diff --git "a/data/dm_maths/full_data_1/10282_11255.jsonl" "b/data/dm_maths/full_data_1/10282_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10282_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n be (-141)\/9 - 2\/((-12)\/10). Let w be (5 + n)*3\/(-36). Let l be (-4)\/6 - 21\/(-45). Sort l, w, 4.\nAnswer: l, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384893336281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (0 - 11)) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 13 - 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/2027 - -28261\/79053. Are f and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03627 or 0.2558?\nAnswer: 0.03627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 3*i + 0*i + i**2 + 6*i + 3. Find the common denominator of (-4)\/10*4150\/40 and d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a444 + 1?\nAnswer: -1a443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, g: 4, t: 2}. Give prob of picking 1 v and 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 4. Let u(z) = -z. Calculate u(b(s)).\nAnswer: -3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/15))**(-31))**(2\/33) assuming k is positive.\nAnswer: k**(-124\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2935\/11 + -267. Let y = -5 - -7. Which is the closest to 1\/4? (a) y (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -u - 3 + 5, 10 = 5*u + 2*l. Suppose 4*n + 4*q - 488 = 0, u*n - q = 6*n - 479. What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1073, 20313, -3, 2.\nAnswer: -1073, -3, 2, 20313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*n + 4*n. Let z = -1 + -4. Calculate the smallest common multiple of n and (3 + z)*1 + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1164321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379 + -228. Let y = z + -89. Suppose d = h + 18, 3*h + 5 + 1 = 0. Calculate the remainder when y is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -29. Let r(v) = 2*v**3 + 18*v + 4*v**3 - 10 + 0*v**3 - 5*v**3 - 15*v**2. List the prime factors of r(h).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71156218 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/629, -0.5, 2\/3, 1, -4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from innniiniiiin?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let g(r) = r - 12. Let w be g(11). What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 5f1?\nAnswer: -5f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*1*sqrt(187)*-4)\/((sqrt(99) + (5*(sqrt(99) + (sqrt(99)*-2 - sqrt(99))) - sqrt(99)))\/(sqrt(900)*1)).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n + 12. Let g(z) be the first derivative of 2*z**3\/3 + 581. Determine w(g(a)).\nAnswer: 46*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23814923 and 627.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.82 in 0, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15358 and 6582?\nAnswer: 46074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -58\/7 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (764497\/(-115))\/(-2*(-1)\/(-5))*2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 13) in base 4?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -144755.7 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 63*c**3 - 20*c**2 - 29*c + 345. Is z(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -300, -674, -1204, -1896, -2756, -3790?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124452 divided by 1.\nAnswer: -124452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.395 + 17.605. Which is the third smallest value? (a) d (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 2*k**3 - 8*k**2\/5 - 88*k\/5 - 96\/5.\nAnswer: 2*(k - 3)*(k + 2)**2*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/11 (b) -3\/8 (c) -0.19 (d) 1.25 (e) -3\/5 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3\/3 + 2*u + 1. Let x be a(0). Let v(q) = -q**2 + 5*q**2 - 2*q**x. Let p(h) = -3*h**2. Give v(p(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -17*w**4\/24 - 11*w**3\/6 - 7*w**2 + 3*w. What are the prime factors of j(-44)?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (598\/104)\/(1\/4). Suppose -u*f = -17541 - 1756. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*z + 183 + 3, 2*z - 174 = 2*p. Let w be (-12)\/p - (-11336)\/30. What is the common denominator of -109\/22 and (w\/(-18))\/((-22)\/1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/17 + 4904*d**4\/17 - 34248*d**3\/17 + 2588*d**2 + 34250*d\/17 - 48900\/17 = 0?\nAnswer: -1, 1, 2, 5, 2445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339 and 12437797?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 6. Let o = 22 + -22. What is x(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oboobbb. What is prob of sequence boo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/((-5)\/(-1)) + 4 + 4340. Suppose 2*r + 5721 = 3*w, r - 1379 = -3*w + q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -34, 69\/4, -2\/11, 0, -4, 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(33) - 2*sqrt(33))*3)\/(-2*sqrt(48)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4018 and -85\/23284702.\nAnswer: 954672782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 54.98532ns?\nAnswer: 0.0000000000152737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1207\/44 - 156\/11. Let l(k) = -4*k - 26. Let u be l(-13). What is the common denominator of 10\/(-35)*u\/8 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1267)\/4410 - 10\/180. Let c(l) = -2*l + 1. Let x be c(1). Is x at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 127\/2. Let c = -68 + 36. Let x = f + c. Solve -x + 7 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.006 + -0.446. Let g = s + 32.44. Let l = g + -31. What is the third smallest value in l, 0.1, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 11 + 0 + 4 - 1. What is the units digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-12)*(156\/35)\/13?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(2*sqrt(12)\/sqrt(2)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8667 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (812 - 800) + -5 + -78?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*1014\/104?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 175 + -157 + 10\/1. Solve -h = 6*h + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 12*p = -12. Let j(m) = 11*m + 103. Let i be j(p). Which is bigger: -28 or i?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-9))**(-12\/13)*i**21*i**(-5)\/i assuming i is positive.\nAnswer: i**(75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r - 2*b, -5*b + 10*b = -5*r + 25. Suppose -4*i = -r*i + 31. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + 3.89. Let y = -0.9 + 1. Which is the closest to 1\/4? (a) v (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1971*t**3 - 11*t**2 + 18*t + 1. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/18 - 7\/18. Let j = -0.51 - -0.3. Let n = -0.11 - j. Is n greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -762*m**5\/5 - 5*m**3 + 9*m**2\/2 + 110. Find the third derivative of y(o) wrt o.\nAnswer: -18288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(576)*5)\/(sqrt(108) + 1*sqrt(108) + sqrt(108) - sqrt(12)).\nAnswer: 21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o - 5*f, -4*o - 3*f + 1 = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 4*v + 214, 2*u - 4*v = 116. Is 66 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010111011111100 - -1001?\nAnswer: -10000010111011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v)*(0 + 0 - 2*v) + 11*v**2 - 22*v**2 - 7*v**2 - 2*v + 2*v + 6*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4\/3 - 749976*y**3 - 6749836*y**2\/3 + 2999904*y + 8999760 = 0?\nAnswer: -3, -2, 2, 562485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.65336 kilometers to nanometers.\nAnswer: 17653360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 2*g - 5299 = 0, -3*g = -9. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 24871866.\nAnswer: 2\/12435933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.074. Let z = -0.18 + d. Let a = z - 0.219. Round a to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/36 - 11)\/(15\/4).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/27 and -73\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.7 (c) -3\/7 (d) 0.3 (e) -20.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31398.93 times -0.1?\nAnswer: 3139.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31241*a + 2311758. What is s(-74)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 36. Let i(s) = -13*s - c*s + 4*s + 3*s. Let n(a) = 2*a. Give i(n(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -728*j**2 - 65*j + 715*j + 571*j**2 - 715*j**2 + 223*j wrt j?\nAnswer: -1744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + -169. What is the common denominator of (10\/4)\/(x\/161) and 107\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/360*-4)\/(184\/(-34776))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114997, 115696, 116845, 118432, 120445, 122872, 125701, 128920?\nAnswer: 132517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 358578 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 408 = 0. Calculate the remainder when t is divided by ((-9)\/(-2))\/(9\/54).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and 71\/973974.\nAnswer: 2921922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 3*d**2 - 5*d**2)*(5*d + d - 5*d) + (-4*d + 4*d + d**2)*(0*d - 3*d + d) - 2*d**3 + 0*d**3 + 6*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:46 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14605310*f*z + 3*z - 1023713 wrt f.\nAnswer: 14605310*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 14*k + 43 - 43.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8350 (b) 0.3 (c) 17\/6 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 267*r - 15. Let s(p) = -2669*p + 153. Give -51*c(h) - 5*s(h).\nAnswer: -272*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8944)\/(-70434))\/(4\/(-7))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 4*b + 2. What is y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1\/4, 4\/9, -2\/11, -16 in decreasing order.\nAnswer: 5, 4\/9, 1\/4, -2\/11, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33372805 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and -0.2?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, -4.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 148351*v\/2 + 222531\/2.\nAnswer: -(v - 74177)*(2*v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/5)*n)**(-10)*n**20\/((n**(-20)\/n*n)\/n) assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 23 + -2 + -9 + 1 + 3 - -32?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8 - (-24 + 23)) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {z: 2, w: 4, c: 1, u: 2, i: 2, h: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11820 and 2327460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268 less than -45696704?\nAnswer: -45704972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 1307108.\nAnswer: -17\/1307108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1850965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:35 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080291482.\nAnswer: 2, 540145741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 17 + 2 = -4*d, -4*m + d + 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(16\/7))**(-17\/5) assuming m is positive.\nAnswer: m**(-816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 11, -13, -19, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -335, 1, 143, 4, 0.\nAnswer: -335, 0, 1, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5856 - 3357 = 135*h - 978 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/((7\/7)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjsvtmb. What is prob of sequence tj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503191?