is the second derivative of y(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 339 = 5*d + x, -3*x + 9 = 0. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 527, 763, 1001, 1241?\n\"Answer: g**2 + 233*g + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1430421444 - 2?\nAnswer: -1430421450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 546 + -312. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**35)\/y**(-3\/16))**(2\/39) assuming y is positive.\nAnswer: y**(-541\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/3, -0.2, 53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**4 + 115*p**3 - 380*p**2 = 0. Calculate p.\nAnswer: 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39897138?\nAnswer: 2, 3, 521, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 9*l = -205. Suppose 4*w = 20, -4*w - 50 = -8*a + 3*a. What is the remainder when l is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**3 + 2 - 12*a**2 + 0*a**3 + 5*a**4 - 8*a**4 + a**4 to the form j*a**2 + q*a**3 + z + f*a**4 + c*a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from ibbibbbibb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-2 + 4 + sqrt(68) - ((sqrt(68) - (sqrt(68) + sqrt(68)*-1*-3) - sqrt(68)) + sqrt(68) - sqrt(68))**2) + 6*-1*sqrt(68) + 0.\nAnswer: -1084 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -218.05982 - -218.38. Let d = -20.68 + 21. Let s = g - d. Round s to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -17*z**6\/6 - 19*z**2\/2 - 16. What is the second derivative of i(y) wrt y?\nAnswer: -340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5784 is divided by 2845.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**22*k*k)\/(k*k**(-1)))**(-29) assuming k is positive.\nAnswer: k**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 283 = 58. Let k = -64 - r. Suppose 2*b = 237 + k. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 401*h - 400*h. Solve -5*n - 5*x = 0, n - h = -5*x - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j + 12. Suppose -z - 3 = 2*z. Let r be (z - -2)\/((-3)\/15). Let u be d(r). Solve -o + u*g = -3*o + 18, 0 = -o - 2*g + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 + -4115420?\nAnswer: -4115433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 8*v**3 + 6. Suppose -3*q = -4*s - 56, -q = -0*q + 3*s - 10. Let x(i) = -q*i + 16*i - 2 + 1 - i**3. Determine -g(l) - 6*x(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -634.043 times 59\nAnswer: -37408.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 35 + 30*c**2 + 12*c**2 - 107 - 12*c**2 - 13*c**2 in the form y + i*c**2 + a*c and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/5)\/((-3)\/30). Let l = 0.1 - -0.4. Which is the smallest value?  (a) l  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-46 - -44)\/(1\/(-3)*-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1049, 2056, 3063, 4070, 5077, 6084?\nAnswer: 7091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 13198.1735 to the nearest one hundred.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9445287 years to decades.\nAnswer: 0.09445287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28.89 - -29. Let c = 15961\/3 - 31919\/6. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2336 - 2338. Let h(j) = -8*j + 1. Let k(o) = -7*o + 2. Calculate u*k(y) + 3*h(y).\nAnswer: -10*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 1:15 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1\/5, 0, -3, 0.93, 2\/5 in increasing order.\nAnswer: -10, -3, 0, 1\/5, 2\/5, 0.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 19\/4, -2\/7, 2.41 in descending order.\nAnswer: 19\/4, 2.41, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -16, 250, 520, 794, 1072, 1354?\n\"Answer: 2*h**2 + 260*h - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 2*k - 5. Let o(q) = -3*q**2 + 6*q - 14. What is 6*o(t) - 17*p(t)?\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2222 (base 3) to base 4.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 + -61.5. Let d = -44 + t. Which is the nearest to 1?  (a) d  (b) -2\/9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 33, -4, 0.1389, -3\/5, 5, 0.009?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-4))\/(-3) - -71. Let l = -1076 - -10759\/10. Calculate the common denominator of (-1 - (-316)\/c) + -3 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 + -46 + -6 + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*q + 5*q + 5*q - 4 - 5 with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -75.8 + 76. What is the smallest value in -2\/5, b, 4.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**3 - 12 + 24 - 13 + 1.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 + -1 - (-10 - 24 - -37)) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2 - 1159*d**3 + 1 - 641*d**2 + 1156*d**3 + 3 as b*d**2 + x*d**3 + n*d + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 53437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -524 - -753. Let w = 7325\/32 - z. Is w at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -32*k - 1368. Calculate c(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 0.3, -3\/2, 78?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m. Let s(l) = -193*l**2. What is s(v(i))?\nAnswer: -1737*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 110000 (base 2) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 9*f + 98 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(108))**2 + sqrt(108) - sqrt(3)) + (1 + sqrt(147))**2 + (sqrt(21)\/((3*sqrt(70))\/sqrt(10)))**2 + -1.\nAnswer: 31*sqrt(3) + 769\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.276289 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + s + 5*c + 12, -4*c = 12. Suppose -2*u - s = -3*u. Solve 0 = -2*z + 4*i - 2, 5*z - 1 - 1 = u*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*v**3 + 39*v**3 - 20*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by -281?\nAnswer: -19\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4.473336 and -187596.\nAnswer: -187600.473336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2. Let v(d) = -2048*d + 15. Determine x(v(z)).\nAnswer: -4194304*z**2 + 61440*z - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 3.9. What is the smallest value in -2\/3, c, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 64.39317 to one dp.\nAnswer: 64.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12333, -12338, -12345, -12354, -12365, -12378, -12393?\n\"Answer: -k**2 - 2*k - 12330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.00724 and -1.3?\nAnswer: -0.009412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*w - 24 + 89. Let r = 105 - 73. Calculate the lowest common multiple of w and r.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(80)*2)*3 + 1)**2.\nAnswer: 480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lz when two letters picked without replacement from lllluluzzbuull?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4392 - 4249. Is d at least as big as 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) -11  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(128) + sqrt(128) + 1)**2 - (-6*sqrt(128)*1)**2) + 0.\nAnswer: -4071 + 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i = 29*i - 178 - 526 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 12 - 12 + 3*u**2. Let r(d) be the first derivative of -5*d**3\/3 - 961. Determine r(w(a)).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -12637157.\nAnswer: 4\/12637157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - o - 3, 3*r - 16 = -o - 5. Suppose w - r*w + p + 32 = 0, 0 = 3*p - 6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/7  (b) -0.09  (c) -5  (d) -105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1209 - -956. What are the prime factors of m?\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -251 + 256. Let p = 9 - 12. Which is the second smallest value?  (a) 0.2  (b) p  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7000\/1500*2\/(-2)*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-26))\/(320\/(-1040))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64036 = 2060*s + 227*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-30))\/(59\/(-531)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*b*l**2 + 10380*b*l + 255*b - 434502736*l**2 wrt b.\nAnswer: 6*l**2 + 10380*l + 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -20*z + 16*z. Let j(y) = -11*y - 2. Let m be j(-2). Suppose 3*t = z*t - m. Solve -2*p + 9 = -3*q, -6*q - 18 = -t*p - 3*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0011 - -0.2011. Let m = -8 + 3. Let r = -3 - m. What is the third biggest value in -3, r, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -16*b + 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 47 = -5*f - 4*z, -5*z = f - 1. Solve x - 9 = -2*q, -3*q - x + 1 = -f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 710 by 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.51 + -5. Let k = r - 0.61. Let w = 0.7 - 1.7. Is k >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -55*h**3 + 2*h**2 + h - 2. Let r be x(1). Let o be 2\/7 - r\/7. Suppose -o + 36 = 7*d. Solve 6*w = d*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 31. Suppose 4*s - 7 = d. Which is the third smallest value?  (a) s  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 11*y**3 - 2*y - 2*y - 4*y + 9*y. Give r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -398 in 8, -1\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35\/318 - -3\/53. Which is the closest to -4\/41?  (a) -2\/11  (b) 1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48 - 20. Solve y - v + 9 = 0, -3*y + y - q = -4*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -82 - -13. Let q = u + -75. Let m = q + 144.067. Round m to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 35523 + 22?\nAnswer: 35545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g**2 + 4*g - 1. Suppose 0*w - w + 44 = 5*n, 24 = 3*n + 3*w. Suppose -n = s + 2*s. Give h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2971\/5 - 593. Find y, given that 3\/5*y**5 + 0*y**2 + s*y**3 - 1\/5*y + 8\/5*y**4 + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 489 = 98. What is the hundreds digit of j\/4 - (-8)\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/((-1105)\/26))\/((-5)\/((-100)\/(-3)))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 6*z**2 + 4*z + 5. Let t be o(5). Suppose -5*j + 7 - 2 = t. Let q be (-3)\/4*(-1)\/3. Which is the closest to q?  (a) j  (b) -2\/9  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -190 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/2*(153 + 3). Let y = n + -142. What is y rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 + 15 = -73*u + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*k**2 - 53*k**2 + 102*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -0.004\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 12*r**2 - 45*r + 172. Let p(i) = 17*i**2 - 65*i + 259. Determine 7*a(w) - 5*p(w).\nAnswer: -w**2 + 10*w - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vveevlecev.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mfcmmmcmcmycyacyffm. What is prob of sequence mmc?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 34 = j - 4*j, -3*i + 3*j = -24. Are i and 10 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v + 13. Let d be z(8). Let r be -1 - d\/((-6)\/(-2)). Let i = 1 - 0.9. Which is the third smallest value?  (a) r  (b) i  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5*s = 390, -28 = -l + 2*s + 113. Let f = 198 - 293. Let y = l + f. What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1\/77  (b) 3  (c) 1\/2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47 - 41. Let u(k) = 5*k - 26. Let f be u(h). Suppose -f*m - b + 76 = 0, 0 = m - 6*b + 2*b - 2. What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*932.3\nAnswer: -2796.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x + 6. Let w(u) = -6*u + u + 4 + 1 + 3*u. Calculate 4*o(g) - 5*w(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 12:49 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 245796 + -36956630?\nAnswer: -36710834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 3*y + 900. Let a(g) = -g**3 + 4*g**2 + 6*g + 2. Let b be a(6). Let j = y + b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-26 + 26 - 3*q)*(2 - 6*q - 2)*(0 - 5 + 6 + 9) to p + x*q**2 + k*q and give x.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 363087051 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140) + -1*sqrt(140) + sqrt(140))*-4)\/(sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(21)\/sqrt(3)*-4) + sqrt(7) + sqrt(7)).\nAnswer: -8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = o + 5*w + 15, 0 = 4*o - 5*w + w - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/30)\/(1*3\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -361920 or -361932?\nAnswer: -361920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**3 + 3*k**2 - 2*k - 4. Let l be x(-3). Let t be l\/(-9) - (-8)\/36. Solve -t*g + 6 = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -55*h - 1897. Give n(-43).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of -3*m**5\/4 + m**3\/6 + m**2 - 36*m. Calculate the smallest common multiple of w(-1) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i - 9 - 4*i**2 + 7 + 0*i**2. Let b = -35 - -58. Suppose -b = m + 4*k, 0*m = 5*m - k + 10. Let d(y) = 5*y**2 - 3*y + 2. Determine m*g(h) - 2*d(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*m + 24*m + 16*m - 160. Solve 5*l - 7 = 3*g + 6, g = l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 at most 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1360016 (base 7) to base 10.\nAnswer: 182489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*x + 5 = 3*x, 3*x = 9. Suppose 0 = z*j + 3 + 1. What is the closest to -0.1 in j, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9615 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.096 + -6.196. Let u = i - -6. Suppose -3*o + 6*o = 9. Which is the third smallest value?  (a) o  (b) u  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60367432 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 3*d + 32. Suppose 2*c - 5*i = -i + 2556, 5*i = d*c - 5127. Is 46 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 337*a - 10164736 - 12765081. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 43, 149, 361, 715, 1247, 1993?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 1)*(-3 + 3 - 2*b) + b - 2 + 2 + (6 - 3 - 2)*(1 - b - 1) + (-2 + 4 + 0)*(1 - 2*b - 1) - b + b - 3*b in the form x*b + l and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -0.1  (c) -2\/11  (d) -3  (e) 0.4  (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -93, -175, -257, -339, -421, -503?\n\"Answer: -82*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w**3 + 2*w**5 - 4*w**3 + (2*w**3 - w**3 + 0*w**3)*(-3 + 3 + 3*w**2)*(-2 + 2 - 3).\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - 1 - (3 + -3). Suppose -2*x = 3*i + p*x - 31, 0 = -2*i + 5*x - 21. Let k = i - 0. Calculate the highest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -438086 + 438085.199924. Let r = 4 + -4.8. Let k = r - d. What is k rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 16 = 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i**2 - i. Let y be z(1). Let d = -152 + 203. Is (3 - d\/y)*2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/7 + (-52)\/14. Let j(u) = 3*u + 1. Let t be j(-4). Let b be 12\/(-30) + 351\/65. Put b, t, z in ascending order.\nAnswer: t, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*x - a - 8, x = 4*a - 16. Differentiate -x*f + 5 - 6*f**2 - 7 + 4*f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3.5, 0.2, -0.3, 1\/3, 5, -1160, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -40, 5 in increasing order.\nAnswer: -40, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 20*2\/15*48\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 19. Let m be 5 + 1\/((-1)\/f). Let o(c) = -26*c**3 + c**2 + c. Let w be o(-1). Solve -m = 4*p - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j = 16*j - 4. Solve 3 = -j*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.2 + -0.057.\nAnswer: 15.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) 0.5  (c) -1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 + 38.93. Let h = d - -0.06883. What is h rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x - 10 - 6 - x + 27 - 10.\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + (-12)\/(-6) + -1165002. Round a to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 9 = -3*j, -3 = -4*j + 3*w - 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 9*b. Let w(g) = 5933709*g. Calculate r(w(n)).\nAnswer: 53403381*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/7)\/((-7)\/147). Let z(u) = -3*u**2 - 3*u. Let s be z(-1). Let c be 0 - (1 + 1)*-1. Solve -4*y - r + 3*r - b = 0, s = -2*y + c*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 436*g = 37429 + 37563. Solve -199*s + g*s - 216 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*j + 6*j + 2*j)*(2 - 2 - 2*j**3 + 4*j**3 - j**3 - 5*j**3 + (5*j - 2*j - j)*(-j**2 - j**2 + j**2) + 4*j**3 + 2*j**3 - j**3).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 431949 is divided by 143928.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 13*w + 98 = 0. Let i(h) = -8*h + 112. Let v be i(w). Solve -t + 3*t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -377*z**4 - 97*z**3 - 10*z**2 - 2719*z - 59?\nAnswer: -4524*z**2 - 582*z - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (480\/27)\/8 - 2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39093 and 12246.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 17*d - 120 = 0. Let n(t) = t + 1. Let a(c) = -9 - 28*c - 12 - 3. Give d*n(l) + a(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -5, -6, -4, -2 in descending order.\nAnswer: 25, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7575 - -5?\nAnswer: -7570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 657 - 657. Let l(d) be the first derivative of -7\/2*d**4 + 0*d**3 - 6\/5*d**5 + 4*d**2 + 16 + i*d. Factor l(g).\nAnswer: -2*g*(g + 1)*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2718 + 2734. Do 17 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6444 a factor of 742844988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, s: 4, e: 3, b: 10}. What is prob of sequence sea?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -64 + 64.51. Let d = 0.21 - h. Let r = -0.0306 - -3.0306. Sort r, -1\/3, d, 2\/3 in decreasing order.\nAnswer: r, 2\/3, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 3 + 25*16\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-356)\/(-608) - 2151\/5736.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/12*s**2 + 1\/12*s + 1\/2.\nAnswer: -(s - 3)*(s + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/5)\/n**(-1\/2))\/((n\/n**(-2\/11))\/(n*n*n**(-4))) assuming n is positive.\nAnswer: n**(-251\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 - -7. Put 4, -1, b in increasing order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - 14*q**2 + 16*q + 13. Let f be v(-15). Which is the smallest value?  (a) -0.3  (b) f  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - (39 + -8)) + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 212 + -119. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f**2. Let j(z) = 474897*z. Determine b(j(o)).\nAnswer: -1353162963654*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**2 + 2608285 - 2608285.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 5:57 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1520229 - -39518571\/26. Let d = k + 284. Is -0.1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f + 3*f - f + 2*f. Let x(r) be the first derivative of 4*r**3\/3 - 4. Determine x(n(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9628174 and 244093.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 313236 is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -33769 divided by 1?\nAnswer: -33769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2651528 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from tlllttlttlttl?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 20 = -7*x. Let m = 30 - 30. Put 2, x, m in descending order.\nAnswer: 2, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-33 - -3)*8\/(-20). Let g be 10 - i - (1 - -1). Let s(r) = r**2 + 2*r - 5. Let p be s(g). Solve -p*y + 4*l = y, -3*l = 5*y - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 2\/15, -12\/11, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36 + -18 - -44) + -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4a8d - 1?\nAnswer: -4a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 276\/273 - 8\/52. Let y = 36 - 29. Let s be (-2)\/(-14) - (-6)\/y. Does j = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -624 - 619 - 765*o + 1243 in the form k*o + v and give k.\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of -w**5\/90 + w**4\/18 - w**3\/9 + 6*w**2. Factor a(p).\nAnswer: -2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 + 16 = 69*h - 519 + 74 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1211.7 and 3.\nAnswer: 1214.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5, -8*t = -3*u - 12*t + 37067. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/10, -1\/46, 28 in ascending order.\nAnswer: -1\/46, 11\/10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 3282 = -366. Calculate the greatest common divisor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -227165, -227163, -227161?\n\"Answer: 2*s - 227167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -6*x + 5. Suppose 0 = -4*c - 2*j + 6, 5*c - 7 = -0*j - 2*j. Calculate the remainder when x is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-12)\/10)*(-35)\/56\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sg when two letters picked without replacement from gggggggsggggg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 57578054, 230312214, 518202482, 921248858, 1439451342, 2072809934, 2821324634?\n\"Answer: 57578054*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*d - 14*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/82386 and -68\/1449.\nAnswer: 576702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66 - 1148*c**2 + 66.\nAnswer: -1148*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*d - 2*d. Suppose j - d*b + 7 = -0, 14 = 2*j + 4*b. Suppose 5*n = j*n + 78. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 - 181655*a**2 + 10370580*a.\nAnswer: -5*a*(a - 57)*(a + 36388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 13*d - 10)*(-d**3 + 4*d**3 + d - d**3).\nAnswer: 26*d**4 + 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 10. Let b = -3.02 - u. Let w = -0.0315 - b. What is w rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.02 - 0.32. Let f = 1.7 - k. Let y = -1 - -1.1. Do y and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 335*f + 2390 = 5070. Let u(q) = -q**3 + 3*q**2 + 4*q - 3. Calculate the remainder when u(-4) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5688928.\nAnswer: 2, 7, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12 - 5?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-33)*672\/(-1008).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 5208882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1235 and 351215.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 44\/3 in 0, 320, 5, 1.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-468)\/(-126)*(-2)\/(-6) and 38\/273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -397*b + 402*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -286090\/11 + 25978. Let v = -30 - x. Let c = -0.3636 + 0.0636. What is the second biggest value in -5, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4925004?\nAnswer: 2, 3, 7, 58631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 129.39624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*m - 991438 - 620850 = 31*m. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/((-30)\/(-4)*408\/(-510))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3691 - 1726. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1453 + 11.1453. Which is the nearest to -2?  (a) -3  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of 1\/120*d**6 + 0 + 23\/6*d**3 + 0*d**2 + 7*d - 1\/40*d**5 - 1\/4*d**4. Let i(m) be the second derivative of w(m). Factor i(n).\nAnswer: 3*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 - 24*k**3 - 189*k**2 - 594*k - 648.\nAnswer: -(k + 3)**2*(k + 6)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2287261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -2, -41, -20 in increasing order.\nAnswer: -41, -20, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 5660?\nAnswer: -22640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 + -36. Let w be 3\/2 - (-1)\/(-2). Let a(o) = -2*o**2 + o - 1. Let s be a(w). Is s at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001164217451 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -2603*d**5\/60 - 487*d**3\/6 - 280*d**2. Differentiate o(j) wrt j.\nAnswer: -5206*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 295 = 5*a, 5*f + 4*a - 182 = 198. Suppose 17*g + 12 - f = 0. Solve g*l + l = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = -23*z + 750107. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 2*j - 15, 2*w - 22 = 1801*j - 1797*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 129584 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/27)\/(z\/((z*z\/(z**(1\/6)\/z*z))\/z)*z*z))**(-50)\/(((z*z**(6\/11))\/(z*z**6))\/((z**(1\/4)*z*z)\/z*(z*z**(-1\/10))\/z*z)) assuming z is positive.\nAnswer: z**(666671\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 18. Suppose 2*m + 4*q - 268 + 56 = 0, 91 = m - q. Let l be ((-4)\/(-6))\/(16\/m) - 14. Sort -3, l, d, -4 in descending order.\nAnswer: d, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*t + 307*t**3 - 30*t - 42*t + 197*t**3.\nAnswer: 504*t**3 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/2*(-22)\/121?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y**3 - 126*y**2 + 150*y + 1420. Calculate x(-64).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 83 = -31. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiif when four letters picked without replacement from {i: 10, f: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxttx. What is prob of picking 3 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -b - 15. Let t = -3 - b. Let p(z) = t*z**2 - 2*z + z**2 + 2*z. Let i(y) = -3*y**2. Give i(p(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(2 - (-14)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/2  (b) -11052  (c) 47  (d) 0.4  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18432, -37137, -55844, -74553, -93264, -111977, -130692?\nAnswer: -149409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*((-16)\/(-12) + -2). Let q(f) = -9 + 54*f - 6 - 47*f - 15*f**m. Let c(b) = -8*b**2 + 4*b - 8. Let a(p) = 7*c(p) - 4*q(p). Differentiate a(s) wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + (-190)\/30)*6\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35 - 9 - 71 + 3*m**3)*(-4*m + 6*m - m) as h*m + y*m**4 + r*m**2 + v + o*m**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 10:35 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/3)\/5*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2211, 4425, 6639?\n\"Answer: 2214*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 17*v + 25. Let i be w(16). Which is the biggest value?  (a) 0  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4584952 divided by 2292476.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4531 (base 7) in base 16?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 150083 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 14*f**4 - 8*f**4 + 13*f**4)*(-1 + 1 - 2*f) - 3*f**5 - 31*f**5 - 49*f**5.\nAnswer: -121*f**5 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1076825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 16  (b) -0.03  (c) 4  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.40541 rounded to two decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 7*o**2 - 2. Let h(g) be the second derivative of -g**4\/4 + g**2\/2 + 158*g. Determine -5*h(n) - 2*j(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/5  (b) -2  (c) 1629554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1*(sqrt(468) + (sqrt(468) - (0 + (-4 + sqrt(468) - sqrt(468))) - sqrt(468)) + sqrt(468) - (-1 + 2 + sqrt(468)))*1)**2.\nAnswer: 36*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from immiiqmifi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5*j**2 - 5*j - 2. Let d be c(-3). Let b = d - -101. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38067 by -3.\nAnswer: 12689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 1286889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -904 + 884 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - 26*g**2 - 46*g - 151. Determine d(-21).\nAnswer: -1390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -7*s - 194. Let a be n(-28). What is the third smallest value in -1, 13, a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*n**2*t - 34*n**2 - 3*n*t - 299*n + 4246*t + 580 wrt n.\nAnswer: 4*n*t - 68*n - 3*t - 299","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 1795980.51 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62.22191 kilometers to centimeters.\nAnswer: 6222191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18129?\nAnswer: 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxhxhxxxxhxxxx.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-105)\/(-36))\/(17\/51)?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 14. Suppose -3*c + 12 + 75 = a. Suppose -j = -4*n + c, 3*n = 5*n + j - 7. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -60828 and -8392724.\nAnswer: -8453552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g - 52 + 52. Let s be k(-3). Factor 4*y**3 + 2*y**4 - 2*y**2 + s*y**4 - 4*y**4 - 3*y**4.\nAnswer: -2*y**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 + -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03563726 to five decimal places.\nAnswer: 0.03564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 4*g = -44, -2*i + i + 182590*g - 19 = 182589*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l\/(l\/l**(-11))*l)\/(l\/l**(4\/5))*l**7*l*(l\/(l\/l**(-11)))\/l)**(-7))**(1\/18) assuming l is positive.\nAnswer: l**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1405, 5666, 12775, 22732, 35537?\n\"Answer: 1424*h**2 - 11*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100969856 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 8 - 35526*d - 29.\nAnswer: -35526*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119 - 112 - 119 + 350 - 10090*v.\nAnswer: -10090*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 4, -8, -7\/6, 12, 250, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1935)\/(-9) - -1*(-3 + 2). Let k = 219 - h. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g - 6. Suppose 16*v = -2*b + 15*v - 3, -2*v - 6 = -4*b. Determine l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*p**5 + p**5 - 320*p + 315*p wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**5 - 30*d**4 + 18*d**3 + 204*d**2 + 249*d + 90 = 0.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 1:02 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 12. Let t(b) = -b**2 - b + 157. Let j be t(h). Let p = j - 98. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1603*g - 2092*g + 30807 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + -2 + sqrt(475)).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 2)*(2 - 2 + h) - 4*h + 3*h + 2*h - 4*h + 4*h - h - 1.\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**3 - 99*i**2 - 323*i - 25. Determine q(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*d, 2*d + 3*d = -3*q + 2979. Let g = 992 - q. Which is the third smallest value?  (a) g  (b) 2\/7  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-12*(-36)\/96)*9*5\/(-230)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 6*p - 2*p)*(-3*p + 5*p - p) - 11*p**2 - p**2 + p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -69360*i - 2150165. Calculate s(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + j = -44. Suppose 4*g - 62 = j. Let o(f) = 81*f + 582. Calculate the smallest common multiple of g and o(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/5)*g*g\/g**6)\/((g\/(g\/g**(1\/4)))\/g**4) assuming g is positive.\nAnswer: g**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**2 - 17*l + 19. What is t(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 679 = 3*i, 2*h + h + i = -1029. Let s = -340 - h. Solve -4*n + s = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 17 + 11\/2*r**2 + 89\/4*r + 1\/4*r**3 = 0.\nAnswer: -17, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.9286833 millennia?\nAnswer: 9.286833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 3*x + x**2)*(-1932*x + 1932*x - 3*x**3 + 2*x**2 - 5) + 211*x**3 - 211*x**3 - 26*x**5.\nAnswer: -29*x**5 + 2*x**4 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -1100212?\nAnswer: 1100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + -4 + sqrt(720) - sqrt(720))*6)**2 - sqrt(3200)\/sqrt(10)*5.\nAnswer: -3496*sqrt(5) + 26496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1918 smaller than -1919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 4 + -5 - (40 - (17 + -1 + 6))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - -4)\/(-4) - -3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 1923*i. Let p(w) = 11*w**2. What is p(o(z))?\nAnswer: 40677219*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2248\/20 - (-6)\/(-15). Suppose 0 = 4*o - 8*o + 184. Let w = o - 32. What is the greatest common divisor of w and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j*l**5 + 45*j*l - 1192*l**5 - 6*l**2 wrt l.\nAnswer: 60*j*l**2 - 71520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 629 - 673. Let i be (-3)\/((-11)\/(a\/(-24)))*10. Calculate the greatest common divisor of i and 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 3*a + 69, -5*a = z - 5*z + 88. Let s = -25 + z. Factor -s*h**2 - 3*h**2 + 5*h**2 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.02  (b) 5  (c) -0.2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.9 - 5.09. What is the second smallest value in -1\/5, -4\/3, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 3*j**3 + j**3 - j**3 - j**3 - j**3 + j**2 - j**2 + (-5 + 0 + 4)*(j**3 + j**3 - j**3) + 2478 + 45*j**3 - 2478.\nAnswer: 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i**2 + 3527*i - 19966 wrt i?\nAnswer: 6*i + 3527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1602988875 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 7*p**2 + 22*p + 11. Does 52 divide j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-780)\/(-35) - 0) + (-10)\/35. What is the greatest common divisor of 110 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(6 + (4 - 6) - 3). Let i(o) = -48*o**3 + 93. Let x(w) = w**3 + 1. Let c(b) = k*x(b) - i(b). Differentiate c(d) with respect to d.\nAnswer: 150*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9538 divided by -3?\nAnswer: -9538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -33.4831985 from 4.\nAnswer: 37.4831985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3046098 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -56a109a1a + -2?\nAnswer: -56a109a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 6. Let a(h) be the second derivative of -h**3\/6 - h**2 + 2*h. Let l be a(p). Solve -3*w = -l*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174905.\nAnswer: 5, 34981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*j + 1452 = -2190 - 1085 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 0*z**3 - 167*z - 253\/5*z**5 + 0*z**2 + 0*z**4 - 83. Differentiate l(s) with respect to s.\nAnswer: -1012*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**3 - 6*z**2 + 36. Let y(p) = p**2. Let q = -54 - -53. Let h(k) = q*t(k) - 6*y(k). Differentiate h(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -911 - 330a6?\nAnswer: -33a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s - 5. Let h = -1 - -6. Let q(u) = -2*u. Let w(a) = -a - 1. Let j(i) = q(i) - 6*w(i). Give h*j(b) + 6*l(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*d**2 + 3*d + 71555*d**3 - 71246*d**3 - 3*d - 14 wrt d?\nAnswer: 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 7*c**2 + 9*c - 1. Let u be n(-5). Let h(a) = a**3 - 5*a**2 + a + 1. Calculate h(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 0*b - 4 - b + 5*b**2 + b**3 - 2*b**3. Determine v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125.94 - 126. Which is the second smallest value?  (a) -2  (b) 1\/9  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 5  (c) 3\/5  (d) 7  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -328*k - 38*k - 24*k - 438 - 61*k wrt k?\nAnswer: -451","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-6) - (2 - -14 - (-782)\/(-102))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwmwmwmmmmmmwmmm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4139 divided by 3.\nAnswer: -4139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 + -0.07. Let m = -118 - -117.9. Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.7 - 0.7. Let i = 0.02 + 0.04. Let j = i - 4.06. What is the nearest to b in j, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7371)\/28)\/39 - (-1)\/(-4). Sort q, 2, -21 in ascending order.\nAnswer: -21, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96084 is divided by 134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2840992 divided by -176.\nAnswer: -16142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95718, 95690, 95662?\nAnswer: 95634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 1) + 20 + -25. Let b be m\/(-2)*(-15)\/(315\/(-14)). Solve 2*v - 4 + 0 = 2*s, -1 = -b*v + 3*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21.8 + 22.296. Let s = -0.496 + t. What is the third smallest value in -3, s, -0.03, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -41, -115, -239, -425?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 248870 to the nearest one thousand.\nAnswer: 249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 352\/5, -5, 0.2, -0.06, -4, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -4*v**2 - 3*v - 5. Let n(g) = -5*g**2 - 2*g - 7. What is 3*m(q) - 2*n(q)?\nAnswer: -2*q**2 - 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 356567*l = 356215*l - 704 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4508*l - 27123. Determine s(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -7073, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 367857922 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 164 = 5*a, 0 = 12*r - 14*r + 4. Suppose 4154 = g - a*g. Is g greater than -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 4*j**2 - 8*j + 3. Let c be m(3). Let x be (-3954)\/10 - ((-36)\/c - -2). Let n = -248 - x. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2735350 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0030656 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -287045, -574081, -861105, -1148117?\n\"Answer: 6*r**2 - 287054*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5611 and 724.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*c - 2*c - 4*c)*(c + 3*c - c) + 0*c**2 - 3*c**2 + c**2 + 32*c**2 + 14*c - 17*c - 12*c**2.\nAnswer: -24*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -5*q + 95, 1105*z - 49 = -q - 1114*z + 2222*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m + 10. Let r be (8 - (3 + 0))*1. Suppose -x = 4*h - 10, 0 = -r*x - 0*h + 5*h. Let g(f) = 2*f - 20. Let y(d) = x*g(d) + 5*l(d). Calculate y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4*g = -108 + 8, f - 52 = -4*g. Calculate the highest common divisor of f and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -3*o**3 + o**2 + 6*o + 8. What is s(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*d - 29 - 91 = 48 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3225\/5375*(0 - 20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5862.8 * 126.\nAnswer: -738712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 650768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -57 + 58. Let l be -10*v\/4*-2. Suppose -l*n - 51 = -6*n. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 325, 1058, 2105, 3466, 5141?\n\"Answer: 157*i**2 + 262*i - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = t - 10. Let j(d) = -d**3 + 7*d**2 + 8*d + 8. Does 4 divide j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y. Let g = 16 - 12. Suppose g*z - 265 = -5*l, -2*z + 3*z - l - 55 = 0. Let u(c) = 3*c + z - 10*c - 60. Calculate u(w(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*((r*r*((r**(1\/9)*r)\/r)\/r)\/r)\/r))**(2\/55)\/((r*r\/(r**(-4)*r)*r*r)\/(((r\/(r\/(r**(-3\/4)*r)))\/r)\/r)) assuming r is positive.\nAnswer: r**(-17261\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 7, j: 1}. Give prob of picking 2 d and 1 j.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -5 - -10) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-231 - 48 - -280)\/((-4)\/10 + (-57)\/(-130)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 2936439.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 + 31 - 5*h**2)*((1 - 4 + 2)*(5 + 19 + 28) + 2 + 2 - 7)*(-2 + 2 + 2*h**2).\nAnswer: 550*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2 + 34\/(-52). Let v be 8\/(-30)*(-15)\/9. Let w = 0.5 + -4.5. Which is the closest to -1?  (a) w  (b) v  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 144*p**2. Suppose -5*r = -5*y + 25, 3*y + r + 2 = 1. Let m be x(y). Suppose -m - 10 = -7*g. Calculate the least common multiple of 28 and g.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1945 = -5*v + 5*r, -r - 331 + 1486 = 3*v. Calculate the remainder when v is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, e: 4, z: 2, n: 1}. Give prob of picking 1 n and 2 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 - 37. Let g = 17 - 17.3. Let d = g - 4.7. What is the third biggest value in w, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l + l + 5*i - 7, 0 = l + 4*i - 6. Suppose -y - 8 = -l*y. Solve 0*h - y = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 296750, 593499, 890248, 1186997?\n\"Answer: 296749*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 2*i**2 - 8*i + 2. Let w be b(-4). Let p(q) = 6*q**2 + q**3 + 1 + 1 - 3 + 3*q + w*q. Determine p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -4*s - 2. Let y(q) = 16*q + 8. Determine -9*t(c) - 2*y(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 55008 divided by 573\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4*l = -9806, -5*k + 31398 = -5*l + 6868. Let h = 15195 - k. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4128224\/5 - 825616. Solve -f - 48\/5*v**3 + 16\/5*v + 108\/5*v**2 + 4\/5*v**4 = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -45, -36, -15, 24, 87?\n\"Answer: n**3 + 2*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2340062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand z - z + 4*z + (2*z - 1 + 1)*(32 - 4 - 70).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4*i - 12 = 0, -i + 12 = -4*b - 5*i. Let z be 3*2 + (-1 - b). Solve 4*y = -z*a - 32, 5 = -a + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -35, -191, -449, -809, -1271?\n\"Answer: -51*a**2 - 3*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**3 + 5*k**2 + 10*k. Let f(m) = m**3 + m**2 + m. Let t be 0 + 8\/2 - (-365)\/(-73). Let v(u) = t*j(u) + 3*f(u). Determine v(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-15\/4)\/q*q)\/q)\/(q\/q**(-2\/167))*q*q**(13\/3)\/q*q**(-1\/27) assuming q is positive.\nAnswer: q**(-8399\/18036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (-1 - (3 - -786)). Calculate the common denominator of (-2078)\/h + (-16)\/(-88) and -67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 444 = 469, 3*a + 2*h = -13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 338165 and 1767092.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -849 times -5.1?\nAnswer: 4329.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/5*w**3 + 4\/5 + 6\/5*w + 0*w**2 = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z = 6*z - 242. Solve 3*y + z = -2*y + 3*m, 4*m - 13 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*f - 25 + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + (6\/(-8) - 18\/72). Suppose 5*a + o = 805, o - 5 = m*o. Calculate the greatest common factor of 54 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 343504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 34714 and -0.35.\nAnswer: -12149.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 9178962333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 - (1386\/(-210) - 6\/15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -3*a - 78486. Is 1\/(16\/12 - a\/9813) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*d**4 + 14*d - 4*d - 3*d + 56*d**2 - 8*d - 61*d**2 wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -100, -216, -368, -550, -756, -980?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*g**5 + 8*g**5 - 2*g**5 + (-1 + 2*g**2 + 1)*(-3*g**3 + 3*g**3 + g**3) - 5*g**5 - 2*g + 2*g.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.427 + 0.327. Let c = -13.1 - o. What is the nearest to c in -1\/7, -2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -581 (base 9) in base 14?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 767 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u + 19. Give c(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3842 = 15*s - 482. Let z be 2\/(-7)*s\/8544. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -200 - -200.000866. What is f rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 4*c**2 - 2*c - 3. Let j be b(3). Which is bigger: j or -26?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 10. Let i = -611 - -616. Let x(d) = -9*d**3 + 5*d**2 + 1. Let s(w) = -5*w**3 + 3*w**2 + 1. Give i*s(p) + t*x(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56 + -44 - (13 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 70.871 * 0.4.\nAnswer: 28.3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 467830 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u. Suppose -4*o + 13 + 3 = 0, 0 = 3*i + 4*o + 2. Let m(l) = -8*l. Let f = -1 - -2. Calculate f*m(v) + i*b(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 621*a**3 + 16*a**2 - 180*a**2 - 258*a**2 - 256*a**2 wrt a?\nAnswer: 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10532*a**2 + 3*a + 135607?\nAnswer: 21064*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 3 + 5)*(-2 + 1 - 2)*(-18*c - 1623 + 1623) to the form i + s*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from sssssoososo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 703 divide 2720512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**4 - 696*y**3 + 19607*y**2 - 176808*y + 480240 = 0?\nAnswer: 5, 12, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**5\/3 - 25*b**4\/3 - 143*b**3\/3 + 169*b**2\/3 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((18\/32)\/1)\/((526476\/5840)\/(-601))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 6:03 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b**3 + 10*b**2 + 134*b + 27. Determine z(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (226*t**3 + 39 + 124 + 174 - 230*t**3)*(5 - t - 5).\nAnswer: 4*t**4 - 337*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/608 and 163\/49608.\nAnswer: 3770208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*h - 4*h + 64*h**3 - 6*h - 2*h as u*h + o*h**3 + d*h**2 + y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b = 6 + 50 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 10. Let h(i) = -3*i**2 - i + 1. Let j be h(1). Let l(a) = a + 9. Let u(k) = j*l(k) - 2*y(k). What is the derivative of u(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.7 - 1.5. Let v be 1\/(-3) + (-14)\/(-6). Let s be (-1 - -3)*v\/6. Sort i, 0.1, s in decreasing order.\nAnswer: s, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) 2  (c) -30  (d) 0  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16212194 - -3?\nAnswer: -16212191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 11 = -32*h + 85 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 2 r, and 1 a when four letters picked without replacement from {a: 5, y: 1, t: 2, n: 1, r: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 - -5.14778.\nAnswer: -8.85222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1178*z**3 + 44*z**3 - 331*z**3.\nAnswer: -1465*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 = -11. Let g be ((-18)\/5)\/((-24)\/160). Let s = g - n. What is the smallest common multiple of s and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -7*n + 62. Determine q(15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.62590711 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4828)\/(-6)*33285\/14 + 1. Suppose -5*p - 3826244 = 2*s, -s + 4*p - l = -0*s. Let d = 713112 + s. What is d rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -5*y - 102. Let q be t(-21). Suppose -5*j = -2*z + 10, q*j + j = 0. Which is the second biggest value?  (a) -0.05  (b) 1\/3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -3*a + 20, -3*n + 16 = -5*n + 5*a. Let d(m) = -12*m + 10 + 0*m - 8 + 4*m + 3*m. Calculate d(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126628973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34\/3 + -11. Are 17 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2517*p - 5024*p + 95 = -2511*p + 3*l, -3*l = 5*p - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -c, -c = -2*z - 3*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10960?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bcbcbbbccccbbc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -366, -368, -370, -372, -374, -376?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 41080, 82162, 123246, 164332, 205420?\n\"Answer: g**2 + 41079*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 37355331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26751311.1s to days.\nAnswer: 309.62165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -9. Let r(b) = -b**3 - b - 1. Let x(k) = 5*k**3 + 2*k + 20. Let n(j) = o*r(j) - x(j). What is the derivative of n(v) wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 0) + 10 + 21 + -50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2776 and 1281818?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24766586?\nAnswer: 2, 13, 17, 137, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (6\/(1 + -2) + (399 - 379)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9062668, -9062667, -9062666, -9062665?\nAnswer: -9062664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 170340669.\nAnswer: 340681338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4. Let j(b) = -b + 8. Let k(i) = 5*a(i) - 2*j(i). Let c be k(-5). Let p be (-43)\/(-2) + 3\/c. Solve -5*y - 1 = -p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*d + 58*d + 988*d + 476*d - 3.\nAnswer: 1489*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**5\/30 - 3*c**4\/4 + 2*c**2 - 26*c. Let k(o) = 0. What is o?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2299614, 2299625, 2299636, 2299647, 2299658?\n\"Answer: 11*q + 2299603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2200*d**3 + 2350*d**3 + 2353*d**3 - 8*d**2 - 5*d**2 - 6902*d**3 + 13*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (-77)\/(-11)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53103 - -126863069\/2389. Let t = 11937\/9556 + l. Suppose 0 = 5*a - 4 - 11. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 904245587.\nAnswer: 7, 19, 1021, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2562070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 11:36 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.8 + -2. Let q = i + 0.2. Let l = q + 1. What is the nearest to 0 in -2\/7, l, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2213*c - 107708 - 2942 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 9*h - 36. Determine z(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1707 + -4?\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5, 36, 95, 188, 321, 500, 731, 1020?\n\"Answer: x**3 + 8*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -55*o**6 + 35*o**4 - 2*o**3 - 2326*o**2.\nAnswer: -6600*o**3 + 840*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1146 in 0.2, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -30671, -30658, -30679, -30752, -30895?\n\"Answer: -3*p**3 + p**2 + 31*p - 30700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 5 = -4*o + 7, -o = -3*z - 3. Differentiate -4*j**2 + o*j**2 - 2*j**2 - 7 - 2 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**3 + 22*l**2 - 10453*l - 195. Determine u(67).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 7*b**2 - 8*b + 1. Let x be 24\/(-9)*(-9)\/6. What is the tens digit of t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10b (base 13) in base 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 241365 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d\/(((d\/(d*d\/(d*d**(-19)\/d)))\/d*d*d)\/d)))\/(d**(-2\/27)*d)*d**(-10\/3)\/(d*d*d**(-7\/4)*d*d) assuming d is positive.\nAnswer: d**(-2755\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1141, -1143, -1145, -1147?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 15 = 3*y + 5*n, 3*n = 0. Suppose 0*b - 10 = -y*b. Solve -m - 11 = -3*z, -4*z + b*m + 3*m + 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 5*q - 2*q)*(-3*q + 2*q + 2*q)*(99387*q - 99387*q + 436*q**3).\nAnswer: 872*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -243696?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30288*q**6 + 3*q**4 - 10*q**3 + 2234273*q**2 wrt q.\nAnswer: -3634560*q**3 + 72*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40 + -47)*(2 - 16\/14). Let s(d) = -4*d**2 - 6*d + 6. Let h be s(3). What is the lowest common multiple of (-70)\/r*h\/(-40) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8497.44859 - -8343.4486213. Let d = l - -154. What is d rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 498288, 498305, 498322, 498339?\n\"Answer: 17*c + 498271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29549, -98549, -213549, -374549, -581549?\nAnswer: -834549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1aa (base 16) in base 4?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 339959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26387, 3, 1, 7 in ascending order.\nAnswer: -26387, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-1) + 126\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 7. Suppose o - 7 + 4 = r. What is the lowest common multiple of o and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (450*r + 416*r - 7*r)*(-r**2 + 0*r**2 + 2*r**2).\nAnswer: 859*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 44893408 divided by 2?\nAnswer: 22446704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a - a**3 - 3 + 51*a**4 - 16*a**4 - a**3 - 10*a**4 to the form l + b*a + q*a**4 + g*a**2 + f*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-five eighths of a litre?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 20 = -4*q, 3*w + 134*q - 8 + 40 = 132*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52971, 105950, 158945, 211956, 264983, 318026?\nAnswer: 371085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6713.74071 - 7027.7467. Let c = o + 314. What is c rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1921)\/(-1190)*50 - 144\/(-112)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 6*c + 6*c**4 - 2 - 1 + 6*c**2 - 3 + c**4 - 3*c**3. Let w(m) = -20*m**4 + 9*m**3 - 17*m**2 - 17*m + 17. Let n(b) = 17*r(b) + 6*w(b). Factor n(j).\nAnswer: -j**3*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243729 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-9)\/(-6) - 1. Suppose d - 5*i - 20 = 0, 5*d + p*i + 2*i = -45. Let l = d + 37. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f + 57. Let q = -228 + 244. Let y be h(q). Solve -5*n - 6*v = -v + y, -5 = -2*n + v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1934878 divided by -122?\nAnswer: -967439\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*w + 4. Is w less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 3*n - n - 140, -5*x = 5*n + 160. What is the lowest common multiple of 6 and (4\/(-3))\/(x\/51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-17*(352\/55)\/16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1947*i + 4488 = -2151*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - (-26)\/14) + 556\/3892. Solve j = 4*l - 6*c + 8*c + 14, 2*l + 4*c = 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaii when four letters picked without replacement from fiifiiiiiaiafifiia?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 10*b - 8. Let h be u(9). Solve -2*r + h = -6*r - 3*c, -4*c = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 4*m + 4*m)*(-24 + 8 - 68).\nAnswer: -588*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3999*u**5 + 48019*u**4 + 958551427*u**2?\nAnswer: -239940*u**2 + 1152456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10561 divided by 621.\nAnswer: 10561\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303036 (base 8) to base 3.\nAnswer: 12001222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 51993599*j**3 + 46977625*j**2 wrt j.\nAnswer: 311961594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1474594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 45613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10989)\/(-139194) + (-9927)\/114?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -1 - (24 - 34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 93419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 17750232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 4, 0, 9\/130, -8, -2, -2\/59?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000323109 to seven dps.\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/59, 0.2, 35, 1\/2, -2, -1 in ascending order.\nAnswer: -2, -1, -4\/59, 0.2, 1\/2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 5)*(-h - 3 + 3) - 2*h + 0*h + 0*h + (-2*h + 3*h - 2*h)*(0 + 3 - 1) + 0*h + 3*h - 4*h + 3*h - h + 0*h + 0*h - 4*h + 5*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 + 17. Let a be (-1 + -2)\/(-1) - (c - 2). What is the highest common divisor of a and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40828107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 PM and 10:22 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -55687 - 1?\nAnswer: -55688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -g**5\/7 - 24*g**4\/7 + 51*g**3\/7 - 26*g**2\/7 = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 84, 395, 5 in decreasing order.\nAnswer: 395, 84, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -1. Let q be ((-19)\/w + 5)\/((-7)\/(-16)). Let r be (2\/(-6))\/(1*-1). What is the smallest value in 1, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1418697608?\nAnswer: 2, 177337201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, -45, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/20)\/((-1)\/40*-24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1742675?\nAnswer: 5, 11, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**33\/w*w\/(w**(-11\/3)\/w) assuming w is positive.\nAnswer: w**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*v = 12*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/159 in 4, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -74*(-285)\/14060*(-2)\/(-81)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 1\/18  (c) -1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6.839231 millennia?\nAnswer: 683.9231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence il when two letters picked without replacement from {l: 3, i: 2, w: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30\/19 or 392427?\nAnswer: 392427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3124 is divided by 2758?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30847?\nAnswer: 109, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16165 and 7930.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110010000110 + 10?\nAnswer: 110010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(3\/17)*r)**15\/(r\/(r*r**(-30))*r\/(r*r\/(r**17*r)*r)) assuming r is positive.\nAnswer: r**(-62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 615 is divided by 244.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5\/6, 1111, 27, 0.05 in ascending order.\nAnswer: -5, 0.05, 5\/6, 27, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-281214)\/(-4) - -2)\/6. Let x = 11727 - p. What is the common denominator of 67\/8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, -2, 0.1, -0.1, 3\/7, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 3*n = -118 + 123, 4*r - 4*n = 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40*a + 315 - 93 - 1419*a**2 + 2843*a**2 - 1426*a**2 - 28*a.\nAnswer: -2*(a - 3)*(a + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/7)\/((-9)\/63). Is 14 a factor of ((-57)\/d)\/((-5)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-32)\/(-10) - 1)*8350\/60. Let a = 5615\/18 - f. What is the common denominator of 429\/(-4)*(-4)\/(-18) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 2)*-1*7\/(-35)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.06 and 10354.00859.\nAnswer: 10353.94859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41514042?\nAnswer: 2, 3, 359, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(0 - 2*p + 4*p + 1).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1723383.27s?\nAnswer: 19.946565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**2 - q**2 - 10535*q**4 + 10701*q**4 - 3*q**3 + 3 + 5*q**3 to the form c + g*q + m*q**4 + u*q**3 + h*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(0 - -1) + 1. Suppose 0 = -4*m + 21 - 5. Suppose 2*j - x*c = -c + 2, 3*c + 6 = m*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**2 - 3. Let l(o) = -7*o**2 - 5. Let b(w) = -2*l(w) + 5*r(w). Let j(u) be the first derivative of b(u). Let g(s) = -8*s. Calculate g(j(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39077.\nAnswer: 23, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 200643 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/297 and 62\/693?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-0.515\nAnswer: 0.2575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*n - 10*n + 7*n + (-2*n + 2*n + n)*(-3 + 6 - 2))*((-1 + 8 + 2)*(1 - 1 - 1) + 0 + 1 - 2)*(-2 + 2 - 6) to s + d*n and give d.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g - 10. Let u = -8 - -8. What is w(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*y - 25, -3*x + 4*y + 0*y + 20 = 0. Let h = 1.94 + -1.04. Let k = -1.9 - -2. Which is the nearest to k?  (a) 1  (b) x  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17308 plus 539565?\nAnswer: 522257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -977 - -166. Let t = l - -1208. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 131145?  (a) 2\/9  (b) -2\/11  (c) 0  (d) 1  (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 3*i + 6. Factor -8*b - 4*b**i + 8*b + 3*b**2 + 1.\nAnswer: -(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*b**3*n**3 - 8*b**3*n + 5*b**3 + 4*n**5 wrt n.\nAnswer: -48*b**3*n + 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5796 minus -2250.417?\nAnswer: 8046.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4 + (sqrt(162) - -2*sqrt(162)))**2 - sqrt(162))*1.\nAnswer: 621*sqrt(2) + 4422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 149 and 6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**3 + 3*q**2 - 4. Let k(f) = -62*f + 8*f**2 - 41*f**3 + 62*f - 7 - 4 + 48*f**3. Calculate 11*j(a) - 4*k(a).\nAnswer: -6*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*r - 24. Let x be ((-5)\/4 - -2)*r\/3. Let y be 2\/(-8)*-2 - 312001\/x. Round y to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7303*u + u**2 + 7303*u - 1929 + 2027.\nAnswer: u**2 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 3:22 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r + 2*r + (-1 + 2*r + 1)*(0 - 2 + 0) + r + r - r - 10*r - r - 16*r)*(25 + 3*r - 25 + 10*r**3).\nAnswer: -280*r**4 - 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*j - 65*j - 178 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 638 is divided by 592.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 175819957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 996 = 3649. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -n**4 + 10559128*n**3 + 42236523*n**2 + 52795658*n + 21118264 = 0.\nAnswer: -2, -1, 10559132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*1*(1 + (sqrt(153) - ((sqrt(153) - (sqrt(153) - sqrt(153)*2)) + 1) - sqrt(153))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 8 = -5*p, 39*p - 3*q = 37*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17966 divided by 691?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 18 = -22. Let w be (16\/6)\/(3\/(-81)). Does 27 divide (w\/20)\/(u\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1898.01 * -76\nAnswer: -144248.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.83 take away 0.18976657245?\nAnswer: -29.01976657245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3874707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 4*d + 4 = 0, 0 = 3*l - 2*d + 2 + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -2\/12445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1623 + 1939. Put 3, -3, h in descending order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 14 + 1. Suppose c*z + 3 = 5*p, z + 3*z + 4 = 3*p. Solve -4*j + 3*j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a - 17. Let d be f(-16). Let q be (2 - 5)\/(-3)*(-11 - -2). What is the third biggest value in q, -5, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -21) + -15 + 2 + 13\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -95441250*f**3 - f + 9700420.\nAnswer: -572647500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 31160785 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w**2 - 25*w - 16. Let x be y(7). Sort 2\/3, 1104, x in decreasing order.\nAnswer: 1104, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 78 = -3*o, 5*o - 3*b - 27 = -65 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 24 = 4*c, 5*c + 5*p = p - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/8 - 4544\/(-896)) + 221\/(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/(-10)*(-16)\/(-2). Let s(m) = -m. Determine s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (-23 + 15 - -1 - (-9 + 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1972\/3 - -6631\/10. Calculate the common denominator of -55\/12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 4*i. Let t be d(-2). Suppose -5*l = -4*w - 10 - t, -3*l = -w - 14. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3 + (-6*(2*(1 + sqrt(833)))**2 - (((0 + sqrt(833))*-1)**2 - sqrt(833))*6) + 4).\nAnswer: 1176*sqrt(17) + 100028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3812, 3804, 3796?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36886 - -36885.999952197. Round p to seven dps.\nAnswer: -0.0000478","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 - 112*v**2 + 118*v + 253. Let k be b(-57). Let p(u) = u**3 + 10. Let d be p(0). What is the derivative of -1 - 5*a**3 + d*a + k - 10*a wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 9:16 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 0) + 13 + 20 + -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o - 6. Let s(m) = 6*m + 7. Let v(w) = 6*s(w) + 7*z(w). Let f(k) be the third derivative of -k**4\/8 + 7*k**3\/2 - 8*k**2 + 5. Determine v(f(x)).\nAnswer: -3*x + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -195 - -193.99. Let v = -165.84558 - -164.8355667. Let n = v - z. What is n 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 biggest value in -0.06, 1\/2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3423280 and 220?\nAnswer: 37656080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 123861 + 121934. Let w be ((-2)\/2 + -172)\/(11\/2013). Let y = m + w. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 + 8*x**2 - 3*x**2 - 4*x**2. Let l(j) be the first derivative of j**3 - 1. Give l(g(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8854 is divided by 444?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -30c01?\nAnswer: 30c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r - 691*n = -690*n + 148, -16 = 4*r - 5*n for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-265)\/318*(-2)\/(-5). What is the third smallest value in 14, i, 0.2, 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(-1 + 1 + 2) + (-2 - 1 + 1)*(-4 + 2 + 3) + 3 + 1 - 2)*(9*s + 64*s + 125*s).\nAnswer: -792*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - i = 12, n - 11 = -0*n + 3*i. Suppose 10*f = n*f - 5*w + 35, -w = 2*f - 10. Solve -2*z + f*z = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g - 56 + 14 + 79. Calculate j(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 969*h**3 + 4007*h**2\/2 - h - 2230. Find the second derivative of p(t) wrt t.\nAnswer: 5814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -v - 4*v - 27, a + 4*v = 20. Calculate the remainder when 42 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 705 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3842.18 - 0.0453.\nAnswer: 3842.1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001 (base 2) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l + 8*l - l**2 + l + 6. Determine y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2 - (-29)\/1*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 380693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, d: 1, c: 2, u: 1, i: 2, q: 2}. What is prob of sequence uii?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 3*z**4 + 6*z**2 + 8*z**2 - 9*z**3 - 3*z - 5*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-12))\/((-8)\/(-3)). Let d = 11\/16 - u. Which is the closest to -0.1?  (a) 1\/11  (b) 3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 5. Let z be ((-2)\/(-4) - 0)*p. Is 5*z + (-6)\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.2 + -10?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a + 2. Let p(i) = -i + 1. Let j(f) = -14*f + 12. Let m(l) = j(l) - 8*p(l). What is 3*m(s) - 5*t(s)?\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 576523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ckedkc. Give prob of picking 1 k and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -82, -363, -832, -1489?\n\"Answer: -94*a**2 + a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/17?  (a) -4\/5  (b) -0.2  (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*d - 3582 + 64*d**2 - 3558 + 7136 in the form c*d**2 + h*d + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 4. Let h be z(6). Suppose q + 4*q = 70. Suppose g = q - h. Calculate the lowest common multiple of 22 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4260544, -4260539, -4260534, -4260529, -4260524?\n\"Answer: 5*p - 4260549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w + 15. Let j be q(11). Suppose 2*n - 4 = -4*c, -3*c - n = 4*n + j. Determine d, given that 2\/5*d + 0*d**c + 0 - 2\/5*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(-2) - 4 - 2 - -2. Solve -5*v + 6 = o, 4*v + 7*o = s*o - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = r + 3*i, -5*r = 3*i - i - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 27*-1 + (-3 - 0)*-1. Let j be p\/(-16) - 42\/20. Let n = 0.3 - 0.2. Which is the smallest value?  (a) n  (b) -4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*x = 23*x + 156. Let p be -4 - (-580 + (8 - 4)). Calculate the highest common factor of p and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*d - b + 27, 532*b - 13 = -0*d - d + 529*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2750 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lokn when four letters picked without replacement from kkvobolvkvlkokoln.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-1083\nAnswer: -108.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -82383820*u. Let j(o) = 3*o. What is j(x(m))?\nAnswer: -247151460*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*t**5 + 51*t**4 + 18*t**3 - 60*t**2 - 24*t = 0. What is t?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1194804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is b3272 (base 14) in base 6?\nAnswer: 13124432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 v when four letters picked without replacement from {r: 2, m: 2, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, g: 2}. What is prob of sequence gy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3984614.\nAnswer: 2, 1992307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34315590?\nAnswer: 2, 3, 5, 227, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a + 9*a + 56 = 0. Let s be 20\/50*(1 - a\/6). Sort -1\/6, -5, 4, s in descending order.\nAnswer: 4, s, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -27 + -11c?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*x + 108 - 1761 = 2697 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -301, -351, -411, -475, -537, -591, -631?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 12*y - 10. Let g be j(-9). Let m = -261 - g. Let r = m + 2127. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.057519kg to grams.\nAnswer: 2057.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 2*n + 3*g + 29, g + 117 = -5*n. Which is smaller: n or -21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.179  (b) 2\/11  (c) 1\/2  (d) 20  (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -162525.063 to the nearest 100.\nAnswer: -162500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 57\/(-2)*-2*1. Suppose -3*q = 3*a - y, 21 = 2*a - 2*q - 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**3 + 3*y**2 - 2*y - 3. Suppose 0 = -3*d - d + 2*j - 18, 4*d + 53 = -5*j. Let n(x) = -5*x**3 + 7*x**2 - 4*x - 7. What is d*p(m) + 3*n(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 454117 + -454114. Factor 0 - 12\/5*c + 3\/5*c**4 - 3\/5*c**2 + 12\/5*c**o.\nAnswer: 3*c*(c - 1)*(c + 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 71\/214 - -1\/642. Let i(w) be the first derivative of l*w**3 + 1 + 3\/4*w**2 - w. Solve i(s) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**5*y**2 - 2559801*n**3*y**2 - 28*n**2*y + 6*y**2 + 22*y wrt n?\nAnswer: -120*n**2*y**2 - 15358806*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*i + 20*i + h = -13*i, 3*i + 2*h = 0. Which is smaller: i or 2\/307?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from uruuuururxquuu?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + 2. List the prime factors of (x\/(-5))\/((-9)\/570).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4925 + -4801. Solve -a*y + 127*y + 3 = 0, 4*i - 2*y = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 + 2*x**2 + x**2 - 1 - 5*x**2 to b + y*x**2 + k*x and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 - 4) + -10 + -27?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -5*f - d + 2*d, -3*f - 3*d = 0. Let q(z) = z**2 + 3*z - 4. What is q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*w - 13 + 6 + 5.\nAnswer: 138*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or -14\/79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 5:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3 + 2011788*l**2 + 16094496*l + 32189120.\nAnswer: -4*(l - 502955)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174455076?\nAnswer: 2, 3, 14537923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1145401 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7857 and 27?\nAnswer: 7857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3 + 4*v**2 - 2*v - v**2 - 2*v**2 + 4*v. Calculate the lowest common multiple of 9 and o(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i*i*i*i**1*i*i))**(-32))**21*(i*i*(i**1*i)\/i)**(3\/5)*(i**0)**(-43) assuming i is positive.\nAnswer: i**(13449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o**3 + 15*o**2 + 7*o - 56. Let w(v) = 4*v**3 - 14*v**2 - 5*v + 58. Let b(q) = 3*k(q) + 2*w(q). List the prime factors of b(17).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -35833 or -35829?\nAnswer: -35829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 36*x + 231. Let l(w) = 29*w + 232. Let j(s) = -6*l(s) + 5*y(s). Let a = 121 - 72. Calculate the remainder when a is divided by j(44).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 32488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - 14*r**2 - 13*r + 14. Is 44 a factor of h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/10 and -9\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 540 and 511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 514357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) -0.88  (c) 18  (d) -43.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299360 = -12*x + 47*x - 15*x. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (139*s + 197*s - 22*s)*(3 - s - 3 + 1 + s - 1 + s - s - 2*s + 4*s - 2*s + 0*s + (-2 + 1 + 0)*(-7*s + 4*s + 2*s) + 0 + 0 + 2*s).\nAnswer: 942*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 5257*u**4 + 64091*u + 2 - 32046*u - 32046*u in the form t*u**4 + f*u**3 + j*u**2 + s + b*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 71*h - 524. Determine b(-78).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32695 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1848709 and 1.\nAnswer: 1848709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 7:21 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109 divided by 113.\nAnswer: -109\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - 5\/((-5)\/(-2)). Let p(t) = -t**3 + 10 - t + 2*t**2 - 4 + 0*t**3. Let i(c) = 2*c**3 - 2*c**2 + c - 5. Let j(r) = 6*i(r) + 5*p(r). Give j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -115 + 363. Suppose -2*m + 5*x = 4*x - 499, -x = m - y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 49\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 682  (b) -2  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s*s**(2\/21))\/s)*s*s*s\/(s\/s**(-7)*s))\/((s**7\/s*s)\/(s**(-6)\/s)))**(20\/3) assuming s is positive.\nAnswer: s**(-8020\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -2404221.9 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 16*a + 336118 + 631682. Round a to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**5 - v**4 + v**3 + v**2 + 1. Let a(d) = 7*d**5 + d**4 - 3*d**3 - 5*d**2 - 5. Let y(b) = a(b) + 5*l(b). Factor y(c).\nAnswer: 2*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - i = 2*i - 27, 2*u - i = 1. Let f be 0*((-2)\/2)\/u. Suppose -6*a = -f*a - 24. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5443304 by 1360826.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 times 0.0795?\nAnswer: -0.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 7*f. Let c(j) = 27985*j - 13812*j - 13727*j. Give b(c(a)).\nAnswer: 3122*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 5:27 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 93767?\nAnswer: 93768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3422 (base 6) to base 14.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(-c**2 + 0*c**2 + 2*c**2) + (-5*c + 0*c + 4*c)*(-c - 2 + 2) - 3*c**2 - 7*c**2 + 4*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 48173889851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 7*a**2 - 6*a + 2. Let m be p(-6). Suppose -2*x = -m*n - 72, n = 2*x + 2*n - 84. Suppose 43*v - 642 = x*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-12))\/((-6)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1246924 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1494047619 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 11 + 12 - 158*n.\nAnswer: -158*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 4, 1543, -4, 2 in ascending order.\nAnswer: -5, -4, 2, 3, 4, 1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 327*r**2 - 2 + 2 - 318*r**2 - 5*r**4 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 17537795.\nAnswer: 4\/17537795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - -2*sqrt(833)) + -4)**2 + (((sqrt(833) - (sqrt(833) - (-1 + sqrt(833))))**2 - sqrt(833)) + sqrt(833))*-3.\nAnswer: -126*sqrt(17) + 5011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 571158900 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (16 - 13)) + 100\/15.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, o: 2, c: 11}. Give prob of sequence orcr.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5039 is divided by 188.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10975.9958832 - -10976. Round j to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01992927763 rounded to 5 decimal places?\nAnswer: 0.01993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + t**2 + 3*t + 2. Let u be l(-2). Let w be (15\/4)\/5*u. Suppose -n + 18 + 1 = 1. Calculate the greatest common factor of w and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 11  (b) -3  (c) 6\/37  (d) -24\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 0*h - 126 = 3*c, -3*h = -4*c - 69. Suppose 4*d + 10 = 3*d - 2*g, -g = -4*d - 31. Let q = -5 - d. Calculate the greatest common divisor of q and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 7 + 13. What is the second derivative of i**3 + y*i + i - i**3 + 2*i**3 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-126)\/4*(-32)\/24. Let q be 1 + (-189)\/(-3) + -1. Calculate the greatest common factor of f and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 503 + -502.999719. What is z rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-42)\/(-28)*(-1 + 3). Find o, given that 9\/2 - 3\/2*o**4 - 6*o**t + 6*o - 3*o**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 6 = -4*a. Let q(w) = 49*w**2 - 2*w - 1. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 1\/3, -10, 5, -312, 0.3, -1\/6, 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - 20. Suppose 2*j - 6 = 2*b, -2*b + 4*j + 0 = 12. Solve -o + 9 = i*q - b*q, 4*q = -5*o + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*j - 15*j - 10. Let q be 1\/3 + 87\/9. What is the greatest common factor of q and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1324531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 3439029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25969 - -3817427\/147. What is the common denominator of 21\/16 and b?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-68)\/(-12) - 5)*(1043 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 68759, 68752, 68757, 68780, 68827, 68904, 69017, 69172?