\nAnswer: 17, 88423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -793, 4 in descending order.\nAnswer: 38, 4, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 - 195*x**2 - 339*x - 33. Give s(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h. Suppose 255 + 145 = l - 5*a, 4*l + 3*a - 1646 = h. Suppose -2*m = -4*m + l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480824*r**2 - 29970*r - 26 wrt r.\nAnswer: 961648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + 20*d + 23. Is r(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - (-38)\/6. Suppose 0 = 3*t - 4*g - 1, -5*t - 3*g + 20 + 30 = 0. Let i(n) = -9*n**2 - 6*n. Let r(b) = 8*b**2 + 5*b. What is d*i(z) + t*r(z)?\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31569*z**3 - 62091*z**2.\nAnswer: 189414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 70 = -3*w + 2*z, 0 = -4*w + 5*z + 91. What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10042 divided by 4?\nAnswer: -5021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**2 + 9*z - 11. Suppose -6*c = -17*c. Let u(r) be the second derivative of -3*r - 5\/2*r**2 + 2\/3*r**3 - 1\/3*r**4 + c. What is 3*s(o) - 7*u(o)?\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-116800)*-32*20\/(-6).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4764.4 - -4764. What is the fifth biggest value in 3\/10, -2, c, -20, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*t**2*z**3 + 341*t**2 - 3*t*z**4 with respect to z.\nAnswer: 126*t**2*z**2 - 12*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/44 and 93\/160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2319\nAnswer: 1\/2319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 36*z = -333. Let w(n) = -2*n**2 + 79*n + 48. What is the hundreds digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*b + 1766 = -258 - 6040 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 6*s - 2. Let i(l) = 13*l - 11*l**2 - 2 - 5 + 7 - 5. Suppose -5*r + 5*c - 40 = 0, 4*r + 5*c + 25 = 2*c. Calculate r*p(q) + 3*i(q).\nAnswer: 2*q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 + 7*z**2\/2 + 3*z - 2. Let q be g(-7). Suppose q*j + j - 88 = 0. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 231*c**5\/20 - 805*c**3\/6 + 406*c**2. What is the derivative of w(j) wrt j?\nAnswer: 1386*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15*y**2 + 2*y + 4. Determine j(4).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. Let h be ((-4)\/(-32))\/(-1*(-1)\/6). Put 2\/17, o, h in decreasing order.\nAnswer: o, h, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 26 + 177 + -223?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 342 + 194. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*k - a, 25*k - 26*k - 15 = 4*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86663, -173069, -259473, -345875, -432275, -518673?\nAnswer: -605069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 260*i**4 - 255*i**3 - 5*i**2 = 0. What is i?\nAnswer: -1\/52, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 39. Suppose 1 + j = 2*x, 5*o = -4*x + 88. Suppose o*g = 17*g - 17. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzbbzbzbh. What is prob of sequence bzzb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = -5*l - 419. Suppose -11*g - l*g + 5865 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2428354247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:48 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 3*x**2 + x - 5. Let h be r(4). Suppose 9 = 2*q - h. Solve 3*v - 9 = 2*f, f + f - q = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3433 - -23?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + 19*d**2 - 5*d**2 + 19*d**2 in the form c + p*d + l*d**2 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 17 - 23*f + 84 - 17.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d. Let u(f) = 2*f**2 + 2*f - 16. Let p be u(-4). Let o(s) = s - s + 7*s + p*s. Give y(o(j)).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.38 - -4.18. Let a = -5\/109 - 133\/1853. What is the second smallest value in q, -0.4, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4033, -4032, -4031?\nAnswer: -4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*h - 21, h - 5 = r + 5*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)*m*m\/m**(4\/3)*m*m*m**(-1\/4)*m**(-6)*m assuming m is positive.\nAnswer: m**(-167\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5360226*o**4 - 16*o**3 - 4815*o**2 - 116668*o?\nAnswer: -128645424*o - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14540, 29096, 43652, 58208, 72764?\nAnswer: 87320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 14*l + 31 = 13*l + 48, -17*l + 69 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28677 and 726?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 + 32 = 0. What is the second biggest value in 4, 1, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/5 - 34*o**2 - 3526*o\/5 + 3698\/5 = 0. Calculate o.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 291 divided by -13532\nAnswer: -291\/13532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y**(7\/5)*y))\/y))**(-28)\/(y*y**(-3))**(-2\/11) assuming y is positive.\nAnswer: y**(-5256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*o + 9, 43*o = 232*j - 237*j - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 96459*i\/5 + 192914\/5.\nAnswer: (i - 96457)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 4, 8 = -2*w + 4*n. Solve -p - w = -3*m, 15 = 4*m + 3*p + 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4\/9 (c) 4 (d) 3.44 (e) 0 (f) -2\/141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1825999*c**2 + 4*c - 4*c + 1825990*c**2 - 3651978*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(84)*-6)\/(4*sqrt(300) - sqrt(300) - sqrt(12) - sqrt(12))*-1*2.\nAnswer: -48*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2437?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(8\/14)\/((-306)\/(-714))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247914.1 or 28?\nAnswer: 247914.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757 divided by -569?\nAnswer: -2757\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63146, -62243, -61340, -60437, -59534?\n\"Answer: 903*i - 64049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1683, -1698, -1713?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 58*g. Let o(u) = 9*u**2. Give j(o(h)).\nAnswer: 522*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10 - 2*n - 3*n + 4*n + 2. Let x be f(-6). Let z be (-2)\/(-8) - (-2)\/8. What is the nearest to x in 4, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 12954.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - b - 3*b + (4 + b - 4)*(3 - 3 - 1) - 2 + 2 - b - 4193*b - 4440*b + 842*b as d*b + g and give d.\nAnswer: -7792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 15 = -s, 2*h - 4*s = s - 35. Let r be (-52)\/16 - 1\/(-4). Let t = 0 + r. What is the third biggest value in -1\/4, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 5.6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 112*i - 112. Suppose -b - 2 = 2*v, -3*v + 4*b - 184 + 203 = 0. Give o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 29.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -614 - -609. Suppose -11 = -4*t - 3. Let n(s) = 1 + 3*s - 4 - t*s + s**2 + 5*s. What is n(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:16 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26843861 is divided by 16830?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 360*s**2 + 69*s + 1. Let j(o) = 241*o**2 + 49*o + 1. What is -5*c(d) + 7*j(d)?\nAnswer: -113*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, -45\/8, 0.3 in descending order.\nAnswer: 0.3, 2\/7, -1, -45\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w**5\/5 - 146*w**4\/5 - 82*w**3\/5 + 246*w**2\/5 + 26*w\/5 - 4 = 0. What is w?\nAnswer: -5, -2, -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(10\/165). Let y(n) = -14*n**2 - 9*n - n**3 - 16 - 35*n**2 + 83*n**2 - 22*n**2. Determine y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-69)\/138)\/((-4)\/(-8)))\/(2\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18353 + 9340 + 2*u**2 + 9013.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/7? (a) 2\/3 (b) 1 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 20 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 37494.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 980562916*w\/7 - 120187954029302882\/7.\nAnswer: -2*(w - 245140729)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-74 + 49)) + 34\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/27)\/((1 + (-18)\/8)\/(132075\/(-774840))).\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/4 + 4*h**3 + 6*h**2 - 3*h + 449. Give l(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*h - 122, -h - 11 = f + 48. Let r = h + 108. Suppose 2*t - 5*b - r = 62, 2*t + 3*b - 78 = 0. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8334 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 850 = -0*r. Let v be (2\/(-5))\/((-5)\/r). Let c = -35 - v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73059059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/((-1)\/6). Suppose -2*w + w + 20 = 0. Suppose -y + w = 4*y. Solve y*j + j = -u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84183510 by 298.\nAnswer: 282495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 35 = 4*b - 6*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43618 and 15633?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, d: 6, z: 3, e: 3, n: 1, j: 1}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4166 - -929021\/223. Which is the second smallest value? (a) 0.5 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/2)*a))**36)**48 assuming a is positive.\nAnswer: a**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2055, -17787, -60697, -144375, -282411, -488395, -775917?\n\"Answer: -2265*l**3 + l**2 + 120*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76393572, 152787148, 229180724, 305574300, 381967876?\nAnswer: 458361452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032 to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/28*(-490)\/(-280).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 0.11297?\nAnswer: 0.135564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*g - 18555 - 10539 = 0. Solve 0 = -2*n + 5*h + 29, g*n + h - 3 = 74*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000100011011111 (base 2) in base 11?\nAnswer: -658576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - f + 5*g = -6, 0 = 5*f + 4*g - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 33658496?\nAnswer: 302926464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((5 - -8) + -8 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/160 - (-8)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183234 (base 10) in base 12?\nAnswer: 8a056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**5\/20 + f**3\/3 + 3*f - 2. Let r(m) be the first derivative of g(m). What is the second derivative of r(t) wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2745.721 and -2290681?\nAnswer: 2293426.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 + 24*h**2 + 14*h - 17. Let k(a) = 2*a**3 - 8*a**2 - 5*a + 6. Give 17*k(y) + 6*n(y).\nAnswer: -2*y**3 + 8*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.4574 * 713\nAnswer: -1039.1262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) -27 (c) -1 (d) -0.1962 (e) 1\/2 (f) 1 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1161 and 23\/45.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 10*q - 13. Let n be o(11). Let f(z) = 1. Let x(g) = 6*g + 4. Let d(b) = -2*f(b) + x(b). Give d(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0632 - -0.0368. Suppose r + r - 5 = 3*p, -3*r + 13 = p. Which is the nearest to x? (a) -3\/5 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.823094598 rounded to 3 dps?