\n\"Answer: u**3 - 14*u + 68772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 5350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1787812*b**3*l*m**2 + 21*b**3*m**2 - 17*b**3 - b**2*m**2 + 188*b*m**2 + 3*b + 15*l*m**2 - 4*m with respect to l.\nAnswer: -1787812*b**3*m**2 + 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of 2*v**3\/3 + v**2\/2 - 202*v. Let d(t) be the third derivative of -17*t**4\/24 - 2*t**3\/3 + t**2. Determine -2*d(a) - 9*h(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -425700 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 142040 and 1526?\nAnswer: 108376520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 983968?\nAnswer: 983968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 - 291*c**2 + 15024*c + 31220.\nAnswer: (c - 223)*(c - 70)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*i**2 + i + i**2 - i + 7*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*y = 0, -4*t + 0*y + 22 = 5*y. Let f(x) = -x**2 + 2*x + 2. Calculate f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4*i - 1. Let v = 58 + -59. Let u be d(v). Suppose 1 = 5*j + 6, -3*t - u*j = -741. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -142*d**2 + 8*d + 16. Let h(x) = 71*x**2 - 4*x - 8. Let o(k) = -4*a(k) - 7*h(k). What are the prime factors of o(-2)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/143 and 109\/88.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17.8 - -13. Let y = 5.06 + r. Let o = 3.26 - y. Sort o, 1\/3, -1\/9.\nAnswer: -1\/9, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 5 = 5. Let h*u**2 + 0 - 2\/3*u + 2\/3*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.1  (b) -1\/2  (c) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 13*h**2 - h - 612. Let y(l) = -45*l**2 + 4*l + 1837. Calculate -14*i(u) - 4*y(u).\nAnswer: -2*u**2 - 2*u + 1220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p - 5. Let s be l(8). Suppose s*c = -c + 32. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvojovsvvssojsavsak. What is prob of sequence ass?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57338 is divided by 7167.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130) + -3*(1*sqrt(130) + sqrt(130)) + sqrt(130) - sqrt(130) - sqrt(130))\/(-1*-1*sqrt(10)))**2 - (2 + (2*sqrt(39)*1)\/sqrt(3)).\nAnswer: -2*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -m**2\/2 - m + 2. Let d be r(-2). Let s be 3 + d\/(2\/(-9)). Which is the smallest value?  (a) 3  (b) 2\/9  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 301 and 60543.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19259 is divided by 1595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.01973 + 0.48027. What is the closest to 0 in 1\/12, m, -11, -3\/7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 13*p - 29. What is c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-10 + -26 - 6). Suppose -2*n + 0*n + y = 84, 0 = 3*n + y + 121. Let o = p + n. Solve -o + 3 = 2*z + 5*a, -3*z + 2*a - 11 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 - -12. Let a(b) = -b**2 - 6*b + 18. Let m be a(o). Find the second derivative of -6*h - 491 + 491 + 2*h**m - 3*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8760037?\nAnswer: 11, 13, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -5.24. Let l = 0.41 - g. Let r = l - -0.03. What is the second biggest value in 2, r, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 11*j - 6. What is b(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 2942 + 2906 = 0. Let h(f) = f**3. Let u(w) = -7*w**3. What is q*h(z) + u(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 63792 - 63792 - 5*q**3 - q.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1 - 0)*-1 - 1015\/42 and 51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 10*t**2 + 10*t - 3. Suppose 0*v + 5*v + 15 = 0, b = 2*v + 15. Let w be y(b). Let h be 2\/w + 5\/(-6). Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dnj when three letters picked without replacement from gddndjgdj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + 9. Let a be 186\/d + (-6)\/(-10). Solve -2 = 4*q - 3*b, -5*q = 2*b + 2*b - a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 - -96. Solve 0 = -z + 4, 5*q + 1 = -4*z + u*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 2 + 17. Let d be (-237)\/g - (0 - (-2)\/(-10)). Solve 4 = 2*b - 2, -2*j - 2*b = -d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*o - 5*z + 4, z = o + 1. Suppose 18*p - 54 = -o*p. Solve 0 = -v + 4*q + 1, -p*q - 7 + 4 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 75 + 4 + -14\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 12*x**2 + 24*x - 50. Let m be t(-14). Let p(u) = 5*u - 17. What is p(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 0.1, 1\/2039, 0.5, -3 in decreasing order.\nAnswer: 0.5, 0.3, 0.1, 1\/2039, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*h + 2895 + 777 = 0. Let v be -1 + (-12)\/(-3) + 477\/h. Which is greater: -2\/9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w - 21. Let r be y(8). What is the second biggest value in 2\/5, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 4. Suppose m*t = 4*t - 88. Calculate the remainder when 65 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 10:28 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -312032 - -30?\nAnswer: -312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 276 and 260958?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 5*q + 36, 5*q + 8196 - 8244 = -2*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 6, v + 2*y - 186 + 72 = 0. Suppose -4*w - w + v = 0. Suppose x = -0*x + 2*p + 10, 4*p = 3*x - w. Solve 5 = -9*k + x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 481  (b) 6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -221.62 + -0.38. Let n = s - -222.23. Round n to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2061404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 5:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rguuggguuuuggrg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2 + 0 + 20232*y**2 - 8*y - 5 - y - 20229*y**2. Let s(i) = i**2 - 4*i - 3. Give -7*s(j) + 3*u(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 35304.69 decades in years?\nAnswer: 353046.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y - 5*u = -7*y - 107, -3*u = -3*y + 267. What is the remainder when 143 is divided by y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or 31298?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (74\/((-61864)\/342))\/(2\/(-8)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 63, 5, -4 in increasing order.\nAnswer: -5, -4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 50214784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y + 5*y - 10*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/3, 2, 0.8, -59, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (152\/399)\/(6\/(12 + 6)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1 + -2*sqrt(68)\/sqrt(4))*5)**2.\nAnswer: 400*sqrt(17) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 341*r**2 + 161?\nAnswer: 682*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/18*-14 - (1 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2420 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2600)*3*-1)\/((sqrt(2) - sqrt(64)\/sqrt(2)) + sqrt(2) + ((sqrt(2) - (sqrt(2) + -2*sqrt(2)))*-6 + sqrt(2) - sqrt(2))).\nAnswer: 15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 - 61463381?\nAnswer: -61463373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + a - 4 = 0. Let c(d) = -d + 2*d + d + a - 5*d**2. Let l be c(-2). Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z - 17. Let j be i(-9). Let r = j + 13. Which is bigger: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 9:08 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 541?\nAnswer: 53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 10:50 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 1  (b) 1\/6  (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -143*o + 3208. Is u(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(6)*-3 + 1)**2.\nAnswer: -6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.010799015 rounded to 5 decimal places?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v + 0 - 2 + 0 + 6. Let x be i(-3). Let h = 35 + -24. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -3*n + 387, 2*t = 3*n - 3 - 388. Suppose 5*z = 5*l + n - 38, 66 = 4*z - 2*l. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**3\/23 - 39860*s**2\/23 - 79726*s\/23 - 39864\/23 = 0.\nAnswer: -1, 19932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2400913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-7)*(-35)\/975. Let s = g - -1769\/1365. What is the common denominator of s and -34\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80329480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.5  (b) 38  (c) 73578\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fwfw when four letters picked without replacement from {w: 5, f: 5, u: 1, c: 4}.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -123\/95 + 2279\/190. Suppose -5*k = -3*g + 2*g + 224, 2*g = -5*k + 493. Let s = g - 662\/3. Calculate the common denominator of s and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62)\/4650 - 90\/(-3625)?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -m + 5*g + 13, 2*m = -3*g - 19. Let n be (m\/10)\/((-1)\/58). Suppose -5*x + 19 = -5*a - 16, -5*a = -2*x + n. Is x not equal to 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6205, 5, 936, -1, -4 in ascending order.\nAnswer: -6205, -4, -1, 5, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 6*k - 16 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -209357 or -209332?\nAnswer: -209357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, q: 2, j: 8, b: 5}. Give prob of picking 2 t.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7\/2  (b) 1  (c) 29.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*d, -26*t + 28*t - 9 = -d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -162\/7 + 2\/7*p**3 + 18\/7*p**2 - 18\/7*p.\nAnswer: 2*(p - 3)*(p + 3)*(p + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 563 + -533. Which is bigger: 31 or s?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14*21\/448)\/((27\/(-30))\/(72\/(-120)))?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -6*p + 28 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 19 + (-10)\/(3 + -1). Calculate the common denominator of 97\/16 and (2\/u)\/(((-16)\/60)\/(-2)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 12*j - 1. Let q be w(0). Let c = -324 - -319. What is the nearest to q in c, -19, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/6187 or 1?\nAnswer: -6\/6187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 24253, 48562, 72933, 97366, 121861, 146418, 171037?\n\"Answer: 31*m**2 + 24216*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402 = -270*k + 268*k - 4*r, -2*k + 394 = 5*r. Let t be (10\/4)\/((-2)\/(-172)). Is t >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -68, -82, -130, -230, -400, -658, -1022?\n\"Answer: -3*f**3 + f**2 + 4*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14626 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*q + 4*j + 9, -5*j - 25 = 0. Suppose 0 = v + 3*t - 3 + 8, -q*v + 19 = -t. Suppose w = 3*w - v. Solve 5*g = -w*h - 25, -2 - 23 = 5*g - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29390 is divided by 1398.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -19\/384587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + u = -2*u + 11, 5*k = 3*u + 29. Suppose -2*c + 8 = 0, 4*r + k*c = 6*c. Suppose 0 = -s - r*s - 3*i + 3141, -3*s + 4*i = -3155. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + z + 1)*(-77*z - 6*z - 420*z).\nAnswer: -503*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108.37937 - 13653.\nAnswer: -13761.37937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 5)*((-9 + 5*j**3 + 9)*(j + 0*j + 0*j) - 13*j**4 - 4*j**4 - 9*j**4) + (4*j - 10*j - 4*j)*(-2*j**3 - 2*j + 2*j).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -6 + (0 - (-5 + -16 + 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 77449 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 281, 269, 249, 221?\n\"Answer: -4*u**2 + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1389 - 1218. Let w = 170.9 - t. Let h = 8 - 3. Which is the fourth biggest value?  (a) h  (b) w  (c) -3\/2  (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*9\/48)\/((2*-1)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -8, 3*s - 207 = -q - 83. Suppose 5*k - 22 = j - 211, 0 = -k - 4*j - 21. Let d = k + s. Solve r + d*r = 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 135846492?\nAnswer: -1\/22641082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5)*(256*r + 582*r + 63*r + 230*r).\nAnswer: -1131*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1733581?\nAnswer: 1733581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 88350369967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + 2 + 1 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - l + 153 = -3*y - 122, 0 = 3*y - 9*y + l - 575 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = -g + 4*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 - -57. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 3*w**2 + 5*w**2 - 10*w**2 + 0*w**2 to the form s + p*w**2 + q*w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*((3 - 3) + -1). Let y be m\/(3\/((-54)\/(-4))). What is the highest common divisor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2168 + 728*r**2 + 2168.\nAnswer: 728*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 9:32 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1048, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -400 divided by -8.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2151.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -10939 + 84648?\nAnswer: 73709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -0.22  (c) -237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 5, w: 4, d: 8, v: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 4 + 0 = 0. Let z = 151166 + -122897960\/813. Is c at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/6 + 3\/2. Let j be (-522)\/(-891) + (-12)\/33. Sort k, 0, j in decreasing order.\nAnswer: k, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 0*f**3 + 6028*f + 2*f**2 - 6025*f + 0*f**3 + 7. Let d(b) = -b**3 - b**2 - b - 1. What is -3*d(q) - p(q)?\nAnswer: 2*q**3 + q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17809 + -5029. Round h to the nearest one hundred.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (179 - 169 - 96)*(-378*y**2 - 2 + 4 + 358*y**2).\nAnswer: 1720*y**2 - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 172 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-75))\/((-1)\/(-2)*68\/2346).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from ipivipbpobipvbpxixi.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**2 - i**2)*(1 + 0 + 2)*(4668 - 4668 + 4*i)*(5*i**2 - 4*i**2 - 3*i**2).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 - 5\/(15\/6). Suppose 396 = t*o + 72. Is o\/2 + 3 + -3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*p + 132, -2*h - 2*h = 2*p - 152. List the prime factors of ((-114)\/(-18) - 5)\/(2\/h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173790 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 + 38176480*i + 72872181259520.\nAnswer: 5*(i + 3817648)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197292487?\nAnswer: 7, 173, 162917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4*2 + -8*16\/14\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*g + 24*g**2 - 24*g**2 + g**3 - 3*g**3.\nAnswer: -2*g**3 + 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*c + 16 = 0, -29 = -2*i - 2*i - 5*c. Sort i, -3, 0, -2, -4 in decreasing order.\nAnswer: i, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 476326, 952668, 1429008, 1905346, 2381682, 2858016?\nAnswer: 3334348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/3, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/35915 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -118, -5, 19, -1, 42, 1.\nAnswer: -118, -5, -1, 1, 19, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 60 = 4*v, -196*i - 623 + 146 = 503 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j. Let a be 1*(-4 - (-2)\/2). Let g be y(a). Let z = 1 - g. Are z and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35021 in 5, -2, 1\/3, -5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11189, -44772, -100745, -179108, -279861, -403004, -548537?\nAnswer: -716460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 18282.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1296 - 1301. Sort c, -3, -32 in increasing order.\nAnswer: -32, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151*k**3 + 75*k**3 + 73*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73257?\nAnswer: 3, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - n + 2. Let w be h(0). Let a be 18\/(-12) + 1\/w. Let s be 1 - (-1 - (-1 - a)). Solve s*j = 4*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 169830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (106\/159)\/((-2)\/15). Let v(d) = -d**2 - 6*d - 1. Let f be v(-5). Suppose -4*s + 7*s = 6. Sort -2, f, k, s in increasing order.\nAnswer: k, -2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1763089, -3526244, -5289399, -7052554, -8815709?\nAnswer: -10578864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2221755 minus 29?\nAnswer: -29.2221755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-297)\/(-36) + -9)*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -3*l**3 + 195*l**2 + 1326*l - 3408 = 0.\nAnswer: -8, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wmwwwwwwwwwwwwmwwww?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1212 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 3. Suppose 0 = -2*q + 3*p - 2*p - 12, 0 = 2*q + 5*p + 24. Let g be t(q). Let s = 16 - g. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-10) + 10\/(-50). What are the prime factors of (6\/(-18))\/(j\/(-888))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + -1187.\nAnswer: -1186.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-45) + 972\/5460?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uddpuvpdvzxvp. Give prob of sequence vxv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-3)*(-5)\/(-25))\/(315\/875)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33378552 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.7 - -0.3. Let x = 11 - o. What is the nearest to -1\/5 in 3, x, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -0.5. Let u = -5.4 - x. Let d = u + 1.89974. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -349*c**3 + 641*c**3 - 2*c**2 - 358*c**3.\nAnswer: -66*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 457*k**3 - 5. Let j(r) = -15994*r**3 + 176. Determine -5*j(b) - 176*w(b).\nAnswer: -462*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 12:12 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -101053*a. Let i(y) = -y**2. Calculate p(i(d)).\nAnswer: 101053*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(5*1\/5). Let r(w) = 33*w**2 - 2*w - 10. Let l be r(o). Calculate the highest common factor of l and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46975224 to the power of 1\/2, to the nearest integer?\nAnswer: 6854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/48, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 - 29. Which is the nearest to 0?  (a) 2\/7  (b) u  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 727 - -11?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -448*x = -455*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of 213*f**5\/10 - f**4\/6 - 96*f**2 + 4*f - 9. Find the third derivative of b(w) wrt w.\nAnswer: 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + f + 1. Let t be l(-2). Suppose -22 = -5*p + t*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 177766 divided by -2.\nAnswer: -88883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (790\/(-237))\/(5\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62044 is divided by 61396?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 65338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.0578 + 0.9578. Let u = -4 + 9. Which is the closest to 10?  (a) u  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 4) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q - 3. Let l(c) = c. Let f(y) = 2*y**2 + 26*y - 30. Let k be f(-14). Let h be (-1 - -3)\/2*(-10 + 9). Calculate h*d(u) + k*l(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 375540 is divided by 299.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 6330*r**2 - 31525*r.\nAnswer: -5*r*(r + 5)*(r + 1261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010110101 + -1000101011?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 4:44 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*sqrt(85)*-3 - -2*(sqrt(85) + sqrt(85) + (sqrt(85)*1 - sqrt(85)) + sqrt(85)))\/((-5*sqrt(180))\/sqrt(9))*3.\nAnswer: -27*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/14 + 462\/98. Suppose 72 = p - r*n, n = -3*n - 20. What is the remainder when p is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 4 + 21)*(o + 0*o + 0*o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -345649 >= -12789051\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 13 - 7 - 4 + 2*a - 9*a**2. Let c(b) = -154*b**2 + 35*b + 35. Calculate -2*c(v) + 35*q(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j**2 + 5*j - 6. Let x(b) = -b**2 + 40*b - 147. Let f be x(36). Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*q**2 - 5277*q - 879.\nAnswer: -3*(q + 293)*(6*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -u + 0 + 19 - 4 + (-3 + 3 + u)*(-1 - 5 - 2) in the form q + p*u and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 27  (b) 1\/141  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -130 - -140. Let f(v) = -6*v - v**2 + j*v + v. Suppose x = -x - 4. Let a(g) = g. Give x*f(o) + 10*a(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 0*z - 6*z - z + 4*z. Let d(n) = -n. Determine u(d(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 5*h - 2. Let g be r(-5). Let c = -281 + 275. Let k = g - c. Solve -k = -2*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -104 times -547\nAnswer: 56888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is cb + 2cb6a8?\nAnswer: 2cb795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 5*z + 15. Let b(f) = -f**3 + 14. Let h be b(0). Suppose h*o - 2*t = 15*o + 1, -t = 3*o + 13. Give p(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4 + 1. Suppose -4*y - 3*n + 18 = -2*y, 0 = -5*y + w*n + 24. Let p(x) = -x**2 + 8*x + 24. Let j be p(10). Solve -6 = j*g + y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224750*t + 224750*t - 448*t**3 + 444*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 757504639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.96 + -0.04. Let z = -0.6161 - -0.4161. What is the third smallest value in 5, y, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -5*h - 17 + 32, 0 = 5*h - 3*o - 31. Let i = -1\/12 + 1\/48. Let y be (-30)\/(-9)*2\/5. Put h, y, i in increasing order.\nAnswer: i, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3*(-10)\/(-9))\/(-2). Let v(m) be the second derivative of 12*m + 0 + 1\/4*m**5 + 0*m**2 + p*m**3 - 5\/4*m**4. Factor v(l).\nAnswer: 5*l*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -165 - -165.3. What is the nearest to -2\/7 in f, 9, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -68*c**2 + 799*c + 22. Determine t(9).\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbqfbqbfqbqb. Give prob of sequence bqbb.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/4884336 and -145\/18.\nAnswer: 4884336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ptzz when four letters picked without replacement from {p: 1, n: 5, d: 1, z: 2, t: 1, m: 10}?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 17, l: 2}. What is prob of sequence iil?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -820, -1632, -2434, -3220, -3984, -4720, -5422?\nAnswer: -6084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*b + 21*b + 40334 = 0. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - u + 80 = -5*r, -3*u - 60 = -r. Let w = u + 25. Suppose 0 = -w*q - 4*z + 13, 2*z = -6 - 0. Solve -3*c = -3*b + 12 - 3, b = q*c + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 8*o**2 + 7*o - 2. Let m be x(7). Let n be 0 + 9\/6 + m. What is the second smallest value in 0, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 + r + 181. Let x be p(0). Let u = x - 60. What is the remainder when u is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 20 = 12*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1956 * 2.9.\nAnswer: 5672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and 6.6896?\nAnswer: -60.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of o**4\/4 - o**3 + o**2 + o + 1. Calculate the remainder when 13 is divided by v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 98 - 94. Differentiate 2*y**4 - t - 8 + 29*y + 0 + 2 wrt y.\nAnswer: 8*y**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-4 + 11 + -3))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 169756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 4)*(38*d + 39*d - 20*d) + (-2 + 0 + 0)*(-4*d + 0*d + 5*d).\nAnswer: 112*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4447, -4253, -4059, -3865, -3671?\n\"Answer: 194*i - 4641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u + 6. Let m(z) be the third derivative of -z**4\/12 - z**3\/3 - 7*z**2. Give 3*g(k) + 10*m(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 2*f**3\/3 + f**2 - f - 1. Let m(h) = h**3 - 8*h**2 + 7*h + 2. Let t be m(7). Is c(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 10*d + 19. Suppose -14*j - 8*j = -286. What are the prime factors of z(j)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 55204*y**2 + 55204*y**2 + 18*y + 19*y**4 to the form k + l*y**3 + m*y**2 + i*y**4 + v*y and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 3*v - 3. What is the tens digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -772*w - 538*w + 87618 = -451*w for w.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -14*d**2 + 14 - 13189*d - 2*d**3 + 13189*d. Let c(a) = -a**2 + 1. Determine -3*b(z) + 42*c(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -527*-3*(-2)\/3. Let p = 3214\/3 + y. Calculate the common denominator of (-2)\/(-4) - 89\/14 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 28*h - 110. Give j(-33).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of n**6\/30 + n**5\/4 + 7*n**4\/12 + n**3\/2 + 3*n - 18. Suppose d(u) = 0. Calculate u.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25090 divided by 5.\nAnswer: 5018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1400 - -1849. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91 divided by -1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23143865 is divided by 1042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 7*l + 131. Let n be f(-19). Let i be (-4)\/(-7)*7\/n + 4. Let r be 2\/(-5) - 46\/10. Sort -3, i, r in decreasing order.\nAnswer: i, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*i - 4 - 1 + 3 + 3 in the form y*i + r and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k**6 - 7*k**4\/2 + 7*k - 2. Find the third derivative of r(o) wrt o.\nAnswer: 720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/64 - -33\/64. Let l = 255.98 + -253. Let p = l - -0.02. What is the nearest to x in p, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 4*w - 9. Let s be n(-8). Let f = s - -93. Suppose f = 3*m + m. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*c - 1, c + 8 = 3*r. Solve 9 = -2*n - x - 2*x, 3*x - 6 = r*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 403, -4, 1, 2 in ascending order.\nAnswer: -4, -3, 1, 2, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*(-23)\/((-345)\/2).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of n**7\/280 + n**6\/120 - n**5\/40 - n**4\/8 - 10*n**3\/3 + 9. Let l(z) be the third derivative of h(z). Factor l(u).\nAnswer: 3*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -181, -3, -5\/4, -2\/11 in decreasing order.\nAnswer: 2, -2\/11, -5\/4, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -3. Suppose 3*b = 5*n + 2*b - 28, -2*b = -n + 2. Suppose -2*c - 2 = -2*u, -3*c - 2 = -2*u - 4. Solve u*r + j*h - n*h = 13, 4*h + 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/10*190\/(-798)*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 4*d**2 + 2*d - 4. Let z be s(5). Let t = z + 26. Put 0, -1, t in descending order.\nAnswer: t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -168*c - 256 + c**2 - 5*c**2 + 48 - 73 - 459.\nAnswer: -4*(c + 5)*(c + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 33643910?\nAnswer: -33643909.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.52 - 1993.48. Let f = -2265.2 - p. What is f rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f**2 - f. Let d be 0\/(-1) - 1*-1. Let i be k(d). Let i - 6 + c**3 - 4*c**2 - 5*c - 2*c**3 + 1 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 8*f**3 + 11*f**2 + 37*f + 103. Calculate i(-4).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u - 10. Suppose 2*r = -4*z + 18, -3*z = 2*r + 3*r - 24. Suppose 0 = 5*t + r*t + 72. What is c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 5*d + 420. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19038 + 18731 = -595*z + 35393 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 5*h - 840 = 0, 2*u - 328 = -0*u + 2*h. Suppose -7*y = -u - 618. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-6)*h**6)\/((h**(-19\/5)*h)\/(h*h**(1\/12))))**29 assuming h is positive.\nAnswer: h**(6757\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**3 - 23*s**2 + 16*s + 22. Let m be t(10). Let y be 0 - -5 - m\/(-26). What is the third biggest value in 3, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 8*v - 5*v + 41, u - 2*v - 36 = 0. Solve -4*p = u - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c + 56 + 54 - 230 + 54 + 64. Suppose d = -5*k + 25, -8 = 3*k + 5*d - 45. Suppose -2*s - 20 = k*n, 4*n - 2 = -s + 5*n. Determine q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 345399*m + 3108609. Determine g(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, z: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -749 divided by -67\nAnswer: 749\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2601 + -1622. What are the prime factors of k?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*d - 104*d = -30. Which is the third smallest value?  (a) -610  (b) -8  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-4) - (-5 - (-25)\/10). Let q = 5 - 5. Suppose 5*f - 8*f + 108 = q. Calculate the greatest common factor of s and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*h + 1. Let p = -74 - -74. Sort h, -4, p in descending order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 40*v**2 - 176*v + 49. Let k be t(-35). Calculate the greatest common divisor of 168 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - (-88)\/((-6)\/3). Let i be 6\/(-14) + (-186)\/s. Which is the smallest value?  (a) i  (b) 3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -7*o + 9. Let d(a) = -a + 5. Let i(b) = 6*b - 25. Let n(l) = -5*d(l) - i(l). Determine 6*n(g) - t(g).\nAnswer: g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13777 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lololllloll. Give prob of picking 1 l and 1 o.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 60 + -54. Solve -2*v - x*v = 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -265 + 458. Let a be p\/2 + (-5)\/10. Let h = 109 + a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0270882 and -2.\nAnswer: 0.0541764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -5*u**2 - 4413350*u - 973882911125 = 0.\nAnswer: -441335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12144029 or 12144020?\nAnswer: 12144029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - h**2 - h + 10. Let l be a(0). Suppose -l = m - 9. Let k(j) = -19*j**2 - j - 1. What is k(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**3\/7 + 31250*d**2\/7 - 1277888*d\/7 = 0?\nAnswer: 0, 41, 15584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -1 - 0. Suppose -2*t + 2 + 6 = 0. Let k(p) = p + t - 4. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -79889*i + 559273. Give n(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -3115127414 and 1914.\nAnswer: -3115125500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4680 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 3:14 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -298 + -45a62?\nAnswer: -4624a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -178 + 150. Let t = y + 31. Let p = -3 - -5. What is the smallest common multiple of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1818074 and 0.4?\nAnswer: -0.07272296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 44974137 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: Sort 5032, -0.1, 294, -2\/5 in increasing order.\nAnswer: -2\/5, -0.1, 294, 5032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 139113 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*v - 9 + 51. Calculate the remainder when 57 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 2)*(-115*r**3 + 68*r**3 - 30*r**3).\nAnswer: 154*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -13*f - 2. Let z(j) = -7*j - 1. Suppose -2*t - 5 = 5, 2*p - 35 = 5*t. Let d(o) = 2*o - 4. Let a be d(p). Calculate a*i(s) - 11*z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9451, -1\/384, -4\/7?\nAnswer: -1\/384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -1 + 4. Suppose 5*a - u = -6. What is the least common multiple of 8 and 3 + (2\/a)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 - 1 + c**4 - 2*c + 4*c + c**3 - 3*c**3 as x*c**3 + t*c**4 + n*c**2 + i + o*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -2*u, 5*u - 11*l + 4 = -12*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/5  (b) 1  (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 5:11 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 3  (c) 2  (d) -3\/2  (e) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-6)*12\/9. Let w(n) = 38*n**2 + 3. Let x be w(b). Calculate the remainder when x\/35 + (-3)\/7 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 3*l - 60000, -4*r = -2*r + 4*l + 120000. Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -3. Let n = -0.5 - -1. Let l = -44119 - -176475\/4. What is the nearest to 1 in l, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 182621824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 26. Solve p*w = -5*n, 3*n = -4*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -946 - -2839\/3. Let q = -4 + 7. Which is the nearest to 12?  (a) x  (b) q  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - 0 - -2*(-4)\/(-8). Suppose 2*z + 2*g - 14 = 0, 2*z - 7*z - g + 43 = f. Calculate the greatest common divisor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -403\/695 - 14\/695. Put -22, 2, -6, w, -2\/5 in decreasing order.\nAnswer: 2, -2\/5, w, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, -56, -7, 22, 0 in descending order.\nAnswer: 22, 0, -7, -56, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159288 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-20) + 6\/(-15). Suppose 156 = -a*g + 3*g. Let o = -36 + g. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -367 and -1.3.\nAnswer: 477.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3699*b - 3717*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8218 - -52?\nAnswer: -8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 6*y. Let p(v) = -265600*v + 8. Give b(p(u)).\nAnswer: -1593600*u + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (98\/(-28))\/((-1)\/80). Calculate the highest common divisor of 35 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -7*t**3\/3 - 32*t**2 - 3816*t + 4936. Differentiate c(q) with respect to q.\nAnswer: -14*q - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -717427+-0.41\nAnswer: -717427.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - (3 - (-10 - 22))) + 0 + -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/35)\/(4\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39760, 159562, 359240, 638800, 998248?\nAnswer: 1437590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/22)\/(56\/(-64)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*t - 7*t - 4 = -u + 8*t + 5, 103*t = -3*u - 88 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 219, 646, 1305, 2202, 3343?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 3*k - 2. Let m be i(-3). Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*(-96)\/(-14976)*-39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -46056*i**3 - 11653229*i**2 - 268436*i - 759 = 0. What is i?\nAnswer: -253, -3\/152, -1\/303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -193844031 and -193844032 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 165065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 1*6)*-1. Suppose -2*x = -b + 3*b + 2, k*x + 16 = -b. Suppose b*i - 30 = -2. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 160*z - 47*z - 125*z + 37*z.\nAnswer: -294*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -112 + 1010\/9. Let u be -3 + -9 + (-1914)\/(-165). Which is the closest to -1\/3?  (a) j  (b) 0.09  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -11*q**4\/4 - 9*q - 12. Let r(u) = 1. Let d(m) = -f(m) + 5*r(m). What is the derivative of d(s) wrt s?\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -3*d + 30. Let t = 8 - d. Solve v + t*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-22)\/(-48) + (-2)\/6. Let k = 4.53 + -213.53. Let f = 213 + k. Which is the third biggest value?  (a) -3  (b) v  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9073?\nAnswer: 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27143216*n**3 + 64001217?\nAnswer: 81429648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282*n + 546 + 5196 = 160*n + 221*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b + b + 2*b)*((-4 + 1 + 5)*(1 + 2 - 2) + 1 - 2 + 2 - 2 + 3 + 3 + 78 + 127 + 1347) to q + y*b and give y.\nAnswer: 3118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ow when two letters picked without replacement from ocopbwwupobbpup?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 4*u + 3. Let t(s) = 2*s - 28. Let o be t(12). Let g be -4 - (o + -4) - 3. Suppose 3*c - 5 = g. What is b(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 12138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220338103?\nAnswer: 1031, 213713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*d - 14*d + 141. Let t = d + 47. Suppose 0 = -4*v + 4*b + 88, t = 5*v - 2*b - 48 - 56. What is the greatest common factor of 140 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/4*2*-1. Suppose -5*l + 164 = -l. Suppose a = -3*x - 7, 2*a - l = 4*x - 45. Sort -26, x, m.\nAnswer: -26, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*s - 9189 + 10747 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 4*s + 6. Suppose -4 + 0 = 2*u. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 7:54 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -75750 - -230890\/3. Let w = 1232 - m. Find the common denominator of (-8 - -18)*26\/(-115) and w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, j: 1, s: 2, z: 2, y: 2}. Give prob of sequence iyja.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j**3 - 2*j**2 - 2*j. Let y(l) = 5*l - 33. Let r be y(7). Let n(u) = -3*u**3 + 3*u**2 + 3*u. Calculate r*n(t) + 3*q(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -64 + 438. Suppose -8*z = -l - 10. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 57 = 3. Let j = -14 - -5. Let a be (-6)\/(-2 - j\/6). What is the greatest common factor of a and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 3 = -v - r, -5*r = -3*v - 11. Suppose 2*z - 24 = 4*c, -c - 11 = -4*z + z. Let t(w) = -3 + 3*w + z*w + 6*w - 5*w. Calculate t(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.8, -2, -3, -0.3, -2428.\nAnswer: -2428, -6.8, -3, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*l**2*w**2 - 58178*l**2*w + 10*l*w**2 + 2155*w**2 - 2*w wrt w?\nAnswer: 6*l**2 + 20*l + 4310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*b**2 - 3*b**3 - 10*b**2 + (-16*b - 27 + 27)*(-4*b - 4 + 4)*(5*b - 4*b + 2*b) to the form g*b**2 + h*b**3 + q + p*b and give h.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.1, 3\/4, -2, -20, 333?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 699 and 1203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1015 - -584. Let g = 431.000000191 + k. What is g rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 165*b**2 - 121*b - 170038. Suppose 3*c + 111 = 474. Let z(a) = -11*a + 4. Give c*z(w) + 4*t(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -197\/114 - -36\/19. Determine p, given that 0*p + u*p**5 - 1\/2*p**4 - 1\/6*p**2 + 0 + 1\/2*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*y - 27*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -518143.91999825 + 518144. Let k = h - 0.08. Round k to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/40)\/(2\/60)*52\/24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -335b9c + 0?\nAnswer: -335b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**5\/20 + f**4\/3 - f**3 - 3*f**2\/2 - 2*f. Suppose -6*c - 16 - 14 = 0. Give y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 55.21 + -160.21. What is the second biggest value in 3\/5, t, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5322 - 2*y - 10696 + 5374.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-1 + -2 - (2 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**2 - 8317 + 3*h + 8317)*(3*h**3 - h**3 + 0*h**3).\nAnswer: 8*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 15998*n - 15*n**2 - 15998*n + 5*n**2. Let p(f) be the second derivative of f**3\/6 - f. Determine p(t(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 5*i + 20, 1363*z = 1379*z + 7*i - 115 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -12400  (b) -1\/11  (c) -1  (d) 1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-318)\/(-14) + (-8)\/24*(15 + 6). What is the smallest value in -0.3, j, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6658 times -0.1\nAnswer: 0.06658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85 - 61 + 103 - 13*y + 80.\nAnswer: -13*y + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 807 - 14?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 356801.755817 and 0.8.\nAnswer: 356802.555817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4 - -18*(-1)\/(-20)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -61*g + 60*g - 92, 3*g - 99 = -3*r. Solve 17*m = 22*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46766161.000773 - -46764272. Let j = 1889 + h. Round j to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w - 94 = -40 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/88 in -2134, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c*c**(6\/7)))*c**(1\/2)*c**(5\/6)*(c*c\/(c\/c**38))\/c)**(-4\/15) assuming c is positive.\nAnswer: c**(-692\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -671*j + 671*j - 2*j**2 + (3 - 3 + j)*(5 - 3 - 4 + 5 + 1 - 5 + 0 - 4 + 2 + 3 - 6 + 2 + (-1 + 0 + 3)*(1 - 2 + 3) - 4 + 3 - 1)*(0*j + j + 0*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 13 = -a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 11:31 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3892 - 3892 - 4195*l)*((3 - 3 - 2)*(0*l + 0*l - l) - 3 - 2 + 2 + l) in the form w*l**2 + x*l + k and give x.\nAnswer: 12585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 0 - 2*w - 4*w**2 - 1 - 8. Let d(s) = -288 + 7*s - 314 + 616 - 4*s + 6*s**2. Calculate 5*d(c) + 8*p(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -112023?\nAnswer: 112024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**2\/2 - 65752496*p + 131504991\/2 = 0.\nAnswer: 1, 131504991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 8*d - 128. Suppose -34 = -j - d. Suppose -46 = -j*q + 64. What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/((33\/(-5))\/(36\/(-90))). Factor 2\/11 + z*v + 2\/11*v**2.\nAnswer: 2*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + n = 28, -2*q = 3*n - 19 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8532*m**4 + 2301*m**3 + 2039*m**2 + m - 277?\nAnswer: -204768*m + 13806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 82*p**2 + p. Let n(h) be the first derivative of h**2 - 8. What is n(f(d))?\nAnswer: 164*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + (-47 - -2 - 53).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + 262*u - 2155. Let h be p(8). Solve -h*f - 4*i = -3*f + 2, 0 = -i - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 15, h: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-323 + 485 + 323)*(-v + 2 - 2).\nAnswer: -485*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66630522 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -7) + 5 + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from cccchchcchcccccccc.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -371 + 377. Suppose -4 = -4*n, c - 4 = f + 5*n. Sort -2, -11, f, -4 in descending order.\nAnswer: -2, f, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 602429 - 602263.00274. Let q = -166 + b. What is q rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*s**5*x**3 - 320*s**4*x**3 - 10*s*x**3 - s*x**2 - 3*s + 835*x**3 - 2*x**2 wrt s.\nAnswer: 680*s**3*x**3 - 3840*s**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 15 = -4*w, 2*w + 4*l = -3*w - 16. Let d(y) = -6*y - 21. What is d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in -1, 4, 0.2, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1664 and 88.\nAnswer: 18304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -405*v**3 - 11*v + 12*v + 425*v**3 + 3*v**4 - v**2 to the form o*v**2 + z*v**3 + b + t*v**4 + h*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3\/5 + 70690*i**2 + 4241134*i\/5 + 3887686\/5 = 0. Calculate i.\nAnswer: -176713, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011795974 to the power of 1\/3, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*k*n*u**2 - 3*k*n*u + k*u**2 + 559*k*u - 3*k - 508*n*u**2 + 3*u**2 wrt n?\nAnswer: -4*k*u**2 - 3*k*u - 508*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -6*j - 20. Let x be r(-4). Solve i - 1 + 3 = 3*w, 4*i - x*w = -16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/(-1) + (-1 - -1). Let u = o + 9. Let k = -9 + u. What is the least common multiple of 20 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.4 in -4\/5, -3, 1, -30\/11, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 14*g**2 + 16*g - 29. What are the prime factors of u(13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 159 - 161. Which is the fourth smallest value?  (a) 2  (b) -0.7  (c) 14  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 6 = -5*q. Suppose 15 = -y + 4*y, 0 = q*o - y - 3. Suppose 5*i + t = 2*t + 94, -5*i + 5*t = -110. Put -3, 0, o, i in descending order.\nAnswer: i, o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 AM and 9:34 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - 8*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + n - 25 = 0, 4*b + 4*n + n = 37. Let a(f) = -3*f + 3*f + 19*f**3 + 0*f - 18*f**3 - b + f. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11358?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - a - 4 = 0. Let j(y) = 3*y**2 - y - 1. Is 13 a factor of j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*h - 21, n + 6 = 3*n. Suppose y - 2*x = -13, 5*y + h*x = -0*x - 117. Let j = 7 - y. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(38)\/sqrt(18) + -2)**2.\nAnswer: -2*sqrt(19) + 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + -34.1. Let b = -23.1 - m. Let j = -22 - b. Put j, 0, -2\/9 in ascending order.\nAnswer: j, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5, -33, -115, -247, -435, -685, -1003?\n\"Answer: -z**3 - 16*z**2 + 17*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 435 and 106215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 34*q**2 + 10*q + 7. Let j(l) = 23*l**2 + 7*l + 5. Let g(h) = -7*j(h) + 5*v(h). What is g(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpwdowwaiowwwid. Give prob of sequence oi.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 5*i - 6*i - 10 = 0, 2*k + 3*i + 2 = 0. Let d be k\/(-12) + (-32)\/(-192). Solve -6 = -2*n - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rc when two letters picked without replacement from bcbccrhcicggbcr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 972518, -5, 0 in increasing order.\nAnswer: -5, 0, 1, 972518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 1. Suppose -4*n - 16 = -120. Let i = -26 + n. Solve i = x*h - 5*h - t + 3, 5*t + 5 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2840767 by -26.\nAnswer: -2840767\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 5)*(-4 + 4 - 2*w)*(-758 + 1013 - 692)*(-2*w**3 + w**3 + 0*w**3).\nAnswer: 874*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2, 10, 22, 34, 46?\n\"Answer: 12*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*s**2 + 137*s**2 - 19*s**2 in the form f*s + z*s**2 + t and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 2*v = -18 + 23, 3*u = 3*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -15051  (b) 1  (c) 2\/7  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 522\/(-14877)*4\/((-8)\/(-6))*1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -9 - 87. Let l = -18 + 27. What is the remainder when (-3)\/(2 - 11)*f is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d + 14. Let h be l(-6). Let q be (h\/6)\/((-10)\/3015). What is q rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((-120 - -107) + 3 + 2 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*u - 2. What is the third smallest value in -4, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0624 - 0.0624. What is the smallest value in u, 5\/4, 47?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 12*d**2 + 10*d - 1. Let p be m(-11). Sort p, -3, 3.\nAnswer: -3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*6\/4 + 2. Suppose 2 = -2*h + h, 2*h = -a - 5. Sort q, 2, a in descending order.\nAnswer: q, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 11*g + 11. Let l(x) = x**2 + 2*x - 27. Let z be l(-7). Determine u(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 411 + -81. Let n = r - -76. Which is smaller: n or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 58 = 44. Suppose 2*h + y = a, 3*h - y - 84 = -0*h. What is the units digit of 126\/h + (-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - j = -652, 4*g - 4*j = -102 + 614. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**2 + 136*y = 0.\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114218*b - 83 = -2*c - 114215*b, 0 = -4*c + 5*b + 141 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 543*l + 3268. Calculate g(-10).\nAnswer: -2162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(4 + -7) - -9. Suppose 4*t - 5*t = -w. Solve 0 = -2*h + t*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1255646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 551 = 5*m - 34. Calculate the common denominator of (m\/(-30))\/(18\/(-105)) and 6\/18 + (-501)\/45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/2)*n\/(n*n**(-11)))**(-5)*((n**(-3)\/n)\/(n*n**(-3\/13)))**(10\/9) assuming n is positive.\nAnswer: n**(-14695\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 18456\/72 + (-8)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3758295 and 855.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17380*s + 17379*s - 42 = -2*l, -2*l + 46 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (18\/(-10) + 12\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 679*-0.2\nAnswer: -135.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 AM and 1:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -2*t + 5*l, -2*l + 4 = -4*t - 6*l. Let k be (5\/(-10))\/(t\/20). Let b(x) = x**3 + 7*x**2 + x. Is b(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 120\/165)\/(4\/22). Solve -2*c = -2*o, -47*c + 45 = -h*o - 52*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 (base 9) in base 8?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70851000 divided by 16500.\nAnswer: 4294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(68) + (sqrt(68) - sqrt(68)*-2*1))\/(sqrt(36)\/(sqrt(36)\/sqrt(4)))*-4 + 0.\nAnswer: -16*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + 23. Let y = z + -24. Let x be 37\/7 - 3 - 2. Which is the closest to -2\/5?  (a) -0.5  (b) y  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57506265, -115012533, -172518801, -230025069, -287531337, -345037605?\nAnswer: -402543873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from ttntnynyngngkynynng?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39365 and -0.049.\nAnswer: -1928.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -602*-7.39.\nAnswer: 4448.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**3\/9 - 23816*f**2\/9 - 23625470*f\/3 + 15760900 = 0.\nAnswer: -5955, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10858070.\nAnswer: 2, 5, 17, 23, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 + -876.201054839.\nAnswer: -937.201054839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(42)\/sqrt(384) + 3 + sqrt(175) + sqrt(7).\nAnswer: 3 + 49*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1767 and 6899391.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2336*g. Let f(v) = 7*v. Give p(f(d)).\nAnswer: -16352*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 - 2 + 2*t**2 + 4)*(-814151*t**2 - 2517*t**3 + 814151*t**2).\nAnswer: -5034*t**5 - 5034*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*x**5 - 10*x**4 + 36*x**3 + 26*x**2 - 450?\nAnswer: -780*x**2 - 240*x + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**3 - a**2 + 5*a + 8. Calculate the remainder when v(-4) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*c + 3. Let a be ((-1)\/c)\/(3\/36). Let n be (-2)\/(a\/(-1)*-3). Sort 3, 0.4, n.\nAnswer: n, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -863928*l**5 - 1244*l**2 - 2*l - 131?\nAnswer: -51835680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*j + 60, -3*j + 2*x + 18 + 77 = 0. Let q = 158 - j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -9*b**2 - 1. Let r be v(-2). Let f = -10 - r. Suppose 0 = 2*u - 3*z - 8 - f, -u - z = -30. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -8) + -6 + (5 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**3 - z**2 + 3*z - 3. Let s be a(3). Let p = s - 78. Suppose -2*u + 4*i + 60 = u, 5*u - i - 117 = p. Is u greater than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*n - 2*n - 3*n)*(1 - 1 - 2*n + (-3 + 2*n + 3)*(1 - 1 + 1) + 2 + n - 2) in the form d*n**2 + j*n + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12946 - 27345. Let d = -7880 - a. Let v = 11132 - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82008 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*w**2 - 226*w + 780.\nAnswer: 2*(w - 6)*(8*w - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-15)*(-2)\/(18\/(-15))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 3*u - 3, u + o - 5*o + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**4\/13 - 24*o**3\/13 + 22*o**2\/13 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide (-1026121)\/(-74) - 52\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -16 and -1314.8199.\nAnswer: -1330.8199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 20 = -0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 6. What is a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -4 and -76\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2935.05771 rounded to 1 decimal place?\nAnswer: 2935.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*((sqrt(200) + 1 - sqrt(2)) + 2 + -5 + (sqrt(2) - sqrt(6)\/sqrt(3)) + -4))**2 + 0.\nAnswer: -3888*sqrt(2) + 7125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -10*s - 4. Let i(y) = 10*y + 3. Let j(h) = 2*i(h) + 3*v(h). Calculate the remainder when 119 is divided by j(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99668113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -16164 plus -1528.395?\nAnswer: -17692.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14731081 times -24?\nAnswer: 353545944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1791)\/6*40\/(-150) + (-39)\/15.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 4  (c) -3\/4  (d) 87  (e) 34  (f) 3  (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 49967189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 1392, -21?\nAnswer: 1392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1327353421 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2) + -4 - sqrt(20)\/(2*sqrt(10)))**2*5.\nAnswer: -25*sqrt(2) + 255\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 23 = -3*i. Which is the third biggest value?  (a) 4\/13  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1349*b + 3. Let l(y) = -670*y + 1. Calculate -2*i(a) + 5*l(a).\nAnswer: -652*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**2 - 204*m + 200 = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 2*j + 1131210, 4*j - 640057 = 5*n + 491123. Round n to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 57752, 0.5, 2\/373?\nAnswer: 2\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5679\/1262)\/(20\/(-8))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72230 and 3029.\nAnswer: 938990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -1 - (-2 + 2 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 4. Let c(q) = -3*q**3 - 2*q - 104. What is c(l) + p(l)?\nAnswer: -2*l**3 - 2*l - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 379 = u - 3*t, 0 = 2*t - 2. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 309*m - 54830. Determine u(-435).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.07 - -1.07. Let u = 2 - -1. Let y = -3.5 + u. What is the nearest to -2 in y, -2\/7, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 799 and 24957?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4180695886?\nAnswer: 2, 2090347943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/362  (b) 4  (c) 15  (d) 0  (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2*y - 3*y - 29, -5*n + 35 = -3*y. Calculate the lowest common multiple of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of k**5\/5 - 2*k**4\/3 - 8*k**3\/3 + 16*k**2 + 39*k. Factor t(r).\nAnswer: 4*(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-237)\/158)\/(3\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8207 - 5631. Is h a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 1. Let i(u) = -u - 1 - u**j + 31*u**3 - 17*u**3 - 7*u**3. Determine i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(8\/(-4)))\/((-3206)\/48090).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -1 + -7 + 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 90427619 to the power of 1\/2, to the nearest integer?\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 9. Let b = 25.9978 - p. Round b to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0. Suppose 9*b = 4*b + 25, -3*q + 2*b = 25. Let z = q + 7\/2. What is the closest to 0 in o, 5\/4, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2606 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 2. Let p = 1809 + -1807. Let h(i) = -1. What is p*h(k) + f(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233351 is divided by 55.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 198010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22)\/(-60) + (-3)\/15. Let m(l) be the second derivative of 0*l**2 + s*l**3 - l + 0 + 1\/12*l**4. Factor m(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.8413 + 11.89. Let r = 0.0727 - l. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(96) + (sqrt(96) + 4*sqrt(96))*-6))\/(1*2*sqrt(200)))**2.\nAnswer: 22707\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 divided by 3.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10012597 - -10012537.36121. Let o = -60.6387928 - a. Let f = o + 1. What is f rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = r + 4*t, -7*r + 6*r - 3 = -4*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*l = -3*p + 191, -3*l + 142 = 2*p. Suppose -2*m + l = x + 2, 151 = 3*x + m. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 3*u**2 + 8*u - 6. Determine r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -6. Suppose r*y - 10 = -2*y. Suppose y*t - 190 - 20 = 0. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 186951154?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1325, -5, 5\/3 in ascending order.\nAnswer: -1325, -5, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-11))**(-45)\/((q*q**(-18))\/(((q\/q**(5\/4))\/q)\/q)) assuming q is positive.\nAnswer: q**(1859\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 26 = -i. Let m = -16 + i. Let q = -25 - -46. What is the greatest common factor of m and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 159 - 163. What is the third biggest value in -2\/5, n, 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4144, -3131, -10406, -17681, -24956?\nAnswer: -32231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2717 divided by -16360?\nAnswer: -2717\/16360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 - 0.7. Let u = -53732 + 7683617\/143. Let y = u + 3\/13. Put 5, y, i in ascending order.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 3*k**2 - 4. Let n = 530 - 380. Let c = 146 - n. Calculate o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341115389?\nAnswer: 7523, 45343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 436 (base 13) to base 10.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -858 + 1489. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 933367 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51 - 30. Let d = f + -17. Suppose 0 = -3*b + d*i + 22, 0 = 2*b + b + i - 17. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-3) + 4\/6. Suppose p*t + t = 10. What is the derivative of d**2 + 2 - 3*d**t + 0*d**2 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 14 = -46. Let y = 10 + d. Suppose -11 = z + 3*r, 5 = 4*z - r + 10. Is z <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**8)\/b)\/(b\/(b*b**12)))\/((b*b\/((b\/(b*b**4)*b*b)\/b))\/b)**(-2\/9) assuming b is positive.\nAnswer: b**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/(-102) - 8\/(-3)) + -3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 361874.\nAnswer: 2, 19, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*t**3 + 54*t**2?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3761*r + 8288*r + 2*r**5 - 6561*r + 86*r**4 + 1260*r**3 + 6664*r**2.\nAnswer: 2*r*(r + 1)*(r + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92 and 15686782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 26*v**3\/3 + 22*v + 10. Let l(r) = -14*r. Give a(l(f)).\nAnswer: -728*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -104, 3850, -1.\nAnswer: -104, -1, 3850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1636 and 1731297.\nAnswer: 6925188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (40 - 28 - 66)*(-3*s + 5*s - s) to c*s + p and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*h = 4*u + 115*h + 15, 2*u = -2*h - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 6*g**2 + 14*g - 35. Calculate m(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**(-1)*z*z)\/z)\/z)\/z*z)**(3\/2)*z**1*z**(-1\/2)\/z*z assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/v**(-6))\/v*v*v*v*v\/(v**0*v))\/((v\/v**(2\/9)*v)\/(v\/(v*v**(7\/3)))) assuming v is positive.\nAnswer: v**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from beebebeebbee?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 35 = 32. Suppose -4*g - 3*u + t = -68, 0 = 5*u - 25. Solve -d - 5 = 0, -2*i - 4*d + 10 = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**2 - 7*y**2 + 2*y**2 + (2*y + 2*y + y)*(-4 - 2*y + 4) - 4*y**2 - 6*y**2 + 5*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 5. Let u(s) = s**2 - 2*s + 1. Let h be u(4). Let y be z(h). Find the common denominator of y\/(-6)*(-651)\/28 and -117\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11000010010 (base 2) in base 10?\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2772 + (-1 - 0)\/1. Suppose -g = 4*h - 2*g, 4*h = -g. Suppose y + 3*l - 562 = 0, w = 5*y + 2*l - h*l. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 412 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 36, 3, 0, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 2431.\nAnswer: -972.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d*d\/d**(-2\/7)*d))\/d)\/d)**6\/(d**(7\/4)*d)**(1\/2) assuming d is positive.\nAnswer: d**(-1517\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 9:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13395648397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iqqiqiqmmmi. Give prob of sequence qqqm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 189*u**2 - 8126*u - 31. What is y(43)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1209 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (117\/(-234))\/((-10)\/180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 112 = -2*m, -999*m = o - 988*m - 36 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -70893 smaller than -70910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**2 + 3 - 5*x**2 + 3*x**2 + (-2*x**2 + 27*x - 27*x)*(-4 + 2 - 8) as n*x + l + j*x**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 5*n. Let a(o) = o**3 + o**2 + o + 1. Let h be a(-2). Let d = 9 + h. Suppose -4 = -d*i + 16. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g + 2. Let y be q(0). Suppose -y*r = -5*r + 18. Suppose -r*o + 93 = -3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258976762 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 27 = -4*c + 5*y - 2, 3*c + 26 = -54*y - 37 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 - 15*m**2 - 96*m - 108.\nAnswer: 3*(m - 9)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from plpppplpppplpp?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 7*s + 5*b - 39 = 5*s, -20*b + 23*b = -5*s + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 4:50 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -6. Let s(x) = -14*x**2 + x - 1. Let n be s(1). Let k be 176\/(-77) - 4\/n. What is the nearest to 1\/2 in k, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-0.2571.\nAnswer: 0.5142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(2299) + (0 + sqrt(2299))**2 - 1*sqrt(76)) - (((1 + sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 + -5 + ((1 + sqrt(2299))*1)**2).\nAnswer: -2297 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -421272, -842542, -1263812, -1685082, -2106352, -2527622?\nAnswer: -2948892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 21000, 84814, 191170, 340068, 531508, 765490?\n\"Answer: 21271*p**2 + p - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 105679 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 12*a + 6 - 9 - 2*a**2 + 3. Let p(v) = 4*v**2 - 25*v - 1. Let i(x) = -13*h(x) - 6*p(x). Find the first derivative of i(z) wrt z.\nAnswer: 4*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -7\/5, 3, 4, -6\/97, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5247 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 19, 4, -1\/2, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5*s**2. Let d be x(1). Suppose -4*h - 5*a = -3*h + 13, -4*a = 5*h - 19. Determine b so that -b**2 - 5 - 2*b**2 - h*b - d*b - 4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 2*w = 4*v + 42860, -4*v = -8. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-8)*0)\/(-2). Suppose 2*p - p - 96 = 2*s, -4*p - 16 = o. What is the tens digit of 2 + -4 - (s - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/80 and 91\/42549120?\nAnswer: 42549120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 29*g**2 - 14. Suppose -124*f = 93*f + 1636 + 751. Let h(c) = -10*c**2 + 5. What is f*h(z) - 4*u(z)?\nAnswer: -6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (3 + 4\/(-6)*3). Calculate the greatest common factor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1383  (b) -7  (c) -1\/4  (d) -5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -200211122010?\nAnswer: 200211122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 4.71 and 3\/20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 162*t**2 + 3*t - 2. Let f be h(1). Let r = -99 + f. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.19699 - -0.196978359. Round p to 7 decimal places.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 7*h**2 - 14*h + 6. What is the tens digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36) + sqrt(36) + (sqrt(432)*1)\/sqrt(12))\/(2*sqrt(768)).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.4 + -0.9. Let w = -0.4 - g. Let h = -5.1 + w. Put h, -0.4, -2 in descending order.\nAnswer: -0.4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**1*v**(-2))\/(v**(-1\/4)\/((v*v**4)\/v))*(v\/v**(-1\/3)*v\/(v\/v**(-4))*v)\/(v**(-3)\/(v*v**0\/v)) assuming v is positive.\nAnswer: v**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 673628 divided by 230?\nAnswer: 336814\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 802662.1 to the nearest one hundred.\nAnswer: 802700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -166, -671, -1560, -2881, -4682?\n\"Answer: -8*r**3 - 144*r**2 - 17*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8984 - 8978. Solve -2*i - 5*g = -d - 6, -5*g = -4*i - 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 82*a + 562, 5422*q - 5427*q + a = -394 for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 201094295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q - 35. Let r be o(-15). Let x be (5*4\/r)\/(-1). List the prime factors of (116\/(-12) + 1)\/(x\/9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = 5*q - 24, 0*q = -3*q - 4*z + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -4. Suppose 3*i + r = 4*i - 5*x, 5*i + 3*x = -23. Let c = 3 - i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -973, -1912, -2849, -3784, -4717, -5648?\nAnswer: -6577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.53 + 0.13. Which is the closest to 0.2?  (a) -0.1  (b) t  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4732.99997826 - -4733. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -43, -29, 1, 53?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**2 - x - 2. Suppose -3*r + 5*v = -50, 0*v + 43 = 3*r + 2*v. Suppose 3*q + 2*q + r = 0. Does 21 divide b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 5:27 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 22 - (39 - 40)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t - 3*t + 0*t)*(27 + 39 + 36) + 13 + 49*t - 13 as c*t + v and give c.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 271475099.00000071 - 271475101. Let s = c - -2. Round s to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 - (11 + -3)\/(-4) is divided by 35\/245 - ((-55)\/7 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**2\/5 + 118348*o\/5 - 236692\/5 = 0.\nAnswer: 2, 118346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -358 = 5*m - s, s + 292 = -4*m - s. What is the common denominator of 12\/(-6)*(-134)\/m and -89\/46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 1538975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.3 - 0.2. Let p = h - -0.1. Suppose -15*m = -17*m - 2. Which is the nearest to m?  (a) 5  (b) p  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v + 4 = 0. Let w = -7 - -10. Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c = 8*c + 245. Suppose 2*j - 34 = 4*i, 3*i - c = -j - i. Suppose 26*s - j*s = 3. What is the smallest value in -3\/10, 3\/5, s?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 13 - 200*u - 198*u - 195*u + 20 + 597*u. Give d(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 24. Suppose 0 = 5*n + 5 - i. What is the second derivative of 2*d + 3*d**n - 2*d + 2*d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158405 less than 0.728039?\nAnswer: 158405.728039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 42321.\nAnswer: 1\/14107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -810 and 0.7765.\nAnswer: -628.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 214.129 + -214. Let k = 0.371 + g. Which is the third smallest value?  (a) k  (b) 1\/5  (c) 0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -425 or -2977\/7?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s**3 - 19*s**2 + 27*s - 26. What is t(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9427718 milligrams to micrograms.\nAnswer: 942.7718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1115052, -1115047, -1115042, -1115037, -1115032, -1115027?\n\"Answer: 5*q - 1115057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, i: 1, g: 8}. Give prob of picking 1 g and 1 l.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25e09b - -1?\nAnswer: 25e09c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3 = -5. Let j(f) = -3*f - o*f**2 + f + 2 + 4*f. Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -1. Let u(g) = -4*g - 429 + 211 + 216. Suppose a + 4*a - 3*o + 22 = 0, 4*a = 2*o - 16. Give a*y(j) + u(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 1. Let v(w) = -8*w. Let o(j) = b(j) + v(j). Calculate o(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**2 - 2*q**2 - 2*q**2)*(2*q - 4*q + q)*(6 + 14 + 85).\nAnswer: 420*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a9b71 (base 13) in base 10?\nAnswer: 678627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 3430?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*i - 69*i + 2*k - 50014 = 0, -k = -i + 12505. List the prime factors of i.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -y - 3, 3*y - 225*c = -228*c + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1349713706 to the nearest integer?\nAnswer: 36738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75073668 by 12512278.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -4 - 8. Let s be (l - -34) + 0\/(-1). Calculate the greatest common factor of 70 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - l + 3)*(-1 + 2 - 2) + 26*l - 28*l + 51*l.\nAnswer: 50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92502448?\nAnswer: 2, 2131, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*a - 9 = -a, 5*r + 7 = -3*a. Let l(v) = 6*v**3 - 10*v. Let t(g) = g. Calculate r*l(u) + 10*t(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63015 is divided by 1853?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4932 + 13*v + 4883 - 9806.\nAnswer: 13*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, 13, -2, 3, -604 in decreasing order.\nAnswer: 13, 3, 2, -2, -6, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -612 = -m - 5*m. Suppose 0 = -5*r + 58 + m. What is the lowest common multiple of 6 and r?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65942?\nAnswer: 2, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*j*n**4 - 7*j*n**2 + 2*j + 2*n**5 wrt n?\nAnswer: -1176*j*n + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 3. Let a(f) = 2*f + 7. Let x be a(-5). Let y be (x\/4)\/(12\/(-672)). Let j be (6\/4)\/((y\/20)\/7). What is i(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -2.14  (b) 488  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2*f + 3 = 0, -5*z + 30 = 5*f. Let c(t) = 3 + 5 + t - 3 + z. Let k be c(-5). Do 7 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1 + 1523*b**5 + 5*b - 2*b - 146*b**2 - 3*b - 47*b**5 wrt b?\nAnswer: 88560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 2:24 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 34*a - 756. Give r(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1223 + -20?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -163006 (base 9) to base 2\nAnswer: -11000100100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 404021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224*v + 6028 = 184*v + 140*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3 - 5 = 0. Suppose -2*j + 2*i = 8, -3*j + j + 16 = 4*i. Let b be 1 - (j + 1)*t. Let k(z) = -z**2 + 2*z + 2. Determine k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 721180, 721859, 722538, 723217, 723896, 724575?\nAnswer: 725254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -16*x - 111, 36 = 6*x - 11*x + 2*a for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of -5*f**3\/3 + 270*f**2 - 14580*f + 75. Factor v(k).\nAnswer: -5*(k - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1211.999999273 + -1212. What is u rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253402727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 258666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 1254*g**2 - 65*g - 129. What are the prime factors of q(-2)?\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hsj when three letters picked without replacement from {a: 2, s: 3, j: 5, h: 2, g: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -16*v**5 + 2*v**4 - 2*v**2 + 11*v + 2. Let l(w) = -w**5 - w**4 + w**2 - 1. Let a(d) = -2*l(d) - m(d). What is the second derivative of a(f) wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12601550 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 426523833 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*r**2\/7 - 74994*r\/7 + 117744 = 0. What is r?\nAnswer: 11, 12488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 21)*(8 + -279) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 85 = -3*o, 0 = 5*r - 28*o + 23*o - 225. What is the remainder when r is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/24*7772\/(-31610) and -161\/240.\nAnswer: 26160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**3 + 4*s**3 - s**3 + (0*s - 3*s**3 + 0*s)*(-4 + 4 - 2).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/13772 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -48, -52, -54, -54, -52, -48?\n\"Answer: r**2 - 7*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5019 + 542. What are the prime factors of s?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.7518073*3.\nAnswer: -20.2554219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 164, -1, -58, 2 in decreasing order.\nAnswer: 164, 2, -1, -2, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 142 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**5 - 2*l**4 - 32*l**3 + 32*l**2.\nAnswer: 2*l**2*(l - 4)*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1261 + 1266 - (21 + 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1990081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*g - 5*j + 42, 5*j + 35 = -5*g. Let p(d) be the third derivative of d**5\/60 + d**4\/12 + 5*d**3\/6 - d**2 + 2275*d. List the prime factors of p(g).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7297, -13408, -19519, -25630, -31741, -37852?\nAnswer: -43963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1218 - -1191.5. Round i to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28686*a**3 + a - 4244 wrt a.\nAnswer: -172116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 20*f**2 - 90*f + 5. Let m(y) = -3*y**2 - 1. Give -6*m(p) - o(p).\nAnswer: -2*p**2 + 90*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 148075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + -8. Let z(v) = v**3 + 9*v**2 - 11*v + 4. What is the tens digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.071 - -4.071. Let i = 393 + -1571\/4. Sort s, 0.4, i, -1\/2.\nAnswer: -1\/2, i, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05215 - -0.029317. Round j to 4 dps.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 3*v + 3*o, 0*v + 4*o - 30 = -v. Let c = 38368 - 38062. Calculate the greatest common factor of c and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1271357 is divided by 697.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -5132344 smaller than -5132345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80243, 80321, 80413, 80525, 80663, 80833, 81041?\nAnswer: 81293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 4\/3, -1899220\/3.\nAnswer: -1899220\/3, -0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1204411551.\nAnswer: 3, 7, 149, 384919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*l**2 + 4 + 0 + 1001*l**3 - 3 + 10*l**2.\nAnswer: 1001*l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 652*b**5 + 1255*b**2 + 16271155*b.\nAnswer: 13040*b**3 + 2510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 23*h**2 - 3*h - 1. Let u be (8\/(-12))\/(1\/3). Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.6 - 20. Let q = s + 0.4. Let u = -0.3 + 0.5. Which is the closest to u?  (a) -0.2  (b) q  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3)*q)**(-48)\/((q*q**(-1))\/q**0)*(q\/q**(-1\/2)*q*q*(q*q*q**(-1\/19))\/q)\/(q**9\/(q**(-2\/27)*q)) assuming q is positive.\nAnswer: q**(-20137\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppfp when four letters picked without replacement from fppp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 6*i - 8. What is x(-12)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 270, 2199, 7436, 17637, 34458?\n\"Answer: 276*j**3 - 2*j**2 + 3*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/3 less than -3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*g - 1353*g**2 + 164*g**2 - 12*g + 115*g**2 to k + v*g + n*g**2 and give n.\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20447428481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 14 = -5*a - 3*q, -2*a - 2*q + 8 = 0. Let t(g) = -g**3 + 0*g + 2*g - 2*g + 2*g**2. Give t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 9*r**2 - 10*r - 9. Let j be i(-8). Suppose 75 = j*h - 4*h + 3*z, -5*h = z - 137. Calculate the remainder when h is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 52*v - 47*v + 11, 2*v + 2 = 0. Suppose -g*t + 2*x + 208 = -2*t, -196 = -t + 5*x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 17 - 7 = 0. Let d be (4\/(-3))\/((-4)\/t). What is the remainder when (-1)\/d + (-188)\/(-8) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 8, -11*z + 4*h = -3*z + 34*z - 76 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 11318822.\nAnswer: 11318822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 27*w + 66. Let b be j(-3). Let r(o) = 88*o**2 + 24*o + 131. Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/3)\/z*z**(-1)\/z)**(11\/7)\/(z\/(z*(z**1\/z)\/z)*z*z**(-1\/4)*(z\/z**(1\/7))\/z**(-6)) assuming z is positive.