\nAnswer: -10.823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a decade?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 161 = -174. Let d = i - 56. Suppose -4*g - d*r + 7*r - 52 = 0, 2*g + 5*r = -35. Which is greater: -8 or g?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - -12020?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10423 (base 6) in base 12?\nAnswer: a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 64 = 2*b, b - 2*n + 57 = -6*n. Let w = b - -94. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.432788 millilitres to litres.\nAnswer: 0.000432788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/(-110) + (-10)\/(-4). Factor -28 + 0*w**p - 424*w + 4*w**2 + 400*w.\nAnswer: 4*(w - 7)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -42*n - 36. Let d(s) = -11*s - 47. Let a(g) = 5*g + 21. Let y(k) = -9*a(k) - 4*d(k). Give -l(i) + 36*y(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -16*u**2 + 0 + 0*u - 5\/8*u**4 + 16\/3*u**3. What is the first derivative of q(h) wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905960354 a multiple of 1512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.59 - -0.5899836. What is w rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2060670 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(59850\/7623)*10\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 904 + -564. Suppose u - r = -3*t + t, 3*t = 3*u - 1047. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let g = -10 + 10. Calculate the lowest common multiple of (9 + -5)*(f + g) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f - t, 2*f + t = 0. Suppose -o - 4 = f, 5*i + 2*o = -3*o + 33295. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59733, -119476, -179225, -238980, -298741, -358508, -418281?\nAnswer: -478060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1730\/(-3330) - (-28)\/126. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(44 - 9933\/215).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -328 - -329. Which is the nearest to t? (a) -20 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - 42\/8. Let n(h) = -h**3 - 5*h - 3. Let v(j) = -j + 3*j + 2 - 1. Give i*v(g) - 2*n(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 311032?\nAnswer: -311033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2652*p - 365970. Calculate b(138).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 726772307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/5 - 229*y**4\/5 - 21392*y**3 - 317864*y**2\/5 + 427824*y\/5 + 255024 = 0. Calculate y.\nAnswer: -230, -3, -2, 2, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -1\/30*s**6 + 1\/4*s**4 + 0*s**5 + 2*s + 0*s**2 + 0 + 1\/3*s**3. Factor r(o).\nAnswer: -o*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -72.6. Let q = o - -9.4. What is the nearest to 1\/3 in 9, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n + 10 = 107*n. Put -71, n, 1\/4 in descending order.\nAnswer: 1\/4, n, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + 4. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279*c**3 + 266*c**3 - 3*c**4 - c**4 + 2*c**4 + 11*c**2 + 2*c**2 to the form t + k*c + h*c**2 + s*c**4 + l*c**3 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jofjwhof. What is prob of picking 1 o and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4030 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44570 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1025376 and 224301?\nAnswer: 7177632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 1639?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkemzzhhhky. What is prob of sequence yk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 26. Suppose -4*n - 3*z = -2*z - v, -5*z - 69 = -4*n. Solve 4*j - n = -4*r, r = 2*r - 2*j + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 50*y**2\/9 - 212*y\/9 + 80\/3.\nAnswer: -2*(y - 20)*(y - 3)*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + 4*d + 4. Let k be 369\/33 - 12\/66. Suppose -30 = -r + k*r. Is i(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/39677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399123718 divided by -4245997.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/22*6\/(-3). Which is the fourth biggest value? (a) q (b) -3 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - -73) + -111 - -24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1023? (a) -2 (b) -0.1 (c) -0.16 (d) -2\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 4*r**2 + r**2 + 204 + 4*r**2 - 2*r**2 - r**2 + (2 - 4 + 0)*(3 + 2*r**2 - 3) + (r - 1 + 1)*(3*r - 4*r - r) - 1 + 1 - 2*r**2.\nAnswer: -9*r**2 + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 4, -4.\nAnswer: -11, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + (11 - (-6 + 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111.7088 meters to millimeters.\nAnswer: 111708.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79692 by 29.\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6602056?\nAnswer: 2, 877, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sass when four letters picked without replacement from {a: 15, s: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 9?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/4? (a) -3 (b) -1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 3b0?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/424*(-20)\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 4*p - 9. Let x(v) = -2*v**3 + 2*v + 5. Calculate -2*t(g) - 5*x(g).\nAnswer: 2*g**3 - 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 6\/13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by 488533.\nAnswer: -553\/488533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211415 is divided by 1521.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r + y + 493, -4 = 4*y. Let c = r + 293. What are the prime factors of c?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.1. Which is the nearest to 1? (a) j (b) 1 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 2*k - 67 = 115 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(-26)\/1040*10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g - 6. Let o be x(-5). Suppose 0*d = o*d. Sort 4, 3, d in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103\/300 + 1\/100. Suppose -133*r - 23 = -289. What is the second smallest value in 0.3, d, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) -1\/9 (c) 75 (d) -5 (e) -12\/701\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5799053, 5799021, 5798989?\nAnswer: 5798957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 13 + 30 + 1146*p - 17.\nAnswer: 1151*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403147.8*-16.\nAnswer: -6450364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose k*g = 3*g + 2720. What is g rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.85 * 0.9.\nAnswer: 16.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 - -299. Let t(m) be the second derivative of 9*m**5\/20 - m**3\/3 + m**2\/2 + m. What is the least common multiple of d and t(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 + 3. Let s(c) = 3*c. Let j be s(1). Let v be z(j). Let f(y) = -y + v*y - y. Calculate f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30615547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122246483\/360 + -339574. Find the common denominator of b and 103\/900.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/(110\/(-30) - -4). Suppose 0 = 4*m + 2*o + 4, 0*m + 3*o = 4*m - 6. Solve -j*k = -m*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:01 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(13)*4.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -8 - 5. What is the greatest common factor of z and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*q**4 + 791*q**3 + 44054*q**2\/3 - 161444*q\/3 - 28120\/3 = 0. Calculate q.\nAnswer: -74\/5, -1\/6, 10\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532185349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/9 (b) 2892 (c) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let g(p) be the second derivative of p**3\/2 - p**2 - 18*p. Let q = 10 + -7. Let h(c) = -4*c + 3. Let s(d) = q*g(d) + 2*h(d). Calculate z(s(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 3, 1, -2, -4, -57, 4 in decreasing order.\nAnswer: 4, 3, 1, -2, -4, -57, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 15. Find the second derivative of 5*x + 24*x**b - 21*x + 40*x**3 - 40*x**3 wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 402680.7 to the nearest one thousand.\nAnswer: 403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*y + 298, -2*y = -3 - 1. Let v = 104 - s. Solve 4 = -t - v*z + 7*z, -3*z = 2*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 139*p**2 + p + 126. Let h(s) = -s**2. What is c(h(j))?\nAnswer: 139*j**4 - j**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89278 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 9 - 3 - 2 - 1. Give w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from brtybtbrbyrbffrbbdbr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -654501 and 2.1.\nAnswer: -654498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 16)*(-2 - 4*x**2 + 0*x**2 - 1).\nAnswer: -64*x**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 5*d - 7. What is x(8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 17898 = -21*m. Let a = m - -14206. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27749930 divided by 4?\nAnswer: -13874965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**17*(i*i\/(i*i**(-4)*i))\/(i**0*i)*((i\/i**(-1\/2))**(3\/10))**18 assuming i is positive.\nAnswer: i**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28074299 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0 (c) 3 (d) -12366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1*(-1)\/3. Let h(f) be the first derivative of 17*f**3\/3 + f**2 + f - 6. What are the prime factors of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -164. Let r = u + 88. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 595, 4113, 9997, 18265, 28935, 42025, 57553, 75537?\n\"Answer: 3*a**3 + 1165*a**2 + 2*a - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -294, -442, -616?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 6*m - 1. Let j be v(-7). Suppose -4*s - d + j*d = 5, -3*d + 35 = 4*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t + 749*t**2 + 5 - 2 + 6*t. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/19 - 2*u**3\/19 + 104*u**2\/19 - 88*u\/19 - 192\/19 = 0.\nAnswer: -8, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 587, 1262, 2187, 3362?\nAnswer: 4787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + (-153)\/(-45). Let n(b) = -b + 2 + 0*b**j - 2*b + b**3. Let u = 1 + 1. Give n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p*z**3 - 2*p*z + 2*p - 2568632*z**3 - 107059*z**2 wrt z.\nAnswer: -12*p - 15411792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 3*q + 4*q**2)*(1 + 5 - 4) - 21*q**2 + 19*q**2 - 29 - 46*q + 44*q to f + j*q**2 + p*q and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110022020101 (base 3) to base 16.\nAnswer: 3b218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, i: 1}. Give prob of sequence aj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -273009, -546017, -819025, -1092033?\n\"Answer: -273008*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Suppose 2*g = s + 17, g = 3*s + 5 - 4. Let h(u) = 20 - 20 + g*u**2 - 3*u**2. Give l(h(d)).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 22. Let w = c - -45. Let t be (27\/(-4))\/(2*9\/(-48)). What is the highest common factor of w and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.216 <= -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -44, -55, -66, -77?