\nAnswer: z**(-943\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 238 + -149. Calculate the least common multiple of c\/5 + 3\/15 and 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/1*9\/162)\/((-20)\/200).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 669 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6761 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**5 + y**5 - 6*y**5 + (y + y - 4*y)*(0*y**2 - y**4 + 0*y**2).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 19*i**3 + 5*i - 5. Let a(b) = -2 - 19*b**3 + 394*b - 398*b + 6 + 5*b**2 - 5*b**2. Determine 5*a(x) + 4*w(x).\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvr. What is prob of sequence rv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26404 - 88243 = -5*u - t, 61843 = 5*u + 2*t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 382001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10257536 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.562842ug in tonnes?\nAnswer: 0.000000000002562842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 4*u - 319, -3*r - 253 = -3*u + 2*r. Suppose b - 19 = -5*z, 4*b - u = z - 2*z. Calculate the remainder when b is divided by (0 - 15)*2\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -4*r + 13. Let c = -9 + r. Find the second derivative of -6*q + 5*q + 3*q**c - 2*q - q wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7645 and 324565.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 25 = -5*a, -9*w = 3*a - 6*w - 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 - 19. What is the remainder when 51 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 2:51 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 11*z**2 + z + 1. What is x(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27668304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 506795*r**2 + 81*r**4 - 12*r**3 - 86*r**4 - 506816*r**2 - 1078*r wrt r.\nAnswer: -60*r**2 - 72*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*d - 3*a + 18 = -71*d, 0 = -5*d + 5*a - 30 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.1452 minus -3178?\nAnswer: 3182.1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 211 + -96. Let r = 119 - i. Solve -6*h + 2*h - 20 = r*t, -3*t - 21 = 5*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of -25\/3*l**3 + 35\/2*l**2 + 5\/4*l**4 - 15*l + 174. What is q in z(q) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and (15\/10)\/((-6)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 2. Let f be m(0). Suppose -f*a = -6*a. What is the remainder when ((-2)\/4 + a)*-50 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -12*o + 11*o - 358, 2*o + 712 = -5*q. Let j = o + 350. Solve -4*b = j*d - 16, b = 4*d + 4*b - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 21 + 3*l**2 - 21. Let f(x) = -6*x**2 + 3*x**2 + 0*x**2. Determine f(s(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/4*(-1 - 1). Suppose 0 = -2*r + 4*s + 44, 3*s = r - w*r + 44. Suppose r = -b + 3*b. Solve -3*n = v + b, -8*v = 2*n - 3*v - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 633 and 354.\nAnswer: 74694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 230.2 - 230. Let v = -7 - -6.97. Which is the biggest value?  (a) 4\/7  (b) v  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -262600 (base 7) to base 16.\nAnswer: -bf68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0556873 rounded to three dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 65*o**4 + 6*o**2 + 6*o + 7. Let g(f) = 130*f**4 + 11*f**2 + 11*f + 13. Let q(y) = 6*g(y) - 11*l(y). What is the first derivative of q(a) wrt a?\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.0282, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.0282, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.23458979 take away 222?\nAnswer: -222.23458979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/30*(-1)\/3*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**8*j*j\/j**(1\/14)*j)**(-4\/11) assuming j is positive.\nAnswer: j**(114\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31763*s**4 + 14*s**2 + 4*s - 70 wrt s.\nAnswer: -762312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -63 - -813. Suppose 246 = -9*a + t. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 17*u + 82. Let s be (4 - -36)\/8 + u. Sort s, 205, -3, -5 in decreasing order.\nAnswer: 205, s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-8*p**2 + p - p)*(0*p + 3*p - p) - 6*p**3 - 1 + 0*p**3 + p**3)*(-1 + 2*p - 3 + 3) + 9*p**4 - 6 + 6 + (2*p**3 - 2*p**3 + p**3)*(p + 3*p - 2*p).\nAnswer: -31*p**4 + 21*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 223 - 219. Solve 3*o = -4*l + 35, -2*o - 6 = -4*l + b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1064090, -1064079, -1064068, -1064057, -1064046?\n\"Answer: 11*w - 1064101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*2\/(-10))\/((-45)\/25)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l - 4. Let d(o) = o - 3. Let v(m) = m**2 + 10*m + 2. Let h be v(-10). Let q(j) = -6*j + 15. Let n(w) = h*q(w) + 11*d(w). Give -3*n(r) + 2*u(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3410784 divided by -16398.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 0 + (-1 - -6) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**3 - 4*u**2 + 0*u + 1 + 4*u - u**3. Let k be n(3). Suppose -3*t + 5 = -k*m, 4*t = 3*m - 2*m + 11. Solve 0*z - t = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*v + 24, 0*v - v = 2*k + 15. Let t(r) = r**3 - 13*r**2 - 15*r + 4. Let m be t(14). What are the prime factors of (42\/m)\/(v\/45)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/14 + (-75)\/(-21). Suppose n*i - 360 = 44. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85274 is divided by 7592?\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -104 + 522\/5. Suppose s - 1 = 0, 3*y = -3*s + 2 + 1. Suppose y*x = -x. Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 53704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*o = 117 + 177 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*a**3 - 27*a + 5*a**3 + 39*a**2 + 15*a - 7*a**4 + 8*a**2 + 9*a wrt a.\nAnswer: -168*a - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 35*h**2 + 276*h - 45. Calculate d(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/34  (b) -0.5  (c) -5  (d) -7  (e) 1\/4  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/6*(-28)\/(-49)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7, 44, 113, 220, 371, 572?\n\"Answer: i**3 + 10*i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24923\/565 - -103\/113. Let u = j - -1111\/30. Find the common denominator of 25 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5 = -2*m. Let r be (-1)\/m - (-740004)\/20. Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 19843014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - -85. Let v = h - 118.94. Let t = v + -0.16. What is t rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1155 divided by 77.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17098630, -17098620, -17098610?\nAnswer: -17098600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/2 - -1)*8\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1199 + -660. What is the highest common divisor of 49 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 4 - 1. Let n = -9 - -19. What is the smallest common multiple of n and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j, 2*q - j - 5345 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 33*h = 32, -25*q - 13 = -21*q - 4*h - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 1\/70*a**7 + 14 + 1\/60*a**6 - 1\/6*a**3 - a**2 + 1\/336*a**8 - 1\/30*a**5 + 0*a - 1\/8*a**4. Factor x(m).\nAnswer: (m - 1)*(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*f - 52*f - u = -2420449, 0 = -3*f - 3*u + 3630660. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3057187 millennia in months?\nAnswer: 3668.6244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4186656263 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - x**2 + x - 970. Let j be b(0). Let r = j - -2968\/3. Let n = 34995\/8 + -4369. Find the common denominator of r and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a minute in milliseconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -131*f - 915. Calculate p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*y**2 + 11*y**3 - 23*y**4 + 12*y**4 + 14*y**4 wrt y.\nAnswer: 72*y + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 15. Let w(b) = 2*b + 9. Let o be w(-3). Solve -20 = 2*h - d - 3*d, t = o*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 411 divide 52776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -27 - 15 + 21*g + 3. Let d(a) = -6*a + 11. Let k(j) = 18*d(j) + 5*z(j). What is the derivative of k(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.9  (b) 0.4  (c) -1  (d) -17  (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 3*o - 5. Let u(x) be the third derivative of x**6\/120 + x**4\/24 - x**3\/3 - 23*x**2. What is 5*u(d) - 2*y(d)?\nAnswer: 3*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 7*n - 689. Calculate z(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = k + 15, 2721*k + 3 = 2724*k + 3*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2 = -6*q. Let m(k) = -49*k + 3 - q + 1 + 50*k. Let j(c) = c**2 + c - 6. Let a be j(0). Give m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-789)\/6 + -3)*-6. Let u = d + 117. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + -30553413?\nAnswer: -30553404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 308 and 560.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5148 and 90?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44719.\nAnswer: 197, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*n + 16*n - 33. Suppose n*r = 14*r - 432. Let l = r - 95. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*y + h, -3*h = -5*y - 8 - 1. Let l = -4 - -8. Let c(j) = -j**3 + 3*j**2 + 4*j - 2. Let f be c(l). Sort -4, y, f in increasing order.\nAnswer: -4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 - j**2 - 5*j**2 + (-3 + 0 + 2)*(5 - 5 + j)*(-1 + 1 - j) to n*j**2 + m + x*j and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -t**3 - 13*t**2 + 80*t + 204 = 0.\nAnswer: -17, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 54\/10)\/((-1)\/(-2) - (-552)\/(-2160)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 156953 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 21, 29, 37?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (285\/10)\/(6\/12). Suppose 811 = 8*f - 157. Calculate the remainder when f is divided by -2*15\/(-6) + j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 35040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*l - 3*l + 2*l + 3*l + 6*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1426 - 1420. Let b(z) = 5*z + 2. Let d(m) = -26*m - 11. Calculate s*d(w) + 33*b(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 74\/(-342) - (-130)\/1170. Which is greater: 30 or w?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/2414 and 31\/1278?\nAnswer: 21726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1833*c - 5688 = 1827*c. What is the lowest common multiple of 3160 and c?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**13*j*j*j*j**17*j\/j**0*j*j**(-2\/11)\/j)**9 assuming j is positive.\nAnswer: j**(3348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235811296 is divided by 14729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -5*m - 3*m**2 + 88 - 2*m**2 - 93. Let z be 3*(-4 + (-32)\/(-6)). Let h(v) = 4*v**2 + 6 - 4 + 2 + z*v + 0. Give -6*h(t) - 5*s(t).\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*n + 3*n - 12*n - n + n - n + (1 + 1 + 0)*(0*n - n + 3*n))*(1 + 2*n**3 + 1 - 7*n**3) as y*n**2 + j*n**3 + f*n**4 + k*n + z and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**2 + 0*j**2 + 19174 - 19174.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*z - 160 - 88 = 304 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 1)*(19*n**3 + 8*n**3 - 11*n**3).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2176\/3264*(100\/(-35))\/((-6)\/9)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 3*t**3 + 396*t**2 + t + 137. Let c be g(-132). Let m(y) be the second derivative of 4*y**3\/3 - 7*y**2\/2 + y. What is m(c)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -4*d**2 - 10*d - 7 - 1\/3*d**3. What is m(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -59579 + 84900. List the prime factors of w.\nAnswer: 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 - ((8 - -5) + -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 142347 a multiple of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 12.99?\nAnswer: 12.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -5*b**3 + 1052285*b**2 + 105266000*b + 2631962500 = 0.\nAnswer: -50, 210557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31198147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d + 1. Let q be x(-5). Let z(n) = -n**2 + 4*n + 3. Let c be z(q). Let u = c - -13. Calculate the smallest common multiple of 1 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -1) + (61 - -2). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*d = -43*d + 15. Put -2, -3, -6, d in ascending order.\nAnswer: -6, d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1485*w**2 + 87*w + 1133. Let o(q) = 743*q**2 + 40*q + 565. Let z(u) = 6*j(u) - 13*o(u). Differentiate z(t) with respect to t.\nAnswer: -1498*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (2 + (0 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t - 213938049*t**2 + 213938048*t**2 - 58*t.\nAnswer: -t**2 - 68*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/3542552 and -85\/1794.\nAnswer: 10627656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 8  (c) 2  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b - 7*b + 5 - 6*b. What is the remainder when j(-4) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283076503?\nAnswer: 17, 71, 234529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3272310 - 4?\nAnswer: -3272314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 + -26. Suppose u*t = 8*t - 335. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -6, -49.\nAnswer: -49, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5*c - 13 = -x, -12 = 3*x - 3*c. Let g = 12 + x. Solve g*o - 25 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 125\/4 in -0.4, -5\/16, 3\/2, 2\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 14*q = 10*q + 1, 0 = -3*x - 3*q + 12. Solve -4*o = -4*t + 36, 4*t - 4 = -x*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1287796634.\nAnswer: 2, 23, 41, 682819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 61514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 763826879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32505*w**3 + 32501*w**3 + 32508*w**3 - 97512*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 38 + 37 + 0*r**3 + 7*r**2 + 4*r. Let l be d(-6). Let o be (5 - 4)*(10 + 1). Solve -o = 4*v - v + 2*b, v - 3*b + l = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 1.21, 1\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130, -150, -198, -286, -426?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 27. Let f = -108 - -114.8. Let k = 7.8 - f. Which is the biggest value?  (a) k  (b) q  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + (-59 - -99) + 7 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1254 + 4989\/4. Calculate the common denominator of 0 + (18\/15 - 0) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178847*l**2 - 178858*l**2 - 178848*l**2 + 19*l**3 + 536553*l**2 - 22*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15*1*6\/(-18). Let b = 11 + u. Factor -v**4 + 15*v**2 - 10*v**3 + 4*v**4 - b*v**4 - 2*v**4.\nAnswer: -5*v**2*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1024 - -1628. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31 + -10301211113?\nAnswer: -10301211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 10, s: 4}. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1422 = 1902*w + 25206 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-35)\/25*2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 minus 20?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1007, 3998, 8985, 15962, 24923, 35862?\n\"Answer: -b**3 + 1004*b**2 - 14*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/4*w**5 - 89\/2*w**2 + 177\/4*w - 63\/4 + 39\/2*w**3 - 15\/4*w**4 = 0. What is w?\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 0) + 0 + 24 + -22. Let 1\/2*u + 1\/2*u**a - 1 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47762242 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.69 times 1964984?\nAnswer: -1355838.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2002982601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 9*j**2 - 53*j + 14. Is 12 a factor of m(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 4 + (-6 - -8) - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Let l(s) = 5*s + 4. Let f(o) = l(o) + 2*v(o). Let k(h) = -4*h - 6. Determine -7*f(y) - 5*k(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) 1\/5  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 3*s - 8, -s + 2 = -3*v - 3. Let t be 3\/4 + 0\/v. Which is the smallest value?  (a) -0.4  (b) -3\/7  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -11, -206, -0.5.\nAnswer: -206, -11, -1, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402000 is divided by 1381?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - 737\/(-55))*(3 + -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 224.94 + -225. What is the smallest value in i, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -210157.621 to the nearest ten.\nAnswer: -210160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q - 37. Let n be c(-11). Let w(p) = -p + 34. Let x be w(n). Calculate the greatest common factor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 0 + sqrt(5))*-6 + -2 + sqrt(80) + 3.\nAnswer: -23 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 30, -1, -3, -5 in decreasing order.\nAnswer: 30, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-40)\/(-48) - 2\/(-12). Let p be 2 + -2 - i\/(-3). Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 4 + 1305376*h**2 - 1305538*h**2 - 8.\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 244622711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3625781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(228)*1 - sqrt(228)) + sqrt(228))*5 - (sqrt(228) + sqrt(228)*-1)*-4)\/((sqrt(4356) + -3*sqrt(4356) - sqrt(4356))\/sqrt(3)) + -2)*3.\nAnswer: -6 - 5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*h - 26200. What is h rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 4*m - 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/(-140) - (-58)\/10. Suppose 5*x = -4*j + v*j - 1854, x = 0. List the prime factors of j.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**4\/y*y**(-3\/5)*(y\/((y\/y**5)\/y))\/(y\/(y*y\/(y\/y**(-3)*y))*y))**(-10))**(2\/41) assuming y is positive.\nAnswer: y**(-68\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -186 + 182. Let w = 10.835 - -0.165. Which is the nearest to 2?  (a) w  (b) u  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 12052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 814 and 43758.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/1742478 and 127\/30?\nAnswer: 8712390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (572966 - 2073*f - 572966)*(2*f - f + f) + (5*f - 6*f - f)*(2 - 3*f - 6 + 3) to u*f + w + h*f**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 7:04 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19888 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2. Let q(g) = 7*g + 22. Let r(i) = -19*i - 67. Let v(f) = -11*q(f) - 4*r(f). What is v(w(p))?\nAnswer: -p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1100 (base 2) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 98692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.4 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5058 - 5330 = -482*y + 1180 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21021588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ninnkqqknknkqkkknqqq?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(3213\/30))\/(6\/(-7))*6.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 525380 and 8917?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3277 and 7094479.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -5*x**2 - 5 + 3 + 2*x + 5 - 4*x**2 - 5*x. Give a(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkkbb. Give prob of sequence bkbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z**3\/4 - 6081*z**2\/4 + 2311920*z - 2310400 = 0. Calculate z.\nAnswer: 1, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7\/(-2) + 3)*-8. Suppose -5*x - f*b = -5, -b = -2*x - 2*x + 25. Suppose -5 = -x*c + 15. Solve 0*w + 5*h = -5*w - 35, c*w = h - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {f: 1, d: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*(1 + sqrt(3)*2 + (2 + sqrt(75))**2) + 0.\nAnswer: 132*sqrt(3) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/10, 0.6, -2\/29, 272, 2\/9, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*-1*sqrt(325)*-1 + -4)**2.\nAnswer: -200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = -3*k + 28, -218*k + 12 = -215*k for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x - 105. What is a(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -1. Suppose -29*b = 3690 - 18770. Suppose k = 18*a - 13*a - b. Is 52 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 18 = -0*k. Let z be (-4)\/k*2\/6. Factor 0*a + 2\/9*a**2 - z.\nAnswer: 2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -517, 1, 3671 in descending order.\nAnswer: 3671, 1, -1, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 92518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 7*j**2 + 6*j + 2. Let a be q(6). Suppose -a*x = x - 9. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 677.\nAnswer: 7\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -243 + -205540?\nAnswer: -210223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7119 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/144598 and -40\/106577.\nAnswer: 78227518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58812881?\nAnswer: 53, 239, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13469, 26958, 40459, 53972, 67497?\nAnswer: 81034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 3*u = 610. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 2*o + 3. Let i be s(-3). Let f be (3\/(-3))\/(i\/8). What is the nearest to 0 in -0.1, -4, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 0, 3*o = -6*i + 11*i - 130955. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191133451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.3711877 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -18. Suppose -2*u + n = -2. Is 509\/u - 3\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaarr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -231.4 - -236.4. Let w = -2 + 6. What is the third smallest value in x, w, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 70 - 75. Let j be 91\/(-182)*((-2)\/(-7))\/(-1). Which is the smallest value?  (a) z  (b) j  (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -345, 1952, 4269, 6618, 9011, 11460?\nAnswer: 13977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -1. Let c(g) = 7*g + 25. Calculate -4*a(k) + c(k).\nAnswer: 7*k + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8*-167\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7313236 grams to nanograms.\nAnswer: 731323600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 139762292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (475 - 282 + 1514)*(4*s + 3*s**2 - 4*s + (3 - 5 + 3)*(5*s**2 - 5*s**2 + s**2)) in the form o*s**2 + i + h*s and give o.\nAnswer: 6828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3 - 16*l**2 - 13*l**2 + 27*l**2 + 5*l. Calculate n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1160805 and 19545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -86\/69645 and 117\/2042920.\nAnswer: 6128760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(-3)*o))\/o**(1\/6)*o**(-6)\/(o\/o**1)*((o*o**(3\/5))\/o**(4\/5))\/(o**(-7)*o\/(o*o**(1\/5))) assuming o is positive.\nAnswer: o**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in -0.3, -10\/423, 0, 5, 8, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-10))\/(4\/20). Let g(s) be the first derivative of s**4\/4 + 7*s**3\/3 - 2*s**2 - 8*s - 4. Let u be g(-7). Solve -h = r*h + u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 16 = 0, -2*f - 4 = -2*r - 2. Let g(i) = 5 - i - 8 + 9*i - 1 + 2*i**2. Let h be g(-6). Solve 0*j + h = -r*j, 5*z - 3*j = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (((-4)\/(-7))\/2)\/(17\/119). Solve 3 + 1 = -w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 + -20. Suppose -3*d = 5*g - 83, 5*g + 4 = -21. Calculate the highest common factor of d and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*a + 27, -5*a + 44 = -2*a - n. Find the second derivative of -82*y**3 + a*y + 29*y - 61*y**3 + 35*y - 4*y wrt y.\nAnswer: -858*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1064550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9717787 and 1054.\nAnswer: 330404758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3106894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 8*m - 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 46136 (base 9) to base 4\nAnswer: 13200030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21645 and 9288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -378, 85, 3, -2 in ascending order.\nAnswer: -378, -3, -2, 3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -1723000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 7*s. Let q(j) = 4953*j. Calculate h(q(v)).\nAnswer: 34671*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 92\/15 + -7 + (-2)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((-3)\/(3495\/(-10))). Let a = 351 - p. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5415, 24, 2 in ascending order.\nAnswer: 2, 24, 5415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**4\/4 - 93*j**3\/2 - 2043*j**2\/4 + 6510*j - 14700 = 0. Calculate j.\nAnswer: -35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 + -77.3. Let v = -0.052 + 3.052. Let j = v + -3.4. Which is the nearest to -0.1?  (a) s  (b) j  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -46686, -95763, -144840, -193917, -242994?\n\"Answer: -49077*f + 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -61, -1404, -5063, -12196, -23961?\n\"Answer: -193*t**3 + 8*t + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*x + 214 + 31. Sort 0, x, 170.\nAnswer: x, 0, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5997078 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38288067.103075 - 38287634. Let y = k + -303.102998. Let h = y - 130. What is h rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*y + 29133 - 29133)*(-y**2 + 2*y**2 - 3*y**2).\nAnswer: 90*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3\/79 + -149\/237. Let d = -11 + 12.6. Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**2 - 26*n - 12. Let f be s(-8). Solve -9*l + f*l - 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**(-1\/15)\/z))\/(z\/(z\/((z\/z**(-4))\/z*z))))\/(z\/(z*(z*z*z\/z**(2\/5)*z)\/z))**(1\/21))**(-3\/43) assuming z is positive.\nAnswer: z**(59\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1690, 1606, 1522, 1438, 1354, 1270?\n\"Answer: -84*w + 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180624)\/(-48))\/53 - 29.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 261, -4, 3 in ascending order.\nAnswer: -4, -3, 3, 5, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(8\/7)\/b)\/(b\/b**16)*(b\/(b**(5\/4)\/b))\/b**12 assuming b is positive.\nAnswer: b**(109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -14 - 10. Calculate the least common multiple of 9 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2914)\/3596 - (-11)\/(330\/25)?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.7 + 14.3. Let f = r - 19.8. Sort 2\/3, 0, f in decreasing order.\nAnswer: 2\/3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 4*g + 120 = 0, -8*g + 79 = 3*o - 7*g. List the prime factors of 32\/o + 88712\/91.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*r + 560 = -26*r. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (7 + 5 + -1 + -1 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, 117, 132, 151, 174, 201, 232?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13800385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-6)*(-7)\/(-21)*18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1496 - -3312. Put -2, -1, u in increasing order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -5*y - 2*r + 698, y - 4*r - 144 = 0. Let b be 9\/12*y\/21. Suppose -b*n + 0 + 5 = 5*g, 2*n = 4*g + 26. Solve 0 = -4*x + 4 + 8, 3 = -3*k + n*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1386 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 13717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -9 - 16 - 13 + 34*w**2 + 33. Is s(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 97\/(-6) - (273\/455)\/(306\/(-85))\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -0.4, 0.13, 69, 7, 0.2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71720?\nAnswer: 2, 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 40909351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 6:13 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.051 - -26415127.\nAnswer: 26415126.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 15*i + 50. Calculate s(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/21 + (-75)\/35. Let w be (4\/d)\/(4\/12). Let b(c) = c**3 + 7*c**2 + 3*c - 4. List the prime factors of b(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*((-7)\/10)\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -818, -3233, -7256, -12887, -20126?\nAnswer: -28973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 24 = 0, -3*r + 5*p + 20 + 16 = 0. Let -6*b + 3\/4*b**r + 21\/4 = 0. What is b?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 h when three letters picked without replacement from {l: 5, e: 1, v: 1, h: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 4974860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/99 + -221\/99. Find the common denominator of 19\/4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -356*m = -335*m + 898*m - 66168 for m.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 55*d - 1. Let m(i) = 83*i - 2. Let u(x) = -5*m(x) + 8*s(x). Suppose 0*j = -2*j + 2. What is the tens digit of u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*(-6)\/(-15))\/((-3066)\/44457).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5069 by -25687.\nAnswer: 5069\/25687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2640 divide 9886800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(7)*-1 - sqrt(7))*2.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 0. Solve -g - 2 = 3*o + y, 5*o - 3*y - 5 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 145\/98 - -1\/49. Suppose -57*q + 2 = -56*q. Factor -3\/4*d**3 + 0 - 3\/4*d - g*d**q.\nAnswer: -3*d*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g - 12. Suppose -5*k - 140 = -3*j, 3*k - 4 - 11 = 0. Suppose 29 - 7 = 2*t - 3*d, 5*t - d - j = 0. What are the prime factors of z(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 5*q - 24, 3*q - q + 4*v = 14. Let h = 0 + 2. Let z = h + 1. What is the remainder when q is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**5 - 135*g**4 - 1389*g**3 - 4689*g**2 - 5736*g - 2304 = 0.\nAnswer: -32, -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a*a**(-2\/3)\/a*a)*a)**35\/((a*a**14)\/(a\/a**(1\/7))) assuming a is positive.\nAnswer: a**(-542\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -500765, -500750, -500733, -500714, -500693, -500670?\nAnswer: -500645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 3*m**2 + 7*m**2. Let z(c) = 10*c. Let w(p) = -3*p. Let r(k) = -16*w(k) - 5*z(k). Determine r(l(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1805 and 1995?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5308)\/(-5895)*(-16)\/(-4 - 0). Let l = j + -2\/1179. Calculate the common denominator of l and (-2)\/6 + (-6)\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8829, -8820, -8807, -8790, -8769?\n\"Answer: 2*k**2 + 3*k - 8834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4*q = 4, 2*y = 5*y + 4*q + 3. Let p(h) be the second derivative of h**3\/3 - h**2\/2 - 2*h. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 >= -18\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 328*j**3*k**2 + j**3 - j*k**2 + 227*k**2 + 7*k wrt j?\nAnswer: 984*j**2*k**2 + 3*j**2 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-2)*u*u)**(-8\/11)\/(u\/(u*u**(4\/3))*u*u\/u**(-1)) assuming u is positive.\nAnswer: u**(-175\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1029, -0.4, 4\/7 in descending order.\nAnswer: 4\/7, -0.4, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2396 or -2395?\nAnswer: -2396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -197677\/401695 - -253\/499. Are 1 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 194105 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 56 + (3 - 5) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 17. Let v be ((-1)\/2)\/((-15)\/g). Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*x - 3. Suppose -2*i + 27 = -v - x*v, 6 = 3*i. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v + 16. Let o(u) = -u**3 + 5*u**2 - u + 7. Let g be o(5). Let w be -5 - (g - (-4)\/4). List the prime factors of j(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88826 is divided by 387?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, q: 1, s: 1, a: 1, w: 1}. Give prob of picking 1 j and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 5 + 3. Let l(q) = -s*q**2 + 16*q + 4*q**2 - 6*q**2 + 5*q**2 - 13. Let x be l(-17). Solve -y = -x*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 742 + -323. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 + 1246*r - 84528.\nAnswer: -(r - 1174)*(r - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and (171\/(-27))\/((3\/3)\/(-6)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-3 - (-11 + 12 + -6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 119.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10604393394 take away -0.1?\nAnswer: -10604393393.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1299, 3, 2 in decreasing order.\nAnswer: 1299, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 + -48. Let x = 16 + -15. Solve g = -p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 6, 8.\nAnswer: -4, 1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2263202 and 778.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 92\/138*((-2)\/10 + -1). What is the nearest to -2\/17 in -4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 85016, -4, 1 in decreasing order.\nAnswer: 85016, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 5*c**2 - c + 3. Let f be v(5). Let x be 3 - 4\/(-10)*(-30)\/(-6). Let m be 78\/(-13)*x\/f. Is m bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 8*g + 9. Let f be m(6). Let a(c) be the third derivative of -c**5\/60 - c**4\/12 - c**3\/2 + 50*c**2. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-286)\/(-39))\/(-11))\/(416\/72)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 345 - 517. Let s = b - 22. Let k = 193.9919 + s. Round k to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 11:03 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*y**2 - 5*y**3 + 13*y**2 - 2*y**3 + 0*y + 0*y + (3 + 4 - 5)*(-y**3 + 0*y**3 + 3*y**3).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6397607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5*h + 127. Let s be u(-25). Suppose -4*i = 4*q - 28, 0*i - s*i - q = -11. Solve -i*z - 3*k = -5, 2*z + 3*k = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/16411 + -1296489\/164110. Find the common denominator of -93\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 1068160.\nAnswer: 3204480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000917 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -19 + (-138 - -102).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24 or 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -915, -899, -883, -867?\n\"Answer: 16*k - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 67, 90, 111, 130, 147, 162, 175?\n\"Answer: -x**2 + 26*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 261*n + 2. Let k(x) = x**3 - 30*x**2 + 31*x - 20. Let d be k(29). Suppose d = -4*h + 42. What are the prime factors of q(h)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 5) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 461 is divided by 12\/(-15)*(10\/(-4))\/((-55)\/(-275))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 56129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**3\/7 + 92*s**2\/7 + 1216*s\/7 + 3520\/7 = 0. What is s?\nAnswer: -22, -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.8811 and -0.23?\nAnswer: 1.6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 n, 1 h, and 1 w when four letters picked without replacement from {w: 2, a: 1, p: 7, n: 2, h: 6}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, e: 2, h: 1}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 11, j: 1, q: 7}. Give prob of sequence jqu.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -401, -3, 395, 1.6 in ascending order.\nAnswer: -401, -3, 1.6, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3*281\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 2*u - 30, -2*c + 11*u + 35 = 6*u. Suppose -5 = -2*n + i, -n - 27*i = -25*i + 10. Sort n, c, 1, 3 in increasing order.\nAnswer: n, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*u + 13, -22*o + 20*o = 5*u + 19. Sort o, 0, 4, -209 in increasing order.\nAnswer: -209, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 672*s + 3335. Let d be x(-5). Solve d = -30*u + 25*u - 15, 0 = -3*z + 3*u - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5*(sqrt(500) - -5*-2*sqrt(500))*-3 + 3)**2.\nAnswer: 10800*sqrt(5) + 9112516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/55 and 151\/6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express n**3 - n + 8*n**2 + 17*n**4 + n**3 - 9*n**2 in the form b*n**3 + k*n + p*n**2 + r*n**4 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**3*o*p + 5*i**3*p**3 + i**3*p - 29*i**2*o*p**3 + 4*i*o*p**2 + 2*p wrt p?\nAnswer: 30*i**3 - 174*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 40. Suppose 6 = -5*y + r. Factor 5*z**y - 4*z**4 + z**3 + z**3.\nAnswer: z**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -15. Let z = -55 - p. Let l = z - -25.4. What is the second smallest value in l, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -14  (b) 0.04  (c) -19  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = 2*h - 3*t, -4*h + t = 8 + 157. Let f be 3\/24 - h\/(-8). Let v = 3 + -2. Sort f, -9, v in descending order.\nAnswer: v, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 602 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -831.4, -3\/8, 2\/11, -108 in decreasing order.\nAnswer: 2\/11, -3\/8, -108, -831.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 is divided by 63\/28 + (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 65126\/13 or 5011?\nAnswer: 65126\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9797567543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4068 - 4038 = 3*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -76818 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 496601126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2072135 + -1?\nAnswer: -2072136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*r - 5*w - 120, 2*r = -5*w - 262 + 150 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1749, -3196, -4643, -6090, -7537?\n\"Answer: -1447*j - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4169 + -621177\/149. Let q = k - -415\/1192. Let v = -1.1 + 1.5. What is the second smallest value in v, q, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10836 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*i + 4*y, 4*i - 49 = -i - 3*y. Calculate the remainder when 23 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 4  (b) -276  (c) -3  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2132926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 6 + 18 = -4*h, 0 = 3*h + l + 22. Let g be (-4)\/(-14) + (-47)\/h. Solve 0 = q + 2*q - 5*r - g, -13 = 3*q + 5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 7*k + 0*k - 2*k - 4 + 0*k. What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 548411448 to the nearest integer?\nAnswer: 23418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 733*t + 9 = 857*t - 239 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 66 = n. Let d = 35 + n. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qam when three letters picked without replacement from {f: 3, a: 2, w: 1, r: 4, q: 1, m: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 506.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 108144447 to the nearest integer?\nAnswer: 10399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + m**2 + 1. Let o(l) = l**2 - l - 3. Let h be o(2). Let g(w) = 4*w**3 + 3*w**2 + w + 3. Determine h*g(t) + 3*j(t).\nAnswer: -t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11*s**3 + 17*s**2 - 8*s + 10. Let z(w) = 4*w**3 + 6*w**2 - 3*w + 3. Let g(r) = 3*y(r) - 8*z(r). Let q(m) = -3*m**2 - 5. Determine 3*g(d) + 4*q(d).\nAnswer: 3*d**3 - 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + 1. Let o = s + 0. What is the third derivative of 5*a**6 - o*a**6 - a**2 - a**6 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3003 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 63*v + 1075. Calculate the remainder when 7407 is divided by z(28).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80, 26, 11, -1, -46 in ascending order.\nAnswer: -80, -46, -1, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 181981540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -3*l - 27. Let z be h(-10). Let a(i) = 11*i**3 + i. Let p be a(1). Let y = p - 10. Solve -z*q - y = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -15 and -0.567.\nAnswer: 8.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-25)*(2\/4)\/((1501\/(-19))\/3160)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 12:15 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(6\/5)\/z)\/z**(-4\/5)*(z\/(z*z*z*z**2))\/(z\/z**(1\/8)) assuming z is positive.\nAnswer: z**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -913.8 - -902. Let i = -12.2 - r. Which is the closest to 1?  (a) i  (b) -15  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.2  (b) -228  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 165 and 1705.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1336)\/204 - (35772\/(-1122) - -32).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 0.5  (c) -1\/4  (d) 9\/3610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2522 = 6*o - f, 0 = -4*o + 2*f + 2524. Find the common denominator of (-12)\/21 + 4595\/o and 1*70\/(-16) + 1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 4*b + 4. Suppose 0 = y + 2*y + 24. What is the hundreds digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 2*q. Let n(y) be the first derivative of -6 - 1\/4*y**4 - 1\/2*y**2 + y + 0*y**3. Determine -2*n(d) - u(d).\nAnswer: 3*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 48 + -46 - (0 - (2 + -7)). Let l be (-31)\/(-155) - 1\/(5\/x). Determine p so that -l*p**5 + 0*p**4 + 0*p**2 + 0*p + 0*p**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -5, -9, -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11052 - 13?\nAnswer: 11037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**2 - 9*s + 6. Suppose -j + 137*d + 4 = 135*d, 16 = 4*j - 4*d. Give k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 264102*x - 36289*x - 5 + 5.\nAnswer: 227813*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + g - 1. Let t(n) = -n**2 - n + 4. Let o be -1*(-3 - (0 + -2))\/(-1). What is o*t(q) - 2*v(q)?\nAnswer: 3*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 1 = -o, 3*o - 2*b - b - 3 = 0. Which is greater: o or 1\/16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46043 is divided by 253.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2979, 23892, 80659, 191208, 373467, 645364, 1024827, 1529784?\nAnswer: 2178163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 400 (base 7) to base 8.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 13, n: 3}. Give prob of sequence nnun.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -280\/39, -0.2?\nAnswer: -280\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, -5.5, 4, -5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5608 + 8*l**2 - 5608. Let r(h) = -3*h. Determine r(i(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -97191590.1213 and -0.71.\nAnswer: -97191590.8313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-6) - 5\/15) + (-1333)\/(-258)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3*u**2 + 355*u - 259. Calculate the remainder when g(-122) is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**2 + u**2 - u**2 + (3*u + 6 - 6)*(-100*u + 79*u + 109*u + (-2 - 1 + 2)*(0*u + 2*u - 4*u)).\nAnswer: 268*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - 6*n**2 + n - 210. Calculate the remainder when 218 is divided by g(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -8  (c) 2  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42170178*z**3 - 2*z**2 - 20645345*z - 16?\nAnswer: -253021068*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - ((-680)\/(-306) - (-1)\/18*-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + z = 74, -9*g + 14*g + 5*z - 253 = 12*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 11853.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9390559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**2 - 2*w + w**2 - 6*w + 3*w to the form x*w**2 + t*w + d and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 451 + 55?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 68, 67, 66, 65?\n\"Answer: -z + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 5*r**2 + 2*r + 2. Let d(n) = n**3 + 5*n**2 + n + 3. What is 2*d(i) - 3*w(i)?\nAnswer: 2*i**3 - 5*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101, 97, 93, 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5 + 2*1\/(-2). Let z(y) be the first derivative of -3*y**2 - 42 - 4*y - 1\/3*y**3. Determine z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -207757*n**4 - 5*n**3 - 3*n**2 - 218629 wrt n.\nAnswer: -4986168*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231*f + 352*f = -10*f - 42696 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -4. Let p be (2 - i)\/(4 - 6). Suppose q - 6790 = -p*t - q, q = -2*t + 6795. What is t rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 + -2.2. Let j = 0.777 + -4.777. Which is the nearest to -2\/7?  (a) j  (b) -0.4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 48741, 47379, 45119, 41967, 37929, 33011?\n\"Answer: j**3 - 455*j**2 - 4*j + 49199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -1, 27 in increasing order.\nAnswer: -5, -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3585426819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h. Let o be 1 + 3\/3*1. Let u(g) = 14*g**2 - 2*g - 1. Let b be u(o). Let y(f) = -54*f**2 - b*f**2 + 108*f**2. Determine y(z(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, p: 3, k: 4}. What is prob of picking 3 p?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.026928 to 4 decimal places.\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 + (-578)\/(-18) - (-250)\/(-225). Solve -i - 4 = 0, p - j*i = -21*i + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1805 or -1804?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of 14*j**6 + 45*j**2\/2 + 134*j + 2. Find the first derivative of q(a) wrt a.\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 415 divide 141432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 - 4 = -5*s. Suppose -5*r + s + 63 = 0. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - -19. Let v(b) = 105*b + 1. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 0.357, -3 in descending order.\nAnswer: 36, 0.357, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7\/(21\/135) - 0 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.913 - -0.087. Let n = 6323.99925 - 6317. Let h = n - b. What is h rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/7)\/(-88)*3828\/696.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -2. Suppose 12 = k + k. Let u = k - l. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -47, -50, -53?\n\"Answer: -3*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2758360 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 3. Let o = 0.6 - -2.4. Which is the nearest to -1\/3?  (a) d  (b) -1\/4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2175858, 4351714, 6527570, 8703426, 10879282?\nAnswer: 13055138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b - 1. Let w(d) = d**2 - 6*d + 2. Let o be w(4). Let z = o - -4. What is the units digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 15 = -3*b - 2*q, -18 = -5*b - q. Let v(x) = 2*x + 3. Let a(p) = -p - 3. Suppose 3*l - 5 = 7. Let s(k) = l*v(k) + 5*a(k). Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 174ea7 (base 16) to base 10.\nAnswer: 1527463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(7) + -1 + 0)**2 + 1*((sqrt(1008) + 3)**2 + sqrt(7)) + -1.\nAnswer: 71*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16 + 32206245?\nAnswer: 32206226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52589684 and 508.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 41 + -30?\nAnswer: 11","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) 0  (c) 97  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -19, -1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 8584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4669 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1111, 0, -0.02, 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/28 - 1\/7. Let f(u) = -u**3 + u**2 + u. What is f(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -88.6 - -14.6. Let q = d - -74. Put -0.2, q, 0.23 in increasing order.\nAnswer: -0.2, q, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -521.5 + 522. Let x = -2.3 - 0.7. Let p = 92 - 89. Which is the closest to 0.1?  (a) p  (b) x  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 36 = 2*m. Let b be 6*(5 + -1 + 1). What is the remainder when 12\/(3\/6 - b\/80) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 100*o**3 + 3*o**2 + 9*o - 11. Let i be u(1). Let m = -227 - -399. Let h = m - i. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ono. Give prob of sequence on.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1307 + 1305. What is the closest to t in 3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (21\/2)\/((-1377)\/(-918)). Do -344 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {b: 2, o: 10, c: 3, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence livv when four letters picked without replacement from lvvvifvvlwvf.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y**3 - y + 1. Let z be x(1). Suppose 2*v - z*v = -5*m + 417, 5*m + 2*v - 397 = 0. Is (-18)\/m + 1145\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/170 and -51\/4.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -32, -164, -514, -1190, -2300, -3952?\n\"Answer: -18*p**3 - p**2 - 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84924, 84932, 84938, 84942, 84944, 84944, 84942?\nAnswer: 84938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 + 0.03. Let t = 0.35 - r. Let x = -0.6 + t. What is the second biggest value in x, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 211, -5 in increasing order.\nAnswer: -5, 2, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1)*l*l\/(l**6*l*l))**(2\/35) assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 583*z**3 - 280*z**3 - 302*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 2:24 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1786*c + 1784*c = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 7, 18, 33, 52, 75?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.8 - -1.7. Let z = s + -9. Let x = 5 + z. What is the biggest value in 1\/7, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 66 + 102. Let j = 59 - v. Suppose 29 + 172 = j*n. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of 0 + 1\/20*a**6 + 0*a**4 + 0*a**3 + 0*a + 1\/20*a**5 + 4*a**2. What is the third derivative of z(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, d: 4, e: 7}. What is prob of picking 1 d, 2 a, and 1 e?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/2*(0 + 0). Let a be -2 + 12\/(2\/1). Let d be a + 2 - 2 - -1. Solve 4*h + h + d = l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8714 times -1?\nAnswer: -8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -90715056\nAnswer: -1\/90715056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 2*r**3\/3 - 177*r**2\/2 + 381. Let p(k) = 2*k**2. What is t(p(o))?\nAnswer: 8*o**4 - 354*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 248*t - 55. Let s(p) = 496*p - 97. What is -7*f(u) + 4*s(u)?\nAnswer: 248*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3572271364231 and 0.5.\nAnswer: 3572271364231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x. Let p be l(-3). Let q(w) = 2*w + 8. Let a be q(-9). Let c be ((-16)\/a)\/(4\/10). Solve -v + c*v = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 3*p + 5. Suppose -37*z - 12 = 173. Determine a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/35952227 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 5*k - 26 = 31 + 38, -k - 6 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5578070 divided by -1115614.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 28 and 12422.2.\nAnswer: 12450.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*l - 3 = 63*l - 29*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4098897*b**2*p*z**2 + 1681*b**2*p*z - 4*b**2*z - 2*b*p + 8*b - p wrt z?\nAnswer: 8197794*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10604356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -18485257 rounded to the nearest ten thousand?\nAnswer: -18490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*h - 10. Let w = h - 6. Let n(b) = -10*b**3 + 4*b**2 + 2*b - 13. Let f(t) = -7*t**3 + 3*t**2 + t - 9. Let m(a) = 7*f(a) - 5*n(a). What is m(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 16 = -20. Solve 2*m - y = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4464915.3 rounded to the nearest one thousand?\nAnswer: 4465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c**2 + 9085*c - 3352650 = 0. Calculate c.\nAnswer: 515, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 > 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r*u**3*x**2 - r*u**2*x**3 - r*u**2*x**2 - 52*r*u*x**3 - 303*r*u*x**2 + 25*u**3*x**3 - 5*x wrt x?\nAnswer: -6*r*u**2 - 312*r*u + 150*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 8\/17  (b) -2  (c) 366  (d) 1\/4  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -617 + 617. Suppose 0 = -3*p - 3, -4*p + k*p = 3*a - 8. Determine r so that -5\/3*r**3 - 5\/6*r**2 + 5\/6*r**a + 5\/3*r + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 10*l - 33. Let j be n(6). Let o = 57 + j. What is the lowest common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 15*p - 48. What is i(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*k**2 + 47*k**2 + 55*k**2 + 48*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - y**2 + 4*y + 6. Let s be j(-4). Suppose -2 = -3*p + 4*a + s, -4*a = 3*p - 32. Solve 5*q + p = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009069 rounded to five dps?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -432272095 bigger than -432272095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, -690, 1\/10419?\nAnswer: 1\/10419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003466121 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6539, 13036, 19555, 26096?\nAnswer: 32659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of -10*a**3\/3 - a**2 - a - 549. Suppose -7 = 4*q + 1. Let l(w) = 2*w + 3. Let r be l(q). What is p(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/((-138)\/23))\/((-7)\/(-5)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -5*o - 20, 0 = -3*o + 3*x - 298 + 304 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(78)\/((sqrt(240)\/sqrt(4))\/sqrt(10))*6 + 5).\nAnswer: -12*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-85)\/(-4 - 1)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -10*g**3\/3 - 5*g**2\/2 - 3*g. Find the first derivative of x(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 809760234 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 485*o - 2. Let q(t) = -t**2 + 2*t - 3. Let d(n) = -11*n**2 + 18*n - 27. Let a(w) = 2*d(w) - 18*q(w). Give u(a(g)).\nAnswer: -1940*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 greater than 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, l: 5, v: 1, i: 3, c: 1}. What is prob of sequence xli?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t + 262. Let n(z) = 8*z + 523. Let v(c) = 3*n(c) - 5*x(c). Let m = 0 - 0. Is v(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-15))\/((-18)\/(-15)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4253684468.\nAnswer: 2, 11, 31, 3118537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d = 2*h + 4*d + 8, -2*h = 5*d - 32. Suppose 50 = h*o - o. Does 8 divide -2 + (1*o)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65 + 67. Suppose 3*b = -k - 2*b - 19, -2*k + 10 = -2*b. Let g(w) = 5*w - 1. Let x be g(k). Solve -m*r = 5*l + 11, -l + x*l = -r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 2*i**2 - 7*i - 4. What is x(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -756\/17 at most as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -160 - -169. Calculate the remainder when 7 is divided by 1 + 3*15\/h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1204*i**4 - 5743*i**3 - 9*i**2 - 1983*i + 1043.\nAnswer: -14448*i**2 - 34458*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2300*y**2 - 5 + 2 + 236*y**2.\nAnswer: 2536*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -4*g - 19, -4*t - 8 - 4 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279435 is divided by 3128?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 35*k - 388. Calculate l(16).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1092 is divided by 181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uffr when four letters picked without replacement from {r: 4, f: 4, u: 11}.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((39 - 13 + 31)*(-2*o + 0*o - o) + (2 + 8 - 5)*(2*o + o - o))*(1 - 3 + 3).\nAnswer: -161*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -512 divided by 4074\nAnswer: -256\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 2*p. Let m be p - ((-1)\/(-1) + -1). Solve m = -w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 46, 103, 192, 319, 490?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 + 0)\/(0 + 3\/(-6)). Let o be 32\/(-6)*(-18)\/b. Suppose -2*v - o = -8*v. Solve 2*s + 4 = -v*z, 0 = -3*z + 4 - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 4*i**2 + 0*i**2)*(-6 + 5716*i - 5669*i + 2).\nAnswer: -94*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40 + 0*(-2)\/(-2). Let q be c\/42 + 4\/(-6). Let g = 11 + -11. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 + 4*k**3 - 5*k**3)*(2*k**2 + 4 - 4) + (-10*k - 881 + 881)*(0*k**4 - k**4 + 2*k**4).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 257*w - 19?\nAnswer: 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 10 + 3*u + 6*u**2 + 0*u**2 + u - 2*u. Let j be d(-5). Suppose 4*l = 2*z - 44, -j*z + 5*l + 110 = -0*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/9)\/(z*z**(3\/22)))**8 assuming z is positive.\nAnswer: z**(-1076\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/8)\/(2\/(-16)). Let n be 2\/i - (-21)\/9. Suppose 5*f - 5*k - 28 = f, -4*f + n*k = -16. Solve -3*l - f*l - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-6) + (-49)\/(-21) + -1. Calculate the greatest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 13*t + 9846 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - 10 - -4 - -5. Suppose c*u - 25 = -3*u. Solve 0 = -4*d - 3*h + 1, -u*d + 4*d = 2*h - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 2, 7*r = 2*r + 5*b + 5. Solve n - 4*w - 16 + 3 = 0, r = -2*n - 3*w - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 + q - 1. Let k(j) = 5*j**2 - 6*j + 6. Calculate k(y) + 6*l(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 75\/11 - 386\/55. What is the biggest value in 0.2, z, -2.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -59, -269, -623, -1121, -1763, -2549, -3479?\n\"Answer: -72*d**2 + 6*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8898 and 249?\nAnswer: 738534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-3)*(-6)\/4. Suppose 0 = -a - v + 4. Suppose 0*z = -z + a. Calculate the highest common factor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 5:00 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 35 - (-100 - (23 - -17 - 17))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 1, 3*s = -2*r - 2*r - 5. Let z = -7 - -4. Let l be (-5 - -8)\/(z\/2). Put s, l, 1 in increasing order.\nAnswer: s, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a millisecond in microseconds?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 2*p**2 - p - 1. Let q be (-8)\/3*(-3)\/4. Let x be i(q). What is the smallest common multiple of 12 and -2 + x + 39\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -89, -79, -65, -47, -25, 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -11, 21, 1, 9174 in decreasing order.\nAnswer: 9174, 21, 5, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 9*r**2 - 2889*r - 8650. What is n(-3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1366 - -2085. List the prime factors of o.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 180 = -5*x. Suppose 6*s = 12*s - x. Determine z so that 3*z - 23*z - 5*z**3 - 10*z**2 - s*z**2 - 4*z**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -3, 4, -5, -2.\nAnswer: -7, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + 8 - 2 - -32 - (-1 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v + 8*v**3 - 13*v**3 - 6*v**2 + 18*v**2 + 6*v**3 - 9. Let p be f(-12). Factor 17*i**2 - i**p - 5*i + i**3 - 21*i**2 - i**3 - 2.\nAnswer: -(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3\/5 - 160*w**2 - 4692*w\/5 - 6984\/5.\nAnswer: -4*(w + 3)**2*(w + 194)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -73 + 256*o - 542*o + 278*o in the form w*o + k and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*r**5 + 2*r**4 + 594*r**3 - r**2 - 2*r - 9083 wrt r.\nAnswer: -480*r**2 + 48*r + 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-10) - (-1)\/(-2). Let u(k) = -5*k**2. Calculate u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 822 and 199 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 0*r + 4*r - 10 + 2*r - r + r + (1 + 2 - 1)*(3 + 2*r - 3))*(-2*r**2 + 0*r + 0*r).\nAnswer: -14*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 146\/4 + 150\/(-25) and -151\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 15 = 9*r. Suppose 0*m + 4*w + 12 = m, -4*m + 26 = -5*w. Suppose -8 = 4*g, r*t + 15 = -m*g - 13. What is the second biggest value in -0.3, 4, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 117.65976 and -19?\nAnswer: -2235.53544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of w**4\/3 + 4*w**3\/3 + 2*w**2 + 25*w. Factor t(m).\nAnswer: 4*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29610*j**2 + 26*j - 1297 wrt j?\nAnswer: 59220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) 1\/4  (c) 126\/6221  (d) 4\/5  (e) 0.3  (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*w**4 - 8295000*w**3 - 2*w**2 - 161028613.\nAnswer: 8*w**3 - 24885000*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 386764 divided by -14.\nAnswer: -27626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 7*p**6\/60 - p**4\/6 - 3*p**3\/2 - 22*p**2. Let s be c(4). Let z = s + -609. What is the lowest common multiple of z and 12?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -27*v + 7143. Let i(z) = 5*z - 1428. Determine -11*i(w) - 2*x(w).\nAnswer: -w + 1422","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2074 and -32217.\nAnswer: -6681.8058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 34156363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 3:00 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 1003088988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*g + 2 - 7 = -16*g. Sort g, 4, 293 in decreasing order.\nAnswer: 293, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f**2 + 48*f - 1. Give w(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 h, and 1 x when four letters picked without replacement from {h: 2, x: 1, w: 2, f: 1, q: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.51 + 2.4. Let j = 10\/23 + -4\/115. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 14\/(-2 - -3) + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13830647.\nAnswer: 233, 59359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - b = -61, -3*b = 3*z + 2*z - 63. Suppose 4*v = -0*v + z. Suppose -2*r - 8 + 82 = -v*u, -5*r - 3*u = -143. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2007 - 1?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2 + 14 = 0. Suppose -s*v = v - 4. Suppose -10 = -w - 2*r + v, 3*w - 2*r - 17 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/2*(-7)\/((-2618)\/(-17)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10098, -40398, -90898, -161598, -252498, -363598?\nAnswer: -494898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2810*m + 2790370. Give d(-993).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 41013, 82021, 123029, 164037, 205045?\n\"Answer: 41008*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49657837.\nAnswer: 929, 53453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6825\/(-378))\/(-5)*3 - (-15)\/(-18). Let p be 40\/(2\/(-6)*-2). Solve -g*s + p = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oiomiuoricuocui. Give prob of picking 1 c and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - -3. Suppose -3*u + k = 0, -5*i + 3*u + 1 = -0*u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2736346 and -0.002.\nAnswer: 2736345.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {v: 2, t: 3, g: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 943517.9 tonnes in milligrams?\nAnswer: 943517900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - (1 + 5 + -11 + 26 + -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/4256171 and -43\/1120045.\nAnswer: 21280855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, v: 2, s: 1}. What is prob of sequence vsj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 2ab2a3a?\nAnswer: -2ab2a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4555 + -952. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 2:22 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -1  (c) -5  (d) 221681  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3, -79, 4, -4, -1\/6 in descending order.\nAnswer: 4, -0.1, -1\/6, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 8:16 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -1. Let m be (j\/4 + 0)*0. Suppose -k + m*k = -5. Which is the closest to -1\/2?  (a) k  (b) 1\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20231.\nAnswer: 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + (-1 - (-2 + 3)). Solve 0 = -l*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -171, -0.8, 1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4085550 by -3891.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-50))\/((-3)\/(60\/16))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.4 - 0.6. Let x be 56\/(-65) + 4\/10. What is the smallest value in 3\/5, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 17, 16, 15, 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -33492 greater than or equal to -33493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 7*d**4\/12 + 2*d**3\/3 + 34*d**2 + 132*d. What are the prime factors of z(-7)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**7\/70 + n**3\/3 - 7*n**2 - 10*n. Let x(h) be the first derivative of j(h). Differentiate x(p) with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -256.9 + 246. Let k = r + 10.90000118. What is k rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 1\/5*a**2 + 1\/10*a**3 - 2*a + 50 + 1\/60*a**4. What is j in y(j) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -6*c - 17. Let l be x(-6). Determine b, given that 16*b - 4*b**3 + 5*b**4 + l*b**3 - 11*b + 15*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2 + 0*n**2 + n**2 + 8 - n**3. Suppose -2*m + 2*g - 10 = 0, -m - 5*g + 2 = -23. Calculate the smallest common multiple of 8 and d(m).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -438371 + 9?\nAnswer: -438366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 3:47 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6756417ml in litres?\nAnswer: 0.0006756417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 24*j. Let g(f) = 34982*f. Determine h(g(w)).\nAnswer: 839568*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -6 + 8. Let x be -6*((-2)\/(-9) + (-63)\/162). Calculate the greatest common factor of x and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-3 - (-1 + 0 - (0 + -1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 15 - (9 + -16)) + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 7*x - 2*x = 22, x = 4*t - 10. Let j be 1\/((t - 1)\/2). What is the closest to j in 5, -7\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b + 642 = -888. Is b at most -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -5\/2, 1\/5, 0.16 in decreasing order.\nAnswer: 1\/5, 0.16, -1, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -4*u - 1990, -2*x + 0*x = -2*u - 992. Let o be (-45)\/2*132\/9. Let v = o - u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3990, 4206, 4422, 4638, 4854?\n\"Answer: 216*o + 3774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 462862?\nAnswer: 2, 231431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3144\/5*m - 2\/15*m**2 - 3706776\/5.\nAnswer: -2*(m + 2358)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 11. What is the remainder when 31 is divided by b(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 13*z**2 + 16*z + 11. Determine m(-9).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*w + 3*w - 10 + 13*w**3 + 8 + w**3 + 20*w**2 + 2*w in the form x*w**2 + c*w + p + t*w**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 2937*j - 2934.\nAnswer: -3*(j + 1)*(j + 978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4573, -9076, -13577, -18076, -22573, -27068, -31561?\nAnswer: -36052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 24 = -6*y. Let h be (-6)\/2 + 8\/4. Sort -42, y, -5, h in increasing order.\nAnswer: -42, -5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30\/(-45)*(-171)\/6. Find the second derivative of -56*i**4 + 8*i**4 + j*i**4 + 30*i wrt i.\nAnswer: -348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fyfyffffyffyfffyff?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -851 + 877. Calculate the highest common divisor of i and 1014.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -359\/5  (b) 1  (c) -4\/729  (d) 0.058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 7*o. Let q be g(1). Suppose 3*b - 13 = 4*n, 0 = -4*n + 4*b - 0*b - 12. Let a = n + q. Solve -m = -4*t + 18, -6 = -2*t - a*m + 5*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 15, 5, -2 in ascending order.\nAnswer: -2, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwlpwwd. What is prob of sequence pd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/10, 1\/9, 16, -2, 0.5, 11080 in ascending order.\nAnswer: -2, -1\/10, 1\/9, 0.5, 16, 11080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*w + 0*w - w + (-9 + 0 - 2)*(317 - 317 + 29*w).\nAnswer: -314*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 213*g + 1852 = 1639. What is the biggest value in -28, g, -1\/2, 0, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 10:43 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43609477 divided by 2.\nAnswer: -43609477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30678262 and 5.\nAnswer: 153391310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10631 = 602*x + 778*x - 10629 + 46918 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 57. Let p = -21 + s. Suppose -p - 6 = -6*m. Solve m*x + 6*d - 2*d + 8 = 0, 0 = -x - d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-64)\/60 + (-2)\/(-5). Let j = 20770.4 + -20770. Which is the fourth smallest value?  (a) -4  (b) j  (c) p  (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*x + 18*x + 14. Solve -5*p + x*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -1.62898?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 446834025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -11 - -10 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 308*n = 312*n + 388, -4*g - 4*n = -452. Calculate the smallest common multiple of 47 and g.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66255 is divided by 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/14*42\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*l + 1324 = -2476. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**7)**(-2)*(m\/m**13*m)**(6\/13) assuming m is positive.\nAnswer: m**(-248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -61274a?\nAnswer: 61274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-25) + 306\/(-10). Let f = 27 + p. Let r = 1 - 2. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 95 and 1945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of r**8\/84 + r**4\/8 + r**2\/2 + 1. Let q(s) be the second derivative of z(s). What is the second derivative of q(t) wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2500*l**3*v*w + l**3 + 20*l*v*w**2 + l*v + 16*v + 790 wrt w.\nAnswer: -2500*l**3*v + 40*l*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 478621 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k + 3. What is the least common multiple of 8 and x(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 - (4 - 1))*-7. Let w = -13 - -15. What is the units digit of (i - -12) + -4 + w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85947.\nAnswer: 3, 28649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 34*t - 14. Let y(x) = -16*x + 6. Let o(l) = 3*r(l) + 7*y(l). Let k(m) = -m - 1. Let s be k(-3). Let d(b) = 3*b**2 - 2*b**s + 0*b**2. Give d(o(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -7*w + 1. Let m be f(-1). Let s = -30 - -28. Is m <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -131.74 + 2.74. Let c = 2739.8 + -2739.8. Is h at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*d + 78 - 49 - 269 - 32.\nAnswer: 37*d - 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-9) - 44\/(-132)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -9*h. Let n(u) = -23*u. Calculate w(n(o)).\nAnswer: 207*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10.6 and 4.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s + 0*s + s)*(5*s - 4*s - 2*s)*(3 - 3 - 2*s**2) to f*s**4 + p*s**3 + c*s + y + b*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4597 greater than -10519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x. Let n(w) = 9309*w. What is l(n(p))?\nAnswer: 18618*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 422*g + 380951*g**2 - 380951*g**2 - 285*g**3 - 2 wrt g?\nAnswer: -1710*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*-6 - 7\/((-182)\/234)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4069543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from sissyyzsxsxsius?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3.306384 * -2.1\nAnswer: -6.9434064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4*w - 60 = 0, -16*w = -11*w. Calculate the remainder when -1*(-2)\/(-1) + 62 is divided by (200\/(-32) + 8)*f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-5 - (-91)\/14). Let m(j) = -j**2 + 9*j. Give m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/848 and 39\/160?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 34 = 34. Suppose t = -s + 4*s. Solve s = -2*f + 3*y + 3, -3*y + 4*y = -f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 2*v**2 - 5 + 6*v**2 + 2*v**2 - 8*v + 6*v. Does 11 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 703, 1543, 2943, 4903, 7423?\nAnswer: 10503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-18) + (-10)\/3. Let g(l) = -3*l. Calculate g(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7\/18 + 113\/198. What is the nearest to 0 in -2, c, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4859 is divided by 1588.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185261852 + 185261852 + 4192*n.\nAnswer: 4192*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - 12*((-2464)\/(-3234))\/(4\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/32345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iouu. What is prob of sequence ui?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h - 20. Let c be g(-10). Suppose -3*b + c*b + s + 1216 = 0, 2*b = 5*s + 789. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.47 - 1.5. Suppose -y - 3*y + 8 = 0. Let g = -7 + y. Which is the smallest value?  (a) j  (b) g  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3577\/(-2190) + -4*(-57)\/152?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -221*q + 457*q - 245*q. Let o(g) = 13*g**2 + 11*g. What is z(o(l))?\nAnswer: -117*l**2 - 99*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23588018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + u + 1. Let f(o) = -o**2. Let j be -1 + (-3 - -4 - 2). Give j*i(k) + 5*f(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.26 - -0.36. Let m = 3 + u. Let v = 4.9 + m. Which is the second biggest value?  (a) -2\/3  (b) v  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1156 divided by 34.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 11*s - 77. Let f be c(12). Let d = -43 + f. Suppose 3 = d*h - 9. Solve 5 = 3*j - h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -1977.8?\nAnswer: -1977.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 13*a**3 - 11*a**2 - 14*a + 1. Let c(o) = 6*o**3 - 5*o**2 - 7*o. Let b be 5\/(-2)*8\/(-5). Let n(g) = b*v(g) - 9*c(g). What is the tens digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is df - -4c?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 7*p**2 - 66*p + 10. Let j be y(-6). Let r = j - -351. What are the prime factors of r?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -334*g**2 - 322*g**2 - 826*g**2 - 318*g**2 + 1800*g**2 + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 3*q, 4 + 4 = 4*q. What is the derivative of -5 - 3 + 2 - k*g**2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*m + 14, 4*m - 2*b + 4*b = -4. Let q be -74 + 6\/(6\/m). Let x = 165 + q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4817, 9633, 14449, 19265, 24081?\nAnswer: 28897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**5 + 236*v**4 - 1320*v**3 + 2576*v**2 - 1696*v.\nAnswer: -4*v*(v - 53)*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49081351439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*f + 9*f = -1071. Suppose -3 = 62*j - f*j. What is the second biggest value in j, -0.097, -0.5?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*m + 3. What is the units digit of m\/(-4)*(-64)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 + 8*s + 2. Let d be t(-3). Let r(m) = m**2 + 4*m + 3. Let l be r(d). Suppose -2*g = l*f - 233, -2*f + f + 106 = -5*g. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3 = l, l + 5*g = -4*l - 15. Let z(v) = -v**3 - 3*v**2 + 2*v + 4. Determine z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 89218948*m**3*t**2 + 54952*m**3 + 107*t wrt t?\nAnswer: 178437896*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-8)\/(-12)*9*1 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145*x + 633 = -89*x - 823. Suppose 4*g - t - 68 = 3*t, 3*g - 43 = t. Calculate the highest common divisor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1054981, 1054943, 1054879, 1054777, 1054625, 1054411?\nAnswer: 1054123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrppppzprpreprep. What is prob of sequence zrer?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 8*g + 2. Let k be f(3). Solve 0 = -5*a - 3*z - 21 + 4, k*a + 4*z + 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 60*c**4 + c + 270*c**3 - 536*c**3 + 265*c**3 to k*c**2 + u + t*c**4 + j*c**3 + v*c and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4102 + 8282. What are the prime factors of b?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/((-320)\/15) + 6306\/(-48). Which is smaller: -130 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -34. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(1377) + -1*sqrt(1377) + sqrt(1377))**2 - (0 + sqrt(1377))*5.\nAnswer: -4131 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2108*d = 2098*d + 250 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -755 + 758. Let u(m) be the first derivative of -w*m**3 + 9\/5*m**5 - 3*m**2 + 3\/2*m**4 - 6 + 0*m. Let u(s) = 0. What is s?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.13 - 13.1. Let q be ((-4)\/3)\/4*-1. What is the nearest to q in 2\/9, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (782 - 781) + -2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 176*v - 920. Calculate the lowest common multiple of g(10) and 14.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -131151577.\nAnswer: -262303154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1281 divided by 427.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1332 = -3*n + 2*j, -703 = -3*n - 2*j + 641. Let z = -453 + n. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/3))**(2\/9)\/((f**0*f)\/f**(-1))*((f*(f\/f**(-2))\/f)\/(f**(1\/4)*f))\/(f**(4\/5)*f\/(f**(-3\/4)\/f*f)) assuming f is positive.\nAnswer: f**(-328\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*t - 67*t = 2864. Calculate the remainder when t is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 41637266.3 to the nearest 100000.\nAnswer: 41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*c**2*p**3 - 4600*c**2*p**2 - 42*c*p**3 - 27*c - p**3 - 2 wrt c?