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20781, 24, -4 in decreasing order.\nAnswer: 20781, 24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183420341 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4734364 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n**2 - 4*n**2 - 31*n**2 - 6*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/3 + n**2\/2 + 3*n + 1. Let i be m(0). Is 7 a factor of 9\/(-6)*(-56)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -148*n + 1. Give b(-1).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 262 = -258 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - 0 - (104 - 102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622615, -622598, -622585, -622576, -622571?\nAnswer: -622570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -70. What is the smallest value in u, 0.17, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:02 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3*(-32)\/(-6))*52\/13.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, e: 8, n: 2, a: 2, h: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/127772 and -47\/82676.\nAnswer: 1405492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 8. Let y(h) = 2*h**2 + 5*h + 5. Let p(v) = 15*v**2 + 39*v + 39. Let i(k) = 5*p(k) - 39*y(k). Determine a(i(m)).\nAnswer: 3*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36997476\/488 - (-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 636626676 a multiple of 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 9. What is the second derivative of -2*y**2 - 3*y + 2*y**2 - o*y**2 wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, 0.263, 13, 33, 12\/5, 0.2?\nAnswer: 0.263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134.2928 and 4?\nAnswer: 537.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -7. Let p(f) = -2*f - 13. Is p(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75*30\/8550)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 62 = -2*h, -3*r + 31 = -2*h - 19. Suppose 0 = -4*v + 4 - 0, 5*q = -4*v - r. Let d(y) = -y**3 - 4*y**2 + 4*y. Give d(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350049343?\nAnswer: 953, 1416631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 29*q**2 + 28*q + 436. What are the prime factors of p(-24)?\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6126 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 42. Let t = 8 - w. What is the second derivative of -450*j**2 + 13*j**3 + 450*j**2 - 18*j + t*j**3 wrt j?\nAnswer: 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - -1 - (-2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -901.\nAnswer: -11713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - o - 56, -5*a - 2*o + 153 + 162 = 0. Is a < 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*k + 4*k**3 - 129*k**2 - 2*k**3 + 476 + 380*k - 455.\nAnswer: 2*k**3 - 129*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*j + 50*j + 89*j - 248. Solve j + 4 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**5\/30 + 7*g**3\/3 - 1. Let f(o) be the third derivative of z(o). Let a(t) = 3*t. What is f(a(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - k = 21, 5*k - 9 = -66*l + 67*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 31 - 20 + 2103*d + 2052*d - 4068*d. Let h(a) = 29*a + 4. Calculate 11*h(y) - 4*t(y).\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2524206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*g + 10*g**2 + 51*g)*(-3*g + g + 0*g) + 6*g**3 - 278*g + 278*g as r + p*g**3 + k*g + l*g**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:28 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k, -2*o = k. Suppose o = -5*y + 5*m + 25, 8*y - 19 = 3*y + 3*m. Let r be (y\/4)\/((-1)\/(-22)). What is the highest common divisor of r and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6153 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggeggggegeeggggggg.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3888 divided by -144.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21120 and 326546.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**2 + 23*z**2 + 81*z**2 to the form p*z + b + a*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1048 (b) -4 (c) -1 (d) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4420 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170429.5ug to milligrams.\nAnswer: 170.4295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/8 + 61*i**4\/8 + 841*i**3\/8 + 2567*i**2\/8 - 105*i - 657\/2 = 0.\nAnswer: -6, -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*70\/504*(-1170)\/(-50)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9472 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21*(-10)\/(-70) + (-1*24)\/4. Which is greater: z or 0.158?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1620 - -356556?\nAnswer: 354636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19130?\nAnswer: 2, 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -62*o**2 + 5*o - 2. Let l(m) = -93*m**2 + 7*m - 3. Suppose 5*b = v - 101 + 68, -b = -4*v - 1. Determine b*q(u) + 5*l(u).\nAnswer: -31*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m + 37*m + 28*m.\nAnswer: 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12322, 24642, 36962?\n\"Answer: 12320*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - 0.242. What is x rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:40 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35096.6 take away 3?\nAnswer: -35099.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(425\/10) + 26\/10. Suppose 5*v - 40 = -3*g, 47 = 5*g + 5*v - f. Solve -g = 3*d - 2*a, 4*d = -0*d + 2*a - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d**2 + 2*d + 2. Let i(n) = -16*n**2 - 3*n - 2. Calculate -4*i(q) - 5*r(q).\nAnswer: -11*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74680.\nAnswer: 2, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (4 - -1 - 10). Let q(r) = -1583*r - 107. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 125. Solve -m + 4 = -4*o, 2*o + 10 = -q*m + 3*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*f - 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -7, 2\/9, 8\/7, 0.3, 39?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(1 + -1)\/6. Let s = -8 + 10. Solve s = -2*u - w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/45 and -32\/99909.\nAnswer: 499545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 74, 30, -52, -184, -378?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/19)\/g)\/((g*g**(2\/7))\/g))\/(g**(-1))**(2\/35))**10 assuming g is positive.\nAnswer: g**(-444\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38013504 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhlllhllllhl. Give prob of picking 1 o and 1 l.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/732*2976*3\/(-12).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 2. Let y be p(-1). Which is the third smallest value? (a) 2 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -202100121?\nAnswer: 202100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 16. Let u be v(10). Let b be 21\/9 + 4\/u - -34. Calculate the greatest common divisor of b and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**4\/3 - h**3\/3 - 546*h**2 - 2537*h. Differentiate u(b) with respect to b.\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -117.1. Let v = -2.41 + 2.81. Which is the third smallest value? (a) v (b) u (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20) - (224\/(-35) + -9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 93\/2 + (-6)\/4. What is the greatest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -77\/9 (c) 11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757.8 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1733985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - p = -p. Suppose 3*l = l + 3*r + 316, p = -3*l + r + 481. Suppose 5*m + 36 = l. What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v**4 - 2\/5*v**5 + 0*v**3 + 0*v - 3 + 1\/2*v**2. Find the second derivative of m(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -4, 393, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3484*o - 16126. What is c(-6)?\nAnswer: 4778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 16*w**2 + w - 17. Let v be p(16). Let q be (v\/(-3))\/(2 + -1). Which is the nearest to -4? (a) q (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 17*u**2 - 14*u - 25. Let b be v(16). Solve 15 = b*z - 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866\/11 smaller than 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2105 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*i = -5 - 3, -3*s - i + 13 = 0. Solve 0*y + s*y = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (23 - 2) - (1 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 + 2*a - 1. Suppose 0 = -5*x + 14 - 4. Let c be u(x). Suppose -3*l + 3 = -c. Calculate the highest common factor of l and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.752 - 2.03. Let h = -0.2145 - x. Let i = h - 0.05. Round i to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*1)\/sqrt(2))**2 + (-5 + sqrt(175) + -1 + sqrt(175))**2.\nAnswer: -120*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8737 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*i - 9, -c - 3*i = -5*c + 7. Let h(l) = l**3 + 3*l**2 - 2*l - 4. Let z be h(-3). Let u be 9*3\/(-18)*z. Sort -2, u, c in increasing order.\nAnswer: u, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111 + -12?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (-3 + 12 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47234843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 852933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 16*x**3 - x**6 - 13*x**4 - 3 - 11*x**2 + 4*x + 28\/5*x**5. Solve o(r) = 0 for r.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -99, -102?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*n + 4*n - 2*d, 3*d - 15 = 0. Does 18 divide n - (-4)\/(-8)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30255195.\nAnswer: 3, 5, 149, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/17 - 395112\/(-1737604)\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v**2 + v + 12. Suppose 65*b - 5*c - 54 = 63*b, 2 = -c. Calculate the least common multiple of r(0) and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348315 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/304)\/((-2)\/(8\/(-2))).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/2 - 195*f\/2 + 918 = 0. Calculate f.\nAnswer: -204, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.255 - -0.255. Let c be (-10)\/8*13\/(-65). What is the closest to q in 0, c, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 61*m + 4 + 0*m.\nAnswer: 61*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -7, -5, 5, -8, -2 in descending order.\nAnswer: 5, -2, -5, -7, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z**2 - z + 17. Let f be p(-4). Suppose 330*m + 7293 = f*m. What are the prime factors of m?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + sqrt(99)*4 + sqrt(99))) + sqrt(99))\/sqrt(11))\/sqrt(3).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 0.1, 0, -1, -1\/2, 172211?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 6. Suppose -2*x = u*x - 80. Suppose 0 = 4*f - 17 - 27. Calculate the remainder when x is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a factor of 236204730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*l + 147*l = -10. Suppose -3*i = l*n + 51, -3*i - 11*n - 27 = -14*n. Which is the second biggest value? (a) -2 (b) -1 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 35\/(-14))\/((-3)\/23934) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**3 - 9*b**2 - 1147*b + 78. Let z(q) = 8*q**3 - 4*q**2 - 574*q + 36. What is 6*d(i) - 13*z(i)?\nAnswer: -2*i**3 - 2*i**2 + 580*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/534285 and 133\/12110460.\nAnswer: 36331380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16617*l**3 + 33249*l**3 - 16612*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 15, 5*y - 7 + 2 = -5*o. Find the second derivative of -17*i + 14*i**4 + o*i + 20*i**4 wrt i.\nAnswer: 408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(2738\/44 + 8568\/6732)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-5 + 3*sqrt(190)*-4)\/(5*(-2*-1*sqrt(160) + sqrt(160))).\nAnswer: -7*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47716 and 6191.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93105 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: Solve -2*b - 511 = 5*m, 5*b = -266*m + 270*m + 422 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 17*y**2 - 4*y - 3. Let k be f(12). Let h = -2691\/4 + k. Is h at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/19 - 231\/152. Let f = x - -55\/24. What is the nearest to 2 in -2\/5, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 54, -3, -992, 1\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:07 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771630401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**8\/1512 - m**7\/189 - m**6\/270 + 7*m**5\/135 + m**4\/36 - m**3\/3 + m**2 - 284*m. Suppose i(b) = 0. What is b?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48c73 (base 13) to base 14.\nAnswer: 36b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 545334, 545340, 545356, 545388, 545442?\n\"Answer: l**3 - l**2 + 2*l + 545332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 5.6. Let j = 1 - 1. Let d be j - ((-22)\/8 + 2). Which is the third smallest value? (a) v (b) d (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130476750 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15809 from -840753.\nAnswer: -856562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103219649?\nAnswer: 3, 7, 83, 70327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 2*j + 97. Let p be (3 - -1)*(-3 - 2*-21). Let o = p + j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:37 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1926 equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034088991 to 7 decimal places.\nAnswer: -0.0003409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6321542 days in weeks?\nAnswer: 0.9474506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 14, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006138365 to seven dps.\nAnswer: 0.0000614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 + 2*p**4 - 8*p**3 + p**3 - 8*p + 10*p in the form g*p**3 + a*p**2 + k*p**4 + d*p + t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(6\/7)\/u))**41*(u*(u\/(u*u**2))\/u)**1 assuming u is positive.\nAnswer: u**(314\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 + 19*w**2 + 26*w - 136 = 0. Calculate w.\nAnswer: -17, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*f**5 - 322018*f**4 - 76160716*f**3 - 6413093712*f**2 - 71240745024*f - 616322304 = 0.\nAnswer: -228, -13, -2\/231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, -3, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 878*p**2 + 37180*p + 403656 = 0. What is p?\nAnswer: -834, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/710, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-19)\/(1862\/(-42))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 126*j**2 - 114*j**2 + 55 + 139*j**2 - 54. Let q be l(-1). What is the greatest common divisor of q and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1711656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13194 + -7797656\/591. Let y = 581\/2955 - l. Which is the closest to 3\/4? (a) 3\/2 (b) y (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 - x. Let w(b) = -37*b**3 - 4*b**2 - 6*b - 7. Let k(v) = -24*v**3 - 3*v**2 - 4*v - 5. Let j(r) = 7*k(r) - 5*w(r). Determine j(u) + n(u).\nAnswer: 16*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 117, 4.\nAnswer: -1, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336048 by 84012.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5535 is divided by 1841?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 53*g**3 + 471*g**2 - 54*g - 11. What is w(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17181 or 19512?\nAnswer: 17181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7585138496 from 0.4.\nAnswer: -7585138495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 7\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:27 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1770318*b**3 + 734*b**2 + 718*b wrt b?\nAnswer: -10621908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -81*r**8\/28 + r**5\/20 - 10*r**4\/3 - 2191*r**2. What is the third derivative of i(y) wrt y?\nAnswer: -58320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 16 + 1. Suppose -q - 112 = -4*j + 3*q, -4*j = -b*q - 116. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*y**2 + 25*y**2 + 275*y - 2 - 275*y in the form l*y + a + u*y**2 and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) 11 (c) 42 (d) 2 (e) -882\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*n. Let j(q) = -8*q**3 + 7*q**2 + 8*q + 6. Let h = 48 - 27. Let w = -15 + h. Let d(x) = -x**3 + x**2 + x + 1. Calculate n*j(b) + w*d(b).\nAnswer: 2*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 9, n: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 695465.3 centimeters in millimeters?\nAnswer: 6954653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -502?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2))**31\/(x**(3\/5)\/x**4) assuming x is positive.\nAnswer: x**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78306326, -156612650, -234918974, -313225298?\n\"Answer: -78306324*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 55746?\nAnswer: -55754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 2. Let p be n(2). Let z = p - -11. Let s = z - 10. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 64. Let o be k(13). Let w be 1*((-14)\/o + 2\/(-12)). Let l be (-21)\/(-5) - (-12)\/15. Sort l, -5, -1, w.\nAnswer: -5, -1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/(-72) - (-4)\/(-18). Let f be 10*((-12)\/(-3) - a). Suppose 2*j = 25 - 1. What is the highest common divisor of f and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -5. Let n = -19\/14 + 55\/7. Is n at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9529, -9530, -9531, -9532, -9533?\n\"Answer: -d - 9528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:58 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3305246 and 15167?\nAnswer: 1728643658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 62. Let y = 115105143\/497 - 231600. Let g = 2\/71 - y. What is the closest to g in -1\/4, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016808129057 to 5 decimal places.\nAnswer: -0.01681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 14*x**2 + 17*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 10. Find c, given that 0*c**4 + 2*c**2 + 15*c - p*c + 6*c**3 + 2*c**5 + 6*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3288 is divided by 181?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/103, -1\/3, 0.5, 15, -26?\nAnswer: -9\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*j + 2*t - 93, -6 = -2*t. What is the remainder when 85 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 5)\/(2 + (-146)\/74) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -671 - -1220. What is the greatest common factor of 61 and s?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63100735 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101409836 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 4*f + 44 = 0, 3*f + 24 = h. Let n be 0 - (1 + 0) - -14. Let w = n - h. Solve 3*s = 2*s - w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwdn when four letters picked without replacement from {v: 2, i: 2, n: 2, d: 6, w: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31, 1.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -670 divided by -4\nAnswer: 335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7917)\/(-120) - ((-10)\/16 - -1). Suppose 3*y - 2*y = 66. Let q = y - x. Is -3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 15. Determine y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18614.\nAnswer: 2, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 21. Give p(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32639 is divided by 10876.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/17 (b) -1.14 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 58 - 1300 + 57 + 1185.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 1. Let m(l) = 11*l + 1. Let s(g) = 6*i(g) - m(g). Let z(v) = -6 - 5 + 2*v + 1 + 0. Let a be z(8). What is s(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 - 301 = -64*b - 901 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0*r*r)\/(r\/(r*r\/r**9*r)))\/(r*r*r\/((r\/r**(3\/2))\/r)*r*r*r**(2\/25)) assuming r is positive.\nAnswer: r**(-529\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - q**2 - q + 1. Let x be i(1). Let k be (-12)\/5 + (6 - 21)\/x. What is the biggest value in 0.8, k, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 149038?\nAnswer: 745190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 6)*(-2)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -0. Suppose s*v - v - 20 = 0. Let c(h) = 2*h - 3. List the prime factors of c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 1114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 37 = 2*d, -5*d - 4*k - 50 - 41 = 0. Let u(m) = 104*m + 1. Let s be u(1). Find the common denominator of 67\/10 and (s\/2)\/(-1 - d).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 976*s + 3879. Calculate i(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*w + 5*d, -2*w - 9*d - 146 = 74*d + 178 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/2 - (-30)\/(-12). Suppose 0 = -2*q, 0 = 5*v - m*v + 5*q - 64. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 12:07 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c - 67. Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:58 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (767 + -770 - (-39 + (-2 - -1)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 - 157. Let q(k) = 38*k**2 - 2*k - 4. What is the tens digit of q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7265, 5, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 16*b - 24. Let s be f(11). Does 12 divide s\/1*988\/(-130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5, 4*f + 0*j + 2*j = 9*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245664561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3257486454.\nAnswer: 2, 3, 542914409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/7 + 2483*d**3 + 75463926*d**2\/7 - 75570732*d + 64787688 = 0. Calculate d.\nAnswer: -8694, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-695)\/15 - ((-26)\/15 + 5052\/2105)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 8*h**2 + 9*h - 5. Let o(k) = k**2 + 13*k + 49. Let y be o(-18). Suppose -2*t - y = -157. Give v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 + 171*b**2\/4 - 432*b - 2460.\nAnswer: -3*(b - 41)*(b - 20)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2)*5 + -2 + (4 + (1*sqrt(50) + sqrt(50))**2 - (sqrt(200) + -3)).\nAnswer: 45*sqrt(2) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o + 1. Let x(h) = -8*h**2 - 4*h - 2. Give 5*c(t) + x(t).\nAnswer: -3*t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 - 8749*k**2 + 17495*k - 8747 = 0.\nAnswer: 1, 8747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 <= 908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.22721777 to four decimal places.\nAnswer: -2.2272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94971259.