\nAnswer: 52*p**3 - 9200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 262375 * 531.\nAnswer: 139321125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2129895, 2130105, 2130315, 2130525, 2130735, 2130945?\n\"Answer: 210*a + 2129685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 129, 201, 271, 339?\n\"Answer: -r**2 + 75*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15680 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(363))*-3*5 - ((sqrt(3)*-1)**2 + 5 - sqrt(33)\/(sqrt(11) + 2*sqrt(11))))*5.\nAnswer: -2470*sqrt(3)\/3 - 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 7*f - 12*f - 7 - 2*f - 5*f**2 + 39*f**2. Let y(p) = 17*p**2 - 4*p - 4. What is 4*b(j) - 7*y(j)?\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2 + 333*t + 330 = 0. Calculate t.\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 18. Suppose -5*g = 2*v - 18, 3*v + 3*g - w = -0*g. Let j = -2 + 0. Sort j, v, -3 in descending order.\nAnswer: v, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/30 and -41\/1608.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 294942211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000263398336 to six decimal places.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**25\/z)*z)\/z)**6)**(-2) assuming z is positive.\nAnswer: z**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000062293 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -3*w**4 + 6*w**3 + 129*w**2 + 120*w = 0.\nAnswer: -5, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -k**7\/8820 - k**6\/2520 - 5*k**4\/12 + 9*k. Let x(l) be the third derivative of o(l). Factor x(u).\nAnswer: -2*u*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 + -48. Let x(p) = -p - 3. Let t be x(0). Put b, 3, t in increasing order.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*r**3 + 0*r - r**4 + r - 47*r**3 in the form s + j*r**2 + z*r**3 + h*r + n*r**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*((-117)\/594)\/13*-3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29.9 - 9.1. Let f = s - 89. Let t = f + 128.00000126. What is t rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(-6))\/(4\/(-18)). Suppose o*c = -6, 29 = 5*u + 3*c - 95. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 30 = -3*w, 8*w + 47*s + 14 = 49*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2987019569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 3*q**2 + 980*q - 4862. Give j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1140379 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53924137 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1210078 + 4840315\/4. Suppose -8 = 4*u, 0*k + 2*k - 4*u - 14 = 0. Factor -3\/2*r**2 - 3\/4*r**k + f*r + 3\/2.\nAnswer: -3*(r - 1)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3*l**4\/4 - 435*l**3 + 47457*l**2\/2 - 351915*l + 1314483\/4 = 0.\nAnswer: 1, 29, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2 + 3 - h + 1. Suppose 12 = b - 2*b + 2*f, 8 = -4*b - 2*f. Let o(t) = -t**2 - 5*t + 2. Let k be o(b). Let a(g) = 1. Calculate k*a(y) - j(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/15946238 and -111\/57218854.\nAnswer: 972720518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -700, -696, -690, -682?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -88 + 111. Let t = -7 + 37. Let j = a + t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 34. What is the remainder when 52 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -592 - -1266. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 3 - 3 + (839*h + 448*h - 914*h)*(8*h - 2*h - 2*h) to the form l*h**2 + o + r*h and give l.\nAnswer: 1493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.05, -45026 in increasing order.\nAnswer: -45026, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**5\/13 - 4*g**4\/13 + 6*g**3\/13 + 8*g**2\/13 - 8*g\/13.\nAnswer: -2*g*(g - 1)**2*(g + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -16 - -13 - 204*1. Is (-29822)\/(-18) - 46\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + 2)\/4*-8. Suppose 0 = -2*a - z + 14. Solve -5*j - 4*k + 4 = 0, 0 = -2*k - a - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -143 + 145. Suppose 0 = 3*w + 4*z - 6*z - 64, -n*z = 4*w - 76. What is the highest common factor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -463.8 + 463.7. Which is smaller: q or 217?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23557.7 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w = 24. Let t = -12 - w. Is t bigger than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114399 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3*v - 2. Let q = 5 + v. Suppose -25 = -f - q*f + h, -3*h = -3*f + 27. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -377530 divided by -37.\nAnswer: 377530\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 7*o - 252. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 1 - -8) + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlzv when four letters picked without replacement from {z: 1, i: 2, v: 2, q: 1, l: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87992.\nAnswer: 2, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-3\/5)\/q)\/q)\/(q\/(q*q**(1\/4)*q)))**(1\/22) assuming q is positive.\nAnswer: q**(-27\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 11*m + 222. Let p be v(-20). Solve 4*b + 8 = 0, -p*o + 3*o + 3*b = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -417 + 412. Which is the nearest to 2?  (a) -0.09  (b) 0  (c) -1\/3  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*v - 2*n + 30 = -58*v, -v + n = -27. Calculate the highest common factor of 42 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 1546 - 1339 + 11*k.\nAnswer: 10*k + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(1573) + ((0 + sqrt(1573))*-5)**2)*-6 + (((sqrt(1573) - (sqrt(1573) + 1)) + 2 - sqrt(1573))*-3)**2 + 1.\nAnswer: -221788 - 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 6*a**2 + 2*a + 1. Let h(n) = 12*n**2 + 4*n + 1. Calculate 7*f(z) - 4*h(z).\nAnswer: -6*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from oaaoaaaaaoooc?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222738 is divided by 436?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1711*v - 64228 = 45276 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59352 - -393610. Let k = n + -584258. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 1092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**2\/7 - 3*v\/7 - 54 = 0.\nAnswer: -18, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 236041872 divided by 3\nAnswer: 78680624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = -5*l - 21, 9*a = 10*a + 4*l - 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7648320 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1862035249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -26429\/12 != -2203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 509851 and 153999.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + 0.1. Let w = -0.30353 + 0.00353. What is the second biggest value in 3\/7, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -530.8 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7728.6 + -7745.6. Let h = 6 - 4. Which is the nearest to 1\/3?  (a) m  (b) -5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1170 = -8*c - 82*c - 105*c. Solve -5 = 5*h, -5*h = -3*g - c*h + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(847)*4 - sqrt(847))*3)**2)*-1*-4 + -2.\nAnswer: 274410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -4*z + 29, -3*z + 4*z = -3*a + 14. Suppose -a*r + 91 = -80. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 21\/191599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 + 121. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 = 4*f + 17*l - 19*l, -l + 203 = 5*f. Suppose 4*t + 510 = 5*h, 5*t = h - 142 + f. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/23813 or 0?\nAnswer: 13\/23813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/15 and -32\/275?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -9\/73223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*sqrt(153))\/sqrt(9) + -3.\nAnswer: -5*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -58903173 divided by 24111?\nAnswer: -2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10415 - -22473. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -10478, 1 in decreasing order.\nAnswer: 3, 1, 0, -10478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -1447 and -1817 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*y + 2*y - 2*y + 6 - 1 with respect to y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 908593159 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 4*v - 144 = 0, -247*z + 248*z = v + 24. Let l(c) = -c**2 + 30*c + 2. Determine l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/4)\/u)**38\/(u**0)**(2\/41)*((u*u**1)\/(u*u**(4\/5)))**32 assuming u is positive.\nAnswer: u**(-221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -7*p + 6. Let h(i) = 13*i - 13. Suppose 0 = 24*k - 273 + 105. What is k*s(j) + 4*h(j)?\nAnswer: 3*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -45b + 1e2?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5875)\/376*-8)\/10?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 113 = 4*g, -3*g - 59 = -5*g + 3*r. Let c = 17 - 20. Let a be g\/6 - c\/9. Solve -4*n - 20 = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -56, -72, -88, -104, -120, -136?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (((-2)\/4)\/(2\/8))\/2. Let i(m) = m**2 + 5*m - 5. Let s be i(-6). Let p(t) = t**2. Let v(u) = 3*u**2 + 2*u + 1. Let j(q) = s*v(q) - 2*p(q). Give j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 31 - 37 = 3*w, 0 = 2*w + 5*i + 57. Let z = w + 11. Let b be z\/(3\/12*4). What is the biggest value in b, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 8, -0.4, 1\/4, 2 in decreasing order.\nAnswer: 8, 2, 1\/4, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus 9137.1?\nAnswer: -9136.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = r. Let n be (-11)\/(-2) - r\/4. Suppose 5*b - 22 = -p, -4*p - 2 = p - 3*b. Solve 2*x - p*z = -3*z + 7, n*x + 3*z = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2159\/(-1224))\/(-127)*-3)\/(0 - 5\/6)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-210)\/70)\/((-4)\/24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1365821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176770682 is divided by 2155740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, x: 1, g: 1, d: 6, h: 1, u: 6}. What is prob of sequence xgbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 1 - r)*(-2*r**2 - 2*r**2 + 3*r**2).\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3569 - 92657 = 64*v. Is -1402 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 8. Suppose -a*s + 6 - 14 = 0, -2*s - 7 = 3*v. Find the common denominator of 258\/45 - 3 - (v + 4) and -59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -294041.5 - -6561.5.\nAnswer: -287480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10486 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t**3 + 45*t**2 - 1373*t + 417459 wrt t.\nAnswer: 3*t**2 + 90*t - 1373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249272 is divided by 215?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -61.18 times 1?\nAnswer: -61.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 23372938.\nAnswer: 5\/23372938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1283490 and 187\/390.\nAnswer: 1283490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 141031003 + -101?\nAnswer: 141030402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 150170865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-6)*m**(-2)*(m*m\/m**(1\/4))**24 assuming m is positive.\nAnswer: m**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5737 (base 13) in base 3?\nAnswer: 121202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 3*i**2 - 4*i. Suppose 4*p = 15 - 3. Let x be g(p). Let y be (-8)\/x + 4\/12. Is 2\/21 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 24. Let r = -194 + 250. Let d = 42 - r. Do d and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.42 + -0.58. Let k be (-1)\/(1 + (-5)\/(-2)). What is the closest to 0.2 in k, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143344.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94 - 175. Let w = 22 - j. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -54*l - 429. Calculate c(-10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165083109.\nAnswer: 3, 29, 67, 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50973534 by 5.\nAnswer: -50973534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2817234.\nAnswer: 2, 3, 7, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69056 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-7))\/1*-7. Suppose -3*z - 3*q = -7*q + b, 0 = 4*z + 3*q - 28. Suppose 2*y + 71 = -3*m, -z*m + y - 75 - 38 = 0. Is m at most as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42317358 divided by -14105786?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 6*i - 11. Suppose z = -w - 5 + 3, 4*z + 2*w = -14. Calculate the remainder when (z\/2)\/(169\/(-24) + 7) is divided by l(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/11, -1, -0.2, -2, 0.094?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 + 503*j - 472*j - 30*j + 515*j.\nAnswer: -3*j*(j - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 5*b**2 + 3*b - 3. Suppose 5*o = -0*o + 25. Suppose c + 117 = 5*v - 54, 124 = 4*v - 4*c. What is the remainder when v is divided by z(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23044744 to the power of 1\/2, to the nearest integer?\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l + 32. Let a be n(10). Let k = 55 + a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002967 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 89*y + 139110 - 3*y**2 - 139110 as n + d*y + h*y**2 and give d.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3736, 4393, 5056, 5731, 6424, 7141, 7888?\n\"Answer: w**3 - 3*w**2 + 659*w + 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(272) + -2) + (sqrt(136)\/sqrt(32) - (-1 + sqrt(612))**2).\nAnswer: -607 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4*x + 324, 2*a + 22 - 240 = -3*x. Let t = x + -109. Is t\/(-6) - (-2)\/4 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31\/10 + -13\/5. What is the nearest to 0 in 0.1, -3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*g, -5*x + 10*g - 12*g = -16. Solve -16 = 4*p + 4*r, -x*p + 5*r = -11 - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -8*z - 2. Let t(x) = -12*x - 3. Let s be (-5 + 7)\/(1 - 15\/12). Give s*c(r) + 5*t(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(39648\/295)*4\/(-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, g: 1, w: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2*12*11\/264*(-850)\/34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/4*(2 + 1494\/45). Suppose 0 = 3*s + 5*d - 77, -3*s + 4 = d - 69. What is the highest common divisor of f and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419259041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -263116 + 87619 + 87881 + 30*y + 87616.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-408)\/510)\/(18\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 902 - 899. Suppose -2*t - a - 2*a = -9, -4*t + a = 3. Suppose t + 0*n + 0*n**2 + 4\/3*n**k = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137702 is divided by 1700.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -u**7\/168 - u**6\/60 + u**5\/40 + u**4\/6 + 7*u**3\/24 + u**2\/4 + 73*u + 1. Determine h, given that t(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.81 + 0.19. Let t = i + -0.9. Let h = -11 + 6. Which is the third smallest value?  (a) h  (b) t  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + t**3 + 3 + (0*t + 5*t - t)*(-8*t**2 + t**2 + 0*t**2) - 145*t**2 + 145*t**2 + 5*t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -115*p**2 + 341*p**2 - 169*p**4 - 41*p - 113*p**2 - 116*p**2 + 13*p wrt p?\nAnswer: -4056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52106081 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 352 and 4708.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(3\/8)*d))**1\/(d**(-1)\/d**0) assuming d is positive.\nAnswer: d**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-8 + -4 - 7) + (-12 - -18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -5, 0.4, -0.9, -2.9 in decreasing order.\nAnswer: 0.4, -0.3, -0.9, -2.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1015 less than -55906\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-17)*5440\/768*-2\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -443435, -443449, -443477, -443525, -443599, -443705, -443849, -444037?\nAnswer: -444275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 4  (b) 0  (c) 2\/5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -4*h - 20, -4*m - 3 - 1 = 5*h. Put -2, m, 8 in descending order.\nAnswer: 8, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24512147 and 2907.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, 5, 0.1, -25, -5\/6, -776?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, v: 2, g: 3, u: 1, i: 3, o: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 27 + 1 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(10\/25 + (-12)\/10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbxx when four letters picked without replacement from {x: 5, b: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/5 - (16 - 16). Which is the closest to 0.2?  (a) f  (b) -0.02  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240114 is divided by 240103?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of 22*t - t - 7 + 6*t**2 - 6*t. Let y be o(8). What is the greatest common divisor of 37 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21060, 42118, 63176, 84234, 105292, 126350?\nAnswer: 147408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*p - 80 - 94. Let g(c) = 17*c + 1 - 10 - 6*c + 7*c**2 + 4. Let y(d) = -4*d**2 - 6*d + 3. Calculate p*g(q) - 11*y(q).\nAnswer: 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3881*w**2 - 5928*w**2 + 2037*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 362, 1450, 3268, 5816, 9094, 13102?\n\"Answer: 365*g**2 - 7*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((0 + sqrt(19) + -3 - (sqrt(19) + 3*-2*sqrt(19)))*4)**2*4.\nAnswer: -6912*sqrt(19) + 133056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2160) - sqrt(2160)*1)*1)\/(sqrt(10)\/((sqrt(14)*1)\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 5. Let k(g) be the third derivative of g**6\/120 + g**5\/30 - g**4\/24 + g**3\/6 + 3*g**2. Calculate the remainder when k(v) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6156852 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -7620*d**2 - 9*d + 14053. Let c(o) = 3816*o**2 + 4*o - 7026. Let m(q) = 9*c(q) + 4*y(q). Find the first derivative of m(r) wrt r.\nAnswer: 7728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 21. Let q = -2 + a. Suppose 3*u - q = 2*u. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1535347*m**2 - 511838*m**2 - 511883*m**2 - 511771*m**2.\nAnswer: -145*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1731996 = -14395*n - 1642*n for n.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(240)\/sqrt(4))\/(((-3*sqrt(144) - sqrt(144)) + sqrt(144))\/sqrt(12)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20\/1*(-193)\/(-2). Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03607507457 rounded to five decimal places?\nAnswer: 0.03608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43687 - 43686.67. What is the nearest to -2\/3 in z, 3, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = q - 5*v, 5*v - 55 = -4*q + 212. Suppose 105*m - 5653 = 52*m - 2314. What is the greatest common factor of q and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*v + 37 - 1 - 425*v**5 - 25 - 2381*v**5 + 514*v**5 wrt v?\nAnswer: -45840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 156832 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 + 18 = 6*w. What is the remainder when 75 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5601 and 4?\nAnswer: 5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -28, 0.5 in ascending order.\nAnswer: -28, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5337 - 3007. Does 233 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -79*m**8\/336 - m**5\/60 - 41*m**4\/12 - 133*m**2. Find the second derivative of s(k) wrt k.\nAnswer: -1580*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*u - 198*u + 410*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 + 3*l**2 - 4*l**2)*(0 + 0 + 1) - 5*l**2 - 2*l**2 + l**2 in the form h*l + g + o*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/1265 and -97\/345.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n. Let t(p) = 1536*p**2. Give r(t(c)).\nAnswer: -1536*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18712\/537970)\/(2\/(-15)*(3 - (1 + 11)))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from wntnnwnthnttthnntnn?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1947, -3894, -5841, -7788, -9735, -11682?\nAnswer: -13629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 2. Let k be 9\/5*(12 + (-152)\/(-24)). Find the common denominator of (6\/(-126))\/(m\/k) and 21\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 4*w**2 + 7*w + 4. Let h be o(-5). Let v = 25\/3 - 8. Suppose 2 + 3 = 5*b. What is the nearest to b in 1\/4, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-5)*5\/(-2). Let v(s) be the third derivative of -s**4\/24 + 5*s**3\/6 - s**2. Let f be v(7). Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 166456907599\/69377 - 52784899\/22. Let w = z + -15\/901. What is the common denominator of 2*-1 + ((-1385)\/(-270) - 4) and w?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 18*t**2 - 54*t + 12. What is the least common multiple of r(14) and ((-616)\/(-70))\/((-2)\/(-10))?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2 - 1 - 11*v + 6 + 10*v. Let u be a(10). What are the prime factors of (-794)\/u + (-3)\/7?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(6\/11)*s**(2\/31)\/s*s**(-2\/43)\/s*(s*s*s**(-4\/13))\/s)**(3\/14) assuming s is positive.\nAnswer: s**(73131\/1334333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61.9558 - 62. Round y to 3 decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 1\/5, 0.11, -5, 4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -q + 2\/3*q**3 - 1\/2*q**2 + 1\/12*q**4 + 0. Determine b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9872, -5166, 2678, 13660?\nAnswer: 27780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-9)*(-2097)\/18407. What is the smallest value in -0.1, j, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25820*g*q**2 + 18504*g*q - 973471204*q**2 + q with respect to g.\nAnswer: 25820*q**2 + 18504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zztd when four letters picked without replacement from {t: 2, d: 6, z: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*m = 80*m + 19656. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61420 + 240?\nAnswer: 61660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-2) + 1 - -2. Suppose 0 = -5*o + 5*c + 13 + 2, -c = 4*o - 7. Put j, o, -2 in descending order.\nAnswer: j, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -71, -123, -175, -227?\n\"Answer: -52*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 44936 divided by -41?\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 4 + 8)*(-6*o**2 - 82*o + 82*o) - o + o + 4*o**2.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 - -0.1. Let z = -1.4 - 0.6. Let s = 4 + -2. Put z, d, s in decreasing order.\nAnswer: s, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 2*g = -30, 8*a + 4834*g - 2419*g - 175 = 2418*g for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 + 7*k - 17. Let v be y(-4). Factor 48*s**v + 64*s**2 + 2*s**5 - 163 + 32*s + 163 + 16*s**4.\nAnswer: 2*s*(s + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 1532*n + 7153. Give p(-5).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 2*u**2 + u - 1. Let i be c(2). Suppose 0 = 2*r + s - 93 + i, 5*r - 5*s - 215 = 0. Suppose -r*l = -50*l. Solve l = -4*j - 7 + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 9) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/7))**(4\/13)\/(q*q\/q**(1\/5))**1 assuming q is positive.\nAnswer: q**(-719\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/125)\/(19\/((-15295)\/(-14)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = j. Suppose -j = -2*i - 2*m, 5*m = -2*i + i + 5. Suppose -13*c - 48 = -21 - 92. Solve i = -c*z + k - 0*k - 21, -z - 3 = k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*b + 62 - 2, l = 3*b + 90. Let c = -24 - b. Let n(i) = i**2 - 5*i + 12. What are the prime factors of n(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 17\/3 + (-6)\/9. Let i(d) = -d**2 - d. Suppose 3*p + 13 = -2*w, -2*w = -3*p + 6 + 1. Let v(o) = o**2 - 1. Let m(c) = w*v(c) - 4*i(c). Determine m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 231, 507, 963, 1593, 2391, 3351?\n\"Answer: -f**3 + 96*f**2 - 5*f + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72 - -117) + 17 - 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dpxppuxddudpdpdddpdd.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*j + 16*j + 0*j + (-2*j - 6 + 6)*(5 + 4 - 4))*(-5 + 3*j**3 + 5) to l*j**2 + h + o*j**4 + s*j**3 + q*j and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7813, 31269, 70367, 125107, 195489, 281513?\n\"Answer: 7821*z**2 - 7*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 2\/13  (b) 0  (c) -0.0507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -2. Let q be 26\/65*(-5)\/1. Let r be (4 - (-55)\/(-8)) + 3. What is the third smallest value in g, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w + 32. Let a be u(23). Let j = a - 5. Calculate the least common multiple of 82 and j.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68 - -57. Suppose 128 = -4*v + 5*w + 827, -367 = -2*v - w. Let t = v - s. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8*(-150)\/12*-2. Calculate the common denominator of 3\/14*(d\/(-48) - 0) and -85\/26.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4 + 3 + 17*z + 10. Let b(r) = 4*r + 2. Let q(m) = 9*b(m) - 2*j(m). Let p(h) = 2*h. Give q(p(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 384 or -752983?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 2*w + 53, 0*w + 5*w - 295 = -5*z. Suppose -z = -6*k - 3. Suppose 92 = o - h - 7, 3*h = -k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 1:21 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14672\/(-252) + ((-2)\/(-8))\/(1350\/1200).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from wwzwwwwzwz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.42 - 0.224. Let g = -0.304 - z. Let j = 61 - 489\/8. Which is the nearest to -1?  (a) j  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (11\/22)\/((-3)\/54). Let t(b) = 2*b - 9. Let z be t(6). Let h be z\/w + (-44)\/12. Let f(c) = -c + 3. Determine f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75 + -72. Suppose -2*i + 1 - a = 3*d, 3*i + 3*d = 3. Suppose i*u - u - 2*n = 6, -3*n = 2*u - 15. Let f(h) = h. Determine f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5422, 5408, 5386, 5356?\n\"Answer: -4*q**2 - 2*q + 5428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7850123, -15700442, -23550761, -31401080, -39251399?\nAnswer: -47101718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-6 - -4 - (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**3 + 4*w**3 - 14*w**3)*(5*w**2 + 0*w**2 + 4*w**2) - 4*w**3 + 2*w**3 + 4*w**5 - 7*w**5.\nAnswer: -48*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 440995, 440987, 440975, 440959, 440939, 440915, 440887?\n\"Answer: -2*u**2 - 2*u + 440999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (1 + (1 - 5) - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -223151 and -0.06.\nAnswer: 13389.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -0*r - 3*r - 4, -8 = 3*r - 4*s. Let v(a) = a**2 + 16. Let o be v(r). Suppose -o*q = -15*q - 12. Calculate the least common multiple of 5 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21131 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.85231 - -0.85271839. Round c to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19450 or 116693\/6?\nAnswer: 116693\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2503978 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 10419*o**3 + 7*o**2 + 4*o - 80. Let v be h(-5). Round v to the nearest ten thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -57*m**3 + 1653*m**2 - 39*m + 1014. What is n(29)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*(sqrt(25)\/(sqrt(10)\/sqrt(2)) + -3 + -5 + (6*-1*(0 + sqrt(245)))**2).\nAnswer: -79308 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 3*v + 9. Suppose 0 = -4*w + 5*s + 29, v*w - 28 = 5*s - 0*s. Solve -y + w = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -8*k + 2*x + 889162, 2*k + 5*x = 444575. Suppose -7*u = -17*u + k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9222948 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/3)*m)**(-49)*(m*m**2)**(-43) assuming m is positive.\nAnswer: m**(-583\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 - (-4 - 2\/(-2)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 11*n + 2. What is the remainder when 1\/1*(-2 - -69) is divided by v(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -59*h + 126. Solve 6 = -h*u - s, -2*u = -3*u + 5*s + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(1\/5)))\/j**(12\/13))\/(j**(-1\/7)*j\/((j*j**42)\/j*j)) assuming j is positive.\nAnswer: j**(18664\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12319.\nAnswer: 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 8:25 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6916 - -e?\nAnswer: -6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n - 2 - 3*n - 3 + 2. Let s(r) = -r - 2. Determine 4*s(p) - 3*z(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - -81 - (927 - 775)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.09139 + 1893.59139. What is h rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)\/(sqrt(8)*2))\/(sqrt(4)\/sqrt(2)*-3) - (-3*sqrt(1008) - -4*sqrt(700)))**2 + -3.\nAnswer: 4267\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 93*x - 32 = 88*x, -5*t - 65 = -5*x for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 137*p**2 - 13*p - 13. Let d(j) = -34*j**2 + 3*j + 3. Give 26*d(z) + 6*t(z).\nAnswer: -62*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14521 + -14472. Calculate the remainder when 178 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(1100) + -1*sqrt(1100) + -4 + sqrt(1100) + 2 + -4)**2.\nAnswer: -200*sqrt(11) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1.1. What is the closest to -0.1 in 8, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2190133427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -44b8 + 45?\nAnswer: -4473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1082017 + -1082017.0869922. Let c = -0.106 - -0.193. Let o = f + c. What is o rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 0 + 2 - 4. Let x be (-1)\/z - (-5)\/(-20). Suppose x*q - 6 = -2*q. Solve l = 2*b - 3, 4*b + q*l - 18 = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1559, 6269, 14113, 25085, 39179?\nAnswer: 56389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -117, -241, -365, -489, -613?\n\"Answer: -124*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26565*b**2 - b + 971450.\nAnswer: -53130*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/19, -5, -0.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -516 - -811. What are the prime factors of n?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**4\/4 + 22*o**3\/3 - 20*o**2 + 71. Let t be i(20). Solve t = -3*q - 2*u + 7 - 3, -4*q - 4*u = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 523*f**3.\nAnswer: -523*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 183, 437, 787, 1251, 1847?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 295399, 1181556, 2658485, 4726186, 7384659, 10633904?\nAnswer: 14473921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 e, and 1 v when four letters picked without replacement from eeejzzgbbevbjb?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3 - 1 = 4*t, 4*t - 12 = -2*a. Calculate the highest common divisor of 80 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, 50, 0.042, -0.2, -3, -0.5?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) - ((sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*-2))*4 - sqrt(156)) + sqrt(156))) + sqrt(156) - sqrt(156))\/(-2*sqrt(12)*-5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1793200 to the nearest ten thousand.\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 308\/(-693)*(1\/5)\/(404\/2525)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*m = 75*m - 32. Let t be ((-2)\/(-182)*-4)\/(m\/(-14)). What is the smallest value in t, -5, 5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 28. Let v be t(7). Is -174\/5 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 8 = -2*v, -5*a = -7*a - v + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**2 - 3*b**2 + 5*b**2 + 2*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkdkdkkdkkkk. Give prob of sequence kkkk.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiouuuu. What is prob of sequence ii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x = 20 + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 3*r + 9. Suppose g + 4*g + 5 = 0, -5*g - r = -3*a. What is the least common multiple of a and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*r + 4*q + 98, -3*q + 9 = 0. Let s = -48 - r. Suppose s = 5*y - 268. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 6)*(19 - 3*b - 19) to w + s*b and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + h - 1 = -6, 4*h + 2 = -2*n. Let s(x) = -10*x - 26. Let w(p) = -2*p - 5. Determine n*s(f) - 16*w(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4\/21 + -41\/105. What is the closest to 0 in -2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/(-666))\/(238\/(-357)). Let m = 4.95 + 0.05. Sort y, -3, m, 0.4 in increasing order.\nAnswer: -3, y, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -4*n - 2 + 4*n + n - 2*n. Let r be s(-2). Is r at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6*f - 2. Let s(w) be the third derivative of -5*w**4\/24 - w**3\/3 + 117*w**2 + 2. Let n = 26 - 6. Let v be n\/(-4)*12\/(-10). Give v*p(b) - 7*s(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*((-7)\/2 - -3). Let q = 3 - w. Let k(a) = -a**2 + 5*a + 6. Let p be k(q). Solve p = -x - 5, 2*b + 10 = -0*b - 4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*s + 2*s - 28 + 4*s)*(0 - 2 + 0).\nAnswer: 2*s + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8237.\nAnswer: 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + s - 4. Let g = -5 + 2. Let l = g - -3.1. Which is the nearest to l?  (a) 5  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -47054*10\/80 - (-1)\/(-4). Let d = o - -9037. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 333196?\nAnswer: 2, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/182453 or -1?\nAnswer: -2\/182453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9001915, -9001916, -9001917, -9001918, -9001919, -9001920?\nAnswer: -9001921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*g**3 - 21*g**3 + 4*g**2 + 34*g**3 + (-3 + 2*g**2 + 3)*(4*g - 2*g - 3*g) + 271*g**2 - 271*g**2 + 247*g**3.\nAnswer: 239*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**7\/f*(f*f**(-6\/17)*f)\/f)\/(f*f**(-2\/17))**(-15\/2))**(-34) assuming f is positive.\nAnswer: f**(-451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 8*b**2 + 7*b + 2. Let u be x(7). Sort -5, -2, u.\nAnswer: -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1400*c + 20627*c + 17592*c - 6228*c in the form x*c + l and give x.\nAnswer: 30591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28742781017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35*(-12)\/600*-10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1040)\/(-128) + 20\/(-6) + 1 + (-742)\/(-336)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*z + 55*z = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -148 - -150. Let o be z\/6 + (-2)\/(-12). What is the third biggest value in 2\/17, 1, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0028278 nanometers in meters?\nAnswer: 0.0000000000028278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-nine halves of a gram in milligrams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2484364 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5357464573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-1)*27\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 3*g + 15, -f - 3*g + 5 = -2*f. Let k be (-6)\/f*30\/4. What is the derivative of 3*z**2 + 9*z - 6*z**2 - 2 - k*z wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-80)\/48*2757\/(-5).\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6002018 (base 9) to base 2\nAnswer: 1100001010110101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -o - 2 + 10, -4*o + 20 = 5*u. Suppose o = 3*i - 5*g - 79, -2*g - 4 = -3*g. Let z = 35 + -13. What is the greatest common factor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/178 and -1\/10?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4473889 to the power of 1\/2, to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 89050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*y**2 - 6028*y - 101320 = 0. Calculate y.\nAnswer: -1490, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750*r + 117*r = -78897 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 34.2. What is the second biggest value in h, 2, -28?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(7))*1*6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 - 12. Let n = 1266308\/21 - 60287. Let o = n - 41\/3. Sort -3\/4, s, o in descending order.\nAnswer: s, o, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 190 - 186. Solve r = -0*r - s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -13 - (-20 - -19) - (-1 - -4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - -3*10\/6. Suppose o*v = -5*d + 1 - 2, 4*v - 7 = -5*d. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1315017 divided by 3231.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -204*p**2 - 10*p - 11. Let o be g(-1). Let q = 217 + o. What is the highest common divisor of 444 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -4*w + 18, -2*u = 2*w + 3*w - 22. Suppose -2 - 2 = w*d. Let l be d + (72 - (-2)\/2). Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 7 = -4. Let y = 95 - i. Calculate the remainder when y is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 324 - 315. Solve 0 = -4*n - 5*g - 4 + c, 0 = 4*n - 5*g + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - -57) + 23 + -65\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 14*a + 5*a + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i, -41*i = -3*y - 44*i + 66. Let f(k) = k**3 - 4*k**2 - 4*k + 5. Calculate the smallest common multiple of y and f(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/63)\/(2\/3). Let t = -42.81 - -0.81. Let q = t - -37. Which is the third biggest value?  (a) p  (b) 1\/2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 21, 29, 37, 45, 53?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -94962.703 rounded to the nearest 100?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 3*z, 0 = -y + 5*z - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43612 - 1600. Suppose -7*z + 73817 = -q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 51*y**3 - 93*y**2 - 193. Let c(j) = 71*j**3 - 142*j**2 - 290. Let o(t) = -5*c(t) + 7*x(t). What is the first derivative of o(n) wrt n?\nAnswer: 6*n**2 + 118*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 153 + -117. What is the remainder when 157 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/12)\/((-8)\/(-18)). Suppose -2*x - 5*z + 3 - 2 = 0, 2*z + 5 = x. Let v = -0.1 + 0.3. Which is the nearest to -1?  (a) v  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, -283, -728, -1255, -1870, -2579, -3388?\nAnswer: -4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4980 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbnnnbbbbbbbbbbb. What is prob of picking 1 n and 2 b?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6\/5*s + 0 + 3\/5*s**3 - 9\/5*s**2.\nAnswer: 3*s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -13*v - 4. Let u be l(-3). Suppose g - u = 6*g. Let q = 13 + g. 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 = 67 + -65. Suppose -2*x + j*t + 88 = -354, 2*x = -t + 445. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -65, 0.63, 0.\nAnswer: -65, -3, 0, 0.63, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-623)\/253561)\/((-2)\/(-74))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 298\/66 + 970\/(-5335)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71386417?\nAnswer: 17, 4199201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 20 = 14. What is the greatest common factor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*l**6*n - 4*l**4*n**2 - 3*l**2 - 2*n**2 wrt l.\nAnswer: 2280*l**3*n - 96*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 2\/5, -1\/2, -3\/37?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17397 + -17392. Solve -a + d = -3, l*d = 10*d - 20 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30252, 121016, 272288, 484068, 756356, 1089152, 1482456?\nAnswer: 1936268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.049  (b) 2\/19  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 377, 200, -145, -700, -1507, -2608, -4045?\nAnswer: -5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 + 0*o**2 + o**2 + (3*o - 16*o + 8*o - 4*o + 5*o + 0*o + (3 + 2*o - 3)*(3 - 1 - 4))*(o - 3*o + 0*o) - 2*o**2 + 4*o**2 - o**2.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 879837804?\nAnswer: 2, 3, 709, 34471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9087201?\nAnswer: 3, 336563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -13 + 5 - 5) + 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -27*r + 7. Let a(y) = -7*y**2 + 67*y - 33. Let g be a(9). Let w(v) = 14*v - 3. What is g*x(m) + 7*w(m)?\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264 - 48 = -4*q. Let k be (-5)\/(-3*(-15)\/q). Solve 5*x + 6 = -2*g, 3*g - g - 4*x + k = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j + 40*j - 9156 = 0. Solve -j - 24 = 39*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + 43. Suppose 4*k + 13 = c. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -5*y + 15. Let f(s) = 4*s - 14. Calculate 6*f(i) + 5*p(i).\nAnswer: -i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.630617 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 15. Suppose 5*c - 2*l - 191 = 2*c, -i*c + 130 = -4*l. Calculate the greatest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) -0.2  (c) -10  (d) 0.1  (e) 1.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 566, 560, 554, 548?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (582\/15)\/((-4)\/(-10)). Suppose 3*n - 2*j = s, j + 54 = 2*n - 3*j. Suppose -22 - 12 = -17*w. Solve -5*o - n = -w*m, -4*o + 0*m = 2*m + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52012 + (19 - (32\/(-4) + 15))?\nAnswer: 2, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 599278068 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -648*c + 1314*c + 1833*c.\nAnswer: 2499*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 457086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1.2 * 0.303\nAnswer: -0.3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 187482885 to the nearest integer?\nAnswer: 13692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/1464 and -43\/30012?\nAnswer: 60024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(27\/15)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 287 and 125747?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 17 = 1. Let g(h) be the first derivative of -h**2 + 14*h + 15. Let c be g(7). Solve z + c = y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = b, 0 = 3*t + 5*b. Suppose g - 10 = -t*g. Suppose -8*d - 80 = -g*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 25. Let w be (-6 - -1)*(-3)\/2. Let o = k - w. What is the second smallest value in -0.5, -2, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/150 and 131\/90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 624, 2155, 4588, 7923, 12160?\n\"Answer: 451*g**2 + 178*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 118 + 35. Suppose 217 = 69*p - 65 - 1512. What is the remainder when b is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 2) + 6 - 0 - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 255 - -2302. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - y**2 + 3. Let k(f) = f**3 - f**2 + 5. Let d(s) = -5*a(s) + 3*k(s). Let d(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -585, -559, -553, -579, -649, -775?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 4 + 4)*(k + 5 - 5) - 8*k - 66*k - 2*k)*(-2 + 2 + k - k + 2*k - 3*k - 5*k + 2*k + k + (-4 + 2*k + 4)*(1 + 1 - 3)).\nAnswer: 385*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 - 35. Let h = 332 + 12. What is the highest common factor of h and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1334.056 rounded to the nearest ten?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-2)\/(-11) + (-978)\/(-66) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40906822 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 + 11*b + 1. Let c be ((100\/15)\/5)\/(2\/(-15)). Let z be p(c). Is z bigger than 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 3*s + 20 = 0, 13*s = 18*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8541710657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -56501 - -56466.737. Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 329 and 1128?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**2*i**2 + 2*d**2*t**2 + 53*d**2*t + 2*i**2*t**2 - 577*i*t**2 wrt d.\nAnswer: 6*d*i**2 + 4*d*t**2 + 106*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 10 = 2*m, 5*b - 4*m - 27 = -0*b. Suppose -5*s = -10*s + 2*i + 18, -b = -2*s + i. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/4*(-8)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -157*d + 257. Let f(o) = -o - 5. Let r(u) = f(u) + h(u). Differentiate r(a) with respect to a.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/9 + y**2\/3 - 2*y\/9.\nAnswer: -y*(y - 2)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (30*(-15)\/17100)\/((-63)\/342)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -a + 3*w - 1, 4*a - w = -16. Let k = -7 - a. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -1, 0.4, 3 in descending order.\nAnswer: 3, 0.4, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 113*z - 13 + 4 + 2*z**2 as w*z + m + k*z**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14786095 and 140605.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4*u + 24, -5*i + 19 = -3*i + 3*u. Let v(t) = t**2 - 2*t - 32. Let j be v(7). Let n(a) = 3 + a - j*a - 8*a + a. Determine n(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 23*x**2*y*z**3 + 880*x**2*y*z**2 + 18*x**2*z**2 + 45*x**2 - 3*x*z**3 + z**3 wrt y.\nAnswer: 23*x**2*z**3 + 880*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 7*l + 19 = 23, -6 = -2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -h + 6*h - 4*h + 11*h**2 - 2*h**4 - 7*h**2 - 11 as l*h**4 + z*h**2 + c + v*h**3 + d*h and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1402764 and 156?\nAnswer: 18235932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243*g - 258*g - 1441 + 12463 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**7\/4200 - p**6\/900 - p**5\/600 - 7*p**3\/6 - 14*p. Let c(t) be the second derivative of k(t). Factor c(d).\nAnswer: -d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 3:57 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41478, -0.5, 3 in decreasing order.\nAnswer: 41478, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1172*b**6 - 20*b**2 - 12*b?\nAnswer: 140640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40.23 - -9.2. Let s = 0.03 + z. Let f = s + 30.99999905. What is f rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 - 12*h - 4. Let t be i(6). Let d be (-6)\/t*(-9)\/((-36)\/8). Suppose d*l - 190 = 68. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13899*s**3 + 27884*s**3 - 13987*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -384\/61879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 165\/(-483) + (11\/(-231))\/((-5)\/45)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-5\/3)\/v)\/v)\/(v\/((v\/(v*v\/v**(1\/3)))\/v))*(v**(-1\/2))**(-30\/11) assuming v is positive.\nAnswer: v**(-164\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5226, 20954, 47186, 83922, 131162, 188906, 257154?\nAnswer: 335906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74268333?\nAnswer: 3, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -538 + 537.5. What is the nearest to -2\/9 in 6, s, 7\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 7*t - 3. Suppose 6*x + 42 - 6 = 0. Let r be j(x). Which is the biggest value?  (a) 1\/8  (b) 5  (c) r  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*t**2 + 45*t**2 - 169*t**2)*(-15 + 9 + 5 - 12*t**2).\nAnswer: 1944*t**4 + 162*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 31378449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/7?  (a) 1\/4  (b) 2\/3  (c) -7.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 653978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 324527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1617)*-5*-3)\/((1*sqrt(9)\/sqrt(3) - sqrt(3)) + -2*3*sqrt(3)).\nAnswer: 35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 10) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 62552 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1482 a factor of 1395025866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24276 divided by 5.\nAnswer: 24276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 493971*p**3 - 44 - 247298*p**3 + 44 - 247492*p**3.\nAnswer: -819*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.18 and 78.\nAnswer: -92.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 21*2\/120*22\/77\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 434*p - 4.\nAnswer: -434*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -11 + 0\/3*1. Let o = f + 10. Calculate the remainder when 22 is divided by 0 + ((-9)\/o - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15, -54, -163, -378, -735, -1270, -2019?\n\"Answer: -6*s**3 + s**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 71*366\/809897*(-238)\/(-6)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 26*b**2 + 42*b - 53. Let d be p(-24). Let j = -118 - -231. Suppose j = 5*l + 48. Calculate the greatest common factor of d and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 32, -3, -24, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k**2 - 98*k + 12. Suppose -4*g + 15 + 93 = 0. Calculate the smallest common multiple of g and q(-24).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*z**3)*(1 - 4 + 4)*(-1 - 1 - 1).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -50a73 - 30?\nAnswer: -50aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**0*i)**(-3\/2)*i**(2\/3)*i\/(i*i*i\/i**(-2\/3)*i*i*i)*i**(-4)*(i**(-5)*i)\/i*((i**(1\/3)\/i)\/i)**1 assuming i is positive.\nAnswer: i**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*c**4 + 0*c**2 - 3*c**2 - 2*c**2 - c**4 wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -339, -348, -347, -330, -291, -224?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-9)*6)\/((30\/81)\/(-5))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u**3 - u + 1. Let k(y) = y - 1. Let v = -3 + 12. Suppose -4*i - i + g - v = 0, -5*g + 18 = 2*i. Give i*k(w) - d(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - ((-9 - -3) + (4 - -3)). Let r(j) = -4*j + 4. Let b be r(-3). Suppose 0*k + 3*k + 18 = 3*m, -b = 3*k - m. Sort p, 4, k, -4 in descending order.\nAnswer: 4, p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-42)\/28)\/(-2 + 22\/8). List the prime factors of (w - 10\/(-4))*318.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a + 8. Suppose -5*n + 39 = -8*n. Let l = n - -17. Let y(s) = 4*s + 2*s + 3 - l*s. Determine 3*h(o) - 8*y(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599 is divided by 123?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-27)\/(-6))\/(-3))\/(3\/152). Let c = k - -84. Is 12 a factor of (-263)\/2*(c - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -73*c - 249*c + 1272 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 110010011011100101 (base 2) to base 9\nAnswer: 344316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 171 and 4086.2163.\nAnswer: 4257.2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-315)\/(-105))\/((-90)\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 691 divide 144426755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 + 55. Let w(l) be the second derivative of 1\/2*l**2 + 0*l**k + 0 + 1\/6*l**4 - l. Find the first derivative of w(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6259.16 plus -10.1?\nAnswer: -6269.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -88\/7, 3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75 and 986800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -5*u**3 + 5*u**2 + 5*u + 9. Factor d(s).\nAnswer: -5*(s - 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpc when three letters picked without replacement from {y: 1, b: 3, p: 1, h: 5, c: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/(-3))\/4*(-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*3797.59.\nAnswer: -379.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 3*a. Suppose -z + 9 = -2*y, 3*z + 2*y - 3 = -a*y. Suppose 5*b - 10 = z*b. Solve -4*j + 5*t - 22 = -5, -b*t + 14 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 548*u**3 + u**2 - 1. Let g be b(1). Let o = g - -575. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 3\/79  (c) 2\/19  (d) 0  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {c: 6, r: 4, u: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 621359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clcc. Give prob of sequence cl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.17 + 0. Let z = g - 0.17. Let x = -111\/28 - -33\/7. Which is the nearest to z?  (a) x  (b) 0.2  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3149416 is divided by 3149396?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -4861*a - 719403. Give q(-148).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46527 is divided by 2115?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4000956467?\nAnswer: 23, 271, 653, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) - -2*1*sqrt(10)) + (sqrt(70) + 4*sqrt(70))\/sqrt(7))\/((sqrt(28)\/(sqrt(2)*-2))\/((sqrt(14) + sqrt(42)\/sqrt(3) + sqrt(14))\/sqrt(2))).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 39*c + 1\/12*c**3 + 0 + 0*c**2 + 1\/48*c**4. Determine b so that m(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2608, 5193, 7772, 10345, 12912?\n\"Answer: -3*v**2 + 2594*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -i + 2*i. Suppose i + 3 = k. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8252 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*t - 2 - 83*t - t - 3*t to w + c*t and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -11*p**2. Let s(g) = -1786445*g**2. Give r(s(x)).\nAnswer: -35105243118275*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25673*o**5 + 58*o**4 + 10*o**3 + 217923683*o**2?\nAnswer: 1540380*o**2 + 1392*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 6*f**2 + 6*f + 7. Let k be w(-5). Suppose -k*n = 4*q + 4, -q - 2 = -3*n + q. What is the smallest value in 0.5, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/3)\/(-3)*-1. Let x(s) = 632*s**3 - s**2 - 3*s - 3. Let c(w) = -633*w**3 + w**2 + 4*w + 4. Let d(a) = -2*c(a) - 3*x(a). Is d(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (18 + 2)\/2 - 0. Let a = x - 400. Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 + 56. What is the second derivative of x*o + 20*o**5 - 7*o**5 - 26*o wrt o?\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j + 1. Let d(k) = 2*k**3 + k - 1. Let q be d(1). Let n be 7\/2 + (-6)\/12. Suppose -q*b + n = -1. What is z(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.8671 + 0.0641. Let i = -0.8 - u. What is i rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**2 + 2*g**2 - 3 + 6 - 6544*g - 23 + 18 in the form p*g + i*g**2 + a and give p.\nAnswer: -6544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 9, z: 3, t: 7}. What is prob of picking 1 t and 3 z?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3965  (b) -4  (c) -3\/4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -14*y - 0*y - 262, -5*y = -31*d + 26*d + 100 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -160100 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = w + 355 - 363. Factor -6\/5 + 2\/5*b**w + 4\/5*b.\nAnswer: 2*(b - 1)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 5*z**2 + 3*z + 3. Let f be l(4). Suppose -36*u = -f*u. Suppose 4*o - x - 79 = 81, -2*o + x + 80 = u. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 746 - 15591?\nAnswer: -14845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.1 - 0.5. Let i = n + -4.4. Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38 - -32. Let s(r) = 7*r**2 + 11*r + 13. Is s(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -7\/6, -23.\nAnswer: -23, -7\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-450)\/36)\/(-5)*(-406)\/(-29).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*y + 4 = 2*m + 35*y, 5*m - 5*y = 40. Solve 5*b - 4*w = -0*w - 5, 3*b + m*w = 29 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -34*t - 1. Let b be i(1). Calculate the remainder when 2\/5 + (-581)\/b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1\/40, 3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*s + 4360 = -1165 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - a + 625 = 0. Suppose -2*d + 27 + a = 0. Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.759613 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 7. Suppose 0 = 3*u - 3, b*t = 4*u - 7*u - 22. Let s = 1.1 + -0.1. Sort -0.4, t, s in increasing order.\nAnswer: t, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 510 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**6\/540 + h**5\/54 + 2*h**4\/27 + 4*h**3\/27 - 17*h**2. Factor q(s).\nAnswer: 2*(s + 1)*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 703499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60322168 divided by -142.\nAnswer: 424804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**3\/9 + 854*p**2\/9 + 11662*p\/9 + 40474\/9 = 0.\nAnswer: -413, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**2 + 31754*v + 887544 = 0. Calculate v.\nAnswer: -15849, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 6:35 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by 10979669.\nAnswer: -22\/10979669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129 - 150 = 248*a - 239*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 2057714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2020 and 100495.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16)\/(-6)*(-9)\/(-12). Suppose -5*s - 3*t + 1 = 0, -6*s + b*s + 2*t + 14 = 0. Suppose 3*a - 6*a = n + s, 2*a + 4 = 2*n. Solve -4*o + n = 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 249, 3, -4, -2 in descending order.\nAnswer: 249, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -45120 divided by 5?\nAnswer: -9024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5032148 years to centuries.\nAnswer: 0.005032148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/120)\/((-8)\/5*6).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + 45 - 191 - 2*m + 43 + 45 + 11.\nAnswer: -2*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k - 18 = 20*k. Suppose 0 = -j - 2*j. Solve j*n + 3*n = 5*p - 19, 3*p = k*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1 - -1)*(4 + 11) is divided by 10 - (-1 - 0)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*q - 12 = 3*l, 5*q + 5*l - 50 = 0. Let z(o) = 3*o - 14. Let k be z(q). Solve -4*y + 4 + k = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 + 3 = p + 2*x, 0 = -4*p - 5*x - 130. Suppose 3*i + 4*q = -82, i - 16 + 94 = 5*q. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1196182 + 1196182 + 112175*p)*(1 + 1 + 0) in the form d + q*p and give q.\nAnswer: 224350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h*j*r**3 + 61*h*j*r - 10*h*r**3 + 38*h*r with respect to j.\nAnswer: h*r**3 + 61*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46758*x**2 + 2*x**3 + 46758*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8621 is divided by 2866?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -14*y**2 + y - 6. Let o(b) = 30*b**2 - 2*b + 11. Let t(g) = -11*m(g) - 6*o(g). What is t(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*l + l + 0*l)*(10 - 36 - 24)*(-4 + 5 + 1) to r + q*l and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3021270, 6042539, 9063808, 12085077?\n\"Answer: 3021269*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 296, 273, 254, 239?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6.719 - -2455.5\nAnswer: 2462.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 133320 and 2733060.\nAnswer: 5466120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4*j + 4*k - 14, -k - 1 = -j. Let p be ((-4)\/10)\/(j\/(-360)). What is the highest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 5. Suppose -3*x = -2*y - 19, t*x - 24 = -4*y + 6*y. Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2139595 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 115969  (b) 0  (c) 9  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125009 is divided by 186?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13142 - 4381 - 4*t**3 - 4379 - 4382.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 9, s: 2, x: 4, n: 3}. What is prob of sequence sin?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21240 is divided by 138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63.99 - 68.6. Let p = -7.77 - n. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 55472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 8 = -10. Solve -5*x = -8*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - 7. Let m = -8 - j. Solve 0 = m*w - 22 + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c + 2 - 3 - 11*c. Let v be b(-1). Suppose a + v*m = -0*m + 1, 0 = -2*a - 4*m + 8. Calculate the least common multiple of a and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 120578*r**2. Let x(v) = v. Determine t(x(z)).\nAnswer: 120578*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 - s**2 + 2. Let k(w) = 181*w**3 + 2*w**2 + 102*w - 14. Let m(f) = 7*h(f) + k(f). What is the third derivative of m(t) wrt t?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3 = 3*q + u, -5*u + 8 = 2*q. What is the hundreds digit of q*8\/12*(-651)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*o + 18*o + 2*z - 42 = -6*o, -12*o + 4*o + 12*z + 5*z = 227 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 6*g - 3. Suppose 7*n - 13*n = 84. Let h = -19 - n. Let u be v(h). Solve -2*y = -y + x - u, 6 = 2*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from faafaaaaaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 11*h**2 - 14*h - 8. Calculate d(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2790 - -4660. What is the highest common divisor of 66 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -99*s + 87*s + 60. Let n = 5 - 3. Suppose 3*b = 2*f + 44, -f = -4*b - n*f + 44. Sort s, b, 0 in descending order.\nAnswer: b, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 12*q**2 + 19*q - 9. Let k be l(-10). Solve -z + 3 = -k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 45*g**3 - 50*g**2 + 1724*g + 797. Let v(d) = 7*d**3 - 7*d**2 + 287*d + 133. Let w(y) = 6*j(y) - 38*v(y). What is o in w(o) = 0?\nAnswer: -8, -1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 10*u**2 + 2*u - 4. Let h be s(10). Let l be 8 - (-8 + 11 + 3). Solve -q - 10 + 1 = 3*y, l*y + h = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + -1)*-1 + 1. Let h(l) = -l - 8. Let a be h(-10). Suppose -2*m - a*m + 16 = p. Solve -m*o + 6 = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 157 + -470\/3. Let u(g) = -4*g**3 - 26*g**2 + 14*g - 1. Let y be u(-7). Which is the second smallest value?  (a) r  (b) -9  (c) y  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*j - 26. Let i = j + -4. Is i bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 59*y**2 + 52*y + 351. Let n be z(58). Let q(i) = 8*i - 4. Let t(b) = -9*b + 5. Calculate n*t(j) + 4*q(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76593891*u**4 + 62737681?\nAnswer: -306375564*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.858719 plus 6.3?\nAnswer: 7.158719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -84, -92?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 161672 and 12712?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1))**(-20))**47)**(1\/30) assuming s is positive.\nAnswer: s**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21\/4 - -5. Let p = 22 - 22.1. What is the closest to p in 0.5, s, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 965.9999927 - 966. Round w to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -805.696, 1, 4 in decreasing order.\nAnswer: 4, 1, -805.696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -5*i + 10. Let f(l) = l**3 - 2*l**2 - 4*l - 2. Let q be (4\/(-6))\/(2\/6). Let p be f(q). Let k be x(p). What is the highest common divisor of k and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 3889*f - 404668. What is x(-107)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1103411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + j = 5, 2*j = -3*i + j + 3. Suppose p = -5*w - i - 9, -2*p + w = -2. Suppose 7*a - 2*a - 95 = p. Solve -a + 5 = 2*b + 5*k, 3*b - k = 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17126.7954 rounded to zero dps?\nAnswer: -17127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) 20.4  (c) -2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**2 + 4*i**2 + i**2 + (2*i + 3 - 3)*(1 - 2*i - 1) + (-4*i - i + 4*i)*(-9 - 13*i + 9) - 60 + 60 - 9*i**2 as j + c*i**2 + o*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3483 - -3547. Calculate the highest common factor of m and 2144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (2 - (-6 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3954 = 200*v - 3446 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3*sqrt(204) - sqrt(204))*4*6)\/(((sqrt(144) + sqrt(144)*2)*5 + sqrt(144))\/(5*sqrt(12)*-1)).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 9*o**2 - 3*o - 3. Let b be g(-9). Let j = b - 22. What is the third derivative of 6*v**5 - 11*v**j - 205*v**4 + 205*v**4 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3624, -7248, -10872, -14496, -18120?\n\"Answer: -3624*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -57 - 35. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 5:17 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 32 divided by -126\nAnswer: -16\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 10*a. Let l(y) be the first derivative of y**3\/3 - 5. Calculate t(l(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -229*u**2 + 86*u**6 + 6*u**6 - u - 7*u + 228*u**2 wrt u?\nAnswer: 11040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p + 3. Let s(c) = 2*c + 14. Let w(a) = 10*f(a) - 2*s(a). Let b(l) be the third derivative of l**4\/12 + 2*l**2. What is w(b(v))?\nAnswer: -28*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 267183312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19933.66 take away 17.3?\nAnswer: 19916.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*a - 38, -3*j = -4*j + 1. Let p = 19 + a. Suppose o + 2155 = p*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 95 - 90. Suppose -a*h = -3 - 7, 2*h - 184 = -2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -6. Let p be 1*(w + (0 - -3)). Suppose -p*k + k = 15. Put k, -3, 3 in decreasing order.\nAnswer: 3, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2623658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s - 9. What is r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - j**2 + 4. Let k be i(0). Let t = k + -2. Solve 2*f = 8 + t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 392822106 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49972?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-3)*6*2\/4. Solve -5*s = -4*s + h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 59*x + 40. What is c(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -21a59b6 (base 13) in base 10?\nAnswer: -10323176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -a9 (base 11) in base 14?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 12938?\nAnswer: 38814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -5*x - 6. Let b = -10 - -23. Suppose -2*i + o - 12 = 0, 0 = i - 4*o + b + 7. Calculate y(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 4. Suppose t*k = k - 15. Suppose 5*j - k = 0, -q + 2*q = 2*j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -4*h + 27 + 7\/2*h**2. Let k(i) = -2*i. What is k(c(z))?\nAnswer: -14*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -0.4  (c) -2  (d) -6851286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of 17*n**7\/105 - 5*n**4\/4 + 6*n**2. Find the second derivative of m(x) wrt x.\nAnswer: 408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 0.3398819?\nAnswer: 0.3398819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19363\/4 + 4812. Let j = o - -233\/8. Factor -3\/4*r**3 + 3\/2*r - j*r**4 + 9\/8*r**2 - 3\/2.\nAnswer: -3*(r - 1)**2*(r + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 534570 is divided by 2857?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 47\/8  (c) 3  (d) 4  (e) -3  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53214 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 90\/25 - (-4)\/10. Suppose 13 = -s*t + 3*m, 0 = -3*t + 5*m - 0*m - 18. Let r be (-2)\/(-5) + (t - 0). Sort r, -2\/11, 0.5.\nAnswer: r, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2840506, 2840454, 2840368, 2840248, 2840094?\nAnswer: 2839906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**5 - 26*x**4 + 18*x**3 + 82*x**2 - 124*x + 48 = 0. What is x?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 g, and 2 o when four letters picked without replacement from xxkgoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -201 - 167 - 8*k**3 + 702 - 185 - 203.\nAnswer: -8*k**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 31421*a**4 - 31369*a**4 + 1 - 7*a**2 + 3*a**2 in the form w*a**2 + b*a**3 + m + s*a + n*a**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2523, 10377, 23467, 41793?\n\"Answer: 2618*o**2 - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.3 - -0.7. Let i = 5 + d. Let h = i + -6.8. What is the second biggest value in 2\/5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 1. Let n(l) = 8*l + 2. Let t(r) = -2*b(r) - n(r). Let f(y) = -149 - 151 + 567 - 22*y**2 - 119 - 148. What is t(f(g))?\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -3*x**3 + 3*x. Let a(w) be the second derivative of -w**3\/6 + 1172*w + 1. Determine g(a(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 1\/6  (b) 62  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (36*a - 30*a + 78*a)*(-2*a**2 + 2*a**2 - a**3) + a**4 - 2*a**3 + 2*a**3 as t*a**3 + p*a + b*a**2 + m*a**4 + c and give m.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*5*(sqrt(95) - 4*sqrt(95)*1 - sqrt(95) - sqrt(95)))\/((sqrt(50) + (sqrt(200) + sqrt(50))*-1 + sqrt(50))\/(sqrt(490) - (sqrt(490) - -2*sqrt(490)))).\nAnswer: 350*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*3979875.\nAnswer: 11939625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 10) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d. Let a(q) = 30*q - 11. Let i(n) = 13*n - 5. Let h(r) = -4*a(r) + 9*i(r). Calculate 5*g(x) - 2*h(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 4*o - 2788, 5*o - 5*t = -7*t + 3497. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (27\/(-24))\/(4\/(24\/(-9))). Let u(r) be the first derivative of 0*r**2 + h*r**4 + 2 + 0*r**3 - 3*r. Differentiate u(y) wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -18444*i - 100920 + 681\/2*i**2 - 3\/2*i**3 = 0.\nAnswer: -5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -801*n + 193505 = 30*n + 2256*n - 110*n for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 44626345 * -3\nAnswer: -133879035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -2 + 2 - -1. Suppose d*p = p. Suppose 0*j + 5*j - 20 = p. What is the second biggest value in -0.5, -3, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326759?\nAnswer: 67, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**3\/7 + 114*x**2\/7 - 432*x\/7 + 424\/7 = 0. Calculate x.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12862381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 28125, 56184, 84237, 112284, 140325, 168360, 196389?\n\"Answer: -3*b**2 + 28068*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 871.855.\nAnswer: 348.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -5*j + 15, 5*x + 3*j = j - 22. Let d(z) = z**2 - 3*z - 2. Let t(y) = -y**2 + 4*y + 2. Give x*d(a) - 3*t(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/53))**(-2\/101) assuming t is positive.\nAnswer: t**(4\/5353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gyyyggygmgmggyg. What is prob of picking 3 y and 1 g?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 16 = -0*l. Let u = 124 - 73. Let i = l + u. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - ((1 - 2) + (-15 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((39 - -5) + 11)*(2 + -1). What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 9*v - 1. Suppose 5*h - 3*h + 8 = 2*f, -5*f = -h - 12. Suppose 6*m - f = 5*m. Calculate t(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 4:21 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3122230 (base 5) in base 13?\nAnswer: -1a617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -138 - -81 - -26 - 92?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -121.85 + 122.85. Sort 3, 11\/31, n, 2.\nAnswer: 11\/31, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 4*u - y - 26, 0 = -4*y - 16. Let k = u - 14. What is the units digit of -40*(k - (-3)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 726 = 4*a. Let i = a - -363. Solve i = -4*g - 2*g + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155 is divided by 116?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*l - 2*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 3:58 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(605) + -4 - sqrt(5) - (-4 + sqrt(5)*-2))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1297 - -0.013.\nAnswer: 1297.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -564*j + 263*j + 385*j. Let o(t) = -t**2. What is o(l(n))?\nAnswer: -7056*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 60*f**2 - 11*f - 616. Let n(h) = 11*h**2 - 2*h - 112. Let m(s) = 6*g(s) - 33*n(s). Let t(k) = 2*k + 0*k - 3*k. Calculate t(m(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16889*o + 16896*o - 3983. Calculate the remainder when o is divided by 226.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 66\/(6\/2) - 1. Let l be 6 - 2443\/(-91) - (-5 + (-63)\/(-13)). Calculate the highest common divisor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -h + 26. Suppose 8 = -4*f + 36. What is the remainder when h is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7772103773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 14*t - 32. What is q(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 2*a**2 + 2*a**2)*(2 + 1448*a**2 - 713*a**2 - 4) + 4*a**4 + 1 - 1.\nAnswer: 2209*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40 - -44. Solve -x*i + i = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 1:45 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -682*b - 11*b**3 + 4*b**2 + 0*b**2 + 665*b + 6 + 23*b**3 - b**4 - 10*b**3 to the form x*b**3 + i*b**2 + r*b**4 + g + q*b and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20344 + -1134444?\nAnswer: -1114100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -5*o. Let m(t) = -4*t. Let n be 4\/(-10) + 74\/10. Let c(l) = -l**3 + 16*l**2 - 62*l - 15. Let j be c(9). Calculate j*q(k) + n*m(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -9 + -10 - (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-32)\/(-6) + 4\/6. Let n(y) = 3*y**3 + 91*y**2 + 121*y + 124. Let k be n(-29). Let q be 208\/56 - s\/k. Solve -q*p = 3*h - 2*h, -3*p + 4*h = -19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 170.18, -4\/23, -1\/4, 1 in decreasing order.\nAnswer: 170.18, 1, -4\/23, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8\/5)\/((-3)\/(-30)). Suppose 0 = -3*i + 5*i - k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 26076.21mm?\nAnswer: 2607.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1146 - 199. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**4*h*h**(-1\/10)*(h*h*h*h**7*h)\/h**(1\/2))\/(h**8*h**7*h)**(-4\/7) assuming h is positive.\nAnswer: h**(859\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/(-7) + 2*2. Suppose 4*f + 402 = p*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 606 (base 10) in base 8?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28 and 134924.\nAnswer: 944468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 37, 131, 289, 511, 797?\n\"Answer: 32*d**2 - 2*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -80640 or 8\/15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -23 - -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzff when four letters picked without replacement from {f: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 16*b**2 + 35. Let v be k(-16). Suppose -2*q = -4*q + 10. What is the greatest common factor of q and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, w: 1, e: 2, y: 1}. Give prob of sequence wq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/6*9\/(-4). Let r(i) be the first derivative of 2*i - 3\/2*i**2 + 109. Determine r(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 - 74768*z - 2321652.\nAnswer: 4*(z - 18723)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 2*f**10\/315 + 2*f**6\/45 + 22*f**3\/3 - 7. Let d(t) be the third derivative of u(t). Find the third derivative of d(i) wrt i.\nAnswer: 3840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.57 + 0.17. Let k = -3.45 - u. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1458 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**5 - 7*d**5 + 3*d**5 + (1 + 2 - 2)*(-7*d**5 + 20*d**5 + 31*d**5).\nAnswer: 42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((3 + sqrt(1584))*1)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54573 + -25889. Suppose 0 = 4*f + h - 6*h - 22943, -h - d = -5*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 - 2*l - 4. Let t be r(-7). Let v = 0 - -3. Is (4\/v)\/((-2)\/t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 28*y - 1 = -22*y - 3*p, 2*p - 1 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gygh when four letters picked without replacement from hhhhqygqygghhqhhy?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 385*h + 3081. Let u be b(-8). Suppose 2*f + 26 = 2*w - 0*f, -3*w - f = -31. Solve -4*p + 12 = -j, 4*p = -2*j + u + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214150 is divided by 42829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5*h - 13, 5*g - 2*h = -0*h + 42. Let x = -6 + g. Let i be (-32)\/320*6*20\/(-21). Which is the nearest to x?  (a) i  (b) 2\/13  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t**4 + 2*t**4 - 5*t**4)*(77 + 59 - 52 + 92) to the form i*t**4 + l*t**3 + s*t**2 + f*t + v and give i.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 - 5*x + 9. Let d(m) = -m**3 + 11*m**2 + 12*m - 10. Let c be d(12). Is j(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -9*r**2 + 11*r. Let a(d) be the second derivative of d**4\/2 - 7*d**3\/6 - 2*d + 156. Give -8*a(p) - 5*z(p).\nAnswer: -3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 0.5, -50\/517, -0.5, -101, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1540164.708 + 1536486. Let u = r - -3681.5080048. Let g = u - 2.8. Round g to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/7 < 14491515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65)\/13*((-18)\/15)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.13579 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10365*z**3 - 63682660*z**2 - 97817026560*z - 943718400 = 0. What is z?\nAnswer: -3072, -20\/2073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 4*k + 2. Suppose -4*m + m - 12 = 0. Let i = k - m. Solve 0 = -3*c + i*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from hhzehzhmxxehhhexhh.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = y + 221, 32*z = -2*y + 73*z - 43*z - 90 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 9133944.\nAnswer: 91339440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -657000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -5*d - 6. Let p(w) = -9*w - 11. Let o = 59 + -13. Let a = o + -57. Let b(m) = m**3 - 5*m**2 + 7*m - 6. Let q be b(4). Give a*k(t) + q*p(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 80851425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (-7 + -2 - (-23 - -10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.410243km in millimeters?\nAnswer: 4410243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5094 + 0.51. What is t rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24*m**3*r**3 - 25547*m**3 + 2*m**2*r**2 - m**2 - 2*m*r**3 - 208*r**2 + 100*r wrt m.\nAnswer: 144*r**3 - 153282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 0.013\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.7 + 0.3. Let d(g) = -2*g**3 + 17*g**2 - 4*g - 30. Let o be d(8). What is the closest to o in v, -0.1, 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13807351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112767, -226438, -340101, -453762, -567427, -681102, -794793?\nAnswer: -908506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 divided by 72636?