\nAnswer: 29, 31, 149, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7141 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -x + 2. Suppose -72*h - 2583 = -31*h. Let s = x - h. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4592 = 3*k, n + 181*k - 896 = 186*k. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*t - 10 = 0, 4*i - 2*t - 44 = 46. Suppose 5*z = z + i. Solve -z*o - h - 1 = -7, 5*o = h + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - 70*s + 4. Determine j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2*c)\/c*c)**(-1\/9)*(c\/(c\/(c*c**2*c)))**(6\/7) assuming c is positive.\nAnswer: c**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-57)\/(-1292)*2\/6*-47 and -63\/10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 12 - 16 - 17 - 29*h**2 + 56 to the form g + a*h + k*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 - 2405\/9. Let s = 1\/405 + -40907\/810. What is the common denominator of s and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y - 81569 + 81569 + 1980*y**2 + 28*y.\nAnswer: 1980*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 - 17*c - 2. Let q be j(-5). Let p = -268 - q. Solve i + 2*i - 2*h = 20, p = 5*i - h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.3 + -265.7. Let t = k + 307.1. Sort 2, -17, t in decreasing order.\nAnswer: 2, t, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsmssssmsss. What is prob of picking 2 m and 2 s?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/595 + (38\/323)\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 + 6 = 0. Suppose 5 = -3*k + 14, -2*w - 3 = -3*k. What is the remainder when p is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-160))\/((-27)\/5)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75542.\nAnswer: 2, 107, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -259*m**3 + 18*m**2 + m + 3. Let f(r) = 8*r**2 - 2*r + 2. What is 2*f(b) - g(b)?\nAnswer: 259*b**3 - 2*b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and 24\/1649.\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2378886356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 + 9*t + 9. Let v be 18\/(2 + (-8 - -4)). What is u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*z = 1099*z + 11237 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2908 - -2936. What is the least common multiple of r and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5 + 3. Let c be -139*(7 - (2 + q)). Let n = c + 950. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21) + sqrt(168)\/sqrt(392))\/(sqrt(48) + sqrt(48) + 1*sqrt(48)).\nAnswer: -4 + 2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 1\/5, 28.1.\nAnswer: -0.5, 1\/5, 2, 28.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let j(d) be the second derivative of -6*d**3 + 29*d - 2. Is j(c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121102021212 + -2?\nAnswer: 2121102021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1124.6 + 1.06\nAnswer: 1125.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723 + -541. Let f(y) = -10*y + 2. Calculate the lowest common multiple of f(-2) and s.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in 1\/3, -66, -1\/7, 1\/8?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2. Let n be 0 - (-1 + (2 - 0)). Let v be f(n). Suppose 2*c - 5*c + 96 = v. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by (575\/15)\/(45\/81)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181528 is divided by 956.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1211022?\nAnswer: 1211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.25264592359494.\nAnswer: 0.45264592359494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -27, -51, -85, -129, -183, -247?\n\"Answer: -5*z**2 + z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(209))\/(sqrt(11)*2*5).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228096600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*f**4 + 3*f + 6 - f - 4 + 2*f**3 to u + z*f**2 + w*f**4 + k*f**3 + l*f and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.1 - -48.15. Let j = -8 + d. Let n = -0.15 + j. What is the closest to n in -3, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let f = 0.1 - p. Let k = -12 - -34\/3. Which is the closest to 1\/3? (a) f (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 973 - ((-9)\/(-3) + -7). Let t = 1603 - y. What are the prime factors of t?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*c - 19*c - 22*c + 6*c + 0*c**2 + 2*c**2 as t + y*c**2 + v*c and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1013, 4124, 9309, 16568, 25901?\n\"Answer: 1037*v**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2033127098 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 9 = 0. Solve 0 = -5*x + x - q + o, 0 = -3*x - 2*q + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:42 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 8. Let l be i(-2). Suppose 0 = -4*s + 2*c + 86, -s - 3*c = -l*c - 23. What is the smallest common multiple of 18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 33*l + 244. Calculate h(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -1\/4 (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) - sqrt(5) - sqrt(320)*-2) + -1 + sqrt(45)\/(sqrt(36)\/sqrt(4)) + -3.\nAnswer: -3 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3944*m. Let f(w) = -10*w**2. What is f(b(t))?\nAnswer: -155551360*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 41*a + 10*a - 3708 = 0, -3*a + 8208 = 4*v. Solve -14*g + v - 2142 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 25. Suppose -i*w + 4*q = w + 4, -2*q - 24 = 5*w. What is the smallest value in w, 4, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1249857975*x**4 - 5029622*x + 11?\nAnswer: -14998295700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 5*n - 5*n. Let i = -73 + 45. Let x(j) = -13*j**2. Let q(b) = 72*b**2. Let c(g) = i*x(g) - 5*q(g). What is c(k(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 960 and 120?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3560.19237 minutes to weeks.\nAnswer: 0.3531936875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*q**4 + 39*q**3 - 260*q**2 - 5*q wrt q?\nAnswer: -1656*q + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.11, 2\/7, 0.5 in increasing order.\nAnswer: -0.11, 2\/7, 3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 11*k - 2. Give h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55524652*n*w**2 - n*w - n + 8*w + 72187 wrt w.\nAnswer: -111049304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 2*o - 2 + 3*o + (-2*o + 2*o + o)*(-1 - 4 + 4) - 4 + 4 - o - 68*o + 87*o + 52*o in the form b*o + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2252450.\nAnswer: 2, 5, 19, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53425\/108 - 495. Let r = w + 2\/27. Let k = 0.45 + -0.15. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/12 + m**3\/6 + 49*m**2. Calculate a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-5))\/((-2)\/14). Let y = l - -10. Solve -y*r + 3 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 39 = -8*c, -c + 4*c = 2*g + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20666 and 20?\nAnswer: 206660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9483, 1 in descending order.\nAnswer: 9483, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 15*w - 8. Let n(c) = c**2 - 31*c - 12. Determine -5*b(q) + 3*n(q).\nAnswer: -2*q**2 - 18*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1491 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 134824*v - 134824*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p + 0*p)*(4 - 28 + 11) + (-5 + 14 - 8)*(5*p + 7*p + 0*p).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 975, 1947, 2917, 3885, 4851, 5815?\n\"Answer: -u**2 + 975*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkd when three letters picked without replacement from lakdc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) 7.34899 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3240173804 to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + c = -47, 0 = -5*k - 5*c - 55. Let o = 25 - 6. Let b = k + o. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 153 + 20?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141073 is divided by 855.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*f + 20, 0*x + 4*x = -5*f + 38. Let k(a) = -a**3 + 12*a**2 - 2*a + 33. Let m be k(11). What is the highest common divisor of m and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -44. Let y be (-10 + 4)*i\/(-6). Suppose -n + 30 = 5*j, -5*n + 0*j = 4*j - 45. Solve 0 = 2*t - n*h - 9 + 1, 2*t + 2*h = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 135210?\nAnswer: 135210.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -311\/13 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*p - 3*p + 2*c, 4*c = -4*p + 160. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18938 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r - 3*r**2 + 4 - r - r**3 + 0*r. Let k = -71 + 67. Let c be g(k). Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 - d + 1. Let x be g(-6). Let j = x - 6. Are 1 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/384)\/((-18)\/(-16)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3863 + 6713. Is 7 - 3 - b\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*i - 10, -z + 0*i + i = 7. Let w be -2 + z + 4 - -3. Suppose -6*y - 3 = -w*y. Is -1 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:15 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 720\/5460 + 2\/13\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 27*r - 13. Let v be i(13). Suppose v = -7*u - 9 + 359. Is u a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/28679112 and -113\/1495736.\nAnswer: 659619576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 57*o + 284 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 + 12*n**2 + 9*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3 + 131*v - 2*v**3 - 147*v wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -34. Let u(h) = -17 - 4*h**2 + 3*h**2 - 13*h + h**3 + a*h**2. Let j be u(-12). Are j and -5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 1:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5) - ((-112)\/(-20))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62315, -62303, -62283, -62255, -62219?\nAnswer: -62175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29273, -41202, -53131, -65060, -76989, -88918?\n\"Answer: -11929*j - 17344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.00317 - -0.04317. Round z to one dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30)*-2)\/((-2)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 33*b + 31 = 109 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23567 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0.2 (c) 5\/79 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*62.2.\nAnswer: 18.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -159, -349, -665, -1107, -1675, -2369, -3189?\n\"Answer: -63*j**2 - j - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**3 + q**2 - 2*q - 2. Let l be k(-2). Suppose 2*u = -u + l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2 + (11 - 5). Let b(q) = 3*q**2 - 5*q + 5. Is b(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*w + 35 - 37, -4 = p - 4*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4204 and 372.\nAnswer: 390972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2559, -6764, -18173, -40386, -77003?\n\"Answer: -600*g**3 - 2*g**2 + g - 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6645855*j - 8944970.\nAnswer: -6645855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1565 and 1248392\/(-54462) + (-7 - -30)?\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n**2 - 19*n - 9. Let t(i) = 78*i**2 + 75*i + 39. What is 9*h(o) + 2*t(o)?