\nAnswer: -19\/36318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.068 * -14.3\nAnswer: 0.9724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/2)\/7*((-15)\/24)\/(-5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -29206*z + 29208*z - 70, -5*r - 5*z = -200 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - j - 2*j)*(-2 + 5 + 0) + 11*j - 4*j + j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/27)\/c*c*c\/c**(-2\/13) assuming c is positive.\nAnswer: c**(431\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 0)*(-1 + 2*b**2 + 1)*(1183*b + 39*b - 110*b) in the form a*b**3 + g*b**2 + y*b + d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6232 - -6235. Let u(c) = -76*c + 215. Give u(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 27.69387 years?\nAnswer: 2.769387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18667 by 11.\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -12*n + 253. Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**3\/6 + 7*d**2 - d. Let r = 821 + -832. Let x be k(r). What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31841996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -35139 + 35139.20023. Let b = 0.1 - 0.3. Let d = w + b. What is d rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k + 2046 = 2033 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 154154872 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1807 > 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 728.4 - 728.396862. Round p to 5 decimal places.\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(152) + 3*(-1*sqrt(152) - sqrt(152)) + sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*2)*2))\/(sqrt(40)\/(4*sqrt(180))).\nAnswer: -216*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, l: 1, x: 1}. Give prob of picking 1 l and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23311711957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12667 divided by 53.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 82592\/((-24)\/(-3))*3\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33\/(-15)*42\/(1344\/(-160)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388 is divided by 168.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 2:57 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -238 divided by 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 7*r**2 + 6*r + 2. Let t be i(-6). Suppose -3*d = 4*k - 863, -182 - 397 = -t*d + k. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -55*g + 167. Let h be (-56)\/(-21) + 3 + 40\/(-15). Let q be f(h). Solve -q*u = -8*u + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -245 by 5095.\nAnswer: -49\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3603\/(-18015))\/((-7)\/50).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8*416772.\nAnswer: -333417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 83\/(-166)*(-12)\/14. Put 0.4, -6, 5, a in ascending order.\nAnswer: -6, 0.4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4940 and 2072980.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/15 - -1)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 + 291384*z - 3205109. What is g(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -213187, -426380, -639573, -852766?\n\"Answer: -213193*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 786039 is divided by 261993.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -27518425 rounded to the nearest 1000?\nAnswer: -27518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 236 = 3*j, -4449*j = -4454*j - 174*y + 1230 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 15025, 5 in decreasing order.\nAnswer: 15025, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8158.799m to millimeters.\nAnswer: 8158799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1862*l - 1727*l - 113580 = -434*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -16, -55, -114, -193, -292, -411?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 1. Let t(j) = -2. Let x(r) = 3*d(r) + t(r). Let k(c) = -3*c + 2. Let l(h) = -3*k(h) + 6*x(h). What is the units digit of l(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54 + 49. Which is the second biggest value?  (a) r  (b) 2\/5  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/20 + (-13)\/((-65)\/5718)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29510 and 1396460.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -25 times -71\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**4 + 9667*q**3\/6 + 107533*q**2\/2 + 434000*q - 72832\/3 = 0. Calculate q.\nAnswer: -16, 1\/18, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.034 + -0.152. Let y = v + -1.814. What is the third biggest value in -2\/3, -6\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (282 - 281 + 28*h**2 + 67*h**2)*(-1 + 1 + 1).\nAnswer: 95*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -213301 (base 4) in base 8?\nAnswer: -4761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 37*s - 3 = -38*s, -3*l = -3*s + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -11*n**5\/3 + 400*n**4 - 18541*n**3\/3 + 38228*n**2\/3 + 33324*n - 120848\/3 = 0?\nAnswer: -2, 1, 4, 166\/11, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -42, 21, -47, 0 in decreasing order.\nAnswer: 21, 4, 0, -42, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + -2*sqrt(143)*1)\/(sqrt(275)*-1).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*g**3 + 9*g**3 + 4*g**3 + (-4*g + 4*g + g)*(2*g**2 + 2*g**2 - 2*g**2) as p + l*g**3 + f*g + t*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 1074*y - 5391. Calculate t(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a + 16. Calculate v(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 230, 229, 226, 221?\n\"Answer: -j**2 + 2*j + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -229*o**2 + 455*o - 7619 + 7619 wrt o.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746815 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24 and -1794754.\nAnswer: 43074096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176 and 11792.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/4 + 16\/(-8). What is the nearest to -4 in -5, q, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 take away -162090351?\nAnswer: 162090413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 551 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 7*w - 8. Suppose 4*j - 3*a = -j + 84, -w*a = -j + 21. What is the least common multiple of 10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/4*v + 1\/4*v**2 + 3\/4*v**3 - 1\/4*v**4.\nAnswer: -v*(v - 3)*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*q - 9*s + 4*s, 5*q = -5*s - 15. Let n(g) = -6 + 37*g + 34*g - 76*g - g**2. Calculate n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 2)*(b + 2*b - 4*b) - 28*b - 5925 + 5925.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.04 + -6.19. Let v = -5.1 - r. Which is the nearest to 1?  (a) v  (b) 1\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 60 + -48. Let n(w) be the third derivative of w**6\/120 - 13*w**5\/60 + 11*w**4\/24 - 2*w**3\/3 + 10*w**2 - 7*w. What is n(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 120\/(-12) - ((-60)\/9)\/(-4)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-2)\/(1\/(-2)*4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -46*n - 26. Let v be i(-3). Let g = 186 - v. Suppose 5*y - g = 101. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1237244?\nAnswer: 2, 309311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -281, -297, -339, -419, -549, -741, -1007, -1359?\nAnswer: -1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -120 + 844\/7. Let j = 670\/39 + 10783\/546. Let d = j - 73\/2. What is the closest to 2\/7 in d, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, n: 1, i: 8}. What is prob of picking 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17190, 68348, 153610, 272976, 426446, 614020?\nAnswer: 835698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -43, -54, -41, 8, 105?\n\"Answer: 2*k**3 - 25*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {m: 1, g: 4, w: 1, n: 2, r: 5, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46197\/54)\/59*2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 209, 845, 1905, 3389?\n\"Answer: 212*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.31 - 0.01. Let x = u - 2.1. Let v = 2.6 + x. Is 1\/6 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.034378?  (a) -0.3  (b) 4  (c) 0.1  (d) -0.1  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8622627 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 9) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6 = 0, 4*z + 6 = 3*y + 13. Solve z*r + 1 + 15 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*a**3 - 3*a**2 + 2*a**2 + 5*a**2 - 3*a**2 + 87*a.\nAnswer: 40*a**3 + a**2 + 87*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -4. Suppose 0 = -5*x - c + 25, -2*x - 3*c + 10 = c. Solve -4*i + x*i = 5*r - 20, -3*i = 2*r - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*45*20\/140.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -260 and -4698.\nAnswer: -4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 18, 4, 5, -3, 2 in descending order.\nAnswer: 18, 5, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 358.53444 to 1 decimal place.\nAnswer: 358.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 414 + 366. Let q = 7412\/19 - m. Which is the nearest to -2\/5?  (a) 2\/7  (b) q  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/8 - ((19 + -17)*-1)\/(72\/9).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 k, and 1 n when three letters picked without replacement from {f: 3, n: 1, t: 7, y: 1, k: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.84*251.\nAnswer: 461.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 0 - 0) + -22 + 56 + -35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -3) + (-12 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2436000 divided by -14000\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -63, -2, -0.3, -0.4, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1*sqrt(504))\/(-5*sqrt(32)\/sqrt(4)) + 0 + ((-2*sqrt(448) - sqrt(448)) + sqrt(448))*2 + 0)**2.\nAnswer: 185983\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, t: 3, o: 3, g: 7, y: 2, e: 2}. What is prob of sequence tgg?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*h - 403179 = -15513. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 + 27 - (7 - 7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-2 + 33\/18). Let y(k) be the third derivative of 0*k + 0 + n*k**3 + 1\/12*k**4 + k**2. What is the derivative of y(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -41.23 - -46.23. Which is the third smallest value?  (a) 0.2  (b) 8  (c) -1\/5  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: -7548.024 - -230\nAnswer: -7318.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21832 divided by -64.\nAnswer: 2729\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 175ba3 (base 16) to base 9.\nAnswer: 2782754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-28)\/(-10))\/((-3)\/30). Suppose 4*d - d + 81 = 0. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)*2*5.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5279338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkcfukcfuxfkfkcfk. What is prob of picking 1 k, 1 u, and 1 c?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4858, -1\/3, -2292.\nAnswer: -2292, -1\/3, 4858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 11:00 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 - -56. Let d = 18 + v. Suppose 0*u + u = d. What is the remainder when 59 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - (-4)\/(-2) - -3. Is 1*(3 + 77 + o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/15)\/(-2) - (-16430390429)\/(-36060). Let t = o + 455640. Let g = t + 438793\/252420. Calculate the common denominator of 25\/16 and g.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 381 = -6*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2 + 152*q\/3 + 52\/3.\nAnswer: -4*(q - 13)*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1197.00004645 - -1197. Round t to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -4*g + 2*k - 744, 3*g = -3*k - 543. Let l = 541 + g. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 4, 0, 0.9, 505.761?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14*444\nAnswer: -6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*p + 2*p**2 + 1 + p**2 + 111*p to c + m*p + q*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in 0, -5, -2, -396, -0.07, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/3*o + 1\/3*o**2 + 1\/3 = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46179030 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -92*n. Let g(a) = -3003*a. Let j(b) = -3*g(b) + 98*q(b). Let f(o) = 15*o. What is f(j(u))?\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-1)*24\/(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-504)\/(-18) - (-10)\/(-2) - 5. Let h be (-2)\/3 + 1\/(-3). Let t be 1\/h - -1*1. Solve -3*l + k = -0*l + 3*j, j - 2 = t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 347*q. Let r(y) = -347*y + 1. Let i(c) = -6*m(c) - 7*r(c). What is the hundreds digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of q**4\/12 - 14*q**2. Let u(m) be the second derivative of 0 + 0*m**2 - 1\/2*m**3 + m. Calculate p(u(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 54*s**3*t**2*z + 1965*s**3*z**2 - 44*s**3*z + 2*s*t**2*z - t**2*z**3 - 2*z**2 wrt z?\nAnswer: 3930*s**3 - 6*t**2*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - w + 1. Let t(n) = n**3 + 6*n**2 + 7*n - 6. Let i = -15 - -8. Let l(d) = d + 8. Let s be l(i). Determine s*t(p) + 6*q(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -d**6\/45 + 3*d**5\/10 - 5*d**4\/6 + 7*d**3\/9 - 561*d. Factor y(v).\nAnswer: -2*v*(v - 7)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/14 and 3 + 3*55\/(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - r + 10 = d, -r - 3*d = 10. Suppose -4*o - 3399 = -5*a, o + 16 = r*o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - -1*0\/3. Let j be -2 - (-8 + (0 - u)). Suppose -j*g + 4*b = -2*g - 176, 4*g - 4*b = 344. Calculate the greatest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -511*o + 0*o**3 - 582*o - o**3 + 1093*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 17 = 2*d, 24 = 5*d + 3*q - 23. Suppose 5*l - 27 = b + 1, -5*b + d = 0. Suppose -2*h - 56 = -l*h. Calculate the remainder when 27 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -3*i + 101. Let n = i - 41. Suppose 0 = n*q - 7*q - 200. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.7715 + 3.163. Let h = 0.16 + -1.76. Let m = w - h. What is m rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3960 and 84960?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 28 = -7*c. Solve 3*k = -2*q + c*k - 16, 0 = -2*q - 3*k - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.7 - -3.1. Put -0.1, 0.1, r in ascending order.\nAnswer: -0.1, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37314*b - 2 + 1 - 3 + 4.\nAnswer: -37314*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 360054, 720115, 1080176, 1440237, 1800298, 2160359?\n\"Answer: 360061*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 7*t**2 - 21*t. Let d(y) = 7*y**2 - 18*y. Give 7*d(c) - 6*o(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -531 + 365. Let b = h - -756. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3689.531ng in micrograms?\nAnswer: 3.689531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -7*n**2 + 3*n + 2. Let q be v(-2). Let l be (q\/20)\/(28\/(-10)). Let t = 0 + 0. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81580 + -31661. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 497 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 5 = -5*t - 4*j, t + 3*j = 5. Solve -g + 2*g = -t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -258*l**3 + 2*l**2 + 2*l + 1. Let z be n(-1). Suppose 0 = 2*o + w - 102 - 45, -5*w = -4*o + z. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 208*a**3*n**2 + 5726121*a**3 - 96022*a*n**2 - 21*a wrt n.\nAnswer: 416*a**3*n - 192044*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 7*z - 34*z)*(0 - 1 + 3).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126*p - 3 + 80*p + 3 + 53*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(-1\/4)\/d*d)**(-3\/16)\/((d\/(d**(1\/3)*d*d))\/d**(-1\/2)))\/(d**(-2\/9)\/(d*d**6))**3 assuming d is positive.\nAnswer: d**(1419\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 7 = -w, 2464 = -2*h + w + 2467 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 15 - 18 + w**2 - 14 + 4*w + 0. Suppose -5*j - 31 = -4*k, -j - 2 = -0*j - 5*k. Let s be a(j). Solve b = 3*b - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419815?\nAnswer: 5, 11, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6 + (-116)\/(-20))\/1. Sort -8.3, j, 5 in decreasing order.\nAnswer: 5, j, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*g**5\/4 - 233*g**4\/4 + 11*g**3\/2 = 0 for g.\nAnswer: 0, 2\/21, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 - 3170*l.\nAnswer: 5*l*(l - 634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*j**2 - 80*j**2 - 96*j**2 + 2*j - 7*j**2.\nAnswer: -172*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -38*n**3 + 18*n**2 - 380*n - 18. Let s(q) = -32*q**3 + 15*q**2 - 317*q - 15. What is -11*a(c) + 13*s(c)?\nAnswer: 2*c**3 - 3*c**2 + 59*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10136 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 500150 from 1214529395.\nAnswer: 1214029245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-14 - -7) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -127 - -127. Which is the nearest to i?  (a) 1  (b) -0.08  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 8*y + 55. Let t(c) = -c**3 - 7*c**2 + 7*c - 4. Let s be t(-8). Solve -5*g = y + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = x - 35206 + 35177, 2*x = -2*t + 34 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -3*l**3 + 7*l**2 - 4*l. Let u(w) = 18 + 6*w - 44 + 21. Determine -5*g(f) - 14*u(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -14174 times 0.289?\nAnswer: -4096.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2*p - 1 - 3*p + 0*p + p + (2 + 2 - 5)*(2*p - p + 0*p) - 4*p + p + 2*p)*(-p + 4 - 4 + (-3 - 1 + 2)*(-1 + 2*p + 1)) to n*p + y + c*p**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*(6 + (-19 - -9)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of -3*x**4\/4 - 17*x**3 - 21*x**2 + 96*x + 328. Factor p(n).\nAnswer: -3*(n - 1)*(n + 2)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 4 - 4)*(-4 + 1 + 2)*(0 + 1 + 2).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of 2*p**6\/75 + p**5\/10 + 2*p**4\/15 + p**3\/15 - p + 2. Let w(x) be the first derivative of a(x). Factor w(s).\nAnswer: 2*s*(s + 1)**2*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300)*-1*3 + sqrt(1300))*-2 + (((2*sqrt(104) + sqrt(104))*6 - sqrt(104))\/(sqrt(48)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 40*sqrt(13) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29366.\nAnswer: 2, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -40\/7 in -0.03, 2\/7, -1\/75, 2\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 64555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*u - 41*u + 21*u + 40.\nAnswer: -5*u + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d\/(d\/((d*d\/(d**(1\/3)*d*d))\/d)))\/d)\/d)**(-1\/42)*(d**8*d)\/d**(1\/5))**(-2\/97))**(-1\/35) assuming d is positive.\nAnswer: d**(5594\/1069425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -2. Let v = -26 + 36. What is the lowest common multiple of i and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of 6*a**3 - 7*a + 11. Differentiate n(w) with respect to w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -1a584?\nAnswer: 1a582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5257 at most as big as 5257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 295 = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-32)\/(-12))\/4 + (-746)\/(-6). Let y be (-396)\/(-16) + (-2)\/(-8). Calculate the greatest common factor of y and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 4*h = -212, -3*b - 2*h = -b + 106. Let p = b - -75. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**3 + 47*q**2 - 66*q + 69. Calculate c(22).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 12. Let c = v - -1. Solve c = 4*w - q - 4*q + 9, 0 = -2*w + 4*q - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.015532535 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1290 divided by -267\nAnswer: 430\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110111000111 - -101100000001010?\nAnswer: 1000010111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 259*y**4 - 5740*y**3 - 951475*y**2 wrt y?\nAnswer: 6216*y - 34440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(1050) + sqrt(42) + sqrt(42)) + sqrt(378)\/(sqrt(9)*1) + sqrt(42))\/(1*sqrt(150) + sqrt(150) - sqrt(24)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 1792\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 396, 1076, 2192, 3834, 6092, 9056, 12816?\nAnswer: 17462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, s: 1, p: 1, u: 3}. What is prob of sequence pj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 15, -5 + 17 = -5*x + 4*p. Suppose x = -10*o - 38754 + 106444. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6*(1 + (-3)\/9). Let p be (-176)\/(-28) - j\/(-14). Let g be (-2)\/(-10) - 88\/(-10). What is the greatest common factor of g and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 461478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14612196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-2)*26884\/(-275). Let t = 246 - c. Factor 2*d**3 - 24\/5*d**2 + t*d + 0.\nAnswer: 2*d*(d - 2)*(5*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 26146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/2, -12, 0.5, 30, -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 390089?\nAnswer: -39008a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -4*f + 58. Let s(o) = 6*o + 1. Let a be s(12). Let r = a - f. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -576, 1570, -1 in ascending order.\nAnswer: -576, -1, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20750358731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/7  (b) -1\/7  (c) -640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -38*p + 128. Let v be -1 - ((6 - 3) + -5 - 2). Suppose 0 = -3*s + 2*s + 20. Calculate the remainder when s is divided by z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j + 1. Suppose 3*b + 0*k - 5*k = 131, 4*k = -4*b + 196. Let g = b + -73. Let u = g + 24. Let o(c) = c. Calculate u*s(f) - 5*o(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36 + 15. Let d = r + 26. Let y(v) be the first derivative of v**3\/3 - v**2 - 7*v + 3. Determine y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28802390 divided by 10.\nAnswer: 2880239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 120151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 340\/14 - ((-32)\/(-14) + -2). Let n = -23 + i. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480\/(-144)*(-6)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1.68 * 0.2\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 29*c**2 + 27*c - 83. Let r be j(28). Which is greater: r or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 0 - 13 = -5*o, 4*q - 31 = -3*o. Suppose w - j = -1 + o, -3*j = 3*w. Suppose -4*n = 16, -25 = -d - w*n + 49. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/17 or 1\/13?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 74*j**5 + 22731*j**4 + 9389557*j**2.\nAnswer: 4440*j**2 + 545544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n**2 + 0*n + 0*n. Suppose -a - 5*a + 12 = 0. Let k(q) = -q - 1. Let h(c) = c + 2. Let m(f) = a*h(f) + 4*k(f). Give p(m(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 41*w**6\/10 + 3*w**5\/20 - 5*w**4\/12 + 9*w**3 - 54*w. What is the third derivative of x(c) wrt c?\nAnswer: 2952*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) - sqrt(108)*1)*-5*-2 + -3 + -5)*-3 + -1)**2.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*(0 + sqrt(245)*1 + -1 + 4 + -1 + sqrt(245) + -2)*2)**2.\nAnswer: 62720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42*-57.\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 173*i + 3208. Let m be b(-21). Let d(g) = g**2 - 2*g - 1. Let c be d(3). Solve -3*k + c*n = k - 10, m = 5*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -96623, -96527, -96431, -96335, -96239, -96143?\n\"Answer: 96*d - 96719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((2 + -3)*61)\/(3\/(-3)). Let q = c + -34. Calculate the remainder when 51 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -14*a**2 + 2*a + 1. Let y be i(-1). Let w be y\/(-20)*(-1)\/(-3). Let u = -211 - -212. What is the smallest value in 2\/17, u, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yjjj when four letters picked without replacement from {j: 4, d: 4, y: 5, t: 6}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41776 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 10*y**2 - 10*y - 5. Let t be h(-9). Suppose t*a + 14 = 6. Put a, -3, 4 in descending order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2 - 5)*(1342 + 3049 + 11521)*(4*b - b - 4*b) as u + c*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 + 34*f + 8. Calculate the remainder when s(34) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -256*v - 26. Let k be c(-5). Suppose 5*y = d + 291, -4*d + 4*y - 2*y - k = 0. Is 3 - (d - -2)*8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*g**3 + 264*g**2 + 265*g + 5 wrt g?\nAnswer: -72*g + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 15008 + 14990 = 3*a, -3*j + 11 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/6 + (-6)\/9. Let m(b) = -1 + b**2 + b + 3*b + 3. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6992, 5972, 4950, 3926, 2900, 1872, 842?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (5 + (sqrt(80) - -1*sqrt(80)) - sqrt(80)) + sqrt(80) + 0 + 2 + 1)*-4)**2.\nAnswer: 1280*sqrt(5) + 5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -411579530*x**6 - 3214*x**2 + 6380*x + 2 wrt x?\nAnswer: -49389543600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -8.31, 4, 0, 5?\nAnswer: -8.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 8*i**2 - i - 11. Let g be t(4). Suppose g + 147 = 5*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349412.\nAnswer: 2, 7, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 44, -79, -262, -511, -832, -1231, -1714, -2287?\n\"Answer: -u**3 - 24*u**2 - 44*u + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*y = -8066 - 3334. Let n = 56 - 18. What is the greatest common factor of n and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**3 - 4*o**2 + 3*o - 1. What is the units digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.3  (b) -196.9  (c) -4  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*p - 107 + 53. Solve -16*c + 13*c + p*u = -5, 2*c + u - 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-63)\/(-15) + 627\/(-165). What is the closest to 1 in l, 4, 152?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-2)\/8)\/((-51)\/(-136)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1427*n + 42628 - 7318 = 250*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**2 - b**2 + 0*b**2 + b**2 + b - b + (0*b + 2*b**2 + 0*b)*(-2 - 2 + 2) + 2*b - 2*b + b**2 as u + d*b + r*b**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 15 = -h. Suppose 9*x - h*x = -8. Let z(p) = 1 - 3*p**2 - 3 + 2*p**2. Let j(v) = 5*v**2 + 9. Calculate x*j(d) - 9*z(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -121, -216.7, -3\/4, 1, 3 in descending order.\nAnswer: 3, 1, -3\/4, -121, -216.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.85 + 0.15. What is the biggest value in u, -0.4, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**4 + 717948*j**3 - 128862332676*j**2 = 0. Calculate j.\nAnswer: 0, 358974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 27.863\nAnswer: 83.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rsr when three letters picked without replacement from {k: 4, r: 2, d: 1, s: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 4 + (sqrt(396) - (sqrt(396) + -1)*-3 - sqrt(396)))*6 + 3)**2.\nAnswer: -3240*sqrt(11) + 128529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 750 = 8*t - 2*t. Suppose 0 = -5*q + 295 + t. Suppose -4*p + 4*l = -q, -l - 2 + 23 = p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 645 and 20898.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40646.\nAnswer: 2, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2177.\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7, i: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 3*z, -r = 2*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.6, 28, 5\/3 in decreasing order.\nAnswer: 28, 5\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**6\/120 - b**4\/24 - 3*b**2\/2 + 1. Let s(u) be the second derivative of d(u). Let s(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100 + -6878*116\/(-4408)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(75)*-3 + sqrt(108) + 0)**2 + 4.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5732397 divided by 9.\nAnswer: -636933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u*u\/(u**40\/u))\/u)\/u)\/u*u**1\/u*u assuming u is positive.\nAnswer: u**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*y + 166, -z = 4*y + y - 92. What is the highest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31924 or -31170?\nAnswer: -31170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 10*g - 9. Let l be n(10). Let k = l + 11. Suppose k*a = 3*o + 8, 0 = o - a + 3 + 1. What is the nearest to 1\/3 in -4, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/8))\/(n\/n**(-3\/19)*n*n)*(n**3*n)\/(n\/n**(-4\/19)) assuming n is positive.\nAnswer: n**(115\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 + -10 + -9 - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6357 in 0.3, -5, 0.0173?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a + 11. Let p be z(5). Calculate the greatest common divisor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(32\/(-204))*44. Let h be 4\/14 - w\/77. Let n(o) = 4*o**2 + 4*o + 4. Does 38 divide n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 3*d - 2*d)*(-4 + 1 + 1) + 2 - 3 - 5*d + 7*d as j*d + n and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 154, -0.6, -4\/5, -1\/2, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 4*j. Let h be (-3 - -5)\/((-3)\/3). Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 5:24 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-158)\/(-4) - 15\/10. What is the common denominator of v\/(-8)*(-30)\/(-25) and -48\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + d + 2*d - 5*d.\nAnswer: -2*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 56862 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**5\/30 - 9*s**2\/2 - 7*s. Let v(m) be the first derivative of p(m). Let u(t) = 3*t - 3*t + 2*t. Determine v(u(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6717, -0.1, 4\/9, 1.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 5)*(2 - 2 + 2*i)*(-66*i + 4*i + 6*i)*(-2*i**2 + 0*i**2 + 4*i**2) + (-1 + 3 - 4)*(4*i**4 - 6*i**4 + 0*i**4).\nAnswer: -220*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75 and 2325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b - 4. Let k(v) = -1. Calculate 10*k(y) - 2*m(y).\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/2 + 18062070*l - 163119186342450.\nAnswer: -(l - 18062070)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(-7) + -40 + (-6371)\/(-161). Put -3, 42.4, -2, b in descending order.\nAnswer: 42.4, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence py when two letters picked without replacement from {w: 1, q: 1, l: 1, y: 1, p: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 5:10 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*(-8)\/96)\/((-9)\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5*((-8)\/(-2))\/(-3 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1921, 14775, 49671, 117631, 229677, 396831?\n\"Answer: 1837*i**3 - i**2 - 2*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*f - 85 = -89*f - 2*b, 0 = 2*f - 5*b - 82. What is the remainder when 123 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u + 7. Let x be o(3). Sort x, 0, 5, -2.\nAnswer: -2, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1419*u**3 + 42 - 93 + 51 - 6*u**3 - 2*u**3 + 3*u**3 + (4*u**2 - 4*u**2 + u**2)*(-5*u + 5*u + 2*u) to the form a*u**2 + z + q*u + b*u**3 and give b.\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -8*l. Suppose 0 = -4*x, -g - 2*x - 93 = 3*x. Let p = g + 101. Let n(q) = -9 + 1 - q + p. Calculate n(w(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 - t. Let x(n) = 9*n + 1. Determine -2*g(c) + x(c).\nAnswer: -2*c**2 + 11*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 9 = -4*w + 61, 2*w + 5*t - 47 = 0. Which is the biggest value?  (a) 0.4  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8160 divided by 6?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**4 + 0*l**4 - 5*l**4 + (-3*l**4 - l**2 + l**2)*(1 + 3 - 6).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 32*k**2 - 222*k - 228. Let g be l(38). Solve 50*s - 46*s + 4 = g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 51524 and 360668?\nAnswer: 360668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 6*q + 422. What is the least common multiple of 2 + 16*(-3)\/(-6) and k(22)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of -5905*k**4\/12 + 159*k**3\/2 + 47*k - 14. Find the second derivative of f(z) wrt z.\nAnswer: -11810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -306746 (base 8) to base 13.\nAnswer: -37497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(-4)\/2*(-80)\/(-12)*89\/4450?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 57*y - 24. Calculate u(3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.4034148 + -17.4489. Let y = 0.0456 + t. What is y rounded to 6 dps?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*k = -34, y + 0*k = -4*k + 29. Let z = -51 - -57. Suppose 9 = -z*x + 147. Calculate the remainder when x is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -2*o - 479 + 69, o + 4*n + 215 = 0. Let w be (-36)\/12*o\/3. Suppose 2*k - 4*m - 84 = -3*m, -w = -5*k - 3*m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 3*i. Let d be 16\/(-9) + (-4)\/18. Let b be o(d). Suppose b*n - 17 = -5. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 2*i - 3*j + 89, 2*i + 2*j + 84 = 0. Let u = i + 47. Solve 3*w = 5*l + 7*w - 18, 3*l - 14 = -u*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*k = 14096138 - 14083262 for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) 0.9249  (c) -5\/3  (d) 2\/5  (e) 1\/3  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 6*c = -4*w + 8, 2*c + 5*w = 16. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 1\/2, -7, 30\/289?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/9 - 26*i**2\/9.\nAnswer: -2*i**2*(i + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in -69, 0.2, -2\/63, -1, 5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17309057?\nAnswer: 19, 911003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(1\/3)))**(-40))**(4\/7) assuming o is positive.\nAnswer: o**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -846*o = -865*o + 57. Solve -24*h = -25*h - 2, o*f = -5*h - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5612 + -5604 - ((2 - 4) + 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/45*(-50)\/(-10). Put -0.02, 0, m in increasing order.\nAnswer: -0.02, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13208*t - 4382*t - 4406*t - 4417*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7241 is divided by 906?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 9 = -z, 0 = 3*z + w + 21 - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 + -21. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29165 - 29306.17. Let i = v - -141. What is the third biggest value in -2\/7, -1\/4, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d + 1. Let f = -5 - -7. Let w(m) = f*m + 2*m + 3*m - 4*m. Let l(k) = 2*h(k) - w(k). Find the first derivative of l(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*z + 4982 = 3*c + 13*z, -4*c + 6671 = -z. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 3*u - 86. Let f = -35 + u. Suppose -2 = -2*o + 3*n, 5*o + 6*n - 3*n - f = 0. Solve m = -4*z, 4*m - 5*z = -17 - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1292846, -11, 2.\nAnswer: -11, 2, 1292846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*g**2 + 0)*(0*g - g + 3*g) + 58*g**3 + 111*g**3 + 226*g**3 to the form r*g**2 + c + s*g**3 + f*g and give s.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -184*w**5\/5 - 484*w**3\/3 - 121. Find the third derivative of n(h) wrt h.\nAnswer: -4416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 48*m + 48. Let y(k) = -k - 1. Let g(t) = j(t) + 40*y(t). Let f(a) = -a - 1. What is 18*f(h) + 2*g(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 4:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((65 - 437)\/(-62) - 1424\/238).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 5*b. Suppose 8 + 16 = 4*u. Let c(y) = u - 6 + 3*y. Give t(c(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -3*h**5\/5 + 42*h**4 - 423*h**3 - 162*h**2 + 15228*h - 9107. Factor j(q).\nAnswer: -3*(q - 47)*(q - 6)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.82 + -77.82. Let m = 74 + g. Which is the smallest value?  (a) m  (b) -2  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkupuupkkkpukuupk. What is prob of picking 3 k?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1388 is divided by 455.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1686040 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-99)\/72 + -4*(-1)\/(-160)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 8*w = -4. Let p be (3\/(-6))\/((-1)\/w). Solve 4*y + 3 = 5*z, p = -3*z + y + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 75.20056 litres?\nAnswer: 75200.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1910000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 7) + -1 + (0 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.08 - 0.08. Let u = 18.58 + -20.6. Let h = u - -0.02. Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347 - 2*l + 347.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.127 and 0.5?\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -3*k**4\/5 - 546*k**3 - 618339*k**2\/5 + 248976*k - 623808\/5 = 0.\nAnswer: -456, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 318\nAnswer: 1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*o + 180*o - 352*o = 80 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -77*v - 1544. Determine f(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 211 divide 6744193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -182*p**2*t**3 - p**2*t - 3*p**2 - 4*p*t**3 + 535*p*t**2 - t**3 wrt t.\nAnswer: -1092*p**2 - 24*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 3:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 267000 = 25*o - 26*o, -b = 0. Round o to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 7*d + 3*d - 3*d)*(6*d + 3*d - 4*d).\nAnswer: 35*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tlnt when four letters picked without replacement from {f: 1, u: 2, g: 1, t: 2, l: 1, n: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 697 = u - 4*z, -4*u + 4*z + 2922 - 170 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 179 + -180. Sort 0.3, l, -3\/25 in increasing order.\nAnswer: l, -3\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = m - 27, -5 = -0*i - i. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 5*c**3 + 2*c**2 - 5*c - 18. Does 50 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1280d6 (base 15) to base 7.\nAnswer: -10355262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 15*h**2 - 2*h - 28. Let k be s(-15). Let y = -31 + 43. Which is the third smallest value?  (a) k  (b) y  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + (-4 - -93) + (-11 + (-9 - -15) - -2)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -414, 29688 in ascending order.\nAnswer: -414, -3, 29688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 1. Suppose -4*v - 18 = m - 0*v, -b*m - 3*v - 9 = 0. What are the prime factors of 3*m + 1\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2063 - 1966. What is the remainder when 278 is divided by b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**2 - 3*b**2 - 5*b**2 + ((-5 - 5 - 3)*(3*b - 5*b + 3*b) + 0*b + 4*b - 5*b)*(-b - 2*b + 0*b).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -12. Is 27 a factor of (3\/6)\/(s\/216)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 26*h**2 + 31*h**2 - 55*h**2. Let o(i) = -12*i. Give j(o(d)).\nAnswer: 288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 14*d + 5. Let u(p) = -p**3 - 15*p - 6. Determine 6*s(o) + 5*u(o).\nAnswer: o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*q = 2*q - 10, -5*o - 5*q = -45. Let r = -108 - -30. Let s be r\/(-65) + 1\/(-5). What is the greatest common factor of o and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-10 - -12 - -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006423 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -264131, -264121, -264109, -264095, -264079, -264061?\n\"Answer: r**2 + 7*r - 264139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4811 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.2 + 2422. What is p rounded to the nearest ten?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**7\/70 - v**3\/2 + 3*v**2\/2 - 2*v. Let c(g) be the first derivative of q(g). Differentiate c(l) wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -799, -480, -161, 158, 477?\n\"Answer: 319*z - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 29\/3705?\nAnswer: 29\/3705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 5, 3681, 2\/7, 6, -0.3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82 - 58. Let t = 34 + 1. Let o = t + -19. What is the greatest common factor of o and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 greater than or equal to -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2926870 is divided by 1416?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38*a*c**3*q - 2*a*c**3 + 2*a*c**2*q + 92*a*c**2 + a*c*q - 114*c**3*q - 2*c**3 + 7*c**2*q - 3*c*q wrt c?\nAnswer: -228*a*q - 12*a - 684*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5488.088 + -5466. Let a = 18.9 - -3.1. Let r = w - a. Round r to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v + 16. Let s(i) = 1 - 2*i + 8 - 12. Let h be s(10). Let y = 16 + h. Let f(o) = -2*o - 11. Calculate y*f(l) - 5*p(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 + 124 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -m**3\/6 - 2*m**2 + 6*m. Let x be s(-7). Factor -16*v**2 - 9*v**x + 12*v - v**3 + 14*v**3.\nAnswer: 4*v*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*m = -2*m - 3, 5*m - 12 = -4*o. Suppose -4*h - 4 - 20 = -2*n, 2*h = -10. Solve -2*z - o*d = -6, -n*z - 3*d + 4 = -d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4337 is divided by 200.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -638 + 632.954. Let j = s + 0.046. Let r = 135 + -135.4. Which is the second smallest value?  (a) r  (b) -3\/2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183 = -17*f - 81 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-286)\/(-143))\/((-4)\/(-16814))?\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523 a factor of 15638164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (32\/40)\/((-4)\/25240*-4). Let l = c + -465. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1898 + -1081. Let r = 1724 - d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f = -4*k + 116, 537*k - 2*f = 535*k + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*q + 326*q**2 - 326*q**2 - 222*q**4 + 0*q**3 - 8*q + 4*q**3 + 2 wrt q.\nAnswer: -2664*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o**2 - o**2 - 8*o**2 + 16*o**2. Suppose 2*v = 2 + 8. Let t(l) = -10*l**2 + 7*l**2 - v*l**2. Calculate t(j(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440) + sqrt(440) + sqrt(440) + (sqrt(440)*1 - sqrt(440)) + sqrt(440))\/sqrt(11))\/(5*sqrt(200)).\nAnswer: 4*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (454\/8)\/((-42)\/336). Let h = 458 + j. Factor -1\/2*n**h - 1\/2*n**3 + 1\/2*n**2 + 1\/2*n + 0.\nAnswer: -n*(n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 545*u + 5449 = -3032 + 1941 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 35, 48, 57, 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -8*n. Let g(k) = -76*k + 8*k**2 - 68*k - 66*k + 210*k. Calculate v(g(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*-4*(-3)\/(-48)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -153 divided by 9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b**2 - 5*b**2 + 2*b**2)*(-3*b**2 - b**2 + 3*b**2)*(-b + 0*b + 0*b) + b**5 - 4*b**3 + 4*b**3.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 2)*(-4 - 26 + 3)*(-15492 + 15492 + 43*x) as k*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -4. Let m = o + 12. Does 13 divide (m + -8)\/(2\/53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - (33\/(-22) + 7\/2). Let c(v) = v**2 - 3*v - 6. Let h be c(5). What is the greatest common factor of p and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*sqrt(700) - sqrt(700))**2.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14450 is divided by 7040.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/463 + -960\/7871. Let x = 2844481\/85 + -33465. Let m = h - x. Is m at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3763*k**4 + 3*k**2 + 44*k - 5 wrt k.\nAnswer: 90312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + q - k = -22, -3*q + 12 = 3*k. Let b(o) = -o - 343 + 398 + 3*o. Let h be b(4). Calculate the greatest common divisor of q and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 2:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -69 (base 11) to base 6\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1810431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 2*o - 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b + b + b + (0 - 2*b + 0)*(0 - 5 + 4) + 0 - b + 0 to the form i*b + p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of -1\/20*s**5 - 1\/2*s**3 - 3*s**2 - 5\/12*s**4 + 0 + 15*s. Suppose -5*q + 0*z + 3*z - 34 = 0, -2 = -2*q - 4*z. What is l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47825*b**2 - 95606*b**2 + 47799*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25244223 is divided by 116.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lkklllkklkkk. Give prob of picking 3 l and 1 k.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1175, 2346, 3517, 4688, 5859?\nAnswer: 7030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12 - (6 - (16 + -22)). Which is smaller: -2\/2471 or i?\nAnswer: -2\/2471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2001 - 0?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*y = 4*j - 7*y - 43 + 27 + 59, y - 2*y = 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 10340\/(-18612)*(-4)\/5\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 3\/8  (c) 0  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by (-7)\/(14\/45)*(-3 + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2374 divide 214957579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.5 - 105.5. Let d = z + 93.2. Let k = -10 - d. Put 5, 0.2, k in ascending order.\nAnswer: k, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(13)*2 + sqrt(468) + 2*sqrt(468) + sqrt(468))**2 + 1 + 3.\nAnswer: 8792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81 - 49. Let u = -33 + k. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 50*h**2 + 28*h + 115. Let w be r(-5). Calculate the highest common factor of 49 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5422222 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 6466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 7:43 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7624452258 - -918?\nAnswer: 7624453176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 46994 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: Collect the terms in -36*w**2 + 34*w**2 - 23*w + 23*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (9 + (4 - -5) - -8) + 4 + (7 - 5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 21*c + 6 - 14*c - 2*c - 11*c in the form n*c + o and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1 = -3. Suppose -5*w + 5*i = -595, 4*i = 6*i + v. Let f(q) = 22*q - 9. Let d be f(1). Calculate the highest common divisor of w and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(1\/6)*c*c)**(-28)\/(c\/(c\/(c*c**(-3\/10)*c*c))*c**(-8)))**(-2\/77) assuming c is positive.\nAnswer: c**(2501\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9684790915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 20. Let h = -18 - x. Let q = 1 + h. Which is the second biggest value?  (a) -0.1  (b) -1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 85*j**4\/3 - 730*j. Let i(w) = -11*w**2. Give i(z(r)).\nAnswer: -1271600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 17a695 (base 11) in base 3?\nAnswer: 112002220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 53*n + 23*n - 380 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/((-4)\/26))\/(-22). Let s = -5383\/4884 - -5\/444. Let k = s - r. Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + g**2 + 2*g**2)*(2*g - 7*g + 3*g) + (3 + 0 - 6)*(-18*g**3 - 5*g + 5*g).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4*a**3 + a + 360*a**2 - 192*a**2 + 34*a**2 - 177*a**2 as p*a**2 + u + z*a + l*a**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 14*z**2 + 12*z + 15. Let s be q(13). Factor -6*x**2 - 12*x - 3*x**3 - x**3 + 22*x**s.\nAnswer: -4*x*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 6406932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1206*r + 408*r + 86649 = 360*r + 276003 for r.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3432*n**2 + 695*n**2 + 811*n**2 - 8738*n**2.\nAnswer: -10664*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 95 and 390.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 320 and 112?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1155 = 545*l - 556*l. Is 637\/6 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5317 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -96, -195, -268, -303, -288, -211, -60?\n\"Answer: 2*z**3 + z**2 - 116*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -9, -1192 in decreasing order.\nAnswer: 28, -9, -1192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -200 - -6201\/31. Let k(s) = s**3 + 7*s**2 + 7*s + 9. Let f be k(-6). Suppose -4*a - 4 = 2*y, f = y - 0*a - 3*a. Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61081.71m to millimeters.\nAnswer: 61081710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 294, 457, 620, 783?\n\"Answer: 163*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*s - 35 + 67*s - 126*s.\nAnswer: 3*s - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-20)*(-26275)\/2102?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 84363343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -325849490753 - -6\nAnswer: -325849490747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 440\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 962.9764 litres to millilitres.\nAnswer: 962976.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -6. What is the derivative of 1 - 2*g**4 + 2 + f - 1 wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 3) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 56166839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1.9236 times -539.2\nAnswer: -1037.20512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9834588 times -2?\nAnswer: 19669176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 0*s - s + 44 = 0, -4*s = -2*v - 2583 + 2407 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -7. Let l = -2 + v. Find the first derivative of -5 + 8*j**l - 6*j**4 - 6*j**4 wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, u: 2, x: 2, s: 5, w: 8}. What is prob of picking 1 x and 1 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2225808 and 6929?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.908014 rounded to three decimal places?\nAnswer: -0.908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 388672 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 5*r**2. Let d(b) = -61*b + 1. Calculate d(a(p)).\nAnswer: -305*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**4\/v*v*v)**(-1\/31)\/(v*v\/(v**10\/v)*v**0\/v))**(-18) assuming v is positive.\nAnswer: v**(-4356\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1037*u - 8*u**2 - 2130 + 2168*u - 11*u**2 + 11*u**2 - 7*u**2 = 0. What is u?\nAnswer: 2\/3, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 + -6)*((-87850)\/21 - 2).\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/(-4) + -52 + 4. Let a = x + 47. Is a\/((-655)\/(-650) + -1) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2642262 or -2642336?\nAnswer: -2642262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5769, 11541, 17313, 23085?\nAnswer: 28857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d - 36. Give l(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 863134689 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0734231 and 3.\nAnswer: 2.9265769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 + -12. Let g(i) = -1 + s*i - 12*i + 7*i - i. Let c(k) = -k - 1. Suppose -4*y - 1 = -9. What is y*c(l) + g(l)?\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -91, -2\/7, 0.1 in increasing order.\nAnswer: -91, -2\/7, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.110462038 + -102.2.\nAnswer: -102.310462038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkkkkkkkxkbbkkkkxbbk. Give prob of sequence kxxk.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d. Let p(n) = 7*n + 766 - 766. What is f(p(s))?\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -4*i**3 - 1\/2*i**2 - 1\/4*i**4 - 12*i - 4. Let u be r(-12). Solve 2*y - 2 + u = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23470 and 64.\nAnswer: 1502080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 165.9652 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.249978 - 0.25. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14012 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5818?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.56993 to 2 decimal places.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 2*w - 259 = -223, q - 8*w + 9 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oao when three letters picked without replacement from oaaaaaoaaaoaaaa.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 818\/(-6)*(-69)\/23. Suppose -8*y = -p + 361. Which is the third biggest value?  (a) -4  (b) -1  (c) 2  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f + 44 - 5 = 0. Let c be (29\/f)\/((-176)\/288). Does 15 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.4 + -2. Let t = 11.3967 + -11.4967. Which is the nearest to -84?  (a) t  (b) n  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*s - 56*s - 366475 = 1082*s + 1410*s for s.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c**2 + 14*c**2 - 5*c**2)*(25 + 23 - 6) in the form s*c**2 + i + v*c and give s.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 + 8. Let s = d - -6. Let q = s - -2. Put -1, 0.4, q in descending order.\nAnswer: 0.4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1664652 + 116?\nAnswer: 1665101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(6\/11)\/d*d**9)**(-13) assuming d is positive.\nAnswer: d**(-1222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 9:05 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (112\/11)\/(-2) - -5. What is the nearest to q in 2\/13, -4, 2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2 - 60*q.\nAnswer: -4*q*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 262210\/156 - (1 - -2 - 95\/30). Calculate the greatest common factor of z and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 5*r = 107, b - 2*b = -3*r - 48. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 + (34 - -25) + -182?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 f when three letters picked without replacement from {f: 2, c: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 + 15)*-2*(-1)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 151, -287, -1015, -2033, -3341?\n\"Answer: -145*j**2 - 3*j + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l**3 + l**2. Let m(h) = h**2 - 7*h - 2. Let y be m(8). Suppose f + 16 = -j + y*f, -3*f + 7 = 2*j. Give o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76414 is divided by 1959?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11834 and 52338.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k + 9. Calculate the lowest common multiple of t(-7) and (-14 - -89)*(-2)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -1088896?\nAnswer: 3\/1088896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1260870*o + 1260872*o = 0. Let d = 124 - 866\/7. Factor -2\/7*r**4 + 0*r + d*r**2 + o*r**3 + 0.\nAnswer: -2*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m*m**(1\/2))\/m))**(-37)*(m*m**(-1))\/m**0)**(-3\/5) assuming m is positive.\nAnswer: m**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, u: 6, k: 2, p: 4, c: 4}. Give prob of sequence kpkm.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-5\/2)*p**(4\/11))\/(p\/p**10*p*(p*p\/(p*p**13)*p)\/p) assuming p is positive.\nAnswer: p**(393\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40573, -80976, -121379?\nAnswer: -161782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 - 81*z + 372.\nAnswer: -3*(z - 4)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2194907?\nAnswer: 11, 13, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 4*k**2 - 5*k - 3. Let x be v(-5). Sort -5, x, -6 in ascending order.\nAnswer: -6, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*r - 1 = 0. Sort 0.1, 2, r in ascending order.\nAnswer: r, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39400\/46125 - 8\/10 and 19\/164?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -1530, 1\/2, -0.5 in descending order.\nAnswer: 1\/2, 0.3, -0.5, -1530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 16*i. Let z(g) = 3*g**2 + g - 90. Give z(s(d)).\nAnswer: 768*d**2 + 16*d - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -29, -4, 1\/3 in descending order.\nAnswer: 1\/3, 0.3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(2 + 0))\/(-2). Suppose a = -z - 6. List the prime factors of (z\/5)\/(30\/(-200)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + ((sqrt(16) + sqrt(784)*-1)\/((sqrt(8) + sqrt(392))*2))**2).\nAnswer: 55\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 4*m + 75. Let n(b) = -24*b + 16. Let s(o) = -5*o + 3. Give m*s(w) + 2*n(w).\nAnswer: 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 338 + -368.448. Round h to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38429 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 24 = -4*h, 0*h - 4*h = 2*m + 12. Let x = 2 + m. Let n = 3 + 0. Solve -x + 0 = -n*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.01 - 0.09. Let b = -0.39 - 0.01. Let m = b + c. What is the third biggest value in -3\/7, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**6\/120 + g**4\/6 - 3*g**2\/2 + 7. Let u(h) be the second derivative of s(h). What is the second derivative of u(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 715366958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 385*w**5 - 50977*w**3 - w**2 - 474173 wrt w.\nAnswer: 23100*w**2 - 305862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -32 divided by -5914\nAnswer: 16\/2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-12 - -15)*(-46)\/36 - 3 and (-4)\/((-8)\/(-45)) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {t: 1, d: 2, v: 1, j: 3, u: 1, g: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*z - x - 7 = -41*z, -3*z + 6*x - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -g - 2. Find the third derivative of 17*h**5 - 10*h**2 - h**g - 2*h + 2*h wrt h.\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 11:31 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -v - 1 + 1 + (4*v + 3*v - 5*v)*(3 - 4 + 2) - 2*v + 4*v + 0*v - 2*v + 0*v + 3*v + 0*v - 2*v + 0*v - 173 + 173 + 27*v in the form w + l*v and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 2)*(-2*d**4 - 3*d**4 + 2*d**4) in the form c*d**2 + s*d**4 + p*d**3 + o + q*d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b - 26. Let y be s(-5). Suppose 7*p - 1899 = y*p + k, 2*p - 3*k - 1266 = 0. List the prime factors of p.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 123 + -95. What is the third derivative of -4*q**3 - 21*q**3 + x*q**2 + 46*q**3 wrt q?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**3 + 557*n**2 + 412429*n + 53227615 = 0. What is n?\nAnswer: -229, 1015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of 3*n**3\/2 + n**2\/2 + 4*n. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/859488 and -71\/6804.\nAnswer: 69618528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 10*f - 12 = 0, 3*f + 13 = 2*i. Suppose -2*d = i*u - 2, 5 = -6*u + 3*u + 5*d. Solve 5*s - 10 = -u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 1032693*d.\nAnswer: -1032693*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 127, -3, 34, 1, 9 in decreasing order.\nAnswer: 127, 34, 9, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) 4\/3  (c) -52.4  (d) -0.1  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 117699397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -21. What is the remainder when s is divided by (-4)\/(-2) + 8 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133614796?\nAnswer: 2, 7, 47, 101531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.42 and -8380.1350616.\nAnswer: -8379.7150616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 148476 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -214\/5 greater than -3432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {b: 1, t: 1, l: 1, c: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(13) - (sqrt(13)*1 + 1)) + -2*sqrt(1053)*4.\nAnswer: -72*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 11*n - 10. What is the hundreds digit of m(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/2  (b) 1\/2  (c) -0.1766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.49 + -0.305. Let q = -0.055 + y. Let i = q - 0.389. What is i rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 8*o - 8. Let i = -76 - -70. Calculate t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 + -18. Let g be 6*2\/i - (-3)\/(-6). Let k be (1 - (-2)\/(-3))*3. Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 divided by 2?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 78*m + 306. Let t be c(-4). Let j(l) = 1. Let y(b) = b + 11. What is t*j(p) + y(p)?\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -143763?\nAnswer: -2\/143763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -611*w**3 - 3 + 3.\nAnswer: -611*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 take away 62539?\nAnswer: -62506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 3:10 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((6*(sqrt(500) + 1*sqrt(500)))\/sqrt(10))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/60*50\/4. Sort 0.8, 5, p, -2\/15 in ascending order.\nAnswer: p, -2\/15, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**2 - 533520*m + 17790224400 = 0. What is m?\nAnswer: 66690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/21*(12\/(-10))\/(9180\/675)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2255 + -2254.7. Sort q, -0.0784, 3\/2 in increasing order.\nAnswer: -0.0784, q, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.5, -6, 0.2, 5, 0.3, -1\/28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) + sqrt(304) + 4)**2 + 2 + 3*sqrt(19) - ((sqrt(114) + (sqrt(114) - -6*-4*sqrt(114)) - sqrt(114))\/sqrt(6) + -5))*4.\nAnswer: 360*sqrt(19) + 4956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*a + 18, -5*a + a + 10 = f. Let o be (1 + a)*-1*-9. Suppose 0 = 4*m - o - 73. Solve 4*b + b - m = -5*d, d = 3*b + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 302 divided by -5\nAnswer: -302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of o**4\/24 - 11*o**3\/6 - 2*o**2. Let w be s(11). Suppose w = -v + 3*v - 48. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/(-104) + 388\/13. Calculate the common denominator of -26\/15 and 2\/10 + -7 + (-36)\/g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 31*z**2 + 2. Let x(t) = 58*t - 3. Let k(o) = -197*o + 10. Let h(d) = -3*k(d) - 10*x(d). Determine j(h(p)).\nAnswer: 3751*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuvuuuuuvvuuu. What is prob of picking 2 u?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/(-4) + (-9)\/18. Suppose -234 = 4*n - 3*o - 24, 3*n - g*o + 159 = 0. Let k = n - -87. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33400.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 93 = 5*q, -549*y + 545*y = 2*q - 174. What is the highest common divisor of y and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from {b: 1, y: 1, s: 1, j: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*j + 2*j + 23*j)*(0*j**2 + 0*j**2 + 2*j + 2*j**3 + (14*j - 502 + 502)*(0*j**2 + 4*j**2 - 3*j**2)).\nAnswer: -288*j**4 - 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2951621 is divided by 8291.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 82318.1 to the nearest 100.\nAnswer: 82300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-5\/2))\/(x\/x**(1\/9)))\/(x**(-2\/3)*x*x*(x\/((x**(-1)\/x)\/x))\/x*x) assuming x is positive.\nAnswer: x**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2628569 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7, 1, 11, 23, 37?\n\"Answer: l**2 + 5*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 26645?\nAnswer: -26642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 371608349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 15*a**2 + 6*a - 1. Let c be v(-5). Suppose -4*p + 81 = -3*p + 2*h, -4*p - 3*h + c = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -893.72 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 13) + 7 + -17 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2722 + 104*c - 52*c - 431*c**4 - 52*c wrt c?\nAnswer: -1724*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1403014*i**3 + 2183*i**2 + 2*i + 140 wrt i.\nAnswer: 8418084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 1 = -9. Suppose 0 = -x - 0*x + d*i + 33, -4*x + 88 = 3*i. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.8 * 7\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -947 or -1249?\nAnswer: -1249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27587.9 - 27588. Let k(a) = -a**3 + 3*a**2 + 5*a. Let y be k(4). Let g be (2 - 3) + 22\/18. What is the nearest to -2\/3 in n, g, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -14\/39, 1, -0.1, 60?\nAnswer: -14\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 29 = -15. Suppose -k + 52 = 5*q, -k = 3*q - 9 - 21. Calculate the highest common factor of q and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -129 - -36. Let l = s + 318. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 139 = -11. Let x = -60 - -35. Let r = u + x. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*p, -5*m - p = 4*p - 45. Suppose 5*b + 3*c + 2*c = 1785, m*b - 5*c = 1765. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 253174\nAnswer: 6\/126587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -674012335?\nAnswer: 674012336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61849, 61851, 61853, 61855, 61857?\nAnswer: 61859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j*j**(-2)*j*j)\/j))\/(j**(-9\/4)\/j)*(j**(2\/15)*j)**(-49))**(-39) assuming j is positive.\nAnswer: j**(40001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51 + 56)*(-1 - 0)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - (-16)\/(-7)) + 56\/(-147). Let q be ((-3)\/(-60))\/(3\/8). Let j = 0.2 + 0. What is the nearest to j in q, 1, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m**5\/4 - 487*m**4\/2 + 1787*m**3\/4 + 2389*m**2\/2 - 1647*m - 882 = 0.\nAnswer: -147\/5, -2, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -476 - -500. Let n = 24.3 - s. Put -1\/2, 3, 1.3, n in decreasing order.\nAnswer: 3, 1.3, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*r + 28*r + 33*r)*(2 + 1 - 4).\nAnswer: -85*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x = -48. Let b be (-2)\/8*(-62)\/1426*23. What is the nearest to b in x, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 9:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.8 and -3.86994531.\nAnswer: -4.66994531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*x - 1025026 + 1024901 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and -4 + 2 - -2*3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-344)\/(-72) - 2\/(-9). Suppose -3*d - 14 = -f*d. Suppose 0 = -d*l + 12*l - 140. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134306 divided by -112?\nAnswer: -67153\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 3*z**3 + 2*z**2 - 2*z - 4240. Give p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*x**4 + 539*x**3 - 108694*x**2.\nAnswer: -552*x + 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35112)\/(-3344))\/(5\/(-680)*-14)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 14 + (125 - 69 - 62)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - c + 10 = 0, 3*c - 38 = -4*h - 2*c. Suppose 44 = h*y - y. Let a be 3\/((-72)\/y)*3*-6. Let m(g) = -2*g + 1. Calculate m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + ((sqrt(2299) + 1)*3 - sqrt(2299)) + sqrt(2299) + (sqrt(2299) - -2*sqrt(2299)*-1) + sqrt(2299) + (sqrt(2299) - (4 + sqrt(2299) + 2)) + -2)**2.\nAnswer: -594*sqrt(19) + 20772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 6*x**2 + 3*x - 9. Suppose 0 = -0*n - 2*n + 12. What is the remainder when r(n) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.94 + -6.45. Let x = 0.81 + m. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 525 + -297. Suppose m + 715 = -4*w + 5*i, w + 223 = -3*i. Is w less than -231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -584, 1\/3, 4 in decreasing order.\nAnswer: 4, 1\/3, -8, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 45256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 3*c + 0*c)*(-2 + 5 - 1)*(-c + 3*c + 0*c)*(2*c + 4*c - c).\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 10:47 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*s = h + 168, -3*s = 5*h - 265. Let m = s + -64. Suppose 300 = -m*o + 25*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41648 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8537\/550 + -6\/275. Let b be 0\/(-2) - -1*15. Let n = b - h. Put 2, n, 0.3 in descending order.\nAnswer: 2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 26685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20250, 22088, 25152, 29442?\nAnswer: 34958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*r + 5*r + 6*r + 2)*(-7*r + 3*r - 7*r).\nAnswer: -22*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101917312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 2*y**2 + 5*y - 2. Let q be w(-2). Let z be (4\/(-2))\/(1*-1). Let f(d) = q*d**z + 5*d**2 - d**2 + 8*d**2. Let o(x) = -2*x**2. Give f(o(c)).\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 + 1 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 greater than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 4864\/(-256) + (0 - -5094)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 6*h**2 - 2*h - 22. Let j be i(7). Solve -1445 = -j*q - 1419 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -13, 3, 0.45, -6\/7, 4?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 207746369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 108495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -772817 divided by -33?\nAnswer: 772817\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2616 times -77?\nAnswer: -201432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**2*g*v + 3*a**2*g - 89*a + 102*v with respect to v.\nAnswer: a**2*g + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 16*x**2 - 15*x - 3. Let m be f(15). Let r = -30 + -95. Let j be (2 - 7)*(-10)\/r. What is the nearest to 0.1 in m, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g - 4. Let z be p(9). Let b = z - -34. Solve -b*x - 2 = 5*f, 0 = 5*x - 2*f - 3*f - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -1\/2, 0.2, 2\/17, -2, -5\/4 in decreasing order.\nAnswer: 2\/5, 0.2, 2\/17, -1\/2, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 887260 times 0.5?\nAnswer: 443630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 209*o**3 + 202*o**3 + 3 - 434*o**3.\nAnswer: -23*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2528137763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b + 7. Let t be 5 - 2\/(-3)*3. Let o be i(t). Let r = 1 - -3. What is the nearest to 0.1 in r, o, 5\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.078*0.254945\nAnswer: -0.01988571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 9:20 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 9*c**3 - 2*c**2 + 51*c - 14. Let y be q(14). Let p = y + -17445. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3851, 15358, 34545, 61418, 95983, 138246, 188213?\nAnswer: 245890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 424557479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 21. Let z be x(-6). Suppose 19*r - z*r = 32. Suppose -8*j + r = -6*j. Solve -4*w + 3*w = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25976829.\nAnswer: 3, 8658943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -5  (b) -2\/19  (c) -1\/5541  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**5\/2 + 146038*q**4 - 21329725693*q**3\/2 + 191892182209*q**2 + 2047088260672*q + 4435489518928 = 0. Calculate q.\nAnswer: -4, 26, 146029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 12. What is the second derivative of 15*k**s - 12*k**2 + 3*k + 0*k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35069668 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - u + 5)*(0 + 3 - 2)*(-21 + 20 + 34).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1485 by -297.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, f: 5, i: 1, c: 1, k: 1}. What is prob of picking 1 k, 1 c, and 1 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26*-29.2.\nAnswer: -759.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 356288 + -0.3\nAnswer: 356287.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 10*n + 5. Let l be u(-9). Let f be (-21)\/(-308) - l\/22. Factor 1\/4*a**3 + 1\/4*a**2 + 0 - 1\/4*a**4 - f*a.\nAnswer: -a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + (-16 - -15) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -818.51103 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 3*a**2 + 7*a + 4. Let y be o(4). Suppose -y*r + 37*r - 20475 = 0. What are the prime factors of r?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(-2 + 3 + 1 + (-5 + 1 - 1)*(-4 + 1 + 1))*(-6*p**3 - 15*p**2 + 15*p**2).\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 815 and 14284342.\nAnswer: 71421710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -476*d**4 - 2*d**2 - 3 wrt d.\nAnswer: -11424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 594 a factor of 259371288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 2*i - 6*i - 30, 2*i + 10 = 0. Let v = -1 + n. Solve v*s = 2*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3040 (base 6) to base 9.\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31 or 29?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*w**4 + 47*w**3 + 514 wrt w.\nAnswer: 12*w**3 + 141*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -400*i**5 - 18380*i**4 - 131960*i**3 + 21485*i**2 + 111390*i + 34965 = 0 for i.\nAnswer: -37, -9, -1\/2, 21\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.8 - -7.8. Which is the biggest value?  (a) -4\/3  (b) g  (c) 0.2  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 5*n - 33. Let z be j(-9). Suppose 6*p = -z*p + 54. What is the units digit of (-2)\/4 - (-711)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8350, -16697, -25044?\nAnswer: -33391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvj when three letters picked without replacement from njtppnttvpppnf.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 14) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rgr when three letters picked without replacement from {r: 13, g: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(95)\/sqrt(5))*5.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18311*w + 39037*w**3 + 6106*w + 6100*w + 6105*w)*(-4*w**2 + 2*w**2 + w**2).\nAnswer: -39037*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44781.\nAnswer: 3, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 6.1. Sort i, 5, -4 in ascending order.\nAnswer: -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1636660 divided by 6935?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14612 is divided by 212?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 + 1)*(-287 - o + 287)*(-2 + 2 - 2*o) + (5*o + o - 4*o)*(0*o + 6*o - 5*o) - 4*o**2 - 2 + 2 to the form s + h*o**2 + f*o and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from {g: 9, o: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 3:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9253964 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -46*w**2 - 2. Let n be v(-1). Let b = n - 46. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oyk when three letters picked without replacement from yyykyyokoyyy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2508981 is divided by 2655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/9)\/(2\/(-6)). Let k(v) = -2*v**2 + m*v**2 - 3*v**2. Let o(y) be the first derivative of 13*y**2\/2 + 7486. What is k(o(q))?\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005726 to seven dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/4 - 1 - -2. Suppose o*d + 759 = 5*d. Let y = 354 - d. Calculate the remainder when y is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-4*(-3 + sqrt(343) + sqrt(343)) - 3*sqrt(343)*-2) + 0))**2.\nAnswer: -12096*sqrt(7) + 54576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 2*y**2 - y. Let c be g(0). Solve c*s + 4*s + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6782956693 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15925919 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -2*w**4 - 62*w**3 + 446*w**2 + 62*w - 444 = 0.\nAnswer: -37, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1\/4  (b) 5  (c) 315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 5112280.\nAnswer: 20449120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -73.5 - -73. What is the second smallest value in 2, y, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hoyooyhpkhhohhhpk. What is prob of sequence pypo?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 + 439860*u - 439856.\nAnswer: -4*(u - 109964)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1326 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: Suppose 528 = 14*k + 1844. Let v be (-448)\/192*(-1 - k\/98). Let n = -4.5 + 5. Which is the second smallest value?  (a) 1  (b) v  (c) 3  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2463\/4 + 615. Which is the closest to 0.07?  (a) 3  (b) -2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = o - 5*c, -o = c - 5*c - 88. Let u be ((-6)\/5)\/(15\/o). Let r be 24\/14 + u\/(-28). Solve -4*i = -r*l - 10, 0*i + 5*l = -2*i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-29460)\/23568)\/((-55)\/(-8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 + -2.39. Let s = o + -2. Let q = -5 - s. What is the second biggest value in -2\/13, q, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {a: 1, z: 1, v: 2, t: 3, q: 3, p: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-9*t + 8*t + 4*t)*(0 + 3 - 4).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -12ca2 (base 15) to base 9\nAnswer: -101548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, s: 6}. Give prob of sequence ssss.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -3. Let u = -1 - -1.1. Let l = 2 - 2.1. What is the nearest to u in i, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 - -120. Let t = f + -77. Let a = 33 + t. Sort a, -3, 8\/3 in descending order.\nAnswer: 8\/3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*z = 3569 + 1356 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (24\/10)\/((-4)\/(-10)). Suppose -l*j + 3*j = -111. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -824, -1605, -2912, -4745, -7104?\nAnswer: -9989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2 = -4. Let x be (t + (-369)\/(-3))*(-2)\/4. Let d = x - -73. Calculate the smallest common multiple of d and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 4. Let s(w) = w**3 + 7*w**2 - 8*w. Let q be s(m). Let o(r) = 5*r + 6*r**2 + 2*r**3 - r**3 + q*r - 6. Determine o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4187 - 4182. What is the closest to 0 in r, -3, 1\/20, -4?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4)*(-192)\/(-4). Suppose x + 3*x - r = 0. Let p(f) = 7*f**3 - 6*f**2 - 6*f - 6. Let w(s) = s**3 - s**2 - s - 1. Give x*w(z) - p(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1228070 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 7:47 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of 1123*k**3\/6 + 1493*k**2\/2 - 11*k - 4. What is the derivative of n(c) wrt c?\nAnswer: 1123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**5\/120 - l**4\/4 + 5*l**3\/6 + 2*l**2 - 2*l - 2. Let b(v) be the second derivative of c(v). What is b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = t + 4*p, 2*p = 2*t - t - 9. Solve 0 = 2*c - t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*h + 27, 0 = 2*b + b + 3*h - 63. Let a be ((-5)\/(-3))\/(2\/6). Suppose -a*y + b = -7. Solve 7*i - 4*n = 3*i - 4, -3*i + y*n = 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1091 + -1091. Let i = 2 + -2. Suppose 0 = -5*s, c = 2*u + 5*s - i*s - 4. Solve -u*g - 22 = -3*w - 4*g, 0 = 3*g - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 1990014730?\nAnswer: -1990014729.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 351*m**2 + 40*m + 161. What is the hundreds digit of v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*w - 40762 + 1750. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2576\/5 + -23204\/45. What is the nearest to 0 in -1\/2, l, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 14\/(-4) - ((-12)\/(-8) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1 + sqrt(1088) + sqrt(1088) + sqrt(1088))**2 - (sqrt(1088) - (4 + 0 + sqrt(1088))).\nAnswer: 144*sqrt(17) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112 + (-1)\/(1\/3) is divided by (3*12\/72)\/((-2)\/(-56)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h + 4*r + 49 - 34 = 0, h - r - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -102*a + 5*a**2 + 296*a**3 + 46*a + 11*a**3 + 52*a. What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19340712 and 3148488?\nAnswer: 135384984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t + 5. Let n be r(-3). Let f(o) = o**2 + 17*o - 11. Let v(x) = 3*x**2 + 50*x - 32. Let p(a) = n*v(a) - 7*f(a). Is 10 a factor of p(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 11:37 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.47 - 0.33. What is h rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 1504225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -286 - -294. Is -2\/71 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*b + 46*b = 59. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 11:59 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26629 = 87*c - 25237 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -6 + (-4 - (-5 + 7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2.4. Let s(j) = 10*j + 1. Let i be s(2). Suppose 0*o - i = -3*o - 3*y, -24 = -3*o - 4*y. Which is the nearest to 0?  (a) o  (b) m  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -0.08057964\nAnswer: -0.008057964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x. Suppose -2 = -3*h + 4. Let u(t) = -5*t**2 + 11*t**h - 2*t**2. Give l(u(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 543570, 1088334, 1633096, 2177856, 2722614, 3267370, 3812124?\nAnswer: 4356876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -215303 and -8.\nAnswer: 1722424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 94 + -64. Let n be 5\/20 - l\/(-8). Suppose 3*b = c - 12, 5*c - n*b - 6 = 10. Solve 0 = f + u - 0*u + 2, c = 2*f + 5*u + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*v + 60 = -3985 - 1169 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 3*a - 100. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 17*a - 29. Let v be k(11). Let p = v - 34. Calculate the least common multiple of 8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 - 4*n + 2. Let m = -37 - -39. Let i be l(m). Let s(y) = -i - 4*y**2 - 1 + 3*y**2 - 5*y. Calculate s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 4 - (-2 - -2)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1134, -1150, -1166, -1182, -1198, -1214?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.013914 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*y - 12 = 0. Let o(q) = 2*q - 5. Let s be o(y). Let l = -3 + s. Solve -4 = l*a, 3*a = -2*m - 7 - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 18391, 28296, 38201, 48106, 58011, 67916?\n\"Answer: 9905*s + 8486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 2*y - y + 7, -l + 2 = 0. Which is greater: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -283 + 219. Is (b\/10)\/((-12)\/1320) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 13*r - 10. Is 21 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*2953.\nAnswer: -1476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.071 and 123.\nAnswer: -8.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 46 + 1 + 0. Let p = v + -24. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -21. What is the nearest to v in -4, 0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + y + 3. Let c be j(0). Solve 0 = -3*p - 3*a - 12, 4*a - 17 = c*p + 2*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2012101122 (base 3) in base 6?\nAnswer: -532242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2 - 18932*j + 18958*j.\nAnswer: 26*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**4\/4 - 11*l**3\/4 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-132)\/(-20) - (-6)\/15. Suppose m = p - 1. Calculate the smallest common multiple of m and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**4\/24 + 2*a**3 + 4*a**2. Is m(-5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(2\/7)\/x)\/(x**(1\/6)*x))\/(x**2)**25)**(-17) assuming x is positive.\nAnswer: x**(36329\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22753 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1962067 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010001110100110010 (base 2) to base 5.\nAnswer: 241342321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -442*c*y**4 - 8360*c*y**3 + 88*c - 9296 wrt y.\nAnswer: -1768*c*y**3 - 25080*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 18*o + 175. Let a be r(7). What is the smallest value in 2\/27, a, 3, 0.141?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 1334.\nAnswer: 1\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 24*y**2. Calculate o(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 7  (c) -1  (d) -4  (e) 20  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 12:49 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3153122*x**6 - 29798*x**2 + 27 wrt x?\nAnswer: 378374640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -59*o - 45. Suppose -3*w + 4 = -4*w. What are the prime factors of v(w)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 10325 = 5*t, t = 4*t - 4*o - 6203. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 714814 is divided by 8717.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.06225 rounded to two dps?\nAnswer: -21.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*1*sqrt(833) + sqrt(833))*-2)**2.\nAnswer: 333200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -d**5 + 5*d**4\/4 + 115*d**3\/3 + 15*d**2\/2 - 450*d + 97. What is g in l(g) = 0?\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35005*d**2 + 7484*d.\nAnswer: 70010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 251*o - 243*o = 5864. Let w = o + -738. Put 4, w, -2, -3 in decreasing order.\nAnswer: 4, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -16, -31 in ascending order.\nAnswer: -31, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11925*l + 5958*l + 5943*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 688, 771, 996, 1435, 2160, 3243, 4756, 6771?\nAnswer: 9360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 267999 and 12430374.\nAnswer: 1951568718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -64.54822 - 0.11178. Round t to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 533527 or 533938?\nAnswer: 533527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 67*k**2 - 24*k - 54. What is m(-2)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.34281 in 0, 5, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.13 * -19868.\nAnswer: 2582.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + -3 - 3)*-1. What are the prime factors of (-305)\/(-10) + 2\/l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3907000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -80 - 3*w**2 + 7*w**2 - 5*w**2 + 2*w**2 + 6*w. Calculate the remainder when 61 is divided by d(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**4\/4 - 13*l**3\/3 + 13*l**2\/2 - 5*l + 3. What is the units digit of r(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-126)\/(-4))\/(12\/(-6) - -5) and 52\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 1536282?\nAnswer: 4608846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 5. Let u be b\/((-50880)\/2241) + 1. Let g = 3\/265 + u. Calculate the common denominator of -29\/36 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 65461935 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j - 2*j + 4*j)*(-150 + 264 - 262).\nAnswer: 296*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -1617*z + 9633. Determine m(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*l - 72756 = -623*l - 992*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 86932 + -47822. List the prime factors of y.\nAnswer: 2, 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -116.218669 to two decimal places.\nAnswer: -116.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 193728 and 8.\nAnswer: 193728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**2 + 3*g - 64*g**3 + g**2 + g + 10. Is w(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/2 + (8 - 528\/40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60576\/688 - (-510)\/(-306)*6\/215.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xggogggogoxoogo. What is prob of picking 2 x and 2 g?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 356 divide 53895908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2939*g = -3060*g - 4356 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(68) + -2)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -7*u + 186. Let q be k(26). Let f be -3 + 6 + -3 + 1. Sort -6, 5, f, q in descending order.\nAnswer: 5, q, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 12*r - 17. Let x be l(8). Let w(z) = 20*z - x*z - 5 + 2. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 144*n - 284*n + 140*n + 144*n**2 in the form y*n**2 + p*n + a and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 929022918 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -370*u - 57. Determine c(-2).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -4*i. Let q(a) = -27*a + 460. Let u be q(17). Let k(p) = p - 1. Calculate u*b(d) - 2*k(d).\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/87, -4\/5, -296, 3, -1\/4 in ascending order.\nAnswer: -296, -4\/5, -1\/4, -1\/87, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -7*z + 2. Let i be (-4)\/(-16)*-2*2. Let n be y(i). Solve 0*m + 1 = m, 5*c + m = -n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and 1.63?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 9763047.\nAnswer: 1\/1394721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/30929661 and 17\/34366290.\nAnswer: 309296610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34679 is divided by 2832.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/4)\/((-3)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142306889.\nAnswer: 113, 977, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 12*u - 6. Let t be h(11). Suppose -t*j - w + 17 = -4, 2*w + 8 = 0. Sort 2, -3, j in descending order.\nAnswer: j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14299 and 10981.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6732 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003286082 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3509, 6971, 10459, 13985, 17561?\n\"Answer: 2*v**3 + v**2 + 3445*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + -1223?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -1, 15 in descending order.\nAnswer: 15, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1568\/(-785) + 2)\/((-92752)\/31043980). Let d = 1\/4867 - w. Find the common denominator of -9\/2 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 + -19. Suppose d = -3*d + j. Let q(z) = -z**2 + 2. Suppose 4*x + l + 7 = 0, -2*l + 13 = -4*x + 3*l. Let c(y) = -2*y**2 + 3. What is d*q(g) + x*c(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 12:25 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-84)\/49)\/((-5)\/(490\/4)). Calculate the greatest common divisor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*s - 2070 = -48*s. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-6)*8\/(-4). Let y(u) = -u + 29. Let o be y(13). Solve -o - 9 = n*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 5)*5)**2.\nAnswer: 500*sqrt(19) + 2525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7672.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 294424642 to the power of 1\/2, to the nearest integer?\nAnswer: 17159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*x = -14340. Is -2*1\/(8\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = y + 12. Solve y*u = 9 + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-9)\/(-3)*5\/(1\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-4)\/6)\/(84\/(-2961)) and 58\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 15, n: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -7*v**4\/2 - 4. Calculate f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17205, -17209, -17211, -17211, -17209, -17205?\nAnswer: -17199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -715*m**3 + 9*m - 15. Let x(p) = 178*p**3 - 2*p + 4. Calculate -2*t(r) - 9*x(r).\nAnswer: -172*r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -667, 1\/9, -2\/117?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12953 + 12957. Put p, -25, -3, -4\/7 in decreasing order.\nAnswer: p, -4\/7, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 1133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3281*u - 36 - 23 + 59.\nAnswer: -3281*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-2)*(-8)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -2  (c) -2\/15  (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(30\/8))\/(6\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -79, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -640 by 346.\nAnswer: -320\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 5*q**2 - 4*q + 4*q + q**3. Let d be (-3)\/(-11) + 7225\/935. Suppose d*y + 35 = y. Give o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - 0. Suppose -r = -2*k - 5, 2*r - r - 5 = k. Suppose r*t + 3*q - 25 = -0*t, 0 = 5*t + q - 15. Put i, t, -1\/8 in descending order.\nAnswer: t, i, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 6*w**2 - 11*w + 10. Suppose -u + 39 = -6*u + d, 22 = -2*u + 2*d. Let j = 5 + u. Let x(n) = -n**2 - 2*n + 2. Determine j*z(g) + 11*x(g).\nAnswer: 2*g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -52.42 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.06 - -3.06. Let y = 2.5 + -4.5. Which is the nearest to y?  (a) h  (b) 5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -3000\/1485373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m - 17 = 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(4\/3)*d)\/d)\/d*d\/((d\/(d\/d**(-10)))\/d*d))**(-1\/3)\/((d*d\/((d\/(d*d**(2\/5))*d*d)\/d))\/d*d\/(d*d**4*d*d)*d\/d**(-9)*d\/d**3) assuming d is positive.\nAnswer: d**(-253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9539, 18745, 27951, 37157, 46363?\nAnswer: 55569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-165)*(-16)\/24.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*c + 0*c - 46 = 0, c - 37 = -5*t. Is t - 8 - -191*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 + -51b1363?\nAnswer: -51b1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**4\/7 + 662*t**3\/7 + 110066*t**2\/7 + 633070*t + 38513784\/7 = 0. What is t?\nAnswer: -59, -12, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -12.3. Let s = g - -7. What is the second biggest value in -4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 2.99. Let r be (-2)\/11 + 1008\/2156. What is the biggest value in -5, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 45*v**2 - 49*v - 99. Calculate c(-44).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - c + 6. Let n be q(-7). Let z = 76 + n. Suppose -3*j - z = -7*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 139578005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9812 - 252. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12435643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -81 and -0.03239.\nAnswer: 2.62359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of 0 + 7*s**2 + 0*s + 7\/12*s**4 + 7\/6*s**3 + 1\/5*s**5. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 55*g - 272. Determine x(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ozzoozooozoooo. What is prob of picking 1 o and 1 z?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5066011?\nAnswer: 5066011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18095*t**3 - 39924*t**2?\nAnswer: 108570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 6*c + 2*u - 20, -3*u + 25 = 4*c. Solve y = 3*y - l - c, -5*y = -4*l - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 9 + 9. Let o be (-2)\/(-6)*(h - -9*1). Let l = -2 + 5. Which is the third biggest value?  (a) -0.2  (b) o  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.497 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, -1, -91, -9 in increasing order.\nAnswer: -91, -9, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 11*n**2 - 2*n - 22. Let j be q(-11). Suppose 0 = -2*w + 3*x + 547, j = -3*w - x + 670 + 123. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 40 - 56 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 160843008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 2*n + 1\/72*n**4 - 1\/60*n**5 + 0*n**2 - 1\/180*n**6 + 1\/18*n**3 + 0. Factor d(a).\nAnswer: -a*(a - 1)*(a + 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -625*i**3 + 242 wrt i.\nAnswer: -1875*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -1966*n - 32. Is v(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*s + 5. Let t(z) = 2*z**3 - 13*z**2 - 7*z + 6. Let h be t(s). Let r be (-102600012)\/18 - (-4)\/h. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -1. Let c = n - 0. Let w be (12\/6)\/(-2)*-1. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182.78379 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 119*w - 747. List the prime factors of o(104).\nAnswer: 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**3)**(-44)*d**(-1\/3)*d**(-7) assuming d is positive.\nAnswer: d**(-418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4020 (base 16) in base 5?\nAnswer: 1011131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 11. Let f = b - 3. Let j = -3010 + 3013. Solve -f*a + 5*a + j = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2165784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0 = 3*n - 14, -5*n + 2*f = -14. Suppose -3*b + j + 128 = 0, -2*j + 113 = b + n*b. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13c (base 13) in base 6?\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, z: 9, w: 1}. Give prob of picking 1 w and 1 z.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -8*a**2 - 17*a - 96. Let z(v) = 9*v**2 + 15*v + 94. Let w(x) = -7*r(x) - 6*z(x). What is the tens digit of w(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 439c2 + 2?\nAnswer: 439c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 7*p**2 + 126*p - 979. Give o(7).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 1193*n + 41752. What is b(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 divided by -4?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -0.11. Let w = -75983 - -75998. Sort w, -2\/9, -4, a.\nAnswer: -4, -2\/9, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i**3 - 271989297*i**2 + 271989297*i**2.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -8, 3*l + 90 = 2*l - 5*a. Let v = l + 108. What is the units digit of 3*(v\/3)\/((-4)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/104)\/(384\/512). Let o = 4.9 + -0.9. Which is the smallest value?  (a) s  (b) 7  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 6260768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 + 7*w + 15. Let n be o(-11). Suppose -2*a - 5*v = -44, 4*a - a = -4*v + n. Does 9 divide a - (-3 + 5)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3005 and 1120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3126 - -3120. Let g(x) = -x**3 - 8*x**2 - 7*x + 12. Give g(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4 - (-49)\/14. Suppose 0 = -a*m - 5 + 1. Is m equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-87)\/(-9) - 11)\/(1\/(-2601)). Suppose 10*h = -7*h + j. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 242.8 + -1.8. Let n = u + -241.3. Which is the closest to n?  (a) -4  (b) 1\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30*i**3 - 38 - 343 + 29*i**3 + 5*i**3 - i**3 - 2*i**3 + (0*i**2 + 0*i**2 - 2*i**3)*(-3 - 3 + 3) + 3*i**3 - i**3 - 3*i**3.\nAnswer: 6*i**3 - 381","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 33\/2 - 3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -5 + ((sqrt(432) + -1 + sqrt(432))*2 + 2 - (-5 + 1*sqrt(432)*-2)))**2.\nAnswer: -432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 63972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 16) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128*m**5 + 319008*m**4 - 196233858*m**3 - 3150283752*m**2 - 12482632008*m = 0. What is m?\nAnswer: -63\/8, 0, 1254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 203775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.3792446 * -3.\nAnswer: -4.1377338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*a**2*r**5 - 12846*a**2*r - 3*a*r**3 + 102*a*r**2 - a*r wrt r.\nAnswer: 120*a**2*r**3 - 18*a*r + 204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, k: 1, e: 1, t: 2}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2765975791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -404 + 387.7. What is g rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 9*a - 8. Let g(n) = -n**2 + 8*n. Suppose w - 6*w + 35 = 0. Let r be g(w). What are the prime factors of i(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 16*s = 10*s. Solve 3 = 3*k, -3*k + s = -2*b - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -72 - -86. Which is the third biggest value?  (a) -5  (b) 5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 407, 1613, 3631, 6467, 10127, 14617, 19943?\nAnswer: 26111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 230 and 0.14932.\nAnswer: 230.14932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61889 by 2650.\nAnswer: 61889\/2650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -6. Calculate the common denominator of -53\/5 and t\/(-2) - 9\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*s - 9108 = -51*s. List the prime factors of s.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + 2*h**2 + 2*h**5 + (-h + h**5 + h)*(-4 + 4 - 3) + 18*h**3 - 18*h**3 - 9*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -8, 122 in decreasing order.\nAnswer: 122, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -11. Let m(f) = -f - 12. Let s = 15 - 16. Let q be 2 + -2 + 2 - (s + -2). Let o(y) = q*p(y) - 4*m(y). Find the first derivative of o(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 143, 137, 129, 119, 107?\n\"Answer: -z**2 - 3*z + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 - ((12 - 146) + 268).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 6*u**2 - 3*u - 10. What is the units digit of t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -17*o**3 - 4*o**2 - 4*o - 2. Let g = -8 - -5. List the prime factors of i(g).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 190.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308025\/4 - 1\/4*o**2 + 555\/2*o = 0.\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 7*a + 10. Suppose 0 = 5*k + 2*x - 39, -3*x = -0*x - 6. Give j(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 9*j + 13. Let y be x(4). Let v = -17 + y. Let q = v + 68. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**9)**(-2\/93) assuming j is positive.\nAnswer: j**(-6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -12, -3*v - 7*z + 42 = -2*z. Suppose -3*u = -v*u. Suppose -3*f + 14 + 10 = u. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a decade in years?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of d**3\/6 + d. Calculate the smallest common multiple of 6 and l(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + -0.26. Let b = 9.06 + y. Let n = b - 8.999983. What is n rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 - s + 1. Let c(m) be the first derivative of 2*m**3 + 86 - 282 - 10*m - 10*m + 10*m**2 + 8*m**3. Determine 20*b(n) + c(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 times -214794?\nAnswer: -7088202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 3*a - 12, 6 = f + 2*a + a. Suppose 12 = f*h + h. Suppose u + 0 - 8 = -3*y, h*u - y = 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -2\/3, 33.05, 0, 2, -6 in descending order.\nAnswer: 33.05, 2, 2\/7, 0, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 382949148 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: Suppose 0 = 5*a - 2*m + 4, -3*a - 8 = -0*a - 4*m. Suppose -3*z + a*p - 2*p = -56, -4*p - 20 = 0. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13688 + 15410. Calculate the remainder when u is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.21 - 559.\nAnswer: -559.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5698 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -x**3 - 5*x**2\/2 + 45*x. Let q(h) = 2*h**2. Calculate g(q(k)).\nAnswer: -12*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) + (1*sqrt(245))\/sqrt(5) - (sqrt(2401)*4 + sqrt(49)))\/((sqrt(252) + sqrt(252)*-2 + sqrt(252))*1 - (sqrt(252) + sqrt(252)*1*6)))**2.\nAnswer: 81\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -3, 493, 0, 5, -71 in ascending order.\nAnswer: -71, -16, -3, 0, 5, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63 and 3960.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*c - 2173981 = -202691. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4\/21645 + -157259\/151515. What is the common denominator of j and 37\/87?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**3 - 10*d**2 - 3*d - 23. Let y be -4*((-28)\/8 - 0). Suppose 2*w = -y - 0. Is k(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 490 - -1698. Which is bigger: t or 2187?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -15950  (b) -3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 PM and 11:57 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 - 116*f + 120.\nAnswer: -4*(f - 1)*(f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105105 is divided by 312?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 5*w = -20, 768*t - 770*t - 4*w + 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28146?\nAnswer: 2, 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -1. What is the smallest common multiple of (-122)\/(-14) - ((-110)\/(-77))\/(-5) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/(-30)*234\/4. Let y = -22 + u. Let p = 32 - y. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1807 + -1810. Suppose -i + 0 = -1. Let c be 6*(0 + 1 + i\/o). Solve -5*p + 3*s - 45 = 7*s, -c*s = -5*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/2, 27, -194\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (-3)\/(-9) + (52275\/60)\/((-3)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**3 - 2*u**2 - u. Determine w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3 - 248488*m**2 - 120092500*m - 14524106256.\nAnswer: -(m + 242)**2*(m + 248004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*p - 30*p + 6*p**3 + 100*p - 40*p.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3685243*i + 2*i**2 - 1842627*i - 1842623*i + 6*i**2.\nAnswer: 8*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4527706195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 6*w**2 - 3*w - 8. Let o be (-3)\/((2 - 1)\/2). Let j be g(o). Suppose b - 4 = -4*t + 19, 0 = 2*b - 4*t + 14. Solve m = b*m + j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108)\/sqrt(9) + 2 - (sqrt(132) - sqrt(132)*4)\/sqrt(11).\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 2*f + 134, -2*a = a - 3*f - 399. Calculate the remainder when a is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**5*i**3 + 452*c**4*i**3 + 3*c**2*i**3 - 142*c*i**3 + 4*i**3 wrt c?\nAnswer: -60*c**2*i**3 + 10848*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8ba9 (base 12) to base 3.\nAnswer: 210022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 4*u**2 + u - 1. Let w be v(-3). Suppose -w*l + 2*l + 9 = 0. Suppose g + g + l*j = 119, -3*g - j + 175 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 + 21. Let v be 2\/(-6)*0 + s. Let r = v + 24. Calculate the highest common factor of 30 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 813468 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/8 and ((-29533)\/(-2968) + -10)\/((-6)\/104).\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 1258 = 3*p, p + 4*f = 4*p + 1264. Let y be (9\/6)\/((-3)\/p). Suppose 4*d + d = y. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26\/26)\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2408\/5 - -482. Let r be 1\/6 + (-33)\/(-90). Factor x + r*l + 2\/15*l**2.\nAnswer: 2*(l + 1)*(l + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -342 + 413. Suppose -64*l - 21 = -r*l. Solve -l*o = -4*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3a (base 16) to base 4\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apayppkaypeeayay. What is prob of sequence yay?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5439, 5437, 5435, 5433, 5431?\nAnswer: 5429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**3 - 19*q**2 + 43*q + 333. Let c be u(-10). Let f be ((-8)\/6)\/((-26)\/36). Is c bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (147\/245)\/(6\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6429148 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7390629, -7390630, -7390631, -7390632?\n\"Answer: -y - 7390628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 9, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4653075, 1\/6, 3\/8, 4\/5 in increasing order.\nAnswer: 1\/6, 3\/8, 4\/5, 4653075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.686 + 1471310?\nAnswer: 1471346.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.2736844 + 9\nAnswer: 8.7263156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 674.9282 litres?\nAnswer: 674928.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 (base 10) in base 12?\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(2*sqrt(68) + sqrt(68) + sqrt(68)))\/((sqrt(16)*-4 + sqrt(16) + sqrt(16))\/sqrt(4)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 861448100 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*s**2 + 16382 - 16382.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -3, -139 in descending order.\nAnswer: -2, -3, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6728\/3 - 1\/12*o**4 - 77\/4*o**3 + 1160*o - 6611\/6*o**2 = 0. What is o?\nAnswer: -116, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2262575116 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 12008 divided by -1501\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 + -24. Let b = 0 + j. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 12:00 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 475 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/11  (b) 3\/4  (c) 6  (d) -5  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*j + 1 - 3 + 84*j + 128*j + 363*j.\nAnswer: 501*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7999.56 - -7900. Round t to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21.27 + -21. Let p = -1.0224 - 5.9776. Do b and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112917155.\nAnswer: 5, 13, 29, 37, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*s + 1. Let o be (-6)\/(-4) - s\/(-4). What is the first derivative of z + 2*z + z**o - 3*z + 2 wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 8246\nAnswer: 1\/4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2. Let l(q) = 3*q**2. Suppose -3*i - 15 = -h + i, -i = 3*h + 7. Suppose -16 = j - 5*j. Give h*l(z) + j*f(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2139019.1 and 3.\nAnswer: 6417057.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/132 and -5\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12959545*x**3 - 23*x**2 - 206892*x wrt x.\nAnswer: -77757270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**5\/30 - 2*m**2 + 10. Let c(o) = o - 5. Give q(c(l)).\nAnswer: 2*l**2 - 20*l + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -156\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18031184 is divided by 435.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2281*o - 359. Is 29 a factor of g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 - 14*w**2 + 12*w - 35. Let t be q(-15). Calculate the highest common factor of t and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443705?\nAnswer: 5, 88741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 572*z**2 - 3*z + 7 wrt z.\nAnswer: 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -103565 divided by -5?\nAnswer: 20713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2 - 17*j + 12. Let a(s) = -s**2 - s. Suppose -3 = 6*v - 3*v. Let g(w) = v*x(w) + 2*a(w). What is the lowest common multiple of 10 and g(-16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 87 = -4*a - 22, -a - 2*o = 34. Let m = -17 - a. Find the second derivative of -m*c - 8 - 9 + 17 + c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 82202*g**4 + 3 - 3*g**2 + 2*g**3 + 2*g - 82241*g**4 as y*g**4 + k + x*g + m*g**3 + a*g**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5\/28 + -4\/7. Let t = -1098\/2717 + 10\/247. Which is the third smallest value?  (a) h  (b) -0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20023 + 155?\nAnswer: 20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.415m in millimeters?\nAnswer: 158415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5627 + 10024. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8285.44787 to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 3*m + 18, -2*t + 2 = -3*t + m. Let n be t\/1 + 0 + 0. Suppose 2*o - 3*o = -18. What is the highest common divisor of n and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ztztz. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) 2\/9  (c) -2  (d) -12\/47  (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12210 and 14430?\nAnswer: 158730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*s**2 - s**2 - 5*s**2)*(3*s + s - 3*s + (1 + 1 - 1)*(3*s - 5*s + 4*s) + 1 - s - 1) in the form h*s + d*s**2 + o + y*s**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100, 532, 3, 5 in decreasing order.\nAnswer: 532, 5, 3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*b**3 + 14614*b**2 - 4181*b - 10440.\nAnswer: (b - 1)*(b + 2088)*(7*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 - -115. Suppose 44 = 2*c - z. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2035 and 825.\nAnswer: 30525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 145093937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -463 + 4171\/9. Find b such that -h*b + 4\/9*b**3 + 2\/9 - 2\/9*b**4 + 0*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90811 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -22. Suppose 0 = 3*b - a*b. Let r(t) = 2 - t + 2*t**2 - 3*t**2 + 2*t**2. Calculate r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1 - 4\/(-6)). Suppose 0 = 4*k - 7*k + 6. Suppose -d*s - k*i = -33, -s - 15 = -3*s + i. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*r**4 + 244419*r**2 - 11119778*r wrt r.\nAnswer: -60*r**2 + 488838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**2*n - 19035*l**2 - 81*l*n - 2*l + 384*n wrt l.\nAnswer: 4*n - 38070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -6*r**2 - 13*r - 17. Let y(n) = 5*n**2 + 12*n + 16. Let h(o) = 6*u(o) + 7*y(o). Let g be h(7). Solve -g*q = a - 5*q - 2, -5*q = 3*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 86*v**2 - 166*v + 876. Determine m(-88).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1270350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8145*t**3 - 5696 wrt t?\nAnswer: -24435*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1238679 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w + 129 - 17 = 0. Let r(k) = -k**2 + 3*k + 3. Let c be r(3). Suppose c*o + 15 = -a, o - 27 = 8*a - 3*a. Are w and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -2*b**4\/15 - 27084*b**3\/5 + 6105614*b**2\/15 + 6295192*b\/5 + 4232904\/5 = 0?\nAnswer: -40701, -2, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/15*25*((-2)\/3)\/2\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -5 + -3*((-5 + (3 + -2*sqrt(704) - ((2*sqrt(704) - sqrt(704)) + 4 - sqrt(704))))*4)**2.\nAnswer: -136899 - 9216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26853373 is divided by 80399.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 6*q - 3*x - 5 + 9, -64*q + 10*x - 38 = -66*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -4, 1 in descending order.\nAnswer: 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 5*z - 26 - 19 + 30. Let c(r) = -3*r + 8. Give -11*c(p) - 6*i(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*(sqrt(2299) + 1)*3 + 4 + -2)**2.\nAnswer: 1386*sqrt(19) + 186268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4008 a factor of 456672694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17490 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**5 - 5*z**3 + 5*z**3 + (-4 + 4 + 2*z**4 + (-6*z**2 + 0*z**2 + 4*z**2)*(2*z**2 + 0*z + 0*z) + 7*z**4 - z**4 - 2*z**4)*(2*z - 3*z - 5*z).\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25.529 - 8.529. What is the third biggest value in 3, 0.4, -3, -0.2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 11. Give y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssiiiiisskis. Give prob of sequence ik.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -2*m, t + 3*m = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 5:40 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -173 - -173. Let l be (3\/(-45))\/(1\/(-2)). Which is the closest to -1?  (a) 0.1  (b) l  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j + 3. Let v be z(0). Suppose -4*s = -3*w + 14, 2*w = -s - v + 5. Let q(g) = 11*g + 2. What is the tens digit of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 5:10 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*i - 5*r, 0 = 3*i - 5*r - 25 + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of -219*s**4\/4 - s**2 - 17*s + 187. Find the second derivative of l(p) wrt p.\nAnswer: -1314*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -908209\/6 + 953\/3*h - 1\/6*h**2 = 0. Calculate h.\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4 + 14 = 0. Let h be (-12)\/(-7) + (-2)\/(-7). Calculate the highest common divisor of h and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 5*m**2 + 3*m + 14. Let f(g) = -18*g**2 - 11*g - 60. Give 6*f(a) + 22*u(a).\nAnswer: 2*a**2 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, p: 1, m: 2, v: 1, t: 1, g: 1}. What is prob of sequence vxgp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -7*o**2 + 4*o - 106. Let t(x) = 35*x**2 - 18*x + 530. Calculate -3*t(m) - 14*v(m).\nAnswer: -7*m**2 - 2*m - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 8*p - 8. Let l(d) = -22*d + 336. Let j be l(15). Let o(y) = -8*y - y - 1 + 5*y + j*y - y. Calculate -5*o(s) + x(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -2 + 1)*1. Let x = q - -6. What is the remainder when (-114)\/(-9) + 10\/(-15) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -3)*-4 + (-2231)\/(-582).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of w**6\/180 + 7*w**3\/2 - w. Let x(t) be the second derivative of i(t). Let q(d) = 25*d**2. What is q(x(s))?\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44.883 - 45. What is h rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -317996, -317999, -318002?\n\"Answer: -3*l - 317993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.32, 0, 3\/8, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.12 or -6\/313?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 994  (b) -4  (c) -2\/7  (d) 1  (e) -2\/521\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003394229 rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-2 - 0\/1). Suppose -w*r - 5*z - 905 = r, -3*r + 4*z - 536 = 0. Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/504 and 173\/11928?\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (188 - 224)*3\/((-81)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (3 + 6 - -7 - 33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70819 is divided by 331.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1186071, -9488560, -32023889, -75908478, -148258747, -256191116, -406822005, -607267834?\n\"Answer: -1186070*s**3 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -440 (base 11) in base 16?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1528, 5220, 11374, 19990, 31068, 44608?\n\"Answer: 1231*g**2 - g + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 658968.\nAnswer: 2, 3, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*t + 38 = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/140)\/(4\/(-28))*(-120)\/(-16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-24)\/((-33)\/11*(-2)\/6). Let o = m + 24. Suppose -5*x + 305 + 260 = o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2972, 2920, 2872, 2828, 2788, 2752, 2720?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-250)*17\/(34\/(-10)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2541 and 1982827.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1715007.6 months in decades?\nAnswer: 14291.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - y = -9, 2*y - 6 + 16 = 0. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001218 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (((-783)\/(-12))\/(-29))\/((-66)\/(-4))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21*152\/399*(-1)\/(-52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1\/a)**(-26)*(a*(a\/(a*a\/(a\/a**(-2)))*a)\/a*a*a*a)\/(a\/a**(3\/4)))**(9\/11) assuming a is positive.\nAnswer: a**(207\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(15\/(-12)) - 2. What is the units digit of (-210)\/(-28) + 1\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001000 (base 2) to base 7.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 + 1 + 12 + 2*b)*(-9*b + 9*b + 4*b**2).\nAnswer: 8*b**3 + 208*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 - 10\/(-35) - -3 and 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 58480137.\nAnswer: 116960274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7231*y**2 + 13*y**3 - 2410*y**2 - 2413*y**2 - 2408*y**2.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 25*a - 1248. Give z(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 169*d + 17640. Determine b(-102).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 140 and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1\/3  (b) -10  (c) 62  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -8. Let o be -2*s\/(-4)*-2. Let m = 0.43 + -0.03. What is the second smallest value in o, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 + 2)\/((-2)\/2). Suppose 3 = -69*s + 70*s, -22 = -4*x - 2*s. Solve -x*r + 3*r = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**3 + 2*d**3 + 3*d**3 + (-3 + 4 + 1)*(-3*d**3 + 3*d**3 + d**3))*(d + 5*d - 4*d).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/12 - (-312)\/96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 - 39. Let u(y) = -16*y**3 + 5*y + 7*y**2 + 12 + 17*y**d + 5*y**2. What is the tens digit of u(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 66.99999963 - 67. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/49?  (a) 5  (b) -3  (c) 31  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -h - 10. Suppose 0 = -25*w + 16*w + 171. Suppose w - 17 = 2*z. What is the greatest common factor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3825, 7682, 11611, 15648, 19829?\n\"Answer: 6*a**3 + 3815*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212 - 1652 = 235*q - 205*q. Suppose -2*g + 0*o + 4*o - 620 = 0, 5*g = o - 1568. Let m = q - g. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19645*j + 9822*j + 9792*j + 7*j**2 as h*j + y*j**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 502*r - 1102. What are the prime factors of x(7)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 4*q**5 + 113732*q**4 + 8172856*q**3 + 138617912*q**2 - 302209340*q + 155304836 = 0?\nAnswer: -28361, -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 5*m**3 + 21*m**2 + 21*m - 579. Is y(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-77)\/(-21) + (-4)\/6. Solve -w*c + c = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + 1)**2 + -2.\nAnswer: 18*sqrt(17) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/(-210))\/4*(-18)\/(2\/(-2))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 855*w - 562*w + 2344 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30393545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5, 6654, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 176349 by -6081.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 63*s**3 - 17*s**2 - 9. Let x(a) = 16*a**3 - 4*a**2 - 2. Suppose -818*t + 4 = -816*t. What is t*z(n) - 9*x(n)?\nAnswer: -18*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -6*o**2 - 21*o + 11. Let y(a) = -a**2 - 4*a + 2. Give 4*s(z) - 22*y(z).\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 15606.273 months?\nAnswer: 130.052275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 567476 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/13 < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3.7 + 449\nAnswer: 445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9299, 24607, 50121, 85841, 131767, 187899?\nAnswer: 254237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 49, 21, -21, -71, -123, -171?\n\"Answer: a**3 - 13*a**2 + 4*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i\/i**(13\/3)*i*i)\/i)\/((i\/(i*i\/i**16)*i)\/i) assuming i is positive.\nAnswer: i**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202582713?\nAnswer: 3, 109, 179, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7659399 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1057041 or -1057042?\nAnswer: -1057041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(-1\/3)\/z))\/z**(-2\/3)*z*z**7*z**(7\/2)*(z*(z*z**(-2\/5)*z*z)\/z)\/(z*z*z*z**(1\/12))*z**(-1\/11)\/z**3 assuming z is positive.\nAnswer: z**(7211\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -53.425 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.62239526 rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/50594118 and 46\/33?\nAnswer: 556535298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {f: 3, w: 3, x: 4, p: 1, n: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - -4 - (10 + -1). Let t be (m\/49)\/(1\/3). What is the nearest to 0 in 1\/5, 1, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 9 = 5*h, -6*h + 12 = -h + 4*g. Solve -3*b = 4*d + 16, b + 2*d = -h*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.474 to one dp.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9676 and 0.06.\nAnswer: -580.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 231*b**3 + 148*b**3 - 201*b**3 + 649*b**3.\nAnswer: 827*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -568*s**2 + 0*s + 3*s + 564*s**2 + s**3 + 11 - 4*s. Let y be v(5). Suppose -y*p - 10516 = -35*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 291 in 121\/12, -1\/6, 5?\nAnswer: 121\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + 393.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 39*w**2 - 7*w - 9. Suppose -4*x = 4*u - 36, 0*x = -2*u - x + 13. Is g(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 10 - (52 - 44))\/(38\/(-2))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 7*l. Let b be v(-6). Solve -b*r - 15 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20307.\nAnswer: 3, 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t + t - 28. Suppose -t*n - 5*z + 45 = 0, 7 - 2 = 5*z. What are the prime factors of 3\/(-6) - (-395)\/n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 4008?\nAnswer: -4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3 + 4 + -1 + sqrt(80) + -6*(-2 + 5*2*sqrt(80)).\nAnswer: -236*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (10 - 6) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f + 30*f - 10*f - 13*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**2 - 18*m + 30. Let a be z(10). Solve -20*x + a = -50*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -1. Let l = 0.233 + 0.957. Let w = l - 1.39. Which is the third biggest value?  (a) 1\/6  (b) n  (c) 0  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -206516, -413026, -619532, -826034, -1032532, -1239026, -1445516?\n\"Answer: 2*s**2 - 206516*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*k + 31*k = 51*k - 203. Let d(o) = o. Let b(g) = -4*g - 7. Let a(u) = b(u) + 2*d(u). Give a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kakaakakakakaakakakk. What is prob of sequence ka?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lbbm when four letters picked without replacement from {l: 1, b: 5, g: 1, m: 2}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-4)*(24\/(-7))\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-7*93)\/(24\/(-16)) is divided by 118.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 15*g - 43. Calculate y(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 708277.2 millilitres?\nAnswer: 708.2772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 7*n**2 + n - 8. Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, -1\/5, -64, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/4 in 0.1, 0.26, -1\/6, 6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 117 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -213  (b) 196  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -23\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express b**3 - b**2 + 140 + 113 - 285 as g*b**3 + y*b + r*b**2 + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -4*m + 50, 5928*m + o + 19 = 5933*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from sllhhjhnnhnjhji.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 3*g**5\/20 - 8*g**4\/3 + 128*g**2 + 85*g. What is the first derivative of f(i) wrt i?\nAnswer: 9*i**2 - 64*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u + 4*u = 5988. Let a = u - 355. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -5*f - 27. Let g be s(-8). Let y(m) = 12*m + 3 - 7 - g*m. Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3144327.45800046 + 3144299.458. Let p = -5.003 + -22.997. Let k = f - p. Round k to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2724385 divided by -6.\nAnswer: 2724385\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 83, 159, 231, 299?\n\"Answer: -2*h**2 + 82*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -361 divided by 4.\nAnswer: -361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 2*m - 15 = 0, -24*m + 19*m = -3*r - 4*r - 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1069 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-50)\/(-4)))\/((-5)\/25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 5168000 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**5\/3 - 20*s**4\/3 - 37*s**3\/3 - 6*s**2.\nAnswer: -s**2*(s + 1)**2*(s + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 6*z + 7. What is the remainder when 361 is divided by g(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*p + 14 + 52 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.11 - -0.28. Let m = 812 + -812. Sort n, -5, m in ascending order.\nAnswer: -5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 173*d = -176*d - 7, 0 = 5*h - 4*d - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -10719289.7728.\nAnswer: -10719291.7728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g + 29. Let i be v(11). Is 0 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3 - 4 - 5*n - 6*n - 4*n + 74*n**2 wrt n?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7541\/2 - -3771. What is the nearest to q in -1\/35, -4, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -x - 0, 3*s = 4*x + 10. Let t be ((-3)\/s)\/(2\/8). Let l be (10\/4)\/(3\/t). What is the biggest value in 2, l, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/18)\/(33 - (-3552)\/(-108))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -1. Suppose -2*n = n + k, -4*n = -3*l + 322. Suppose 0 = 7*z - 6*z - l. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18805.\nAnswer: 5, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + c + c)*(c**3 - 3*c**3 - c**3) + 33008*c**4 + 0*c - 33009*c**4 - 77*c + 0*c + 0*c + 16*c**4.\nAnswer: 9*c**4 - 77*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0565 and 1391.\nAnswer: -78.5915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 92.41 - 92. Let y = 0.11 - l. Sort y, 1, -1\/2.\nAnswer: -1\/2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0287201 rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 at least -357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 118 = -20*l + 182, 3*l = -5*u + 8*l - 95 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r + 11. Let j be y(-6). Let k(z) be the second derivative of -z**4\/12 + 2*z**3\/3 - z. Let w be k(3). What is the smallest value in j, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 22*n**2 + 34*n - 13. Determine w(-20).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3597 = -3*z + 3639. Solve -3*k + 5*p - 29 = 0, -z*k + 10*k = -5*p + 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/525886 and -51\/344546.\nAnswer: 9991834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.104227*-0.4.\nAnswer: 0.0416908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31 + 120143.\nAnswer: 120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4363724, -8727450, -13091188, -17454944, -21818724, -26182534, -30546380, -34910268?\n\"Answer: -w**3 - 4363719*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-33) + (-35)\/11. Let x(u) = -4*u - 13 + 18 - 7 + 0*u. Determine x(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 652197 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180 a factor of 25799496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10716, -10710, -10700, -10686, -10668?\nAnswer: -10646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 44*k - 211 = -45*k, -4*k - 206 = -h. Suppose -6*n + 64 = -116. Calculate the greatest common divisor of h and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3434657*q**5 - 11*q**3 - 63063*q**2 + 2*q - 432 wrt q.\nAnswer: 206079420*q**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 7*c**2 + 12*c - 5. Let x be w(5). Let u(h) = -5 + 13*h**2 + 16 - 1 + x*h. What is the hundreds digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 69 - -6. Suppose -29 = x - u. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 3. Suppose 4*f - 2*i - 94 = 0, 2*f - f - 3*i = 21. Suppose -4 = 4*z - f. Solve 0 = -d*t - 10, -b + z*t = 2*b - 31 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -33*k. Let u(g) = -2*g - 33. Give u(r(o)).\nAnswer: 66*o - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-4))\/((-4)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 0.3, -0.27302.\nAnswer: -3\/7, -0.27302, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158 - 8926.\nAnswer: -9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 135 + 183. Let c = t + -68. Let o = 249.9794 - c. What is o rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times 952439?\nAnswer: 5714634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369215 a multiple of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -9*h + 7*h + h - 6. What is y(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**3 - 5*w**3 + 2*w**3)*(22 - 41 + 19 - 1027*w).\nAnswer: 1027*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*g + 29*g - 118*g**3.\nAnswer: -118*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -36 + (11 - 0) + (-3 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 22735878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 266*t**5 + 291972*t**2 + 211581806*t - 1.\nAnswer: 5320*t**3 + 583944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/((-63)\/(-14)) + 8 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 - 14*v**2 - 32*v + 128.\nAnswer: -(v - 2)*(v + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3414*l**3 - 128*l**2 - 92*l**2 - 12143*l**3 + 220*l**2.\nAnswer: -15557*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 244 (base 7) to base 16.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43\/1741747 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 258096077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.68 + -0.7. Let y = -83680 + 83680. Sort n, 0.2, y in decreasing order.\nAnswer: 0.2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 6:23 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*b**5 + 6455*b**4 - 52694*b**3 + 146051*b**2 - 151176*b + 36036 = 0. What is b?\nAnswer: -546, 1\/3, 2, 11\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1560, 85, 4, -8, -2 in ascending order.\nAnswer: -1560, -8, -2, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -149\/5 + 30. Which is the closest to j?  (a) -2\/3  (b) 2\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4a3b601 - -5?\nAnswer: 4a3b606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -524 by -2.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1982*o**3 - 2*o + o - 2150*o**3 - o - 91 - 143 wrt o.\nAnswer: -1008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 420837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 210047, -4, -2 in decreasing order.\nAnswer: 210047, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 90270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/(-4)*2658\/(-30)*-4. Let u = g + -444. Which is smaller: u or 3\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 0.4, 4, 5, 0.14, 0.1, -6.2 in decreasing order.\nAnswer: 33, 5, 4, 0.4, 0.14, 0.1, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 19485972 to the power of 1\/2, to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v - 2. Let u be a(6). Let k be ((-1)\/4)\/((-4)\/u). Solve 0*o = o + k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i - 223. Determine l(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1*6)\/2*25\/(-30)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -9*z**2 - 3*z - 3. Let w = -7 + 12. Let a(r) = -5*r**2 + 8*r - 6*r - 10*r + 6*r - 2. Calculate w*a(d) - 3*h(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 10*b**2 - 11*b + 3. What is the remainder when 396\/10 + 2\/5 is divided by r(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0 + 20 - 18*a + 0 - 51*a wrt a.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 8:02 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (164\/(-8) - -1)) + 26\/52. Let n(r) = -r**3 + r + 17. Let f be n(0). Suppose 0 = z*s - f*s - 8. Solve 0 = -s*y - m - 3*m, -2*y - 2 = 2*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/16*(-3)\/(-18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*5 + (1 + -3 - -1). What is n in -3*n**2 - 5*n**4 + t*n + 18*n**2 + n = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 13 = -1. Suppose 8 + 1 = s*x. Suppose -u + x = -0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -193*n + 405*n**2 - 259*n**2 - 195*n**2 + (n + 0 + 0)*(-2*n + 0 + 0) - 5*n**2 + 2*n**2 + n**2.\nAnswer: -53*n**2 - 193*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -2877290.\nAnswer: 9\/2877290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 2*x + 93, -3*i - 3*x - 25 = 35. Let h = -117 + 217. Suppose -5*r = -2*t + h, 3*t - 20 = -0*r + r. Which is greater: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 811282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -374\/107?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 - (-55)\/8) + -1 + -2. Sort -5, x, -1\/7, -7 in increasing order.\nAnswer: -7, -5, -1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wl when two letters picked without replacement from jjiijllljlixixiw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 557*y - 3348. Determine d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 80 - 81. Which is the third smallest value?  (a) 5  (b) -6  (c) m  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -177.1  (b) 0.24  (c) 0.2  (d) 2\/15  (e) -0.1  (f) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*s - 22, 4*s = -6 + 2. Suppose a + 2*d = -a + 12, -4*a - d + m = 0. Solve -h = -a*k - k + 8, 0 = -3*h + 3*k - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 8) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7456441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3586663\/163 - -22004. Is 0 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (4 + (-7 - -5 - 1))) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2*w + 0 = 2, w + 2 = -g. Suppose 1 = 2*u + 7, g*d - 57 = 4*u. Suppose d = 3*z, 3*x = -x + 5*z + 7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, r: 2}. Give prob of sequence rrc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15599339 is divided by 2973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 + -15135437?\nAnswer: -15135448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 568635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4664159.41 to the nearest one hundred.\nAnswer: 4664200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -41220402 (base 5) in base 13?\nAnswer: -b9a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 - -55. Suppose -13*c = -12*c - n. Calculate the highest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -3)\/((-6)\/(-18)). Suppose j = -4*o - 13 + 29, v*o + j = 13. What is the highest common divisor of o and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + (13 - 12) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -230*t - 15. Let o(y) = 689*y + 46. Let k(s) = -8*a(s) - 3*o(s). Suppose -4*p = 14 + 6. Is k(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -28*r - 18*r + 69*r - 19*r. Let h(s) = s**2 - 4*s + 4. Let a = 5 - 6. Let y(v) = v**2 - v + 1. Let k(j) = a*h(j) + 4*y(j). What is k(u(c))?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-4))\/((v*v\/(v\/v**(5\/4))*v)\/v)*(v*v*v*v**(-1\/6)*v)**(-10) assuming v is positive.\nAnswer: v**(-523\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3710978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/6*-1*6. Suppose -28 = -4*k + 4*n, -n - 1 - m = 0. Suppose 2*d + 5*j = 4 + 29, d - 29 = -5*j. Solve d = k*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x**5 + 14320*x**4 - 4772*x**3 = 0 for x.\nAnswer: 0, 1\/3, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8.618893 times 0.1\nAnswer: -0.8618893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 312.1723km to micrometers.\nAnswer: 312172300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -145.862 - 0.138. Let o = -147.06 - s. Round o to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 105, 400, 995, 1974, 3421, 5420, 8055, 11410?\n\"Answer: 14*r**3 + 66*r**2 - r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**2\/5 - 11848*o - 2848128\/5 = 0.\nAnswer: -48, 29668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.96 and 1.121.\nAnswer: -4.43916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-11)*(-4092)\/558.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(-2*(sqrt(4) + sqrt(4)*-2)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/(-8)*4 + -3. Let y(g) = g**3 + 12*g**2 - 13*g + 17. What is the units digit of y(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d - 18*d = 144. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00049128 to 6 dps.\nAnswer: 0.000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -37 - 3*r - 6 - r + 16 + r. Let o(f) = -2*f - 14. Determine -3*d(l) + 5*o(l).\nAnswer: -l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1393440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 10:27 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4486 is divided by 3725.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -89*z + 6. Let t(p) = 223*p - 15. Let x(g) = 5*m(g) + 2*t(g). Let w(y) = -70*y + 3. Let u(o) = -o + 1. Let k(j) = 3*u(j) - w(j). Calculate k(x(i)).\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-3\/5)*j)\/((((j**(-1\/4)*j*j)\/j*j*j)\/j)\/j)*j**(3\/8)*j\/(j**(-1\/5)\/j)*((j\/(j**(2\/11)\/j))\/j**7)\/(j**2)**(-21) assuming j is positive.\nAnswer: j**(17619\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 54. Let j = x - 24. Which is smaller: 11 or j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 494569268 times -3?\nAnswer: -1483707804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u + 5. Let f be b(4). Let s be (-1)\/4 - (-70)\/(-8). What is the units digit of (-2)\/f + (-110)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -3) + (-8)\/7. Put d, 0.09, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, 0.09, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362491 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -14*u**2\/9 - 4364*u\/9 + 416\/3 = 0.\nAnswer: -312, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2\/13 - 3348*k\/13 - 121138\/13 = 0. Calculate k.\nAnswer: -1637, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -427, -784, -1141, -1498, -1855?\n\"Answer: -357*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 - (-13 + 6 - -11 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -69619464 divided by -36\nAnswer: 1933874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 197316.6 milliseconds to nanoseconds.\nAnswer: 197316600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 11*s**2 - 26*s - 5. Let i(h) = -6*h**2 + 14*h + 2. Let l(q) = -7*i(q) - 4*z(q). Let r(k) = -2*k**2 + 5*k + 5. Calculate 6*l(c) - 7*r(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -163?  (a) 0.28  (b) 1\/4  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 8:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 116*z**3 - 123*z**2 - 6436*z - 9. Calculate f(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 21 = l, -10 + 4 = 2*l for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227143?\nAnswer: 7, 37, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18345.73ml in litres?\nAnswer: 18.34573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -372*v**5 + 127*v**5 + 125*v**5 - 2*v + 2*v - 176*v**2 wrt v?\nAnswer: -7200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110.7055 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5530963 is divided by 83.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssssssssssssisssss?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u**2 + 4*u - 986 + 986 - 22*u**2 - 12*u**2.\nAnswer: -25*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 692*u - 14. Let g(r) = 939*r - 19. Let m(f) = 14*g(f) - 19*y(f). Let k(x) = -6102*x**2 + x. Calculate m(k(i)).\nAnswer: 12204*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i**(-1\/2)\/i*i)\/i*i)\/i)**(2\/15)\/(i*(i*i*i*i**(-1)\/i*i)\/i*(i*i*i**(-2\/11)\/i*i)\/i))**(-29) assuming i is positive.\nAnswer: i**(13804\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**4 + 11*y**4 - 2*y**3 + y + 2*y**2 + y**4 + 2*y**4 as m + r*y**4 + v*y**2 + b*y + h*y**3 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -20256, -41033, -62322, -84117, -106412, -129201, -152478, -176237?\n\"Answer: t**3 - 262*t**2 - 19998*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 0. Let g(r) = 3*r - 10. Let o(p) = -p + 2. Let c(u) = -g(u) - 2*o(u). Give c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61408 and 8854?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/1623 and 79\/15.\nAnswer: 8115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**22\/j*j\/((j*j**(7\/4))\/j) assuming j is positive.\nAnswer: j**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12571 - -0.13\nAnswer: 12571.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 14. Suppose -833 + 259 = -y*i. Suppose -i*h + 12 = -38*h. Solve -2*w + 10 = 0, -h*w + 0*w + 5 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 8673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 1. Suppose 1959 = -f*n + n. Let j = n - -5215\/8. Find the common denominator of -49\/2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 + 0*w**2 - w**2)*(-2*w + w + 3*w) + 3*w**3 - 2 + 11*w**2 - 11*w**2.\nAnswer: 5*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51 + 47. Let h(j) = -j**3 + 3*j**2 + 5*j. Let f be h(4). Sort 2, z, f in descending order.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/269 - -797\/2690. Let k be (6\/14)\/(27\/6). Let m = -708 - -711. Which is the closest to -0.1?  (a) k  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-540)*1*3\/(-2)*(-10)\/(-60)?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10269 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 522 divide 980077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/9)\/(-10*30\/1350)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuujjuuuuuujuuuu. Give prob of picking 3 u.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 612232 and 14008.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*f + 7912647 = 48*f + 337501. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + -2.99. Let g = -2 - s. Let f = -20 - -25. Sort -0.4, g, f in descending order.\nAnswer: f, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 299 divide 664479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-9)*((-1377)\/540)\/(10\/(-50))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -218\/297 - -64\/27. Let x(q) be the first derivative of 2\/11*q**4 - 12\/11*q**2 + j*q - 4\/33*q**3 + 2\/55*q**5 - 9. Factor x(n).\nAnswer: 2*(n - 1)**2*(n + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6722*i + 6746*i = -984 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-10)\/7)*(-634)\/(-6657)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 195.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, -1, -0.1, -4 in descending order.\nAnswer: -0.1, -1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*p + 22 = -108 - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 50966147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + f - 51 = 0, -2*d - 6*f = -f - 2. Let a = d + -7. Suppose 4*j + 4*n - 4 = -0*n, -2*n + 10 = a*j. Solve -j*u + 5 = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 6*l**2 + 5*l + 5. Let t be f(-5). Solve t*j + 14 = 2*d + j, d - 3*j - 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -12*u + 33. What is the remainder when s(0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -122210 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91220, 729853, 2463308, 5838995, 11404324, 19706705, 31293548?\nAnswer: 46712263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.6 * 78.002.\nAnswer: 202.8052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31473\/135 - 6\/45?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-612)\/(-24))\/(-29 + (-1919)\/(-76))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3306519 or 0?\nAnswer: -2\/3306519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -13*r**5 - 36*r**4 - 137*r**3 - 2*r**2 + 2. Let n(l) = -8*l**5 - l**3 - l**2 + 1. Let i(a) = -d(a) + 2*n(a). Factor i(t).\nAnswer: -3*t**3*(t - 15)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 53, 88, 121, 152, 181?\n\"Answer: -p**2 + 38*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.06961 + -1.06961. Which is the closest to 0.1?  (a) -3  (b) x  (c) -118  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w + 674. Let a(v) = -2*v**2 - 68*v - 34. Let b(d) = -d**2 - 24*d - 12. Let i(f) = 6*a(f) - 17*b(f). What is i(c(t))?\nAnswer: 5*t**2 + 6740*t + 2271380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 36 + 19?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -60. Let h = m - 32.0027. Round h to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b. Let q(x) = 21*x - 39. Let y(c) = 3*c + 1. Let w(p) = -q(p) + 5*y(p). Calculate w(d(h)).\nAnswer: -24*h + 44","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of 5*r**3\/6 + r**2\/2 - 18*r + 29. Let w(j) be the first derivative of d(j). Determine w(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/4200 and -103\/50?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 6*q - 1. Let a(v) = -v. Let f = -148 + 152. Suppose 4*l + i = 2, -l - 4*l = -5*i - 15. Determine f*a(m) + l*y(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 1710578 = -7929422. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 1) + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1416 (base 9) in base 5?\nAnswer: -13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 539937 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 + 132*h**2 - h - 70. Calculate x(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - v**3\/6 + 3*v**2 + 6*v. Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54406443 is divided by 1362.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**2. Let t = 217 + -208. Let z(c) = -2*c + 4*c + 3*c - t*c. Calculate p(z(j)).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000007373 rounded to 7 dps?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 5 = -19. Suppose 4*p - 5*o + 8 = 22, w*p + o - 1 = 0. Solve -p = -m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(36\/(-5) + 7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**2 - 4*v. Let p = 64 + -61. Calculate the remainder when (-354)\/(-15) + (-3)\/5 is divided by o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h. What is the smallest common multiple of y(-3) and (162\/12 + (-3 - 1))*4?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/9)\/(24\/(-9) + 2). Let j(u) be the first derivative of u**3 + h*u**2 + 0*u + 2 + 1\/5*u**5 + 3\/4*u**4. Let j(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08293*-0.1\nAnswer: 0.008293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5967.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**3 + 265080*k**2 + 4240061892*k - 5067614263536 = 0.\nAnswer: -33693, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/75926 or 0?\nAnswer: 3\/75926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 352\/(-20)) + 9\/(-15). Is ((-4)\/(-3) - 7\/y) + 41 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2576680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -1, 51, 103, 155?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**2\/17 - 103288*a\/17 - 1032680\/17 = 0. Calculate a.\nAnswer: -51634, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h - 2*h + 4*h - 3*h**2 + 2*h as u*h + f*h**2 + z and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -0.5789.\nAnswer: 17.4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((672\/35)\/3)\/((-3)\/((-15)\/2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 831 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - m - 8. Sort -1, 6, m in decreasing order.\nAnswer: 6, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3189666145?\nAnswer: 5, 637933229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/7)\/(c*c**(-4))*c\/c**4*c*c**(-1\/9))**(-1\/2) assuming c is positive.\nAnswer: c**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - ((-6)\/(-24) - 20\/16). Suppose -75*d + 4504 = 3*h - 77*d, o*d = 16. Does 41 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 + -24. Let h = -43938 - -43943. Solve 2*v + v + h*s - 29 = 0, -y = -5*v - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10676171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.5 and -178542.\nAnswer: 267813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108900*m**5\/7 - 48180*m**4\/7 - 56216*m**3\/7 - 5608*m**2\/7 + 1140*m\/7 - 36\/7 = 0. What is m?\nAnswer: -1\/3, 3\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/14611 and -49\/114.\nAnswer: 87666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 62*(-4)\/8 + 4. Let z = m - -18. What is the common denominator of 46\/3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sjz when three letters picked without replacement from fqszj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -25\/11762 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 4  (b) 17.8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -248, -236, -224, -212, -200?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 35983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 13123?\nAnswer: -13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(((sqrt(2299) + -2)*-2 - (sqrt(2299) - (-3 + (4*sqrt(2299) - sqrt(2299)))))*-5 + -4 + 0))**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-8) + (-5)\/(-10). Let n be (g - -1)*6*5. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vmlmmvllvmmlvv. Give prob of sequence mlmv.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-126)\/(-36)*(-16)\/(-616). Sort j, -6798, 5.\nAnswer: -6798, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9628484 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, q: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/(-121)*((-55)\/5)\/((374\/51)\/(-22))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + -5 - (22 + -7 + -44)) + -6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 598852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 10*v + 2. Let p be y(-10). Suppose -2*a - z + 7 = 0, 0 = -5*a - p*z - 3*z + 20. Let f(s) = s + 2. What are the prime factors of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3559814?\nAnswer: 2, 227, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 34774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 5, 4\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/5 - 1182*w\/5 - 3537\/5.\nAnswer: -(w + 3)*(w + 1179)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 404.0776 decades in centuries?\nAnswer: 40.40776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 11 - 13)*(-3 - 1 + 0)*(113*a - 24158 + 24158) as i + y*a and give y.\nAnswer: 12656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2750*q - 670. What is the units digit of z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11870393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3)\/r*r)\/r**(-7))**(-42)\/(r**3*r**(-3\/2)\/r)**29 assuming r is positive.\nAnswer: r**(-561\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (1 + 0 + 10 + -182 + 165).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325 = 27*u - 26. Calculate the highest common factor of u and 2951.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + m - 16 = 0. Suppose -m*v + 3*v = 0. Let c be 11000 - (-1 + (v - -1)). What is c rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162195 divided by -6.\nAnswer: -54065\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 2)*(28 - 28 - 34*i)*(-2 - 2 + 3).\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**2\/2 + 9*x + 8. Let y be h(0). Solve 5*g = 5*t + 5, 0 = 3*t - y - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5083205 + -2.\nAnswer: 5083203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + d. Let n be z(-2). Suppose -n - 36 = -19*m. Solve -2*i - m*i + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 515, 1014, 1503, 1982, 2451, 2910, 3359?\n\"Answer: -5*h**2 + 514*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -2, 6 in descending order.\nAnswer: 6, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 1. Let z(o) = 7. Let m(f) = 10*d(f) - 2*z(f). Let p(x) = x + 1. Let h(j) = -2*m(j) - 2*p(j). Let u(w) = -2*w + 5. What is 5*h(l) - 6*u(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-7 + (-6 - -22) - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 28*f**4 - 13*f**3 - 34*f**2 + 13*f + 6 = 0.\nAnswer: -1, -2\/7, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(156) - (sqrt(156) + sqrt(156)*-2 + sqrt(156) - sqrt(156))) - sqrt(156))\/(sqrt(588)*-2) + -1)**2.\nAnswer: 5*sqrt(13)\/7 + 521\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2164, -4192, -6086, -7852, -9496, -11024, -12442?\nAnswer: -13756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -464 - -467. What is the closest to -0.105 in 4, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 8:07 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.27286 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.071 + -0.071. Let v = -6 - -8. What is the second biggest value in y, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -10*b**2 - 18*b + 421. Give c(8).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 101590 to the nearest one thousand.\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*s*x**2 - 20*s - 117*x**4 + 5 with respect to x.\nAnswer: -4*s*x - 468*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-11)*d\/d**(-13) assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 193076 and 2580112?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 67493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 448464 = 682\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(10\/7)*z*z\/(z\/(z*z**(-3\/11)))*z*z)\/((z**(-1\/23)\/z)\/z)**(-24) assuming z is positive.\nAnswer: z**(-77725\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 13570104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -25, 5*w + 5*n - 33 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -1412*i - 77680. Determine f(-57).\nAnswer: 2804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -747.76 - -776. Let w = y + -30. Let f = w + 1.7600286. What is f rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*q + 67 - 797 - 602 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**6\/10 + s**4\/3 - 5*s**3\/6 - s + 3. Find the second derivative of b(u) wrt u.\nAnswer: -36*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 32\/(-6)*(-30)\/8. Suppose o = -o - c. Let i = 25 + o. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-11) - 23616\/(-132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 - -134. Let p = h - 48. Is p < -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15548 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d*d**(-1\/17))*d**13)\/(d\/d**(9\/4)*d**(1\/9)))**(2\/19) assuming d is positive.\nAnswer: d**(9301\/5814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 80 = 2*a, -5*a - 2*g + 4*g + 152 = 0. Let j(w) = w**2 - 14*w - 4. What is the remainder when a is divided by j(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-18) - (-662)\/18. Suppose -17*p + o*p = 20. Solve -2*v = p - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1)*((3 + q - 3)*(-3 + 9 - 8) - 3*q - q + 0*q)*(-4*q**3 - 24 + 24).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(4\/6) - (-1 + 1). Let b be 1\/(h\/6)*69\/(-6). Suppose -3*w + 52 = -b. Are -1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, y: 2}. Give prob of sequence ys.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25\/3 in -50, -1.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.4, 296.89, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 17*w + 149*w + 42*w + 39*w + 37*w. Let l(k) = k. What is m(l(j))?\nAnswer: 284*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**3\/2 + 550691*t**2 = 0 for t.\nAnswer: -1101382, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13206552 and 9384.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i - 4*c = -240, -c = -3. Let w = 107 - i. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 8, p: 3}. Give prob of picking 2 p and 2 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 7*p + 3. Let a be w(11). Let r(u) = u**2 + 5*u - 7. Let d be r(5). Let f = a - d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 10, 40, 92, 172, 286?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 727*w - 12824 + 2539 = -3692 + 71196 for w.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/6)\/((-384)\/2592).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g + 12. Let a be s(15). Let w(p) be the second derivative of p**3\/3 - p**2 - 9*p. Let k(b) = 3*b - 2. Give a*k(c) + 4*w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27060 and 3015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (582\/23668)\/((-9)\/12804) - -35?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6 = 6*s + 4*o, 0 = 5*s + 5*o - 15. Find the second derivative of -s*d**5 + 36*d - 17*d**5 + 0*d + d**5 wrt d.\nAnswer: -440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 12:55 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of 32 + 28\/3*x**3 - x**4 + 16*x**2 + 0*x. Factor z(q).\nAnswer: -4*q*(q - 8)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 + 2386040*j - 2386044.\nAnswer: 4*(j - 1)*(j + 596511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*1*(-1026959)\/166 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -150*-2\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 301 divide 854133691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y + 6. Let o be k(6). Suppose -5*l + 7*l = -o. Is -363*(0 - (-4)\/l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/8)\/(9\/12). Let p be (-6)\/4*4\/n. Suppose -3*g = -2*s + 23, 0 = -2*s + g + p + 10. Solve 3*b = -5*x + 22, -3*x + 21 = s*b - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-27)\/72)\/((-140)\/(-64) + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**2 - 5. Let n(b) = 4*b - 14. What is the remainder when y(-4) is divided by n(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/108*1)\/((-23)\/(-2277)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15094 is divided by 7238.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**7\/2520 - k**6\/240 - k**5\/60 + 2*k**4\/3 - 11*k**2. Let t(q) be the second derivative of u(q). Factor t(y).\nAnswer: -(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 247*y**5 + 494*y.\nAnswer: 4940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 10. Let t be v\/((-2)\/(2 - 0)). Solve -s + 6*s = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*4*(-5 + -5*2*(-2 + 4 + sqrt(176)*-1) + -1))**2.\nAnswer: -133120*sqrt(11) + 1169664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 5:18 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 - 29. What is the second derivative of 4*l + y*l**4 + l + 10*l wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - -1)*(-8)\/(-6). Suppose -4*q + 4*l = 8*l, 0 = 5*q - 3*l - 16. Let x(c) = 0*c + 159 - 156 - 2*c**q + 6*c - c. Determine x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 38 and 0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 - 4*l**2. Let i(x) = -7*x**3 + 3*x**2 + 7*x. Let a(f) = 3*f**3 - f**2 - 3*f. Let n(t) = 5*a(t) + 2*i(t). Give d(m) + 4*n(m).\nAnswer: 2*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 414718187.\nAnswer: 13, 19, 43, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from zzozzzzzzoozzzz?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 271.86?  (a) 5  (b) -1\/4  (c) 0.1  (d) -2  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**2*(m**(1\/13)*m)\/m)\/(m**(-1\/4)*m)**35 assuming m is positive.\nAnswer: m**(-1153\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -97407.879 to zero dps.\nAnswer: -97408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 9*l**2 + 9*l + 8. Suppose -5*h = 5*u - 40, -2*u + 0*h = -4*h - 16. What are the prime factors of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -590490861*m**4 - 271780295*m**2 wrt m?\nAnswer: -14171780664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 39*j**2 + 49*j + 20. Give q(-38).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20161 (base 7) to base 9.\nAnswer: -6637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -2, 48, -4 in descending order.\nAnswer: 48, 22, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/18 and 25\/68574?\nAnswer: 205722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(-2 + (sqrt(245) - (sqrt(245) + 1)) - sqrt(245))*-5 - (5 + (sqrt(245)*1 + 3)*5))*2)**2.\nAnswer: 72800*sqrt(5) + 408900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10239, -20462, -30679, -40890, -51095, -61294, -71487?\n\"Answer: 3*t**2 - 10232*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(44)\/sqrt(4))**2 - -2*sqrt(99).\nAnswer: 13 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -20*v**2 + 6*v - 155\/6*v**4 + 0 + 110\/3*v**3 + 21\/4*v**5. Let m(y) = 0. Calculate y.\nAnswer: 2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -77 + -4?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.7001 litres to millilitres.\nAnswer: 16700.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n + 19. Let y(s) = 9*s - 57. Let i(m) = -8*h(m) - 3*y(m). Let q be i(-12). Suppose 5*t - 215 - q = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h + 15. What is c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*u + 21*u - 68. Let w(g) be the second derivative of 0*g**3 + 1\/12*g**4 + 0*g**u + 0 + 5*g. Let d(f) = 4*f. Give d(w(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (401*h - 2734*h - 59*h)*(0 + 4 - 3)*(3 - 2*h**3 - 3).\nAnswer: 4784*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91549400?\nAnswer: 2, 5, 167, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -224 + (8 - 3)*8\/10. Let y = 225 + j. Solve -y*p + 5 = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10403341 (base 5) to base 12.\nAnswer: 44874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1495669 or -1495667?\nAnswer: -1495667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/12*-18*4\/(-7938).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.6 - 7. Let d = 1133\/4468 - 4\/1117. What is the third biggest value in 86, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 11. Let f(w) = -w**2 - 2*w + 5. Let t be f(q). Let g(i) = -7*i**3 + i**2 + 3*i + 2. Is g(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.6 + -5.6. Let y = b - -4.7. Put 5, -5, y in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -57 - -33899?\nAnswer: 33842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2236 (base 11) in base 4?\nAnswer: 231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(4\/(-6)*12\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 11:24 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -r - p + 19, -3*r + 67 = p. Let q = -5 + r. Solve 4*z + q = s, 3*z + 4*s + 17 = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 36*s**3 + 2*s**2 + 4*s + 3. Let x(a) = -145*a**3 - 7*a**2 - 16*a - 11. Let h(c) = -9*p(c) - 2*x(c). Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4260 (base 7) to base 4\nAnswer: -113220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-5) + (-7)\/5. Does 3 divide q\/((3 - 5)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2850016 and -4?\nAnswer: 1.1400064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -86331325 and -86331321 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**2 - 89836356*c - 359345376 = 0. Calculate c.\nAnswer: -29945448, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -97 + 28 + 17 + 21\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77 + 8. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/3))**(2\/25)\/(a**(2\/11)\/(a*a**3)) assuming a is positive.\nAnswer: a**(3172\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4920 and 820?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8832253, -8832240, -8832229, -8832220, -8832213, -8832208?\nAnswer: -8832205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 421 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-0.2333.\nAnswer: 0.11665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 4:58 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 224eec + b3?\nAnswer: 224f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) - -2*sqrt(95))\/sqrt(5) - ((sqrt(76) + sqrt(76)*-2)\/sqrt(4))**2) + 2.\nAnswer: -17 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/49 in -8, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 498193 and 6419?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 946*l - 1956*l + 353562 = 1912*l for l.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5450408?\nAnswer: 2, 137, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9673 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 228887 and 228884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2543100 (base 8) in base 2?\nAnswer: 10101100011001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 + 0*x**3 - 2*x**3)*(5 - 5 + 5)*(x**2 - 5*x**2 + 2*x**2).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -1055*n + 1054*n + 17828 - 17824. Suppose -4*x + 2*x = 5*c - 55, -44 = -4*c - x. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -227*y + 78*y + 77*y + 73*y. Let f be k(2). Solve 4*q + 5 - 1 = 4*u, 0 = -4*u + f*q - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 1554 - 1554 + 25*c. Let x(w) = 2*w - 67. Give i(x(t)).\nAnswer: 50*t - 1675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = -4*u - 2*z, 0 = 5*u + 2*z + 133 - 2. Let j = u + 19. Let w be j\/6*63\/(-7). Solve p - 5*p = w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 0)*(-4*t + 5*t + 4*t)*(t + 6 - 6).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3448, -6898, -10348, -13798, -17248?\n\"Answer: -3450*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 380 and 245580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 10*k**2 + 11*k + 25. What is the units digit of y(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3705537 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 0*z + 0*z**7 + 1\/3*z**4 + 1\/112*z**8 - 4*z**2 + 0*z**3 + 0*z**5 + 0 + 0*z**6. Find the second derivative of s(p) wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1\/5  (b) -1  (c) 2  (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 56, 0.01, -1\/11, -0.3, 6, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2674*n**3*x - 121*n**3 - 7*n with respect to x.\nAnswer: 2674*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -927 - -520. Let u = 416079 - 4988057\/12. Let z = d + u. Calculate the common denominator of -11\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4071268)\/(-429618) + (-6 - -7). Let q = 3\/10229 - v. Let w = q - -74\/7. Which is the smallest value?  (a) 4  (b) -4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14565 + 17113. Calculate the remainder when p is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 951495 is divided by 461?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22b7 (base 12) to base 11.\nAnswer: 2a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1176 and 42.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (4 + -3 + 2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/14)\/(17\/119). Let f be (-6)\/21 - (-2)\/7. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20\/13, -1, 5\/4, 14 in increasing order.\nAnswer: -1, 5\/4, 20\/13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o + 48. Let q(f) = -2*f - 49. Let c(t) = -2*n(t) - 3*q(t). What is the derivative of c(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43 by -3.\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 9187449514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 297 - 593\/2. Let y(x) be the first derivative of x**3 - l*x**2 + 1\/4*x**4 + 2*x + 3. Give y(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -11. Let g = m - 1. Let z(r) = -2*r + 14. Does 7 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -4*m + 30, 2*x = 3*m - 18 + 6. Let c = -2 + 0. Let z = c + m. Solve 3*y = 5*y - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5141*w + 1614*w - 6410*w + 1131*w in the form v*w + n and give v.\nAnswer: -8806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 8:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*b**2 - 20*b**2 - b - b**3 - 1849*b**4 + 1556*b**4 wrt b?\nAnswer: -7032*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210.8 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 333696 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1576*i**3 + 3 + 220*i**3.\nAnswer: -1356*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from muumemummheueuuuuesm. Give prob of sequence mmuh.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 72 - 75. Let w(t) = t**3 + 4*t**2 + 6. Let r be w(b). Differentiate -r*p**3 + 55*p**3 + 0 + 22 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 6 - 6)*(-f**2 + 2*f**2 - 3*f**2)*(3*f - 58 + 58).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than or equal to -1137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 26220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -3 + 136 + -118?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 - 4. Let i be g(-2). Put 5, -2, i, 0 in decreasing order.\nAnswer: i, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((4 - 10) + 5)*(-2 + 2). Factor h*j + 1\/3*j**2 + 0.\nAnswer: j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-14) - (-72)\/42. Suppose -4*i + d*i = -2. What are the prime factors of (i\/(-1))\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1137, 3092, 5047, 7002, 8957, 10912?\n\"Answer: 1955*c - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 972*g**2*n**2 - 5*g**2 + 112*n wrt n.\nAnswer: 1944*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1558129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 2:47 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 6:41 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(77) + (sqrt(77) - sqrt(77)*3) + sqrt(77))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -r - 2*m, 5*r + 50 = -5*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177810.\nAnswer: 2, 3, 5, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1769 - -1894. Let c be (-675)\/k*(-20)\/16. Determine l, given that -9\/2 + 75\/4*l + c*l**2 = 0.\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.32 + -27.32. Let c = -29 - n. What is the biggest value in 1\/6, c, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blllsbbbles. Give prob of sequence sbe.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*f + 1123 + 977 = 0. Suppose 10*b + f = 11*b. Solve -3*v + 4*q = -31, 7*v - 5*q = 4*v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + (-9 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.91 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1538799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.56 - -11.56. Let c = 45\/56 - 3\/8. What is the closest to c in 0, -0.3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/18 and -58\/1233.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.054 + -0.058. Let k = 0.096 - y. Which is the closest to 0.5?  (a) -1  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -5\/4, 3, 264, -5 in descending order.\nAnswer: 264, 7, 3, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.6 + 3.9. Round u to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 13*c**2 + 14*c + 11. Let m be n(14). Suppose -m = 4*j - 3. What is the closest to 0.1 in 0.2, -7, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = -2*m. Let s = m - 4. Suppose s = -4*n + n + 30. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 times 20745235\nAnswer: -290433290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 6*q + 2. Let t be j(6). Let w be (-355)\/(-10) + t\/4. Suppose -146 = -2*y - w. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - -23) + -9 + 20 + -83?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -171 + 182. Suppose 0 = -10*f + j*f - 116. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4380 and 21405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 756 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5360, 10724, 16088, 21452, 26816?\n\"Answer: 5364*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 34*l - 4. Let h(i) = 1823635*i + 2*i**2 - 1823635*i. Calculate h(d(y)).\nAnswer: 2312*y**2 - 544*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1132.5 + 1133. What is the closest to -1\/15 in -0.1, -1.6, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1217*l**3 + 7*l**2*o - l**2*p**2 + o*p - 29*o + p**2 - 184*p wrt l?\nAnswer: -3651*l**2 + 14*l*o - 2*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 25 = -4*a + 2, -3*a + 15 = 2*s. Suppose s*c - 105 = -2*c. What is the greatest common divisor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 590 - 327. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + ((-16)\/(-10) - -2)*20\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 117, 1, 5, -4, 384 in ascending order.\nAnswer: -4, 1, 5, 117, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 226 * 19299.\nAnswer: 4361574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-4) + (-175)\/1260\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 11:19 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, z: 1, s: 2, f: 1, n: 2}. What is prob of picking 1 z, 1 s, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 18*a - 34*a - 17*a as c + j*a and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.508 + 0.048. Let o = y - -0.46. Let a = -0.2 - -0.3. What is the fourth biggest value in a, 2, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2 + 8 = 0. Suppose 0 = 3*u + n*u + 15. Let d(b) = -b + 1. Let f be d(u). Let g(i) = -i**2 + 3*i - 3. Give g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**10\/50400 + b**6\/144 + 2*b**5\/15 + 4*b**2. Let t(d) be the third derivative of s(d). Differentiate t(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 22576 and 22574 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.92 + 0.18. Let a = 1.08 - k. What is a rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1005 and 17?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*d*m**2*v**2 - 2*d*m**2 + 18*d*v**2 + 2*m**2*v**2 + 32*m**2 wrt v?\nAnswer: 6*d*m**2*v + 36*d*v + 4*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 10*l**2 - 68*l + 453. Calculate y(-7).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2*y - 4 - 14 = 0, -23 = -3*z - y. Is z\/(-16)*(-3 - 15631) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, m: 4, b: 3, v: 4, j: 1, r: 3}. What is prob of picking 1 r and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/11)\/((f**1\/f)\/f)*f**3\/((f**(13\/5)\/f*f)\/f) assuming f is positive.\nAnswer: f**(127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n - 2*n**2 + n**2 + 3 - n. Suppose 0 = o + 2 + 2. Let c be u(o). Solve 3*h - p = -15, 0 - 3 = c*h + 3*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 3*f = -14, -4*f - 6 = -63*y + 62*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5009 + 6436. What is the remainder when u is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, p: 1, q: 14}. Give prob of picking 2 n and 1 q.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56\/3*s**2 + 2\/3*s**4 + 26\/3*s**3 - 1\/3*s**5 + 47\/3*s + 14\/3.\nAnswer: -(s - 7)*(s + 1)**3*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/17  (b) 1  (c) -2\/9  (d) 22  (e) -1595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - t. Suppose t*g = -5*g + 15. Let -z**3 - 2*z**2 + 0*z**3 - z**g = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -7. Let h = 26.6 + -27. What is the nearest to 1 in t, -1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.403542 times -24\nAnswer: 9.685008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.23003mg in nanograms?\nAnswer: 32230030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43961.\nAnswer: 43961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 228 and -9.45?\nAnswer: 237.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - t. Let m(o) = -891 + 9*o**3 + 2*o**2 + 891 - 5*o - 5*o**3. Let v(d) = -2*m(d) + 10*p(d). What is f in v(f) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1573)*1 + -1 + (sqrt(1573) - (5 + (sqrt(1573) - (0 + sqrt(1573))**2))) - ((sqrt(1573)*-2)**2 + 4 + 3).\nAnswer: -4732 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-5) - (-16 + 27*(-3024)\/(-4995))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 9 + 1 = 5*s, 2*s + 19 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - -0.9. Let f = 0.57 + -0.07. Suppose -3 = 3*s - 9. Which is the closest to -1\/2?  (a) f  (b) s  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 402 + -400. Suppose z*y - 1655 = 1623. List the prime factors of y.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-4*(5 + sqrt(17)))**2.\nAnswer: 4000*sqrt(17) + 16800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1231 + 1025. Which is the nearest to s?  (a) -0.2  (b) 3\/5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 28241288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**9\/a*a**2*(a\/a**(1\/10))\/a*(a\/a**36)\/a)**9 assuming a is positive.\nAnswer: a**(-2349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/(35819\/(-80109)) - 38.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l + h - 8, 122*l - 127*l + 5*h = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2*h - 4806769. Let n(f) = -11*f. Determine l(n(a)).\nAnswer: 22*a - 4806769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12090 and 7859895.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15998292 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g = 5*g - 27*g + 403 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t - 8. Does 2 divide a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11867, 43452, 94757, 165782, 256527?\nAnswer: 366992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 348*u - 1186 = 2642 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 divided by -1753?\nAnswer: -481\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7838782?\nAnswer: 2, 7, 559913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 + 773 = 83*p - 280 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 23*h**2 - h + 1. Let d be l(-2). Let t = 3 + -11. Is d\/2 + 4\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -24, -46, -98, -192, -340?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2531364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 322968 is divided by 161473.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 375701709673.18\nAnswer: 375701709678.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 470\/511 + -88\/73. Which is the nearest to -0.1?  (a) p  (b) 8  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-36)\/480*-4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 9*b + 7. Let q(p) = -6*p**2 - 72*p - 56. Let d(o) = -8*l(o) - q(o). Let r(g) be the third derivative of 15*g**4\/4 - g**2. Give d(r(i)).\nAnswer: -16200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 695. Let k = 7162 + m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 2*o**2 - 2*o + 5. Let f(x) = -x**2 - 14*x + 53. Suppose 0 = -75*t + 70*t - 85. Let l be f(t). Let v be g(l). Is v <= 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1302 at most as big as 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -3. Suppose b*k - 34 = -2*w + w, -2*w + 2*k = -38. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 210\/24*(-12)\/(-5). Solve -15*b - 30 = -n*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(3 + 3 + -1). What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-16)\/(-50))\/((-21)\/(-21)))\/(14\/(-35))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 66 = 75. Suppose -141 + 87 = -r*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12130 + 29389. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*a**3 - 12*a**3 - 7*a**3 + (3*a**3 - 2*a**3 + a**3)*(61 + 37 - 19) as u*a**2 + w*a**3 + g + p*a and give w.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 469 + 468 + 480 - 1883 + 466 - 383*z**2.\nAnswer: -383*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, n: 1, k: 12, l: 2}. Give prob of sequence klss.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/6 or -353.09478?\nAnswer: -353.09478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -0.01, -2\/13, -7\/4, 1, 0.079?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 34398729 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -1. Suppose -1 - k = -j - o, -4*j = o - 14. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2024)\/(-644) + 36\/(-56)*(-4)\/3. Factor 1\/2*c**3 + 0 - 1\/2*c**f - 1\/2*c + 1\/2*c**2.\nAnswer: -c*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*s - 1 + 2*s + 12 wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -395*b**3 - 6*b**2 + 16*b - 5. Let f(h) = -79*h**3 - h**2 + 3*h - 1. Let n(o) = -11*f(o) + 2*j(o). What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 146782701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4801 - -0.5.\nAnswer: 4801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*x + 219 = 56, 3*d = -2*x - 139. Let o be ((-78)\/(-91))\/((-1)\/d). Let i = o + -3. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of y**3\/3 + y - 12. Suppose 4*b = -3*u + 11, -4*b + 2*u + 0 = -6. Give n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 + 10*n**2 + 4*n**2 + 0 - 12 + n. What is the units digit of j(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-555 - 278 - 65)*(0*f - 3*f + 2*f) + (-1 - 2 + 2)*(0*f + 3*f + 0*f).\nAnswer: 895*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 36\/(-2) - -3. Let n = 122 - 121.9. Which is the third smallest value?  (a) -2\/13  (b) s  (c) n  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - c - 164 = 0, 0 = 3*z - 5*z + 5*c + 343. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114250 (base 7) to base 12.\nAnswer: bba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(170)\/(sqrt(360)*2) + (5*(sqrt(68) + -1*sqrt(68)))\/(sqrt(4) + -1*sqrt(8)\/sqrt(2) + sqrt(4) + sqrt(4)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s - 17*s**2 - s**2 + 2 - 48*s**2 - 1 - 3*s**3 to b + h*s**3 + q*s + c*s**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*1 + (-7 - (-91)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*x - 20 = -41*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/16)\/((-98)\/56). What is the closest to 1 in r, -0.1, -110?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6663 and 16860?\nAnswer: 37446060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of r**3\/6 + r**2\/2 - 13*r. What is j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.371845 and -0.3?\nAnswer: -0.1115535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -42*2\/(-6)*3 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b + 0 - 3 + 1 - 12. Let n be q(18). Suppose -2*h - 8 = -0*h. Sort h, n, -3 in increasing order.\nAnswer: h, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - (-45)\/18)\/((4 - 3)\/(-2)). Suppose -5*x + 37 = -88. Suppose -x = -2*z - 7*u + 4*u, 2*z + d = 3*u. Solve 4*n - 21 = -z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*m - 14*m + 24*m)*(-5*m - 25*m + m - 8*m).\nAnswer: 111*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.08 from -960007.\nAnswer: -960006.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 21 = 2*o, -2*d - 54 = 2039*o - 2034*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 1225.3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3 - 327. Let n = 472 + z. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 2360 - 748. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -53\/12, -0.074, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68017452.\nAnswer: 2, 3, 353, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-32) + 2\/8. Suppose 2*v - 4*y + 14 = z, -3*v = 5*y - 12 - 11. What is the derivative of 4 + 8*g + 1 + v + 1 wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*n - 4 - 2)*(-22*n**3 + 10*n**3 - 3*n**3).\nAnswer: 30*n**4 + 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000013331625 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 978 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -651919 > -651946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1387 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 11 - 2*q**3 - 4 + 3*q**3. List the prime factors of d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28978543.\nAnswer: 11, 79, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 18, 5, -0.4 in increasing order.\nAnswer: -4, -0.4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.25*0.0001111\nAnswer: 0.000027775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3789 divide 1122846896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 times 14?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 4 + 4 - 1. Differentiate -7*u + 0 - 4 - f - 3*u wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-4) - -314*(-1)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2383251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -84680446 - -3?\nAnswer: -84680443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 19 + (-5)\/((-15)\/(-6)). Suppose -2*i - j = 3*i - 2*h, 3*i + 4*h = -5. Let z = 2.7 - 3. What is the closest to -1 in i, z, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4241.085mm?\nAnswer: 0.004241085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 385 divide 64366610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventy-six ninths of a hour?\nAnswer: 30400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 638814 a multiple of 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 38501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-7)\/(-5) + 6048\/630?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + (-12)\/14)*-7. Let u(b) = -b + 5. Let l(q) = q - 5. Let r(w) = 5*l(w) + 4*u(w). Let n be r(o). Sort -4, -5, n.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -3*y - 4*n, -n - 28 = 4*y - 113. Suppose -y = -o - 7. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 13*v**2 + 88*v + 27. Calculate p(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(3\/(6\/4) - (-150)\/(-70)). Put -2, n, 1 in descending order.\nAnswer: 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 11*l - 137. Let d be t(-19). Solve -3 = -3*u - u - n, 3*u = -5*n + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 30*l - 8*l + 82*l. List the prime factors of j(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -97, -100, -103, -106, -109?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -51958.79 and 2562423.\nAnswer: 2510464.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187936510?\nAnswer: 2, 5, 18793651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**3 + 1092722*g**2 - 9938*g - 377 wrt g?\nAnswer: -12*g + 2185444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0  (b) 2\/11  (c) 0.9  (d) 5  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/2673729 and 46\/9.\nAnswer: 2673729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1372.8 - -1371.8. Which is bigger: l or -24\/977?\nAnswer: -24\/977","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i - 374 = -569 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 6. Let i be x(6). Suppose w + 4 - 3 = i. Let d be (-2 - (-6)\/2)\/w. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 211*w - 402. Calculate h(6).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (2 + -25 - -8) + 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 66\/(-4)*(-26)\/13. Let y = x - 17. Let p be 18\/8 + 1\/(-4). What is the highest common divisor of y and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3\/3 + 9*u**2\/2 - 15*u + 2006. Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 2:08 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5*(0 + sqrt(200))*5 + -1)**2.\nAnswer: -500*sqrt(2) + 125001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 505 + 1935 = 0. Let l = q - 2837\/10. Calculate the common denominator of -3\/2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 7:12 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o**2 - 1 + 0 - 6*o - 11. Let h(f) = 3*f**2 - 3*f - 6. Let s(t) = 5*c(t) - 9*h(t). Factor s(y).\nAnswer: 3*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-51)\/(-9) - 4)\/((-15)\/(-54)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from jtliltprtljjtltll?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20219883 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 728 and 38402.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u - 8. Suppose -3*o + 14 = 2. Let h be k(o). Let n = 2.1 + -0.1. Sort h, n, 1\/7.\nAnswer: h, 1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 538 and 686.\nAnswer: 184534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 + -37. Let y(j) be the second derivative of 0*j**4 + 1\/42*j**7 + 0 + i*j**3 + 1\/60*j**5 + 2\/45*j**6 - 3*j + 0*j**2. Suppose y(m) = 0. What is m?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5788*q**2*s**3*w - q**2*w - 5*q*s**2*w + 2*q*w + 3*s**3 + 2*s**2 - 6*w wrt q.\nAnswer: 11576*s**3*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 323 - 555*w + 129*w - 147*w - 323 to t*w + o and give t.\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2e72 (base 15) to base 11\nAnswer: 7578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1175 - -0.2?\nAnswer: -1174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-156)\/(-520) - (-19)\/(-5))*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5507 + 5498 - (-28 + 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 972 + -741. Calculate the greatest common factor of j and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, j: 3, n: 3, o: 4, f: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*f**2*o**2 - 20*f**2*o - 107*f**2 + 2*f wrt o?\nAnswer: 18*f**2*o - 20*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 124 or 376\/3?\nAnswer: 376\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 5. Let y = 49837 + -49839. What is the third smallest value in l, y, -12\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 53380 and 9503.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-4)*(-104)\/6. Suppose -k = 4*c + 46. Let w be (-84)\/c + 4\/(-6). Solve -p + w = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 409*i**5 + 268*i**4 + 2*i**3 - 407*i**5 + 230*i**4 + (7 - 2 - 3)*(i**5 - 3*i**5 + 0*i**5) + 25 - 25 + 16*i**5.\nAnswer: 14*i**5 + 498*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2207659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((15\/(-16))\/(70\/(-336))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.12 + 0.26. What is the nearest to 0.2 in 2\/3, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.7965 * -39\nAnswer: -31.0635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (84056\/(-570))\/(-28)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 746, 3291, 7646, 13811, 21786, 31571?\nAnswer: 43166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -199, -5, 0.2, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10a (base 16) in base 3?\nAnswer: -100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -1037*b**4 + 2418*b**3 - 688*b**2 = 0.\nAnswer: 0, 344\/1037, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -3\/2, -5, -24, -2\/9, 3, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k - 2*k - 2*k)*(1 + 0 - 2)*(-2*k**2 + 2*k - 2*k - k**2 + k**2 + 2*k**2 + (-2*k - 2 + 2)*(-3 + 3 - 2*k) + 25*k**2 + 29*k**2 - 14*k**2).\nAnswer: 352*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/101  (b) -0.05  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 529613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -31*q**7\/42 - 10*q**3\/3 + q. Find the second derivative of l(f) wrt f.\nAnswer: -620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*t + 19*t + 592 = 21*t. Calculate the remainder when 3418 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(((-273)\/84)\/(-13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 4:56 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 36\/342 + 2040\/114. Let l be (-2)\/((-1)\/1) + 0 + -4. Let h(v) be the second derivative of v**3\/6 - 4*v. Let d(w) = 8*w - 1. Calculate g*h(u) + l*d(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -4819?\nAnswer: -5\/4819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - k**2. Let a be s(0). Let w be (a + 1)\/(2\/4). Let l(u) = u + 8. Let g(c) = -7. Let o(v) = -5*g(v) - 4*l(v). Calculate o(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-111*n - 169*n + 154*n)*(3 - 2*n - 3) - 3*n**2 + 2*n**2 + 4*n**2 to l*n**2 + u*n + p and give l.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 7*j**3 - 32*j**2 - 8*j - 20. Let v(g) = 9*g**3 - 37*g**2 - 9*g - 19. Let s(m) = 5*k(m) - 4*v(m). What is s(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.02, -17.8, 0.1?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 84 + 0 = 0. Let t = 55 + b. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 98560*m**4 + 485*m**2 - 164297567*m.\nAnswer: 1182720*m**2 + 970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wzpakapkgpppwz. Give prob of sequence azp.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 4*h = -15, b + 5*h = -0*h + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + 3 + 24)*6\/16. Let c(v) = 10*v**2 - 40*v - 11. What is the tens digit of c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 501 and 16.\nAnswer: 8016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 104 = 4*c, -2576*c + 2525*c + 1571 = -2*r for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202411103 (base 5) to base 4.\nAnswer: 3021212302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 43. Solve -2*h + 5*t - 8 = g, -3*h + 3*t - 3 = -0*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -79*a + 0 - 1\/8*a**4 - 1\/60*a**6 + 1\/3*a**3 - 1\/10*a**5 + a**2. Let y(u) = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -45*u**4 - 43*u**4 + 41*u**4 + (3 + 3*u - 3)*(-u**2 + 5*u**2 + u**2)*(-u + 0*u - u).\nAnswer: -77*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -22ab3?\nAnswer: 22ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-284)\/(-213))\/(-1 - 5\/(-3)). Calculate the remainder when -3*((-54 - -3) + z) is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-38)\/(-114) + 3508\/6 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 1))) + sqrt(1539) + 2 - (sqrt(1539) - -3*(0 + sqrt(1539)))**2)*-6.\nAnswer: -108*sqrt(19) + 147726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 771422 is divided by 59335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21313437 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 7. Suppose f*w - 4*h = 3*w + 4, w = -5*h + 13. Factor 2*p**w - 5*p - 2*p**5 + 2*p + p**5 + 2*p.\nAnswer: -p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -3*m - 4*b, -5*m + 198 + 22 = -5*b. Calculate the remainder when 200 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 2, 6 in decreasing order.\nAnswer: 11, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 103*n + 37 + 10*n**2 - 103*n wrt n?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 23*v + 733. Determine m(-30).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 793 divided by 3726.\nAnswer: 793\/3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -240*r**2 + 342*r - 43*r**3 + r**3 - 5*r**3 - 33 - 3*r**3 - 75.\nAnswer: -2*(r + 6)*(5*r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 5:28 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7560 - 7556. Solve 4*y + u = -15, 7*y - 5 = 4*y - k*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/12*(-143)\/(51480\/(-144))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1294)\/(-2) + (-6)\/(30\/25) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 12:10 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c + 68. Let h(t) = -t**2. Calculate h(b(x)).\nAnswer: -x**2 + 136*x - 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/608 and -25\/532.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/((k*k*((k**5\/k)\/k)\/k)\/k)))\/(k*k\/(k*k**(5\/6)*k)))**(-7\/13) assuming k is positive.\nAnswer: k**(-161\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -38+-15.41\nAnswer: -53.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*t - 193 = -6*f - 145, -3*f + 24 = 2*t for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10001 + 1111?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 30 = 5*o, 3*o + 16 = -4*x + 7*o. Let u(c) = 14*c + 5. Let j be u(x). What are the prime factors of (-37)\/(-13) + (-10)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, -1\/8, -24, 1\/4 in ascending order.\nAnswer: -24, -1\/8, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 63 = b, 3*b - 45 = 5435*q - 5432*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-222)\/(-7) - 2\/(-7) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/29514 and 68\/27.\nAnswer: 265626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 12 = -7*z, -a + 9 = -z. Let l = 19 + a. What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40 - (-18 + 7) - (-38 + 3)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 116887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllvvvvv. Give prob of picking 1 v and 3 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-44136)\/45 + 4\/20. What is the greatest common divisor of 218 and l?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0024 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/3408192 and -161\/37490112?\nAnswer: 37490112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvjvj. What is prob of picking 3 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1377, 257, -2, 5, -5, -4 in ascending order.\nAnswer: -1377, -5, -4, -2, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*w = 13 + 105, 4*s + w = -436. Let z = -33 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(0 + 3 - 2)*(4*v**5 - 3*v**5 - 5*v**5 + (-v**5 + v**5 - v**5)*(2 + 0 - 4) + v**5 + 0*v**5 - 2*v**5).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1037 by 63.\nAnswer: -1037\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 36  (c) 0  (d) 1\/5  (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -113 - -298. Let z(j) = -p - 2*j + 5*j + 187. Let a(k) = 2*k**2. Determine a(z(h)).\nAnswer: 18*h**2 + 24*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-38 - -18)\/(-5) - (-2 + 43\/8)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 7*b - 6. What is z(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14, -8, -58, -148, -290, -496, -778?\n\"Answer: -2*v**3 - 2*v**2 - 2*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.110017 and -5.\nAnswer: -4.889983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15689 is divided by 2170.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 30 = -3*m. Let g be (m + 0)\/(15\/(-20)). Calculate the common denominator of (g\/128)\/(1*3\/(-123)) and 11\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 0*j. Let y = 9 - 5. Suppose -y*d = 16, 2*z = -2*z + d + 4. Is j smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 979\/(-34) + 27387\/620772.\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wqswwssswswssw. What is prob of sequence qsww?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 630 and 11160?\nAnswer: 78120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 - 28. Calculate the greatest common divisor of 128 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -6*a**4 - 40*a**3 + 104*a**2 + 48*a. Let j(x) = 7*x**4 + 41*x**3 - 104*x**2 - 48*x. Let d(t) = 4*j(t) + 3*m(t). Suppose d(c) = 0. Calculate c.\nAnswer: -6, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/3 + 3*y**2\/2 - y. Let p be l(-2). Let w be 1\/((2 - 4)\/(-4)). Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 18 = 4*u, -2*u = -4*n + 2*u + 60. Suppose 4*z = 5*p - 280, 4*p + 15*z - 223 = 18*z. Calculate the remainder when p is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q = 2*p - 9*q - 6, 5*p - 24 = -4*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -256 + 262. Suppose -3*p - a = -15. Solve 0 = y + w + 1, -3*y + 5*w - p = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 24028 + 461?\nAnswer: 24489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -10. Let g = -2.2 + 1.2. Let x = k - g. Is x greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(4\/5)\/n)*n*n)\/(n*n**(-2\/19)*n)*n*n**4*n**5)**(-6) assuming n is positive.\nAnswer: n**(-6444\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2022 - 2018. Put -1\/4, v, -0.08, 0 in descending order.\nAnswer: v, 0, -0.08, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 364*v + 357*v = 690*v + 341 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**6\/80 - u**5\/10 + 5*u**4\/16 - u**3\/2 + u**2 + 18. Factor h(c).\nAnswer: 3*(c - 2)*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -58, 3005 in decreasing order.\nAnswer: 3005, 13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 542 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-10)*-5*4. Solve -u*j - 5*g = 0, 0 = 2*j - 0*g - 3*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 5*q - 13 + 6 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide (-2 + 4\/6)*(-1596)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -119*o + 118*o. Solve -4*q + 6 + o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 56010 - -1?\nAnswer: 56011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/((-60)\/16)*255\/(-680). Let h = -40\/51 + 2\/17. Which is the second smallest value?  (a) h  (b) -0.2  (c) r  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, -1, 2\/15, 0.762?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/285)\/(1008\/912).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -10, -3, -3390, 4 in ascending order.\nAnswer: -3390, -10, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, -9069, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**3 - 17*q - 11. Determine k(-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*x - 8*x, 4*x = 3*n - 58. Suppose 0 = 4*w - 9*w + 345. What is the remainder when w is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-99*s + 760*s + 1416*s)*(6 + 0 - 4)*(-2*s + 2*s - 2*s) in the form i*s + f + k*s**2 and give k.\nAnswer: -8308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220212200001 - 112?\nAnswer: -220212200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0*7\/21*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 70 = 82. Suppose 5*o + 834 = 2*q + 329, 0 = -l*q + 3*o + 744. Does 49 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**2 + v + 295. Is a(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1754814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2258750 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(2\/71)*t\/(t*t\/(t**(2\/43)*t)*t))**14)**(-1\/32))**(1\/67) assuming t is positive.\nAnswer: t**(-49\/409102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 136*h - 6*h**2 - 10*h - 2 + 2 - 129*h - 2*h**3 to o*h**2 + p*h**3 + v + f*h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-789)\/30 - ((-64)\/(-20) - 3) and -109\/438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 43*u**2 + u + 3. Calculate g(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/((w*w\/(w*w\/w**(-2\/3)))\/w))**7)**12 assuming w is positive.\nAnswer: w**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {t: 4, l: 2, p: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1689.4 and -0.2.\nAnswer: -337.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (5 + sqrt(6050) + -1)*-4 + sqrt(6050) + 1 + 1 + 1.\nAnswer: -165*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -1\/336*d**7 + 12*d - 1\/48*d**3 + 1\/8*d**2 + 1\/80*d**5 + 0 + 1\/120*d**6 - 1\/24*d**4. Find j, given that x(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*n + 33744 = 55*n + 11*n. Calculate the remainder when n is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42*(-3)\/(-9)*1 and 48\/42*623\/2.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 485 + -275. Calculate the greatest common divisor of x and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - 0. Let h = -5541.6 - -5542. Put v, 2, h, 0.2 in descending order.\nAnswer: 2, h, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011100001 (base 2) to base 9.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2380 and -847.\nAnswer: 2015860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + -1 + 5 - sqrt(3)))**2 - sqrt(3)*3*1 - (5 + sqrt(36)\/(sqrt(12)*6) + sqrt(3)).\nAnswer: -73*sqrt(3)\/6 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 2. Let x(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 5*f**2\/2 - 9*f - 5. What is the units digit of x(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1281876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*y + 41*y - 64*y + 1386 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-18)\/(-4) + -2)*(-14 - -12). List the prime factors of (3*1)\/(j\/(-6900)*10).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -8*f - 125. Let p(l) = l**3 + 9*l**2 - 92*l - 45. Let m be p(-15). Calculate s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*x = 6*x + 21*x - 414 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {t: 3, e: 2, m: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*k**3 - 29*k**3 + 12*k**3 + 0*k**3 + 0*k**3 - k**3 + (-3*k - 5*k + 6*k)*(0*k**2 - k**2 - k**2) to g*k + h*k**3 + v*k**2 + u and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 2795  (b) 4  (c) 10  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22827 is divided by 761?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmlm when four letters picked without replacement from {l: 2, m: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -244 and -0.4?\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1)**(-22)\/(h*(h*h*h**(-1)*h*h)\/h)**42 assuming h is positive.\nAnswer: h**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 3:20 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/6*258\/(-43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4820640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1889 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 5*j - 20, -2*w + 15 = -3*j + 4*j. Suppose -o = o + 2*o. Let s = o + j. Solve -19 = 3*u + 2*f, -s*f - 28 = -0*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 - 1)*(0*i + i + 0*i + (3 - 2 - 2)*(5*i - 3*i + 0*i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -542287 - -3.4.\nAnswer: -542283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1129 + 1150. Which is the second smallest value?  (a) 3  (b) r  (c) 0.1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 666 or -32.69?\nAnswer: 666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k\/(k\/k**4)*k)\/k*k*(k*k**(-1\/21))\/k*k)**(-5\/8) assuming k is positive.\nAnswer: k**(-365\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = b + 40, -36*w + 30 + 66 = -2*b - 6*b - 20*w for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 - 330*i**2 + 297*i + 10527. Determine r(329).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 20*c**2 - 2*c + 295. What is h(-19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 318\/107, -5, -1\/4, 7\/3, 0.2 in increasing order.\nAnswer: -5, -1\/4, 0.2, 7\/3, 318\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of g**5\/60 + g**3\/6 - g**2. Let d be f(2). What is the smallest common multiple of 28\/d - 2\/(-5) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323*p + 334*p = -66. Let s(f) be the third derivative of f**6\/120 - f**5\/60 + 2*f**2. Let b(n) = -5*n**3 + 6*n**2 + n - 2. Give p*s(i) - b(i).\nAnswer: -i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4203*v**2\/4 - 10175*v\/4 - 121\/2 = 0. What is v?\nAnswer: -11\/467, 22\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-21)\/(-7) - 24*4\/(-4). Solve -3 = 6*t + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11 + 34*v**2 - 48*v - 16 + 48*v wrt v?\nAnswer: 68*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(70)*-2)\/(sqrt(160)*2 + sqrt(10)).\nAnswer: 10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 17 - 12 = 3*z, 4*k - 33 = -z. Suppose -20 = -2*d + 8*w - 4*w, 2*d = 5*w + 23. Solve -k = -0*o - d*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 10}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 11:23 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b*p**3*z**3 + 9*b*p**3*z - 2*b*p**2*z**3 - 15*b - 175*p**3*z**3 + 2*p*z**3 wrt p.\nAnswer: -6*b*z**3 + 54*b*z - 1050*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of 11123*w**5\/60 - 647*w**4\/2 + 4*w**2 + 284. What is the second derivative of b(m) wrt m?\nAnswer: 22246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -6*c**5 + 255*c**4 - 2232*c**3 + 7185*c**2 - 8826*c + 2880 = 0.\nAnswer: 1\/2, 2, 3, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(3 - 2 - -2). What is the highest common divisor of 12 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3975.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -43*o - 1. Let d = -3 - -1. What is the tens digit of v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + 5*z**2 - 16*z - 463. Is y(41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 20*p - 23*p + 177 = 0, -4*k = p + 389. Let q be k\/720 + ((-368)\/(-930))\/2. What is the second smallest value in -0.1, q, -1\/3, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 18*a - 1. Let x be ((-2)\/6)\/(5 + (-140)\/30). What is t(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of j**4\/4 + j**2\/2 + 6*j + 337. Give a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3441 = -p. Let m = p - -687. Let a = 1347 + m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**4\/6 + m**3\/6 + 7*m**2\/6 - m\/6 - 1 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2399 divided by 4310.\nAnswer: 2399\/4310","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -67, 262, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 239124724.999806 - 239124495. Let d = -102 - -332. Let g = d - k. What is g rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence edr when three letters picked without replacement from {e: 1, a: 2, u: 1, y: 2, r: 1, d: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2503 = 2573*n - 2206*n + 11810 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 816 = -6*d. Let a(g) = 4*g**2 + 26*g - 106. Let y be a(-10). Calculate the greatest common factor of d and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/6 + 249\/(-45) + (48\/(-20))\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/4))**(-17)*(i*i\/(i**(4\/7)\/i)*i)**(6\/13) assuming i is positive.\nAnswer: i**(5217\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -21*t - 19. Let x(k) = -9*k - 9. Let s(a) = 4*d(a) - 9*x(a). Let p(w) = 2*w - 4. Let u(g) = 5*p(g) + 4*s(g). Let o(j) = 39*j. Determine o(u(m)).\nAnswer: -78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 372241 (base 14) to base 11\nAnswer: 107a7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/(-4800)*-96*10\/(-132).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i + 20. Let j be r(17). Let k(t) be the first derivative of 0*t**2 + 4\/3*t**j - 3\/4*t**4 - 2 + 0*t. Find the third derivative of k(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6410 and 2022681910.\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 257.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 58, 3, -4, -31, 15 in decreasing order.\nAnswer: 58, 15, 3, 0, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 11*u. Let k(f) = 33*f**2. What is k(r(l))?\nAnswer: 3993*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*q = -5. Suppose 2*b = 10 - 19 + 17. Let t be (-32)\/6 + 2\/(-3). Sort t, b, -3, q.\nAnswer: t, q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*i**2)*(-55 + 62 + 105) to s*i**2 + v + t*i and give s.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 1532.62.\nAnswer: 6130.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -226 - -2032\/9. Let v = -1 - -1.4. Let y = -0.9 + v. Put u, -3, y in descending order.\nAnswer: u, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 412376474*b**2 - 288522806*b.\nAnswer: 824752948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flbcrfa. What is prob of picking 1 r and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 5*a + 7. Let x be c(7). Let d(k) = k + 10. Let v be d(x). Is 20 a factor of 20\/v*(2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 141 - 114. Let k = c - 23. What is the nearest to 0.3 in 5, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 29*b - 97. Let t be g(-25). Let v = 81 - 5. Suppose -t*p = -5*p + v. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((13\/(-52))\/((-6)\/(-16)))\/(62\/1581).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + a + 14. Let y be 26\/6 - (-2)\/(-6). Suppose m + 4 = 4*p, m - y*p = 5*m - 4. What is the smallest common multiple of h(m) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1008))\/sqrt(9) + 2.\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 * -0.0958.\nAnswer: -0.001916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17111, -34218, -51325, -68432?\nAnswer: -85539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 85374, 85126, 84880, 84636, 84394, 84154, 83916?\n\"Answer: y**2 - 251*y + 85624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (-3)\/(1\/(-1)). Let s(w) be the first derivative of -4*w - 5*w**3 - j + 9\/8*w**4 + 7*w**2. Factor s(i).\nAnswer: (i - 2)*(3*i - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26) - (sqrt(1664)*1 - sqrt(1664))) + (-2*sqrt(3146) - sqrt(26)))\/((sqrt(10)\/sqrt(5)*-5 - sqrt(2)) + 6*(sqrt(2) + 3*sqrt(2))).\nAnswer: -11*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ozzzozzzszoowzz. Give prob of sequence zowo.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 6:28 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 0)\/(5\/35). What is the highest common divisor of 56 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 51 by -267.\nAnswer: -17\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*((sqrt(1700) - (sqrt(1700) + sqrt(1700)*-2 + -3)) + -1)**2 + -5.\nAnswer: 80*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -1863041  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*h = 14, 0 = -4*j - 3*h + 18 + 4. Suppose -3*x = -2*c - 8, -j*x - 2*c + 5*c + 9 = 0. Solve 2*p + x = -0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -251 + -438?\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -190177 * 3\nAnswer: -570531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.51 - 994503714865.\nAnswer: -994503714864.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 25\/3. Suppose 1 = -5*s + 6. Suppose -5*i - 3*b = -17, -4 = i - b - s. Are m and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 + 185 - x**2 - 516 + 137 + 194.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnlgggllnnn. What is prob of sequence lngl?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*v + 5*v - 2*v**2 + (-4*v**2 + 0*v**2 + 6*v**2)*(3 - 3 - 2) + 2*v**2 - v**2 + v**2 - 90*v**2 + 150*v**2 - 85*v**2 + (-3*v - v + 3*v)*(0*v + 0*v - 2*v).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35805*n**3 - 16990*n**2.\nAnswer: 214830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4108 - 4106. What is the closest to 4 in g, 3\/13, -2\/19, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329 is divided by 140.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 8 = -2*v, -3 = -3*d + 4*v - v. Let z(f) = -f + 1. Let q be z(d). Solve 4*t - 10 = 3*l, 2*t - 5*l - q = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 + t**3 - 2*t**5 - 13 + 5 + t + 2*t**5 - t + (-4*t**2 + 4*t**2 - 3*t**3)*(-t**2 + t - t).\nAnswer: 3*t**5 + t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(30)\/sqrt(2) - sqrt(15)))\/(sqrt(40)\/sqrt(2)) - (2 + sqrt(300)*-1)*-2)**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5*p**3 - p**2 - 3*p + 1. What is the units digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (76*c**4 - 5*c**3 - 7*c**3 - 9856*c**2 + 9854*c**2)*(-2 + c + 2).\nAnswer: 76*c**5 - 12*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-4 - -1 - -3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6545.033cm?\nAnswer: 65450330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40.4 - -40. Let k = 1.132 + -0.625. Let x = -0.007 + k. Which is the fourth smallest value?  (a) -3  (b) -0.1  (c) r  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 66 + -3. Let v = j + -43. Let f = -11 + v. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.59 take away -111177.5?\nAnswer: 111232.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -129812581 or -129812583?\nAnswer: -129812583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-112) + 0)*379712\/(-498372).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -39, -66, -91, -114, -135?\n\"Answer: j**2 - 30*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (14\/(-2928))\/(2\/(-1063)). Let h = m - 19\/183. What is the common denominator of h and 6\/(-15) + (-331)\/(-290)?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.301 - -23.301. Is 7 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 319*u**2 - 1 + u + 322*u**2 as k + y*u**2 + h*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 50*t + 66*t = 119*t - 47, -5*t = -4*c - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*h + 22, -5*r - 4*h = -0*h - 158. Let y = r + 21. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 229, 254, 279, 304?\n\"Answer: 25*o + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0.08. Let z = -0.06 + l. Let w = 0.5508 - 1.5508. Which is the closest to w?  (a) 3  (b) 0.3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1, 2, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*j = 51 + 37. What is the highest common factor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6 + -3*292\/(-96) + -3. What is the closest to -0.1 in -2, 20, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -12. Suppose 12*o = 17*o. Suppose 2*j - 5*y + 15 = 7*j, o = j - 4*y + z. Solve -j - 7 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -547, -549, -551?\n\"Answer: -2*o - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 236763269 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 63*n + 1. Let v(z) = -3*z**2 - 128*z. Let g(r) = 2*u(r) - v(r). Let l(q) = 5*q**2 + 9*q + 8. Calculate -18*g(o) + 4*l(o).\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -4552?\nAnswer: -4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10192 - 3861. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*f + 37337, 2*f + 8616 = -9*g + 33482. List the prime factors of f.\nAnswer: 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*a = 190*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4999110 by -14082.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -818 minus -59.12811543?\nAnswer: -758.87188457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-15) - 0)*5. Let u be (-1385)\/3400 - b\/10. Let q = u + -261\/1496. What is the biggest value in q, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.5 plus 180718?\nAnswer: 180721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*i - 5*a + 2*a, -3*i = -3*a - 6. Solve -i*z = z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -7, -2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 + 40. Suppose -31 = -2*i + g. Is i + (1 - 1) - 1 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3 - 19*g**2 + 63*g - 45.\nAnswer: (g - 15)*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 6 = -w + 3*p, 3*w - 4*p + 10 = 0. Suppose 99 = -g + 102. Find the second derivative of -g*q**2 - 11*q + 43*q**3 - 40*q**3 + 3*q**w wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 193724417.\nAnswer: 43, 727, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 10*f**2 - 12*f + 6. Let n be o(11). Which is the second smallest value?  (a) -1\/2  (b) 1\/7  (c) 3  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + 4*z - 4*z + (0*z - z + 0*z)*(1 + 1 + 1) + 2*z - z + z + 2*z - z + 2*z + (-9 - 1 - 12)*(z - 3*z + 0*z) + z + 4 - 4.\nAnswer: 45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 6 = -2*y. Suppose 0 = -y*a + 5*p, -4*a + p = -0*a. Suppose -4*l - 31 + 91 = a. Calculate the remainder when 28 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 4*r + 3. Let p be a(7). Let q = -17 + p. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -3. Let j = 3139 - 3137. Sort j, 0.3, q in ascending order.\nAnswer: 0.3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 5*f**2. Let o(u) be the second derivative of -u**6\/360 + u**4 - u**3\/2 + 2*u - 18. Let x(q) be the third derivative of o(q). Calculate l(x(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -959040 divided by -191808\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 113895.3539 rounded to the nearest ten?\nAnswer: 113900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1059?  (a) -2  (b) -0.5  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 125400052 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 117.4 + -151. Let l = s + 1.6. Let v = l + 32.000144. What is v rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 674*t - 880*t + 3196*t - 53820 = 0 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -13. Let v = 3 + -13. Let o = s + v. Solve u = o*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 496 - 493. Solve -5*n - y = -0*n - 5, k*n = -3*y + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010000010 + 10111?\nAnswer: -100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 53. What is o(47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 78 = 57 + 37, 5*p + 3 = -3*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2107738247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-62 + 71 - (15 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, y: 1, v: 3, a: 1, o: 1, t: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -5*w - 0*d - 5*d, 4*d = 5*w - 101. Let n = 51 - 17. Calculate the greatest common divisor of w and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -6*c**2 - 2*c - 1. Calculate r(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5716 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 2\/125 of a meter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1068\/(67996\/191))\/((-6)\/110).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1999*f + 192*f - 212 + 1361 + 1309 + 369 wrt f?\nAnswer: 2191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24*162\/(-6048)*104\/(-12).\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 20 + (2 - 7) + -112 + (1 - 5) + 4\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -78*q - 16. Let g(c) = -59*c - 16. Determine 5*d(a) - 6*g(a).\nAnswer: -36*a + 16","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 89008967.999873 - 89008886. Let q = 2093 - 2011. Let o = q - s. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 112062190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 7:16 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 100 + -30?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/450)\/((104\/41340)\/((-8)\/10))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (2 + (1 + -5 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2690861, -5381718, -8072575?\nAnswer: -10763432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -78612 - -5?\nAnswer: -78606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5083?\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3550 - 1696. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 2:04 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -391405, -390772, -390137, -389500, -388861, -388220, -387577?\n\"Answer: w**2 + 630*w - 392036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.23 + -8.9. Let h = 282.67 + z. Let w = -306.1 + h. What is w rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/26)\/(26*(-47)\/20774).\nAnswer: 34\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -1\/6*w**3 + 2*w**2 + 4*w + 0. Let k be l(7). Which is the second smallest value?  (a) -4  (b) k  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*l + 4*x - 128 = 0, -8 = -30*l + 28*l - 5*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 273 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1661*m**3 - 432*m**2 wrt m.\nAnswer: 9966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*g, 13*m + 4*g - 384 = 9*m. Which is the second biggest value?  (a) m  (b) -1  (c) 0  (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -4  (c) 5  (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1712026 less than or equal to -1712021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + -13. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -50\/27 or 1305?\nAnswer: -50\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (11\/3)\/((-6)\/(-18)). Let h = 16 - r. Suppose 2*c - u = -5*u - 16600004, 0 = -h*c - 2*u - 41500002. Round c to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -4. Let m be (6\/g)\/(12\/16). Suppose -m*v + 7 = -57. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 6:58 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a31a + -1?\nAnswer: -1a31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 231 divide 172788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10920317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i = 6*i + 7668. Suppose -2*u + i = 7*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 11*x + 2. Let h be p(-11). Let d be -5*2*h\/(-4). Calculate the highest common factor of 15 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -611*y + 850. List the prime factors of t(-9).\nAnswer: 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 8*w = 0. Solve -5*y + 10 = -r, w*y - 3 = -y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -42*g + 13. Let f(r) = -42*r + 11. What is 6*a(n) - 7*f(n)?\nAnswer: 42*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11 + (-1 - 5) + 2*3. What is the highest common factor of n and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 8*z + 3. Let a(d) = 32*d - 20. Let h(m) = a(m) - 5*v(m). Determine h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 545 + -543. Solve 2*f + 4 + 0 = 4*s, 0 = x*s - 5*f + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 5:43 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -814676 - -5254678. Let l be m\/(-6) - 1\/(-3). What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.98875 litres in millilitres?\nAnswer: 54988.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6339.924 millimeters in micrometers?\nAnswer: 6339924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 33*v**2 + v - 5. Let d be x(4). Suppose -5*b + d = h, b + 5*h = -0*b + 91. What is b rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 2, z: 1, r: 2, l: 4, e: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2. Let b(h) be the third derivative of 5*h**5\/3 + 7*h**3\/6 + 10*h**2. Let v(c) = 33*c**2 + 2. Let f(g) = 2*b(g) - 7*v(g). Calculate y(f(l)).\nAnswer: 1922*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 4*n + 40, 0 = 5*o - 4*n - 14 + 82. Let s be (-3)\/(-2)*o\/18. What are the prime factors of (s - -2) + -3 - -36?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -30\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 108 and 63108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-21)\/(n**(-17)*n)*((n*n**5)\/n)\/n*n\/n**(-2\/11))**17 assuming n is positive.\nAnswer: n**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/20)\/(-7 - -10). Let r(z) = -z**2 + 2*z + 1. Let v be r(2). Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6105, -12209, -18313, -24417, -30521, -36625?\n\"Answer: -6104*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*5\/40*-6*15\/360.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-28*q - 34*q + 41*q)*(2 + 0 - 1)*(-4*q**2 - 2*q**2 + 13*q**2) + 2*q**3 - 2*q**3 + q**3 to the form u*q + k*q**2 + o*q**3 + i and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3997264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-9))\/(1\/5). Let v be 15*(-2)\/(-1 + -5). Let x(f) = f**2 + 4*f. Let a be x(-4). What is the second smallest value in v, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -144 - -147. Find the second derivative of -2*t**4 - t**3 - 7 - 22*t**c - 13*t**3 + 15 - t wrt t.\nAnswer: -24*t**2 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (61*u - 811 - 67*u + 7*u)*(4 - 6*u - 4) in the form o + r*u**2 + m*u and give m.\nAnswer: 4866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 3*b = -0*b. Solve 0*z - 4*z = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-4)*-2*(-36 - -30 - -10). Solve -i*w = -5*o - 17, -20*o + w = -19*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -260023042?\nAnswer: -260023045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 934653.9 minutes in hours?\nAnswer: 15577.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u. Let j(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + 3*i**2\/2 + 2*i. Let t be j(-9). Determine x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 + -22.3767856.\nAnswer: 42.6232144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10 + 72\/(3 - 11). Sort 16, -5, j in decreasing order.\nAnswer: 16, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/28)\/(9*(85\/120)\/(-17))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10220021 - -201011?\nAnswer: -10012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.23?  (a) -0.5  (b) -1  (c) -2  (d) -3  (e) 16\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -440?  (a) 0.4  (b) -431  (c) 0  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, z: 2, j: 2, i: 1, e: 1}. What is prob of sequence jzr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 - 434401103?\nAnswer: -434401040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (44 - 6 - 55) + 5\/(15\/(-6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -265\/553 + 4\/79. Suppose -g = -2*g - 2. Which is the nearest to -0.1?  (a) g  (b) 0.5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*a**2 - 2*a**2 - 15*a**2)*(a + 2*a - 2*a)*(-77 + 23*a + 77).\nAnswer: -1449*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 8 + 8)*((-x + x + 2*x)*(5 - 3 - 4) + 3*x + 0*x - x - 3*x + 2 - 2 + 1 + 3 - 2 + x) to the form s + p*x and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2. Let q = 80 + -76. Let w(c) be the third derivative of 0*c**3 + 0 + 0*c - q*c**2 + 1\/60*c**5 + 0*c**4. Determine w(u(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**2\/2 - 1. Let q(y) = y + 4. Let o(g) = 4*g + 8 + 2 + 1. Let r(l) = -4*o(l) + 11*q(l). Determine n(r(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/4 - 25555714*g - 653094518049796.\nAnswer: -(g + 51111428)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 7*n + 34. Let f be s(-5). Is -15 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + 9 - (-1 + 1). Let f(l) = -2*l**2 + 3*l + 3. Let h(u) = -4*u**2 + 5*u + 5. Let a(m) = r*f(m) - 3*h(m). Let s(n) = -5*n**2. Calculate a(s(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2218*f + 6623. Calculate z(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(3)))\/(6*sqrt(200)).\nAnswer: -sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2 = -18. Let y(b) = 3*b + 16. Let p be y(k). Solve -p*g + 2 = -5*g - t, 0 = -5*g + 4*t + 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-36)\/15 - -4)\/((-10)\/25). Let n be (c\/14 + (-6)\/28)*-4. Which is smaller: 8\/5 or n?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/2954413 - -9968174360\/22308772563. Let d = -2\/839 + s. What is p in 2\/9 + 2\/9*p**4 - d*p**2 + 0*p**3 + 0*p = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280770 divided by 18?\nAnswer: 46795\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.242416l in millilitres?\nAnswer: 3242.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of 799*a**5\/30 - a**4\/8 + 45*a**3 + 1369*a**2 - 1. What is the second derivative of r(m) wrt m?\nAnswer: 3196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 311*c**2 - 49*c + 98. List the prime factors of o(2).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l - 19*l + 1553 = 2*x, 0 = -4*x + l + 3091. Calculate the highest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1262234 and 4570.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -78, -4 in ascending order.\nAnswer: -78, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 672 by 4.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144350 by -14435.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*p = 0, 4*p = 5*k + p + 10. Let q be (150\/k)\/(6\/(-128)). What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -15*((-2280)\/(-50))\/(-12). Calculate the highest common factor of y and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.947908 centuries in decades?\nAnswer: 99.47908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6 + -2*(-4)\/48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221130 + 0?\nAnswer: 221130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 413 less than 1442?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i**2 - 165*i - 2105. Give u(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 6*s**3 + s**2 - s - 1. Let p be j(-1). Let d(t) = -22*t**3 + 16*t. Let v = 1132 + -1116. Let z(g) = -7*g**3 + 5*g. Determine p*d(i) + v*z(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 5*u. Let x(h) = -3*h - 46. Let w be x(-14). Let n(c) = 184*c + 18. Let r(p) = 92*p + 8. Let b(l) = w*n(l) + 9*r(l). What is z(b(t))?\nAnswer: 460*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.013687934 to five dps.\nAnswer: -0.01369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -452 - -451.012. Round y to two dps.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-15) - 10\/(-25). Solve 2*f - 15 = -5*s, -f + 8 = 3*s - m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 - 45 + 105 - 142*k + 420*k.\nAnswer: 278*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7485350*y**4 + 54*y - 6730.\nAnswer: -89824200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -870 - -3481\/4. Let l(b) be the first derivative of -b - 1 - b**3 - i*b**4 - 3\/2*b**2. Factor l(c).\nAnswer: -(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8253232 is divided by 1142?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (33\/110)\/(12\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4646 and 13692974?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:48 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 242\/(-20) - 20\/50. Let s = r + 13. Is 0 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3653881780?\nAnswer: 2, 5, 182694089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e7 + a3f?\nAnswer: b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 167\/6 - 6\/(-36). Suppose h - a = -8. Let q = h + -20. Solve 3*g + g + 2*r - 22 = q, -4*g = -r - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/290, -3\/7, 0.4, -1\/3, 7 in increasing order.\nAnswer: -3\/7, -1\/3, -1\/290, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41238*p**6 + 170*p**2 - 64*p wrt p.\nAnswer: -4948560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z = 411 - 450 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 60 = -3*m. Let i(s) = -2*s - 2. Let k(x) = -5*x - 5. Let o(h) = 7*i(h) - 3*k(h). Calculate the remainder when m is divided by o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f*f**22*f\/(f\/f**5) assuming f is positive.\nAnswer: f**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2 + 9 - 9. Let a(t) be the third derivative of -7*t**4\/8 + 5*t**2 - t + 639. What is a(v(c))?\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -355240?\nAnswer: 355242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-525)\/(-4))\/5)\/(15\/(-80))*172\/(-430)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**3 + 75*b**2 + 135*b - 1411. Give t(-35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 16 = 2*g, 0 = -62*g + 64*g - 4. What is the greatest common divisor of q and 1748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 67\/5 of a kilometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3171 divided by -7\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45783\/42392 - 20\/757. Let m = 5\/8 - p. What is the nearest to 0.1 in 1, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 12*s**2 - 29*s + 12. Let u be n(9). Let h be 3\/u*-4*1. Solve -3*p + h*a = -9, -4*p + 7 + 7 = -2*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-64602)\/(-20))\/9 + 4. Let y = 353 - t. Find the common denominator of (4\/(-10))\/((-36)\/(-1905)) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 + 1196*v - 98048. Determine z(-671).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*o*p**3*t**2 + 742*o*p*t - 27*o*t**2 + 2758*p**3*t**2 + 2*p**2 - 2*t**2 wrt p?\nAnswer: 12*o*p*t**2 + 16548*p*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98 and 1708?\nAnswer: 11956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4203400 (base 5) to base 3.\nAnswer: 10111221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -747\/2 - -381. Suppose 1 = -s - 5. Let n = y + s. Are 2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.194784 + -8985.\nAnswer: -8969.805216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 6*d + 15. Let t be s(-7). Calculate the common denominator of ((-189)\/(-324))\/(18\/t) and -110*2\/(-108) + -1.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**3\/2 - 11*g**2\/2 - 26*g + 70 = 0.\nAnswer: -5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3164597 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108362 is divided by 168.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 + 2*y**3 - 2*y**3 - 5*y**5 + y**5 + 2*y**5 + (-y**4 - 2*y**4 + 2*y**4)*(-3*y - y + 5*y) + 2*y**3 + 2*y**5 + 2*y**5 - 3*y**5.\nAnswer: -4*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 165166 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 650 - 641. Factor 17*a - 6*a - l*a + 2*a**2.\nAnswer: 2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 a factor of 3002230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 30531286 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(114)\/sqrt(6) + 2.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2092326 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8*(-2 + 15\/6). Suppose 5*n = 2*u - 36, j*u - 38 = -2*n + 34. What is the smallest common multiple of 22 and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 60 - 42 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - 222275209717.\nAnswer: -222275209717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-60))\/(3\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-38 + (14 - 4 - 7)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 307705\/(-570)*(-2 - 8\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 2.963. Let f = m + 27.037. Let n = -27.19 + f. Round n to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 6*g + 4*g + 20 = 0, 39*j - 2 - 71 = 3*g - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 596*v**2 + 44 - 29 as n*v**2 + b + c*v and give n.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36.4 + 55.7. Let q = -19 + x. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 5:12 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1704*a**2 - 19565*a - 75. Let p(b) = -853*b**2 + 9782*b + 45. Let y(v) = 3*g(v) + 5*p(v). What is the second derivative of y(i) wrt i?\nAnswer: 1694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 8*h + 6 = 0, -6*x + 5*x + h = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.132733l?\nAnswer: 8132.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r\/(r**(-1\/5)*r))\/r)\/(r*r**5))\/(r**(1\/10)*r**(-1\/2)) assuming r is positive.\nAnswer: r**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55248190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 14, a: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 2557\nAnswer: -2\/2557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-1 - (4 - 10)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, b: 3, c: 1, o: 1, z: 1, e: 2}. What is prob of sequence cz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18938 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**3 - 11*i**2 + 2*i + 19. Let z(p) = 12*p - 79. Let j be z(7). Let r be q(j). What is the greatest common factor of 188 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, p: 4, j: 7, y: 2, c: 3}. Give prob of sequence cy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109748 is divided by 108156?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 144*m - 2592.\nAnswer: -2*(m - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 351 + -242. Suppose 101 = g - q. Suppose 0 = -15*n + 1425 - g. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, 4, -1077\/7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 5*l = -10, 2*a + 5*l - 5 + 1 = 0. What is the third derivative of 203*p**2 - 69*p**3 + 102*p + p**5 - 397*p**a + 193*p**2 wrt p?\nAnswer: 60*p**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 18*b**3 + b - b**2 + 2*b**2 + 11*b**3. Let r be (4 - -1) + (-1044)\/204 + (10125\/459)\/(-25). Give q(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1179 + -1179.2. Let n be (3 + -2)*-2 - (-170)\/60. Let f = 1\/2 - n. Which is the nearest to j?  (a) f  (b) 3\/2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -354582, -709108, -1063512, -1417734, -1771714, -2125392, -2478708, -2831602?\nAnswer: -3184014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -131021322 (base 4) in base 16?\nAnswer: -1d27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*((-150)\/(-4) - -2). Suppose -d = -13 - 12. Suppose 4*w + d = p. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 776 + -784. Which is bigger: -0.29 or v?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (186\/(-62))\/(6\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -220*v - 446. What is the hundreds digit of b(-62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) -2\/13  (c) 2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 11. Let f = -9 - -53. Suppose f = -7*s + 16. Let m(k) = k**2 - 4. Calculate s*z(j) - 11*m(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/4)\/p)\/p)\/(p*p**(2\/15)\/p))\/((p*((p**(-3\/11)*p)\/p)\/p)\/(p*p*p*p**3\/p*p)) assuming p is positive.\nAnswer: p**(3557\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 75 = -27. Suppose -3*q + 0*o + 211 = -5*o, 0 = 2*q + s*o - 147. Is q greater than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -11*p**3 - 2*p**2 + 2*p - 4. Let a(s) = 12*s**3 + 2*s**2 - 2*s + 5. Give 4*a(c) + 5*u(c).\nAnswer: -7*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + -4242?\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(325) - 6*(sqrt(325) - (0 + sqrt(325)) - sqrt(325))))**2 + ((sqrt(325) + 0 + -4)*5)**2.\nAnswer: -1000*sqrt(13) + 263325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*s + 4116904 = 128*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 26137591, 26137594, 26137597?\n\"Answer: 3*f + 26137588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -22\/34913?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2 - 1)*(3 + 2 - 4)*(-5 + 0 + 0)*(-7 + 7 + 5*i)*(6 - 7 - 3).\nAnswer: -800*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-2 - 0) + -1 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4 + 1\/2*b + 1\/4*b**2.\nAnswer: (b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 29999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*i + 112 = -28*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9401419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**3 + 2*w**3 - 2*w**3 + (0 + 3*w + 0)*(2*w**2 + 4 - 4) - 4*w**3 + 0*w**3 + 17*w**3 to the form g + o*w**3 + x*w**2 + m*w and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.85 - -0.15. Let w = 11.2 - d. Which is the nearest to 1?  (a) 4  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -829 < -829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 2*v**2 + 19*v - 43. What is d(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 2. Let p = -50 - -62.8. Let d = p - 11.8. Is d >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12d785 (base 14) in base 13?\nAnswer: -19a8ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 923410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7994 in 3, -0.4, -4, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-567)\/(-35) - -3)\/(-3 - 684\/(-120)) + -6?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -42. Suppose -5*x = -k - 15, 5*x - 4 - i = -k. Suppose -6*j = -106 - 134. Calculate the least common multiple of x and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154465 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 3:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-9))**(-2\/129)*z**4*z*((z**(-11\/2)*z)\/z)\/z)**41 assuming z is positive.\nAnswer: z**(-4797\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -18*v + 17*v. Let o be -3 + (-85)\/(-25) - v\/(-30). Factor 2\/3 + 4\/3*u**2 + o*u**3 + 5\/3*u.\nAnswer: (u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1413 - 1413.00000125. Round h to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.334 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -411.7 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 326 a factor of 155693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 + 26*s**2 + 14*s + 186. Let r be h(-13). Which is the nearest to -0.1?  (a) r  (b) 3\/4  (c) -2\/1897  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3894 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 + 41 + 688*y - 301*y - 335*y.\nAnswer: 52*y + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of 0*r**4 + 0*r**3 + 0*r**5 - 2\/105*r**7 - 4*r**2 + 0*r + 1\/15*r**6 + 0. Factor p(o).\nAnswer: -4*o**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -23*l - 110. Let p be w(-9). Suppose r - 3*t = 100, -24 = r - t - 120. Let x = p - r. Solve -5*i + 9 = x*o, -i - 2*o + 2 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1250780*n + 215666 wrt n?\nAnswer: 1250780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16023 rounded to three dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 364*f - 360*f + 74 = 0, 4*t - 40 = 3*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 69, 106, 141, 174, 205, 234, 261?\n\"Answer: -r**2 + 40*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15523*g**5 - 10*g**2 - 39*g + 3?\nAnswer: -931380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -104a3 (base 14) to base 13.\nAnswer: -14ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -32*w + 1\/20*w**5 + 0 - 9\/2*w**2 - 2\/3*w**4 - 7\/6*w**3. Give k(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216435282?\nAnswer: 2, 3, 7, 47, 83, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**5 + 260*f**4 - 7949*f**3 - 25682*f**2 - 17472*f = 0.\nAnswer: -2, -1, 0, 39, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80 - 53. Let s(v) = -v**2 + 11*v - 10. Let o = 16 + -9. Let u be s(o). Calculate the highest common factor of u and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/11  (b) 1  (c) 4  (d) 2\/3  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.3 - -16. Let o = -2920\/7 - -417. Which is the second biggest value?  (a) z  (b) -0.2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 774*v**3 - 279*v**3 + 239*v**3 - 2*v.\nAnswer: 734*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 2*s + 4, 4*x = -3*s + 26. Suppose 10 = 2*k + 3*k. Suppose 0 = 4*n - o, -o + k + 1 = -n. Calculate the least common multiple of x and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.763893 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -322 = 5*u - 4*k + 28, -4*k = -2*u - 152. Let a = 79 + u. Suppose 4*s - 5 = b - a, 2*b + 17 = -3*s. Sort 3\/7, 2, b, -3\/14 in decreasing order.\nAnswer: 2, 3\/7, -3\/14, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 904283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 839.7226 days?\nAnswer: 72552032640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*323*(-30)\/(-95)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*a - 89*a = 105*a - 1160 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 + (47 - -36) + -67?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4210)\/(-31996)*2\/(-4)*108\/(-9)?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/44*3\/6*(-28)\/(-21).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**7\/2520 + m**4\/4 - 4*m. Let o(f) be the third derivative of t(f). Let s(y) = 4*y. What is s(o(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 6:20 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.49, 12699, 0.2?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -439964043.1 + -1.60384?\nAnswer: -439964044.70384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 5)*(-10 + 29 + 23)*(-70*j + 0*j**2 + 72*j + 2*j**2 + 5).\nAnswer: -84*j**2 - 84*j - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 375 and 2175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 7:57 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89730320?\nAnswer: 2, 5, 1121629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32091 + 26049 = 6*f. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 - -717\/8. Let z = 25 + -22. Let k be 0\/z + -1 + 1. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*z - 70 + 70)*((-2*z**2 - 3*z**2 + 4*z**2)*(-2*z + 2 - 2) + 10*z - 10*z - 4*z**3).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -20*b**2 - 26*b + 23. Let w(y) = 7*y**2 + 9*y - 8. Let i = 57 + -5. Suppose 25 - i = -h. Let d be (h\/(-21) - -3)\/(8\/28). What is d*j(r) + 17*w(r)?\nAnswer: -r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) + -2 - sqrt(425)*6.\nAnswer: -28*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/11, -5, 9\/4, -4 in decreasing order.\nAnswer: 9\/4, 1\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 5*u = 5*o + 28, 3*u - 17 = -5*o. Solve -4*h + 4 = b + 15, b = h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -3. Let q be g - (-1 + (0 - 2)). Suppose -q*h - 2*r = -14, -r = -4*h - 0*h + 4. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -279*f + 308*f - 1740 = 0 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 7:48 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 131?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6*2\/9*(-36)\/12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j + 2. Let l(y) = -y + 1. Let m(d) = -2*l(d) + x(d). Let q(c) = -12*c - 9*c + 20*c. What is m(q(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*c - 77. Let k = -24 - -12. List the prime factors of 28 - 4\/(c\/k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/4  (b) 1  (c) 19842\/31  (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**5 - 148*o**4 + 4608*o**3 + 170496*o**2 - 1327104*o - 49102848 = 0. Calculate o.\nAnswer: -37, -24, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 5)*(-4 + 4 + 6*s) + 22 + 10*s - 22 + (0 - 3 + 1)*(-s + s - 2*s) + 1 + s - 1.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136569 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/1161484 and 39\/700.\nAnswer: 203259700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + 1*sqrt(175) + 5 - sqrt(175) - -4*(sqrt(175) - sqrt(175)*-2))**2.\nAnswer: 650*sqrt(7) + 29600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4384 divided by 4?\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 460186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55531 - 20489. List the prime factors of q.\nAnswer: 2, 7, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 14*q**2 - 82*q - 3045. What is the hundreds digit of a(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*t - 32 = 0. Suppose -20 = -d - t. Suppose -182 = -d*i + 538. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.05435 minutes to nanoseconds.\nAnswer: 243261000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6612 <= 5945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 537503833 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 - 252*g + 14992. What is i(156)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 4 + 4 - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1071 (base 9) to base 7\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 31. Suppose t + 0 = n*s + 4, -4*s = -4. What is the tens digit of 47 - (t\/3 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1191073 is divided by 382?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1233 (base 15) in base 14?\nAnswer: -15a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 3 + 5*m**2 + 2*m**2 + m - 2*m - 7*m**3. Let c(y) = -6*y**2 - 4*y**2 + 263*y**3 - 264*y**3 + 11*y**2. Let p(i) = -6*c(i) + g(i). Give p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/9))**36 assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2543097.\nAnswer: 3, 29, 29231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*x = 62*x + 49*x - 2800 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 8*l**3 + 4*l**2 - 13*l + 19. Is q(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - a + 18 = -19, 26 = 4*f - a. Suppose 4*n = 5*y + 1 + f, -2*y - 2 = -n. What is the units digit of 1020\/18 + n\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 1 = -8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 7 - 1 = 0. What is the first derivative of -f**3 - b - 6*f**3 + 8 wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -10*q**3 - 40*q. Let n(x) be the third derivative of x**4\/24 + 15*x**2 + 2. Calculate -40*n(b) - s(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3441\/(-124)*(76\/(-15))\/(-19).\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3934, 3730, 3394, 2926, 2326?\n\"Answer: -66*q**2 - 6*q + 4006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 7:31 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 PM and 4:19 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ijijcjqqjjjlq. Give prob of picking 1 i and 1 c.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -0*v - 12. What is the third derivative of -11*n**5 + 2*n**v + 19*n**5 + 2*n**2 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3282*o**2 - 22. Let l(i) = 19*i. What is l(f(q))?\nAnswer: -62358*q**2 - 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -1483*f + 2. Let t(z) = 1571964*z - 2121. What is -2121*j(g) - 2*t(g)?\nAnswer: 1515*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1988)\/6*(-9)\/6. Let a = j + -319. Let l = 483 - a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = 2*g - 5*p, -468*p + 472*p = -11*g - 311 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.3  (b) 1  (c) 2  (d) 18\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*a - a - 9, 4*a = 4. Suppose -3*s = n + 6, -3*n - 2*n = j*s - 14. Find the second derivative of 6 + 2*i - n + 4*i**2 - i wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 28\/23, -3579 in ascending order.\nAnswer: -3579, -3, 28\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -52*p**3 - 3*p**2 - 7*p - 6. Let r be v(-5). Let u = 26924 + r. Suppose m = 16622 + u. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 6  (b) 3\/7  (c) 259  (d) -5  (e) -12\/209  (f) 2  (g) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (8 + -19)\/((-462)\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-2) + -1)*(-3)\/(-6). Let t be 41\/63 + 2\/(-9) + k. Which is the nearest to 0.4?  (a) t  (b) 0.2  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - 2. Let n be ((-160)\/(-192))\/((-2)\/(-9)*3). Let o = -0.3 + -1.7. Which is the nearest to -0.1?  (a) o  (b) n  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31561 by 2623.\nAnswer: 31561\/2623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, c: 3, k: 2, u: 5, g: 2, z: 2}. What is prob of sequence cy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (30 + -30))\/(-1 + -2 + -11)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 4, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**4\/12 + n. Let g(x) be the first derivative of 0*x**2 - 5 + 0*x + 1\/3*x**3. What is g(p(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-884)\/(-68)*2\/(-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(-2))\/(1 + -3). Let i = -16.6 - -18. Let k = i - 0.4. What is the nearest to k in -2\/7, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -53*s - 138. Determine p(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**3 + 0*r**3 - r**3)*(1068*r - 1981*r + 6*r**2 + 742*r - 2).\nAnswer: -12*r**5 + 342*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7 + 1 + 6 + 21*y**2. Let s(z) = 2*z. What is o(s(a))?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5667395 decades to months.\nAnswer: 68.00874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 35140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.5 and -0.16.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2773*v. Let c(n) = 12*n. Give c(s(o)).\nAnswer: 33276*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 1558*z**2 - 31*z + 10. Let m(y) = -3117*y**2 + 62*y - 17. Let f(w) = -4*m(w) - 7*u(w). Find the second derivative of f(o) wrt o.\nAnswer: 3124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 11*r. Let s(o) = 4*o. Let v(l) = -3*q(l) + 8*s(l). Let d(j) = 2*j. What is v(d(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -357*z + 4940*z + 1635*z + 5417*z as s*z + p and give s.\nAnswer: 11635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12 and 9895.\nAnswer: 118740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -5*y - 0*t - 8, 5*t - 24 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**7\/(x*x**18))**(1\/2))**(-1\/7))**(1\/89) assuming x is positive.\nAnswer: x**(6\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 216*q**3 + 9*q + 9. Let a(n) = -108*n**3 - 4*n - 4. Calculate -9*a(y) - 4*w(y).\nAnswer: 108*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(168))\/sqrt(6) + (-6*(sqrt(7) - 1*sqrt(7)))**2 + 3 + sqrt(112).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40960.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 66 - 17 = -2*h, 2*h - k + 45 = 0. Round h to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -2*a + 127, x = 5*a + 19233 - 19240 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*k*p*t**2 - 2*k*p*t + 116*k*t**3 - 1935*k*t**2 - 3*p*t**4 + 5*p*t**2 - 22*t**4 - t**3 - 8*t**2 wrt t?\nAnswer: 696*k - 72*p*t - 528*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2444 divided by -28\nAnswer: -611\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29095, -29097, -29099, -29101, -29103?\nAnswer: -29105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6380123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 - 4*p - 4. Let l be y(6). Let h be (-6)\/l*10\/(-3). Let t = -161 - -1289\/8. What is the second biggest value in 0, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34872\/261515 - 2\/156909. Factor f*k**2 - 2\/3*k + 0.\nAnswer: 2*k*(k - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(((-80)\/(-15))\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27 + -2274?\nAnswer: -22a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-3)\/(-306)*-3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 523222, 1046444, 1569666, 2092888, 2616110?\nAnswer: 3139332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 4, 2, -4, -2070, -7, -5 in increasing order.\nAnswer: -2070, -7, -5, -4, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-3))\/(1351\/3474)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 768648?\nAnswer: 2, 3, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-52)\/(-8)*-2*(1 - -1). Let s be (-6)\/39 + -14*4\/j. Let m be (4\/(-6))\/((-2)\/12). Solve 3*w - s = m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 + 1770*l**2 - 970445*l + 19552470.\nAnswer: 5*(l - 283)*(l - 21)*(l + 658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*p**3 - 63900*p**2 + 2095119*p - 953370 = 0. What is p?\nAnswer: 6\/13, 33, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 6*x**2 - 4*x - 4. Let y be t(-6). Suppose 4*j + 0*j + y = 0, 4*j = -4*h - 12. Are -2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -6. Suppose 26 + u = w. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/15 - 110\/(-50). Suppose l*m = -0*m + 2. Sort 2, -3, m.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92 and 212?\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1674581.4 and 0.11.\nAnswer: 1674581.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 956738965.\nAnswer: 5, 7, 13, 281, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -33*i + 246. Let o be y(-42). Let s be 5662\/(-6) + 6\/9. Let c = o + s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 5 + 175. Calculate the lowest common multiple of 72 and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 586610275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 6*q**2. Let l be z(6). Suppose 4*g - 47 - 341 = l. Let p = -1924 + 1949. Calculate the remainder when g is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-8)\/((h**3\/h)\/h)*(((h**(-6\/11)\/h)\/h)\/h)\/h*h*(h\/(h**(-8)*h))\/h assuming h is positive.\nAnswer: h**(-61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3\/140 - 6431\/420. Let z = 224\/15 + n. Let g = 267 - 268. Is z greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318677635 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/24 + 163\/8. Let u be ((-4)\/(-5))\/(4\/w). Solve -u + 2 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*q + 1 - 3*q + 11*q - 3*q**3 - 4*q to w*q + h*q**2 + s*q**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(1\/3)*s**(2\/9)*s\/(s*s\/(s**(-2)\/s))*s**(-6)*s)**33 assuming s is positive.\nAnswer: s**(-803\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 - -79. Suppose 12 = 3*k + 3*h, 4*k - h - 48 = 3*h. Suppose -k*x = -3*x - 60. What is the remainder when z is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 18*x = 341, 3*w - 26 = -5*x + 305. What is the remainder when 4945 is divided by w?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -225 + 251. Let h = -43 - -21. Let l = p + h. Let c(q) = -q - 1. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2551666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2.1. Let u = 4 - 6. Let j be (-3)\/u - (-4)\/8. Which is the closest to y?  (a) 1\/4  (b) j  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 59 = -133. Suppose -2*p - 6 = -3*p + s, -5*s - c = -4*p. Let b = 82 + -53. What is the remainder when b is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -659, -2782, -6373, -11432, -17959, -25954?\n\"Answer: -734*x**2 + 79*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/5  (b) -0.3  (c) 199\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 6, 26 in descending order.\nAnswer: 26, 10, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5162*k - 5164*k - 123 = -11*d, -5*d + 2*k + 57 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1192\/6 + (-4)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (20 - 7 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 1\/3*d**6 + 0*d**2 + 0*d + 2 + 0*d**4 + 2\/3*d**3 + 0*d**5. What is the third derivative of y(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(153) + 2 + sqrt(153) + 5 + sqrt(153))*-6)**2.\nAnswer: 6048*sqrt(17) + 89892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 250 and 825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a + 41*a - 84 = 0. Suppose -2*s + 4*s - 12 = 3*x, -x = -5*s + a. Solve 2*g + 3 + 1 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52990 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 352182 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -49 + 32. Let p be 1*-11 - (16 + u). List the prime factors of 4\/(80\/2868) - (-4)\/p.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a factor of 2865781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.9 + -2. Suppose -4*q - 3*w = -7*w + 4, 5*q + 5*w = 15. Let p = 0 - 0.1. Which is the nearest to p?  (a) r  (b) -1\/3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 3  (c) -1\/4  (d) 11  (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21 + -9)*(-4)\/50*-5. What is the common denominator of (-281)\/132 - (-2)\/q and 33\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142501 (base 7) to base 4\nAnswer: -12223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*h + 7*w + 87 = 13*h - 0*h + 3*w, 0 = -11*h - 12*w - 221 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 1821775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 6*q + 2. Let m be a(-7). Suppose m = -2*r + 29. Suppose -10*i = 4*i - 42. Solve -b = -3*b - r, i*j + 21 = -3*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2237518 and 2.\nAnswer: -2237516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -3*s + 22, 130*x - 125*x = -5*s - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -255*w**3 - 6*w**2 + 3*w + 10. Suppose u + 4 = -3*z, 2*z - 34 = -5*u + 5*z. Let i be r(u). Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -66 + 37. Let u = w + 29.22. Let r = 0.12 - u. What is the closest to r in -4, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -195*v + 8 + 407*v - 3 - 203*v. Let l(a) = 4*a + 2. Let x(q) = -5*l(q) + 2*n(q). Let u(z) be the first derivative of -67*z**2\/2 + 1. Give x(u(p)).\nAnswer: 134*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00026304 to six dps.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 5*f = -4*f + 12, -x - f - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 887476 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 113816 = -4*u, -2*u - 168*n + 167*n = -56887. What are the prime factors of u?\nAnswer: 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 43*m + 12 = 45*m, 3*z + 9 = 2*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*42\/(-108))\/((-3)\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*r = -1096*r - 752*r + 77482 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**5\/60 + z**4\/6 - z**3\/2 - 6*z**2. Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-14)*10\/(-90)*12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -78 and 3.9014.\nAnswer: -304.3092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*v**5 + 38*v**5 + 20*v**5 + (-3*v**2 + 3*v**2 - 2*v**4)*(3*v - 3*v - 2*v).\nAnswer: 49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 12) to base 13\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgvv when four letters picked without replacement from {p: 1, v: 2, g: 4, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 113 = -5*x, 0 = 4*x - 5*p - 0*p - 104. Suppose 0*r + 3*s = 2*r - x, 4 = -2*r - 2*s. Solve -r*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i**2 - 811 - 19*i - 23*i + 837. Let d be k(10). What is the highest common factor of d and 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14 + -25465?\nAnswer: -25451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 19*r**2 + 41*r - 21. Let i be c(-21). Let w(m) = m - 3. Let l be w(5). Solve -l*j - j - 8 = -4*f, i = -3*j + 5*f - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -2*y**5\/9 - 2*y**4 - 52*y**3\/9 - 4*y**2 + 6*y + 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 367073856 to the nearest integer?\nAnswer: 19159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -220, -435, -660, -901, -1164, -1455, -1780?\n\"Answer: -r**3 + r**2 - 211*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4 - 12 = 0, 5*q = 4*f + 63. Let r = q + -9. Sort r, 7, 5 in ascending order.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95059 is divided by 179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 - 3*b**2 + 4*b + 14. Give y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) -2\/3  (c) -4  (d) 0  (e) -405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/198329825 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.05 from -42.\nAnswer: -42.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 40 = i - 146, -2*z = 5*i - 912. List the prime factors of i.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f**3 - 2*f + 2*f)*(-2*f - 6*f + 2*f + (-3 - 3 + 4)*(-2 - 2*f + 2) - 3*f - f + 2*f) to g*f**2 + j*f**3 + u + p*f + w*f**4 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60976219 is divided by 284?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of d**7\/840 + 7*d**6\/360 + 7*d**5\/120 + 7*d**4\/24 + 71*d**3\/3 + 232. Let f(l) be the third derivative of u(l). Give f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27681 is divided by 268.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 32 = -185. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 8 + 10 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63941*y**3 + 24 + 31035*y**3 - 24.\nAnswer: 94976*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 296*j**3*o**2 - 8012*j**3 - 78*j**2*o**2 + j*o + 129*j - 1221*o**2 + 2 wrt o.\nAnswer: 592*j**3 - 156*j**2 - 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -7*f + 3*f - 4*l, f = -3*l + 17. Solve -20 = -f*i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1457 + -1464. Let c(v) = 5*v**2 - 3*v + 2. Let l(j) = -3*j**2 + 2*j - 1. Calculate q*l(g) - 4*c(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 199\nAnswer: -5\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**2 - 214229568*v - 11473576951366656 = 0. What is v?\nAnswer: -107114784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/9*(-5)\/(-200)*12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 53.632?\nAnswer: 44.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -322, -321, -320?\n\"Answer: r - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**2 + 187364*z = 0?\nAnswer: -187364, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/7)\/2*((-18)\/162)\/((-5)\/(-240)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5143431.\nAnswer: 3, 1714477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeieeveeeiikiik. Give prob of picking 1 v and 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3203430?\nAnswer: 2, 3, 5, 106781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -1664*n + 3*n**4 + 539*n - 3 + 560*n + 548*n as t + a*n**3 + f*n**2 + u*n + k*n**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*d - 35*d + 31*d.\nAnswer: -213*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from almld. Give prob of picking 2 d and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -84aabe (base 16) in base 2?\nAnswer: -100001001010101010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -54*v + 49*v. Suppose 2*h - 23 = -v*p, -2*h + 14 = 2*p - 0. Let i(b) = b**2 - 3*b - 2. What is i(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b - 18*b + 36 = 0. Suppose -b = -10*h + 7*h. Suppose 6*g**2 - 11*g**3 - 2*g**h - 4*g**4 - 4*g**3 - g**3 = 0. What is g?\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/2 - 1*3. Suppose -76 = -2*s - j*s. Let c = 12 + s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 9*k + 17 = -4*k, -4*h - 2*k + 20 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -4*u**2 - 87*u - 61. Determine p(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 1482 and -2.4.\nAnswer: 1479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 9. Solve -5*f = -j - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 54?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111766 = -10*r + 845916. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0\/((-18)\/(-3)))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 6)*(r**2 + 3 - 3) - r**2 - 3*r**2 + 3*r**2 + (-5*r + 3*r + 3*r)*(-2*r + 4 - 4) - 4*r**2 - r**2 + 3*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2876 + -1794. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 3:03 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 12 = -v + 12*a, -4*v = -5*a - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -36*j - 7. Let l be r(-7). Calculate the highest common factor of 343 and l.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/407 + -1211\/2035. Let s = 0.2 + -0.1. Let z = 0.2 - 0.7. Which is the closest to s?  (a) -5  (b) o  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s. Let v(q) = -15348*q. What is v(o(a))?\nAnswer: -30696*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 - 2)*(3 + -2). Suppose m*i = 2*i. Let p be 5\/12 + (-2)\/12. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (39 + -45 + 4 + 2 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w\/w**1)\/w*w*(w\/(w\/(w\/w**(-2\/33))))\/w)\/(w*w**(-1\/4))**24)**(-25) assuming w is positive.\nAnswer: w**(13150\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of -8*l**7\/105 - 3*l**6\/10 - 2*l**5\/5 - l**4\/6 + 7*l**2. Factor m(c).\nAnswer: -4*c*(c + 1)**2*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 2*o - x + 29, 0 = o + 3*x - 21. Suppose -o = -l + 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4361\/9 + 482. Let s = 8256 + -65951\/8. Calculate the common denominator of t and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-350)\/(-3) - 2\/(-6). Suppose 5*c - l = 5*z - 12, 5*z = -5*c + 55. Calculate the greatest common divisor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16583, -64563, -144529, -256481?\n\"Answer: -15993*j**2 - j - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39 - -31. Suppose v = 6*q - q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.389831 millimeters to nanometers.\nAnswer: 1389831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-15)\/6)\/((-20)\/16). Let k(w) = -3*w**2 - 2*w**m + 4*w**2 + 0 - 2 - 3*w. Let f be 14\/(-2) + (-1 - -4). Determine k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-19 - (4 - 36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2) + 14\/4. Suppose -j*m - 5 - 3 = 0. Suppose 0 = -3*h - 4*w + 14 - 6, -2*w = 3*h - 4. What is the nearest to m in -2\/7, h, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/6)\/(1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of 185*c**8\/336 + 11*c**6\/120 + 3157*c**5\/60 - 2626*c**2. What is the third derivative of p(f) wrt f?\nAnswer: 11100*f**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -70bd + 4?\nAnswer: -70b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(96) - sqrt(96)*-1))\/sqrt(4))\/((sqrt(8) + sqrt(32)\/sqrt(4)*2 - sqrt(8)) + (sqrt(392) - sqrt(392)*-2))*3.\nAnswer: -18*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1357040, -1357041, -1357042, -1357043?\n\"Answer: -a - 1357039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17752393?\nAnswer: 509, 34877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*u - 21 - 7. Let q(j) = j + 14. Let i be q(-14). What is the second biggest value in i, u, 5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 41331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -47*z**3 - z**2 + 1. Calculate m(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 10*j = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4568\/7  (b) 0.3  (c) -1\/4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-25)\/2)\/((-16)\/32) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121556 divided by 4\nAnswer: 30389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 + 36. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46 and 767625.\nAnswer: 1535250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 - 8*c + 29. Let f be l(0). Suppose -37*g = -f*g - 5080. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, o: 4, n: 4, q: 2, a: 3}. Give prob of sequence nqno.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23941 and -0.2.\nAnswer: -4788.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21412556*i**5 + 7*i**4 + i**2 - 2*i - 14466462 wrt i.\nAnswer: 1284753360*i**2 + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8370000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -33113 - -3?\nAnswer: -33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1625)\/65)\/(-8 - -3) + 8*1. Let z(k) = -15*k - 4. Let v(r) = -7*r - 2. What is i*v(t) - 6*z(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 460.1764 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*b**3*d**3 - b**3*d - 4*b**3 + 23619*b*d**3 - d**4 - 465657*d**2 wrt d.\nAnswer: 492*b**3 + 141714*b - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)\/(-2*sqrt(60)\/sqrt(6))*3*-3 + ((sqrt(180)*2)**2 + -5)*-2*-3.\nAnswer: 9*sqrt(5)\/2 + 4290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36595673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30334222 + 15?\nAnswer: 30334241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 70.0000124 - 70. Round d to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2020.2141 rounded to the nearest 10?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/96 - 3\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 5:04 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 13078*f**2 + 124*f + 124. Is 13 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*a + 308 - 62 = -2*b, -8*a + 5*b + 133 = 56 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -3, -77, 1, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 617031 (base 9) to base 5.\nAnswer: 43202421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 22*h**2 - h + 1. Suppose -4*y = -4*k - 8, 3*y - 2*k - 2*k = 7. What is the lowest common multiple of (-26912)\/(-1160)*10\/4 and u(y)?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 5:29 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 341457819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-36)\/16)*(-10)\/(880\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 90\/300 + (-2139)\/(-2360). Let k = -3\/472 + c. Determine w, given that -k*w**3 + 0 - 4\/5*w**2 - 2\/5*w**4 + 0*w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.14?  (a) 3  (b) 0.3  (c) -3  (d) 254  (e) 8  (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1191, 53, 2, -66.\nAnswer: -66, 2, 53, 1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from usbvubf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3\/5 - 152*l**2 - 62216*l\/5 + 1958592\/5.\nAnswer: -2*(l - 24)*(l + 202)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 9*r**2 - 12*r - 32. Let u be f(-8). Solve -44*o + 52*o + 24 = u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*i**5 - 47*i**2 + 9649*i?\nAnswer: 880*i**3 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 627\/19 + -3*1. Let l be (12\/(-10))\/((-12)\/q). Solve -4*r + 4 = t, -5*t = -l*r - 1 - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of -p**5\/40 + 3*p**4\/4 + 133*p**3\/4 + 2990*p**2. Suppose w(s) = 0. Calculate s.\nAnswer: -7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, e: 17}. Give prob of sequence eeeg.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h = 5*h + 126. Let b = 55 - h. Calculate the remainder when 133 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 7:03 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2111001010110 (base 3) to base 16.\nAnswer: -14229f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 15. Let x(d) = -d**2 + 10*d - 6. Let l be x(w). Let h = -9 + l. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4520658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -49*b**2 - 1 + 20*b**2 + 8*b**2 + 23*b**2 - b. Let n(q) = q + 1. Calculate n(t) + s(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 13 - 6)*(9*z**4 - 7*z**4 + 6*z**4).\nAnswer: -176*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-2)\/4*2). Suppose 2*k - 4 + 0 = q. What is the derivative of -4*z**k + 2*z**2 + 1 + 3 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5532 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/15 - (-2)\/(-5). Suppose 0 = j - 0*j - s. Determine x, given that -2*x**2 - 3*x**2 + 18*x - 27 + j*x**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -0.1, -174?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 3.6, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-4 + 4 + -2)) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -9)\/(-5 + (-34)\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 8. Suppose 0*y - 5*t = a*y - 114, t = -3*y + 171. Is 25 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*s + 28*s - 10*s - 10*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f + 7. Let r be p(-5). Let k(t) = -4*t**r + 4*t + 6 + 2*t**2 - t**2. Let n(m) = 8*m**2 - 11*m - 17. Give -11*k(d) - 4*n(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467711 times 7?\nAnswer: 3273977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -68*w**3\/3 + w**2\/2 + 404*w + 10. What is the first derivative of t(d) wrt d?\nAnswer: -136*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**2\/3 - 588886*p + 15900408 = 0.\nAnswer: -883356, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4\/419055?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 53353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-13)\/q**(1\/26))**(-36)*(q**(-15)*q*q**(-5))**31 assuming q is positive.\nAnswer: q**(-1555\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258 is divided by 178?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-9\/5)*u**(4\/7))\/(u**(-7))**(-2\/7) assuming u is positive.\nAnswer: u**(-113\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, n: 1, h: 2, s: 1, y: 2}. What is prob of picking 2 y and 1 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 1645*l - 75672. Determine z(46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 147\/2  (b) -0.5  (c) 538  (d) -0.1  (e) -3\/8  (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 396589495 to the power of 1\/2, to the nearest integer?\nAnswer: 19915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4570*c - 6136*c + 4880*c to the form p*c + l and give p.\nAnswer: 3314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 0) + -2 - 4 - -2. Let a(c) = -4*c**2 - 22*c**3 + 5*c + 2*c + 11*c**2. Let y(j) = -15*j**3 + 5*j**2 + 5*j. Determine u*a(i) + 7*y(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1917 minus 55269092?\nAnswer: -55269092.1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-11)*a*a)\/a**(-2\/3) assuming a is positive.\nAnswer: a**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 5  (b) 32788  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5846*g**2 + 11*g - 11573*g**2 + 5709*g**2.\nAnswer: -18*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2062 + -2062. Solve q = -8*r + 306 - 266 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13081 divided by -109?\nAnswer: -13081\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -b**5\/130 - 5*b**4\/78 + 19*b**3\/13 - 99*b**2\/13 + 271*b. Find i such that v(i) = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3974 times 0.1\nAnswer: -0.03974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 10*h**2 - 26*h - 8. Let g be x(5). Are g and -44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 918*o**3 - 2*o**2 + 3*o. Let k be b(2). Let z be (k\/6)\/(16\/3). Let i = z - 225. What is the common denominator of i and -99\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26.1 + 25.39. Let g = u + 0.8. Let a be (-2)\/3*(-6)\/(-2). Sort a, 0, g in increasing order.\nAnswer: a, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32036 is divided by 193.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmuussussuimasuiim. Give prob of picking 1 s and 2 m.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - 1786\/4 - 28\/56. Let c = k - -557. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -210 by -23.\nAnswer: 210\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -275 = 4*n + 197. Let x = n - -190. What is the greatest common factor of 96 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 9*o + 12. Let m = -77 - -85. Let c be a(m). Suppose -c*v + g - 14 = 3*g, -5*g = -15. Sort v, 2, -1 in decreasing order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/7*w**4 - 10\/7*w - 6\/7*w**3 + 18\/7*w**2.\nAnswer: -2*w*(w - 1)**2*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 + 2407 = 23*z. What is the highest common factor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-3))\/(7\/(-42)). Suppose 2*r + 0*r - 5*u = -43, b*r + 16 = -4*u. Let z = r - -58. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -208*j**3 + 2*j**2 - 2886*j + 7966385 wrt j?\nAnswer: -624*j**2 + 4*j - 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -30b - -3?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2755 and 1830973?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10026 and 3684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*j + 8. Let w be 1\/(-3) - (-65)\/15. Let r(z) = -z**2 + 5*z + 4. Let k be r(w). Solve 5*b + 25 = j*n - k*n, 0 = -3*n - 4*b - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -7031830.\nAnswer: 1\/1406366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 2*w - 7, -3*w - 2*r = -w. Suppose 11 = 12*t - w. Which is the biggest value?  (a) 5  (b) 9\/10  (c) t  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3158)\/28 - 22\/(-77). Let g = u - -111. Let l = -8 + 11. Sort 1.7, g, l in decreasing order.\nAnswer: l, 1.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**2*n**2 - 3*g**2*n + g*n**2 - 14*g*n + 3937*n**2 + 154 wrt n.\nAnswer: -4*g**2 + 2*g + 7874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(12))**2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(125) - (2 + sqrt(125))**2) + (2 + -1*sqrt(125))**2)*-6 + -3.\nAnswer: 21 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10314887 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3106 = 6188. Suppose -390 = 4*l - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -664db (base 15) to base 3\nAnswer: -121111221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 6*i**2 + 5*i**2 + (i + i - 3*i)*(0*i - 3*i + i) - 4 - 2*i**2 + 4 - 2)*(-2*i + 7*i - 2*i).\nAnswer: 3*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46970 + 76569. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - -53. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, -152, 2, 1.\nAnswer: -152, 1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2936980.6 minus 0.5?\nAnswer: -2936981.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 1:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36234, -149356, -337892, -601842?\nAnswer: -941206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -31*s + 53437. Is q(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2. Let d(r) = -6*r**2 - 95*r + 28*r + 67*r + 25. Give q(d(i)).\nAnswer: 72*i**4 - 600*i**2 + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 42. Let a = 888 + -114. What is the highest common factor of a and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**3 - 365384*h**4 + 20 + 369842*h**4 - 21 + 2*h to u + j*h**2 + y*h**4 + z*h**3 + m*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -109*d**3 + 440*d**3 + 52*d**3 + (-3 + 3 - 2*d**2)*((-4 + 2 + 0)*(d - d - d) + 4*d + 6 - 6) in the form f*d**3 + a*d + s*d**2 + c and give f.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9681.466m to millimeters.\nAnswer: 9681466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-196)\/805) + 4\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.1  (b) 0  (c) -2  (d) -9494  (e) 5  (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (134 + -121 - 44)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-1*sqrt(99) - sqrt(99)) - ((sqrt(99) + sqrt(99)*-2)*-1 + sqrt(99)))*5)\/(4*(sqrt(1296)*-1 - sqrt(1296) - sqrt(1296))*5).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 184 + -186. Let q be 2 - (-10 - -11)*o\/4. Find g such that -q*g + 5*g**3 + 0 - 5\/2*g**5 + 0*g**2 + 0*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-600)\/(-70))\/(((-12870)\/(-455))\/66)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.23 + 0.08. Let v = n + -3.85. Let s = 1 + 4. Which is the third smallest value?  (a) v  (b) -4\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/sqrt(2) + 0 + sqrt(2) + (sqrt(2) + (sqrt(8)\/sqrt(4))**2*-2 - sqrt(2)) - (sqrt(22) - 2*sqrt(22)*-5)\/sqrt(11).\nAnswer: -9*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m + 2*m + 2*m**3 + (-5*m**2 + 2*m**2 + 4*m**2)*(50*m - 28*m + 73*m) in the form w + i*m**3 + p*m + q*m**2 and give i.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, f: 3, r: 4, x: 2}. Give prob of picking 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 360*j + 0*j + 485*j.\nAnswer: 845*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 228 = -60. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**3 + a**2 - a + 1. Let o be c(1). What is the units digit of ((-1375)\/(-15) + o)*(-1 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 1934 = -3*n, 1135 = -4*n - l + 3707. Let m = -263 + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 1:39 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 2*t = 16. What is the highest common factor of 32 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 6. Is 55 - (-2)\/s*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 130, 481, 1058, 1855, 2866, 4085?\n\"Answer: -s**3 + 119*s**2 + s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 17\/3, 102, -2\/9, -3\/25, -0.09, 18?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*m + 165*m = 20. Which is the smallest value?  (a) -0.07  (b) m  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33643782 * -3.\nAnswer: -100931346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -762924, -3051677, -6866266, -12206691, -19072952, -27465049, -37382982?\nAnswer: -48826751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1092 = 5*m + 6*n - 2*n, -3 = -n. Let t = -646\/3 + m. Determine a, given that -10\/9*a**3 + 0 + 4\/9*a + t*a**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8405426617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 l when four letters picked without replacement from {l: 3, q: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 14) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1039410 by -1.\nAnswer: 1039410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 7496895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44795932*i**2 + 36186413*i wrt i?\nAnswer: 89591864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 161 - 52. What are the prime factors of t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -168, -209, 1, 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 5*d**2 - 39*d - 22. Let v be i(13). Let p = -316 + v. Put 72, p, -3 in decreasing order.\nAnswer: 72, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 176?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - -1*sqrt(5))*4 - (sqrt(45)\/(sqrt(45)\/sqrt(5)) - sqrt(5)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18341346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.26 + -2.46. Let r = 2.2 + m. What is the closest to 1 in -1, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-67.4.\nAnswer: -20.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7643 + 237*g**2 + 7643 + (-2*g + 0*g + 4*g)*(g - 3*g + 3*g) - g**2 - 3*g + 3*g to the form a + o*g**2 + b*g and give o.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 10:11 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -36 * -0.03258\nAnswer: 1.17288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2525032*u**3 - 4*u**2 - 106166448*u wrt u?\nAnswer: -15150192*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + 2 + (-16 + -4)\/4. Which is the closest to -0.1?  (a) -5  (b) 2\/3  (c) 5\/2  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 15*z**2 - z - 11. Let y be n(-15). Let o(i) = -i**3 + 6*i**2 - 6*i - 5. Let f be o(y). Solve -4*a - 7 = -4*h - 3, -22 = 2*a + f*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13.7 + -14. Let d = r + 0.6. Suppose 40 = 5*i - 5*j, 4*j = -i + 3*j. Which is the nearest to -0.1?  (a) i  (b) d  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - -225. Let v = -214 + a. Is v bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2821 - 0.0279.\nAnswer: 2820.9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -6*i + 10*i - 5*f, -2*i + 5*f - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21cb (base 15) to base 8\nAnswer: -15776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13, 46, 129, 286, 541, 918, 1441?\n\"Answer: 4*s**3 + s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.37067ml?\nAnswer: 0.00337067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*k = -6613133 - 300977. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-585)\/(-26)*(-2)\/40*-2. Factor 3\/4*y - p - 3\/4*y**3 + 9\/4*y**2.\nAnswer: -3*(y - 3)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 256783679724310.89999957 - 256783654887685. Let p = f + -24836626. Let n = p - -0.1. Round n to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((0 + -14 - -8) + -6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9204 is divided by 483?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (432\/135)\/(-16)*(-10)\/52?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 4 = 5*k. Suppose -k = 4*t - 25. Suppose u - 35 + t = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**3 + 8*m**2 + 8*m - 20. Let f(l) = -l**3 - 3*l**2 - 3*l + 7. Suppose -25*j + 9 - 209 = 0. Calculate j*f(d) - 3*h(d).\nAnswer: 2*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrllrllrllrrlr. What is prob of sequence lrrl?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16368 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12616, -25234, -37852?\n\"Answer: -12618*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -7234?\nAnswer: 7236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1099333743 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -23 - (79 - 108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4656526185.\nAnswer: 3, 5, 17, 18260887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-4)*-30*(-26)\/(-1365)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*g + 38*g - 783*g**2 - 94 + 94 + g.\nAnswer: -783*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.0479, 2\/7, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 4 - z - 2)*(0 - 3 + 2)*(3*z - 4*z - z) - 24*z**2 - 8*z**2 - 8*z**2.\nAnswer: -42*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.179*0.07\nAnswer: 0.01253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(1377) + -3)**2.\nAnswer: -54*sqrt(17) + 1390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 28564.69 milligrams in micrograms?\nAnswer: 28564690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 5:56 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 222457 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-48))\/(1\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**4 - 2*y**3 + 2*y**3 + y**4 + y - y + (-y**2 + y - y)*(-3*y**2 + 0*y**2 + 2*y**2) + (-14*y**2 + 0*y**2 + 4*y**2)*(-y**2 - y**2 + 0*y**2).\nAnswer: 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 + 10*x - 7. Let z be 1\/(2*2\/(-36)). Let q be u(z). Let h = q - -35. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249160715261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-19*x + 19*x - 223*x**2 + 154*x**2 + 454*x**2)*(6*x + 6*x**2 - 6*x) as m + z*x + k*x**4 + i*x**3 + p*x**2 and give k.\nAnswer: 2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 24*m + 42. Let z be g(15). Suppose -z = -2*o - 146. Calculate the greatest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -18 + -2a?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u - 5*f + 124, 563738*u + 5*f - 146 = 563746*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1636612272.\nAnswer: 2, 3, 19, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -42, -40, -38, -36?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5 = -2*k + 11, -5*o + 8 = -k. Let i be o\/(14\/(-4) - -4). Let g(l) = -l**3 + 4*l + 3. Let w(d) = 1. Give i*w(m) - g(m).\nAnswer: m**3 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 6*m**2 + 11)*(11631*m + 168*m**2 - 11631*m).\nAnswer: 1008*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 423 - 345. Suppose 25*u - 147 = p. Solve 9*l = -u - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5815, 5706, 5523, 5266, 4935, 4530?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220 = 66*u - 11*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-36)*m*m)\/m)\/(m\/(m**(3\/16)*m)) assuming m is positive.\nAnswer: m**(-557\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.9 + -3. Let z = 24633 + -24637. Which is the fourth biggest value?  (a) 2  (b) 3  (c) q  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -720402504*p**2 + 370159076*p - 1?\nAnswer: -1440805008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 7*z + 786. Let l = z + 264. Solve -g - 7 = l*r, -g = -5*r + g - 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - (-3 - (0 + -3)). Let m(g) = -4*g**x + 17*g + 2*g**2 - 26*g + 8*g. Let u be m(0). Solve -n - 2*n = u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316 - 259 = 5*r. Let v = r - -463\/4. Let p = 35 - 34.8. Sort v, -0.2, p in increasing order.\nAnswer: -0.2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 6 - 4. Let q be ((-8)\/(-5))\/((-4)\/s). Let p(j) = -1 + 5*j**2 - 4*j**2 + 0 - 5*j + 2*j. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2302 - 2979. Are h and -676 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1351922*h - 866151.\nAnswer: 1351922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 22022?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (12\/48)\/(10\/8)*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 + 0. Let d = 16\/27 - -2\/27. Which is the closest to d?  (a) -1  (b) 2\/13  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (253\/(-299) + 2\/(-13))*7. Let j be 12340 + 4 + b + -1 + 4. Round j to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(42\/(-259)*6\/18). Let n(q) be the second derivative of -1 + 11\/12*q**4 + 0*q**3 - x*q**2 + 3*q. Differentiate n(v) wrt v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/4 - 2\/((-8)\/6). Let p be d\/(-6) + 4\/(-6). Put 1, p, -5, -3 in increasing order.\nAnswer: -5, -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2 + 6 - 4 - z - 2*z**2. What is i(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 4) + 8 + -12. Sort -18\/7, 0.3, r in ascending order.\nAnswer: r, -18\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -169, -346, -521, -694, -865, -1034?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5123 and 31960.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 10:00 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2271, -1626, -967, -288, 417, 1154?\n\"Answer: y**3 + y**2 + 635*y - 2908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*g**3 + 2*g**2*k**2 - 145*g*k + 647563*k**2 wrt g?\nAnswer: -42*g**2 + 4*g*k**2 - 145*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -246*i + 242*i, -47 = -14*n - i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -34 * 167128\nAnswer: -5682352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -80a (base 15) in base 11?\nAnswer: -13a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a + 17. Determine v(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*d + 483 - 143 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13\/(2457\/42)*3*1. Find o, given that 0*o + 0 + 2\/9*o**2 + 2\/9*o**5 + n*o**4 + 2\/3*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -43379, -347252, -1172187, -2778758, -5427539, -9379104, -14894027, -22232882?\n\"Answer: -43429*v**3 + 43*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 542.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/4454 and 19\/7922.\nAnswer: 1037782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m - 977*m**2 + 3305*m**2 - 1181*m**2 - 1158*m**2 + 3*m.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + 4 - sqrt(243))) + -5 + 1 + sqrt(243) + -4)**2.\nAnswer: -432*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-10)\/60)\/(8\/(-8)))\/(11\/(1320\/16))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 875 and 13750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5090\/11*q + 2546\/11 + 2542\/11*q**2 - 2\/11*q**3.\nAnswer: -2*(q - 1273)*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 + 122110344?\nAnswer: 122110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - x + 28. Let o be (-2)\/6*(0 - 0). Let c be i(o). Let v be 7\/(c\/(-64)) - -2. Which is greater: -15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by -262.\nAnswer: -9\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.12  (b) -4  (c) -1\/7  (d) 0.177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-12\/5)\/m)\/m)**(-1\/7)\/((m\/(m*m**(4\/9))*m)\/m**(1\/3)) assuming m is positive.\nAnswer: m**(128\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2404 + 182.\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of 29*b**4\/6 + 673*b**3\/6 - 5*b**2 + 3*b. What is the derivative of u(t) wrt t?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -15*x - 221. Let c be i(-15). Let b(h) = h**2 + 23*h - 6. Let o be b(-21). Let a = o + 52. Solve 0 = -3*s + c*t - 13, 5*s - t + 15 = a*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2919996723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.46 and 153.\nAnswer: 152.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -0*n - 5*n - 4, a = -2*n + 11. Suppose 228 = a*v - v. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 308 + 2956 = -15*h. Which is bigger: h or -1354\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*h - 17145 = 0, 2*h = -6*c + 8*c - 34298. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/3 + 8*t**2 - 86*t\/3 + 20.\nAnswer: 2*(t - 2)*(t - 1)*(t + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 786*g + 9417. Give c(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -3*v - 2*k, 17 + 11 = -5*v - 3*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/(-48)*(-9)\/12. Which is the nearest to -1\/11?  (a) y  (b) -1\/3  (c) 2\/9  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2 = 3. Let k = -0.21 + 0.06. Let z = 0.05 + k. Which is the closest to -2\/5?  (a) z  (b) 0.5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**4\/7 + 172*z**3\/21 + 8*z**2\/7 - 688*z\/7 - 942. Solve b(i) = 0.\nAnswer: -2, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 186 + -187. Let o = 2.73 + -2.71. What is the nearest to -2\/7 in 3\/8, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikci when four letters picked without replacement from gkckgrcvigrgirrgg?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1511799 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t - 26. Let y(s) = -4*s - 1. Let x be y(-3). Let u(d) = 5. Let n(b) = x*u(b) + 2*w(b). What is the first derivative of n(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 432*b**3*z + 522176*b**3 - 888*b**2*z - 2*b**2 + 5*z + 51 wrt z.\nAnswer: 432*b**3 - 888*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 b, and 1 u when three letters picked without replacement from {w: 2, u: 3, v: 3, b: 10}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y + 21. Let x(l) be the third derivative of 11*l**5\/60 - 360*l**2. Give q(x(o)).\nAnswer: -33*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192 - 578 = 55*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 319087 and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -60, -5, 866, 4, 15 in decreasing order.\nAnswer: 866, 15, 4, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 + 32115*l**2 - 64215*l + 32105.\nAnswer: -5*(l - 6421)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1386424953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (3 + 1 - (-4 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**3 - 100*o**2 - 4*o + 317. Let q be f(50). Let y be (-4)\/10 - (-329)\/35. What is the greatest common divisor of q and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -5b?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 74 and -2.8.\nAnswer: -207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*(2 - 12\/5). Let y = -11 - -7. Let s = p - y. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 3, 3*f - 3*p = -5*p + 122. Suppose -19*g - f = -21*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/10 and -2\/20023.\nAnswer: 200230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 822893 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 19 - (1 + -3 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -69, -146, -253, -390, -557?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41 or 223720.5?\nAnswer: 223720.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15381*h - 540 = -15327*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 0.5, -5.2, -103 in decreasing order.\nAnswer: 11, 0.5, -5.2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2286, 2288, 2290?\n\"Answer: 2*j + 2284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/24 + (-33)\/(-4) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 3. Suppose c*p + i = -5*p + 91, 2*p - 2*i - 34 = 0. Suppose -2*h = -0*f - 2*f + 4, 4*f - p = -h. Solve f*l = l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5*(-23)\/((-874)\/(-57))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -79246*m + 713239. Calculate a(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -754941\/5 + 150289. Let l = -178261\/255 - h. Let m = 8\/17 - l. Is -1 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = k + 44 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - d**3 + 0 + (-d + 0*d - d)*(3*d + 2*d**2 - 3*d) + d - 2*d**3 - d + 4 + 3*d**3 - 4.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310203003200 (base 4) to base 12.\nAnswer: -4743828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0024433989 rounded to seven decimal places?\nAnswer: -0.0024434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*c = 2*a - 10, a - 6 = -4*c. Let i = a + 3. Does 2 divide 2*(i\/(-2) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -325  (b) 0.8  (c) 1\/10  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/17  (b) 2  (c) 0  (d) -5  (e) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 10, b: 4, m: 1, v: 3}. What is prob of sequence ubv?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/38980938 and 29\/11.\nAnswer: 428790318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.89, 1, -2\/9, 3 in descending order.\nAnswer: 4.89, 3, 1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23.1 - 23. Let r(s) = 79*s + 1. Let z be r(-1). Let f be (z\/10)\/3 + 2. What is the closest to 0.1 in f, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 5*l**4 + 90*l**3 - 32892708*l + 32892708*l + 225*l**2 = 0?\nAnswer: -15, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2 - 2*j - 5. Let f(l) = -11*l**2 - 11*l - 26 + 17*l**2 + 10*l**2. Calculate -2*f(a) + 11*h(a).\nAnswer: a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -128 + 130. What is the closest to -1 in p, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7609 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22720 = 28*v - 7744. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 199762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 = 3*k + 2*k. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3\/13, 0.1, -30646, -0.8.\nAnswer: -30646, -1, -0.8, -3\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 30*k**2 - 62*k + 63. Let t be m(-32). Let i be (12\/t)\/3 + 340\/85. Suppose 1\/2*p**3 + 7\/4*p**2 + i - 1\/4*p**4 + p = 0. What is p?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 720*l**5 - 1828*l - 1 wrt l?\nAnswer: 14400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 11*p - 91 = 0. Suppose p*g = -2*g - 72. Let y(v) = -v**2 - 11*v - 12. Give y(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 199\/2604 - 1\/84. Let r = -24\/589 - w. What is the second smallest value in 1\/4, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98552437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34.1 + -33. Let u = 64939897 - 64939898.10000007. Let c = u + k. Round c to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4 - (-7)\/(-7) - -232. Let s = n + -179. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 + -87. Let l be 3\/2*a\/(-24). Suppose -4*f + 10 = -l*f. What is the remainder when 17 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 5*b**2 - 9*b + 10. Let r = -923 + 916. Give i(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 190 by 685.\nAnswer: 38\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 0, 0.29, 2.9, 2?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*q - 37 = q, 0 = -l - 3*q + 1. Suppose -3*n = -l*n - g + 806, -4*g - 412 = -2*n. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 99*d**2 - 2*d. Let l(z) = 237271*z. Calculate l(c(i)).\nAnswer: 23489829*i**2 - 474542*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.128 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, -2\/5, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -5*z. Is z not equal to -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 18999*o**3 + 4*o + 3. Let w be j(-1). Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 15 = 2*j. Suppose -4*b = -3*v + v - 30, j*b - 5*v = 33. Let m be 0\/b + (1210000 - 0). Round m to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/2  (b) -0.03  (c) 2  (d) 5  (e) -2.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -275 + 283. Let s(l) = -l + 22. Let q be s(16). Suppose q*v - 3*v = 0. Solve v*z = 2*z - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -293*b**5 - 44*b wrt b.\nAnswer: -5860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*h - 2*h - 4*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*g + 13. Solve 2*i = -2*y - 2, 2*y + 14 = -0*i - g*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, e: 2, d: 2, u: 1, q: 2, l: 5}. Give prob of sequence dul.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 8:35 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bllb when four letters picked without replacement from {l: 9, b: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -26*r + 78. Let y be l(3). Let q(h) be the third derivative of -1\/6*h**3 + 0 - 5\/24*h**4 + 6*h**2 + y*h. What is q(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5984 and 792.\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s - 424. Let w(u) = -22. Determine -m(x) - 4*w(x).\nAnswer: -3*x + 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 395617919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10\/9 + 16\/9. Suppose k - 8 = -2. Let f be k\/3 + 1*-1. Which is the nearest to -0.1?  (a) f  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/(-3) + 20\/(-30). Solve -d*z - 10 = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**3 - 1. Let s be q(2). Suppose 3*r + s = 5*y, 4*r = -5*y - 11 + 27. Solve 0 = -y*l - 2*i - 6, 2*l = -3*l - 4*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 10*y - 130. Let j(n) = y*n**3 - n**2 + 8 + 9*n**3 - 7*n - 7*n**2 - 20*n**3. Determine j(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) -1489  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 4169*j**3 + 42*j**2 - 7*j + 4. Let d be h(12). Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/5, -2\/11, -0.4, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 1:27 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 4*m**3\/3 - 7*m**2\/2 - 2*m. What is the least common multiple of a(6) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2, 3, -0.046, 0.4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*p + 456, x = 6*x - p + 1163. Let g = x - -377. Let w = g - 26. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 9:06 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and -2776423?\nAnswer: 2776423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**4 - 3*h**4 + 5*h**4)*(-34375*h + 13491*h + 15289*h).\nAnswer: -5595*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.08845 days to minutes.\nAnswer: 122527.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 32. Let h be p(10). Let k be (4 + -1)\/(165\/h). Which is the nearest to 2?  (a) -2  (b) -0.2  (c) 5  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 13*n**2 - 2*n + 18. Let o be y(13). Let h be -1 + ((-10)\/o)\/((-3)\/(-12)). Let a(q) = q + 8. Let v be a(-8). Solve v = w - 1 + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 8*y**2 - 7*y + 2. Let x be v(-7). Solve 2 = -2*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.03, -5, 13, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**9)\/i)\/i*i**(3\/4)\/i)\/(i**(2\/5)\/i**8)*i**4*i\/i**(2\/7)*(i**1\/i)**23 assuming i is positive.\nAnswer: i**(2809\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - b**3)*(6693 + 40717 - 58613 - 65210 - 57969) to the form z*b**3 + p + u*b**2 + k*b and give z.\nAnswer: 134382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -5, -1082, -13, -7\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(153) + 2*sqrt(153)) + sqrt(153) + sqrt(153) - (3*(sqrt(153) + 2*sqrt(153)) + sqrt(153) + sqrt(153)))\/(-3*sqrt(1089)*-1) + 4.\nAnswer: -5*sqrt(17)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2093 + 263 = 4*v. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + a)*(-539 + 2219 + 2007 - 816) to q*a + k and give q.\nAnswer: 2871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 146173717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.019?  (a) 0.1  (b) -38\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 - 53*b - 146. Determine c(31).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 8) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 115\/(-690) - 50107\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 504755*y**2 - 2. Let x(s) = -2*s. Give g(x(u)).\nAnswer: 2019020*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1339 + 6814 - 1373 - 1376 - 1369 - 1374 + 2*y**2.\nAnswer: 2*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 86 - 81. Solve 0 = o*r - 3*g - g - 1, -3*r + 3*g = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015842243169 to seven decimal places.\nAnswer: -0.0001584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/580 or 1?\nAnswer: -1\/580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6628812 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 5. Let b be (0 + 12\/(-2))\/(-1). Solve -o = m*o - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14183734022 to the nearest 100000.\nAnswer: -14183700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 40*a**4*p**2 + 7*a**3*p**2 + 330*a**3*p - 100*a**2*p**2 + a**2 + 4*a + 4*p**2 + 212 wrt a.\nAnswer: 960*a*p**2 + 42*p**2 + 1980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -84061 greater than -84595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 842443 is divided by 1958?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - t - 7, -3*p + t = -8. Let g = 6 - p. Let n = -0.2 - 0.8. What is the smallest value in g, -3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -7. Let y = -358.78 - -355. Let b = y + 4.68. What is the second biggest value in 0.2, b, -0.3, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1730, -6657, -14916, -26513, -41454?\n\"Answer: -o**3 - 1660*o**2 + 60*o - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/21 + 744\/84. Calculate the highest common divisor of a and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 611, 2430, 5469, 9722, 15183, 21846?\n\"Answer: -v**3 + 616*v**2 - 22*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 0, 1943, -3, 2, -5, 5.\nAnswer: -5, -3, 0, 2, 5, 31, 1943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(346*q - 505*q - 298*q)*(0*q**2 + 5*q**2 - 4*q**2).\nAnswer: -457*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-17) + 54\/119 + -1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 4*t + 735 + 209, -3*t - 6 = 0. Calculate the greatest common factor of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 5*q + 3. Let s(x) = 11*x + 7. Let y = -7 - 2. Determine y*b(m) + 4*s(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32143495*k**2 + 4176*k - 27175 wrt k.\nAnswer: -64286990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (7 - (2 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 + 4195*h**2 + 686840*h.\nAnswer: 5*h*(h + 223)*(h + 616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 768927*2.8\nAnswer: 2152995.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -1\/3  (b) -2506  (c) 0.2  (d) -4  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3741 less than or equal to 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 227, 288, 349, 410, 471?\n\"Answer: 61*o + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 118*f**2 + 127*f - 6 - 116*f**2 - 97*f to the form m*f + h + q*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**4 - 2*i**4 + 3*i**4)*((-3 + 3 + 2*i)*(-4 + 3 + 3) + 319*i + 26*i + 154*i) - 2*i + 2*i - i**5.\nAnswer: 1508*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 + ((-714)\/(-3) - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/944 and 105\/232?\nAnswer: 27376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.66 - -4843?\nAnswer: 4846.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.2 - -0.2. Suppose -4*w + 11 = -r, 5*w - 12*r + 7*r = -5. What is the smallest value in d, -8, w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**5 + 8*s**4 - s**3 - 41*s**2 + 28*s - 17. Let a(z) = -z**5 + 2*z**4 - 10*z**2 + 7*z - 4. Let k(x) = -18*a(x) + 4*b(x). Factor k(c).\nAnswer: 2*(c - 1)**4*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204312 (base 5) in base 15?\nAnswer: 69c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 6:01 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2445, 8918, 19475, 34122, 52865, 75710, 102663, 133730?\n\"Answer: y**3 + 2036*y**2 + 358*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 plus 8813324?\nAnswer: 8813323.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + 69*p + 365 = 2*v, 15 = v - 3*p - p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 1920.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n**3 + 2*n**3 + n**3)*(760*n - 40*n + 943*n).\nAnswer: -3326*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 14, g: 1, s: 5}. Give prob of picking 1 s, 1 g, and 1 f.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 324305.56 and -3.\nAnswer: 324302.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a740 (base 14) to base 10.\nAnswer: -28868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 AM and 12:34 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 58\/3*b**3 + 0*b + 39\/4*b**4 + 0*b**2 + 7. What is the third derivative of t(d) wrt d?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 189 - 219. Solve -5*y + 1 = -s*y + 2*k, 4*k = y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**6\/2520 - x**5\/84 + 25*x**4\/168 - x**3\/6 + 15*x. Let z(n) be the second derivative of u(n). Factor z(a).\nAnswer: (a - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 99*k**2 + 29*k + 57. What are the prime factors of x(-4)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1366 divide 789436967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 270*h*k*m**2 - 3*h*k*m + 5*h*k - 5548*h*m**2 - 2*h*m + 2961797*h + 2*k*m wrt m?\nAnswer: 540*h*k - 11096*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3516\/22 + (-10)\/(-55). Let r = -217 + 105. Let k = r + n. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 6 - (-1 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10478 or -10582?\nAnswer: -10582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 18*j - 617. Determine t(44).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -91, -8, -5 in increasing order.\nAnswer: -91, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -269141 - 28.627.\nAnswer: -269169.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*s**2 + s**3 + 33*s**4 + 3*s**3 - 37*s**4.\nAnswer: -4*s**2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7281039304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 1681?\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197102 - 6.\nAnswer: -197108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/2085507 and -25\/6?\nAnswer: 4171014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -4*a**4\/3 - 5*a**3\/2 - 20*a + 10. Let x(j) be the first derivative of c(j). Find the second derivative of x(n) wrt n.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/32 and 6 - 375\/(-87)*30\/(-48)*2?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124340, 497305, 1118914, 1989167?\nAnswer: 3108064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 259287037 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.10576 hours in nanoseconds?\nAnswer: 11180736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2893702 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -37, -76, -107, -124, -121, -92, -31, 68?\n\"Answer: d**3 - 2*d**2 - 40*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1  (b) 0.2  (c) -92634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -60 - -542\/9. Let n = -26 + 25.8. Which is the second smallest value?  (a) -4  (b) u  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -16.9. Let a = 0.899995 - p. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l + 1 - 24*l - 3*l + 38*l - 21*l.\nAnswer: -22*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**6*v**(-6\/7)*v)\/((v\/v**(-22))\/(v\/((v\/(v*v**(1\/3)))\/v*v))) assuming v is positive.\nAnswer: v**(-305\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21177634 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 8:48 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4513, -9025, -13537, -18049, -22561?\nAnswer: -27073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 3, 23, -4 in ascending order.\nAnswer: -13, -4, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -539852 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (10 - (-3 + -1 + 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 + 7*m**2 + 4 - 3*m - 6 + 3. Is s(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + -2 + 52\/22. Let r = x - 49\/44. What is the second biggest value in -1\/4, r, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l**2 - 3*l - 4. Does 28 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**2\/2 + 2. Let q(i) = -32*i. Give f(q(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9480 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 545987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4*r + 3. Let s(p) = -5*p + 2. Let c be 24752\/588 - (-2)\/(-21). Let y = 44 - c. What is y*s(x) - 3*h(x)?\nAnswer: 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((820\/90)\/(6\/(-36)))\/2*3\/(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6696727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 288115 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -7*j**2 + 281*j + 87. Let u be i(40). Solve u - 143 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 0.4, -2, 5\/42, -4\/5 in ascending order.\nAnswer: -2, -4\/5, 5\/42, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -12834 divided by 18?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*z = -8, -6*z = -2*z + 8. Let d = 1\/295 - -58\/295. Which is the nearest to d?  (a) 0.3  (b) t  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 7*i - 12. Let y(w) = 1. Let j = 51 + -47. Let f(s) = j*y(s) + t(s). What is the derivative of f(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4735 + -4670. Which is smaller: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}