\nAnswer: -24*o**2 - 21*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(2 - 5) - 2 - 6. Suppose -3*o + 0 = -12. Calculate the remainder when -1 + 1 + 0 - w is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -2) - (9 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 29, 55, 103, 179, 289, 439, 635?\n\"Answer: h**3 + 2*h**2 - 3*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1\/2*z**2 + 10 + 0*z. Let q(w) = 5. Let h(m) = -2*p(m) - q(m). Give h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 84*z**3 + 282*z**2 - 524*z - 720 = 0. Calculate z.\nAnswer: -4, -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(875) - (sqrt(875) + -4*sqrt(875) + sqrt(875))) + sqrt(875) - sqrt(875))*-3)\/(sqrt(50)\/sqrt(10)*2*-4))**2.\nAnswer: 354375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/2 - 9*q**2\/2 + 14*q - 3. Suppose 5*r - 9 = 21. What is the lowest common multiple of 8 and o(r)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3 - p**2\/2 + p - 16. Let q be a(1). Solve -m + 2 - 9 = h, q*h + 2*m + 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-4 + 2))\/(-1). Suppose -2*x - 2 = 3*j - 0, 0 = 4*j + 2*x + 6. Let o = -1 + j. Sort z, 5, o in increasing order.\nAnswer: o, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/280)\/(9\/4*(-6)\/(-108))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-88)*(-152)\/6*(-1380)\/4370?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 119 + 61. Let u be (-117)\/72*-4*2. Let w(s) = -3*s**3 + 39*s**2 - s + 19. Calculate the smallest common multiple of w(u) and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l - 18. What is f(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256157029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-8)\/(44\/(-44))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or 0.0406?\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzbjh. Give prob of picking 1 z, 1 j, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3107321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m - 7*m + 11*m. Let t(c) = 21*c. Calculate w(t(u)).\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwxxwaaxafo. What is prob of picking 2 k and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5089 - 3350. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3426 + -3428. What is the nearest to 4 in 2, 0.3, -3, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590764 to the power of 1\/2, to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 15, 8*q + 17 = r + 3*q. Let b be (3 + -2)\/((-2)\/(-6)). Suppose -b*t + 2 = -r*t. Solve -15 = -g + 5*g + 3*w, -t*g = -w + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 27*z**2 - 56*z - 137. What is the remainder when ((-100)\/6)\/(2\/(-6)) is divided by n(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 262*n**4 - 18*n**4 - 8*n**4 + 6 - 3*n**2 in the form d*n**2 + a*n**4 + u*n + j + q*n**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*g = -11, 0 = 4*q - 0*q - 2*g - 10. Suppose 83 = q*f + m + 93, -3*m - 5 = 4*f. Suppose -b - b - 6 = 0. Sort 1\/5, b, 2\/3, f in decreasing order.\nAnswer: 2\/3, 1\/5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 bigger than -30.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26479.467 seconds to hours.\nAnswer: 7.3554075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/10)\/(x**6\/x)*(x*x**(1\/4))**(-9\/2))\/((x*x**(-1\/4))**(2\/3)\/(x\/(x*x**(2\/5)*x)*x)**(-3\/26)) assuming x is positive.\nAnswer: x**(-1121\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 11*x**2 + 12*x + 1. Determine p(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-222)\/66 + ((-12)\/(-3) - 0). Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, h: 5, m: 1, b: 1}. What is prob of sequence uhm?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -26*g**4 - 4*g - 5. Let y(p) = -p**4 + p - 1. Let u(q) = -t(q) + 5*y(q). What is the second derivative of u(v) wrt v?\nAnswer: 252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175104 - 5444 = 2174*c - 23826 for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -2 (d) -0.081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(1\/(-12)). Suppose 2*p = 5*p. Suppose u + p*u = r. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78830, -157756, -236670, -315566, -394438?\nAnswer: -473280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3*8\/6). Let r(b) be the first derivative of -k*b**3 - 1\/20*b**5 - 1\/8*b**2 - 3\/16*b**4 + 0*b + 2. Find y, given that r(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3662 and -19.9.\nAnswer: 72873.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.01, 5, 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {s: 5, e: 2, j: 3, q: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 35, -5, -3\/7, -22?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89303 - 89301. Suppose 9\/2*n**h - 3\/2*n**4 - 42*n + 15*n**3 - 30 = 0. What is n?\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 24*z**2 - 40*z - 6. Give a(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -960, -4032, -7112, -10194, -13272, -16340, -19392?\n\"Answer: o**3 - 10*o**2 - 3049*o + 2098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 513468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130680 and 605.\nAnswer: 130680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 5588?\nAnswer: 559a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from jejjccljcduj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/2475)\/(336\/(-105))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) 0.2 (c) -136 (d) 9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let o = -1 - -1. Let z = o - 0. Solve z = -0*b + y*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 17*h**2 + 563*h - 7770. Give p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/40)\/(3\/(-1*1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**4\/4 - 73*z**3\/3 + 571*z**2 - 657. What is the second derivative of r(u) wrt u?\nAnswer: 18*u - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**3 + 5*b**3 + 72386 - 72385.\nAnswer: -16*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 - 8. Let o = 0.04 - 0.14. What is the nearest to o in 3\/7, 0.5, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = y - 3, 3*v - 2*y + 0*y + 6 = 0. Suppose -3*o + 49 + 14 = v. Let b = o + -19. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(sqrt(7623) + 2) + (3 + sqrt(7623) + 0 - sqrt(7623) - sqrt(7623) - sqrt(7623))) + -4 + -4)**2.\nAnswer: 34848*sqrt(7) + 1099648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088429107 rounded to seven decimal places?\nAnswer: -0.0000884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1268 or 1267?\nAnswer: 1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26744, -44670, -62594, -80516, -98436?\nAnswer: -116354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i**3 + 34*i**2. Let d(b) = -14*b**2 - 20*b**2 + 9*b**3 + 2*b**3 + 2*b**3. Let g(u) = 5*d(u) + 6*k(u). Find the third derivative of g(z) wrt z.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 144 and 289 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.07 - -13. Let j(s) = -831*s + 21606. Let m be j(26). Let p = -3 - -5. Which is the nearest to p? (a) m (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*v + 19690 - 30184 = 0 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*a**2\/6 + 376*a + 11\/6.\nAnswer: (a + 11)*(205*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8101395 years to millennia.\nAnswer: 0.0008101395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23085 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 12*y + 8*i, -840*i - 7 = y - 841*i for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c - 3. Let x(r) = -r. Let k(m) = -u(m) - 6*x(m). Let t(b) be the first derivative of -2\/3*b**3 + 0*b + 0*b**2 + 38. Give k(t(i)).\nAnswer: 8*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -314, -345, -402, -491, -618?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10102, -20273, -30514, -40825, -51206, -61657, -72178?\n\"Answer: -35*k**2 - 10066*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-9)*(-141)\/(-376)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = p + 3*n - 17, 3*p - 21 = -5*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 30 = 5*i, -7*i + 40 = -2*i - 3*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/9)*m*m**(-42)*m**(2\/53)\/m**(4\/7) assuming m is positive.\nAnswer: m**(-135713\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 5. Let k(f) be the first derivative of f**2\/2 - f - 2. Let i = -3 + 2. Let u(y) = i*h(y) + 5*k(y). Let s(q) = -2*q. Give u(s(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 223780033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27778*n + 10330.\nAnswer: -27778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u - 14*u**2 + 19*u**2 + 65*u + 58*u**2.\nAnswer: 63*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/194, 56\/3, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + (65 - 8) + (4 - -78)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49177003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819, 1587, 2357, 3129, 3903, 4679?\nAnswer: 5457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331355 is divided by 331264?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 14078 = 30*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -471 + 133*t + 471 + 31*t to r + l*t and give l.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 - 268. Suppose 0 = -5*b + 7*k - 5*k + 1558, -2*b - y*k + 628 = 0. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0.37, -18.7, -5 in increasing order.\nAnswer: -18.7, -5, -2, 0.37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -122301?\nAnswer: -122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(275) - (0 + sqrt(275) + sqrt(275))) + 3)**2 - sqrt(275)) - 2*(sqrt(275) + (0 + sqrt(275))**2*5).\nAnswer: -2465 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (5 - 3) + 19. Suppose -z - f*z = -598. What is the remainder when 36 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.031326 to one dp.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76) + sqrt(76) + -1 - 2*sqrt(76)*-3)**2.\nAnswer: -64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*o - 148 = -167, 3*t - o = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162, -297, -654, -1341, -2466, -4137, -6462, -9549?\n\"Answer: -18*q**3 - 3*q**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1607182, -1607180, -1607178, -1607176, -1607174, -1607172?\n\"Answer: 2*v - 1607184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.59 + -0.59. What is the nearest to k in -0.4, 14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.87 from -244381098053.\nAnswer: -244381098053.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 84513469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2778 by -1389.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 12. Let d(n) = -n**2 - 11*n - 11. Let h be d(a). Suppose 33 = h*j - 4*j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuouuuuuuuu. What is prob of sequence ouou?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.3. Let u be (((-4)\/6)\/(2\/3))\/(-11). What is the third biggest value in u, 6, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8783 + -8408. Solve 8*z - x = -375 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.1 - -114.9. Let d = 132.5 - u. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 104 + 4 = 0. Let z(x) = k*x - 6*x + 8*x + 10 + x**2. Give z(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -37. Let q(t) = -t - 36. What is 3*k(p) - 2*q(p)?\nAnswer: 2*p - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5695 times -27?\nAnswer: -153765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -904 or -930?\nAnswer: -904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 126 = 116 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72 and 8959756101.\nAnswer: 8959756173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppecllecl. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 5*j - 5. Let p be 9\/63*-7*(2 - 1). Let t be b(p). Solve t*f + 3 = -w + 3*w, 5*w - 12 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.85 and -36.68.\nAnswer: 214.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, -t + 2*t = -v + 5. Suppose 2*s = c + 3, s - 5*c = 4 + 11. Suppose s = -18*r + 36*r - 396. What is the remainder when r is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5384652 + 0.608465. Let p = o + -0.07. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13630 + -2789. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/6 - 9)\/((-1)\/39). Let y(t) be the second derivative of -5\/3*t**3 + 0 - 5\/4*t**4 - 1\/4*t**5 - u*t + 0*t**2. Let y(c) = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i)**16\/(i*i**0*i)**(-9\/14)*((i**(2\/3))**(-22))**(-1\/9) assuming i is positive.\nAnswer: i**(4439\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (510 - 462) + -20 + 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 14. Let v = 1 - a. Suppose 4*g = v*j + 6, -16 = -3*g - g. Solve 5*n + 3 = -j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15168 times -1950.6?\nAnswer: 29586700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3)*b)**(2\/39)*((b**2*b)\/b)**(-5\/13))**(4\/31) assuming b is positive.\nAnswer: b**(-320\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 47?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204892.\nAnswer: 2, 13, 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1656 and -77\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 338\/(-172))\/3. Let g = -194\/43 + f. Let n = -1\/115 - -577\/230. What is the common denominator of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 4*k + 2. Let x(h) = 2*h**2 + 2*h + 1. Let d be 3*-1*(-4 - -3). Give d*b(w) - 5*x(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-340)\/14 + (-6)\/(-21). Let v = o + 10. Let y be (-2)\/(-5) + v\/35. Put 3, y, 0.4 in descending order.\nAnswer: 3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -0.2 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139223056 to the nearest integer?\nAnswer: 11799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -56. Let k(g) = -2*g**3 + 38*g**2 - g + 101. Let m be k(19). What is the second smallest value in m, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Suppose 3*y - 7 = 2, -2*z + 3*y - 27 = 0. Let g = z + 8. Which is the third smallest value? (a) g (b) l (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114317 - 0.004045?\nAnswer: -114317.004045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - 34. Suppose -6*c + 78 + w = 0. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + 10000011011111101?\nAnswer: 10000011101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.36 + -0.36. Let m = 13.92 - a. Put -5, 1\/5, m in increasing order.\nAnswer: -5, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/9 (c) 5\/2 (d) 2193 (e) 0 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1540, -3080, -4622, -6166?\n\"Answer: -j**2 - 1537*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88) + -1*(sqrt(88) + 2*sqrt(88)) - 2*(sqrt(88)*2 + sqrt(88)))\/(sqrt(24)\/(sqrt(3) - sqrt(27))*-2).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 530*i - 262. Does 8 divide p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {q: 11, i: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 - 5 = 0. Let s be -5*(7 + (-126)\/15). Let j(d) = t*d + 6 + s - 13. Let n(a) = 19*a**2. Determine n(j(u)).\nAnswer: 76*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 3*o - 24. Let d(n) = -n**2 - 3*n - 24. Let w(z) = -4*d(z) + 5*r(z). Let t be w(-13). Let v = t + 285. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -70, 1\/9, -2\/19.\nAnswer: -70, -2\/19, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12838 = -7*o + 44065. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 1 (c) 10 (d) 0.5 (e) 1\/6033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -38, -55, -72, -89, -106?\n\"Answer: -17*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -11.1855?\nAnswer: -31.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 4*y + 4*y)*(-2*y + 2*y + 2*y)*(5*y**2 + 5*y**2 - y**2).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3\/3 + 7550720*t**2\/3 - 30202928*t\/3 + 10067648 = 0. Calculate t.\nAnswer: -1887684, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386554336 divided by 7.\nAnswer: 55222048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 - h. Let g = -6 - -4. Let j be n(g). What is the units digit of 6\/(-15) + j\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.6 - 113. Let i = r - -56. Let s = i + 4. What is the smallest value in s, 0.1, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = 14*a + 78 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 2*o**2 + 2*o + 3. Let q be r(-2). Let z = 62 - q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 62196134 and 30.\nAnswer: 62196164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 2*l + 199 - 14 - 45.\nAnswer: -2*l + 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 763699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 9*f**2 - 7*f - 8. Let q be c(8). Solve q = -208*t + 204*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2745484712\/242879 - 1374\/18683. Let h = y + -11310. Let f = h + 439\/65. Which is the third smallest value? (a) f (b) 11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 38*s - 22607. What are the prime factors of s?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*((sqrt(90)*1)\/sqrt(5) + sqrt(162)*2)*5)**2.\nAnswer: -2756250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.1 times 3?\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 735390.7 millennia in decades?\nAnswer: 73539070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 10*c**2 + 185.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 155?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123518484 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13307, 26651, 39995, 53339?\nAnswer: 66683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14828 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 4*y + 5. Suppose 3*p - 5*m + 12 = 0, -2*p - 3*p - 20 = 5*m. Let h(w) = -3*w**2 - 4*w - 4. What is p*k(j) - 5*h(j)?\nAnswer: -j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 326\/5. Which is the nearest to 0? (a) d (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 - 2.53. Let l = u + 2. What is the nearest to l in -5, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4.96.\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1615 + (20 - 6)\/(-7). Let u = s - -16576. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s - 15*s - 12027 = -91*s + 19*s for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:34 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g - g)*(3*g + 0*g - 4*g) - 3*g**2 - g**2 + 6*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23820.\nAnswer: 2, 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205883129 is divided by 51470780.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 624955628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 43. Let d be j(8). Let o(p) = 3*p + 6. Let v(b) = -2*b - 4. Let y(t) = 5*o(t) + 7*v(t). Calculate y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {r: 1, q: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -378, -301, -222, -141, -58?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-12) + -1 - ((-244435)\/7980)\/(-83).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -665983 > -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 271247*k**2 - 108*k. Let b(q) = 2*q. Calculate b(z(i)).\nAnswer: 542494*i**2 - 216*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-7 - -8)) + 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -0.5 (c) -9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*t - 172*t - 188 = -1448 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2. Let g(m) = 28*m**2. Determine i(g(r)).\nAnswer: 10192*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 3*y**2 + 0*y**3 + 0 - 1\/12*y**4 + 0*y. Let l be j(-9). Solve 4*u + l = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = 5*y - 7, -3*y + 13 = j. Let k(v) be the first derivative of 6*v - 4\/3*v**3 + 1\/4*v**4 - 3\/2*v**2 + 152. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1109117 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -462, -878, -1220, -1488, -1682, -1802, -1848?\n\"Answer: 37*x**2 - 527*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 26*b - 5 - 45*b + 26*b + 0 - 5*b**3. Let v(p) = -3*p**3 + 4*p - 3. Give -4*n(r) + 7*v(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/714760 and -39\/160.\nAnswer: 2859040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -1021637?\nAnswer: -58\/1021637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -73042316484 + 49.5?\nAnswer: -73042316434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -849507071.0000043 + 849507003. Let z = 168 + -236. Let r = a - z. Round r to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 365 = 147. Let o = y + -107. What is the greatest common factor of 259 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (273\/702)\/(-7)*3*1\/(-4)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h - 18 = 5*k - 80*h, 5*k = 3*h - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 15*k + 761. Determine v(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:39 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131022 is divided by 3615.\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 26*r = -10, -6*r + 24 = 4*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.4 + -132.6. Let t = z + 115. Let x = t + 51.004. Put 0, 1, 0.2, x in increasing order.\nAnswer: 0, x, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + -1 + -7 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*x - 3 + (-2*x + x + 2*x)*(-5 + 2 + 2) - 2*x - 5*x + 5*x - 2*x - x + 4*x - 2 + 5*x + 2 - x - 4*x - 2 + 6*x.\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/10)\/((-20)\/(-25)). Put -1\/5, 2\/41, l in descending order.\nAnswer: l, 2\/41, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. Suppose s = -4*u + 8 + 8. Suppose -4*b + 16 = 4*c - 3*b, 8 = -u*c + 5*b. Solve -2*i = c*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, -20 in decreasing order.\nAnswer: 5, 3, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 18371*z - 2089. Is d(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*n - 12*n - 15*n - 94 = -40*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 4*v**4 + 3*v**2 + 4 + 2 - 3*v**4 as p*v**2 + r*v**4 + h + y*v**3 + q*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -2\/5, 3, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(36)*3 - -3*sqrt(4356))\/((sqrt(48)*-3)\/sqrt(4) - sqrt(72)\/sqrt(6)*1).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4232444512.\nAnswer: 2, 132263891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1\/16, -2\/3 in ascending order.\nAnswer: -13, -2\/3, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 2890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-3)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - -4*sqrt(190)*2)*-3)\/((sqrt(1440) + sqrt(1440)*2 + sqrt(1440))*-1).\nAnswer: 9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8 + 5*w**2 + w**2 - w**2 - w - 6*w**2. What is v(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640543 smaller than 3640442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-149 - -143) + -1 + (9 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58046 and 89.\nAnswer: -5166094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2*i - 6. Let l(h) = 1 - 1 - 2*h + 7 - 1. Let q(c) = -4*l(c) - 3*v(c). Let x(k) be the first derivative of q(k). Differentiate x(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - 10001011100?\nAnswer: -10010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1341\/8 - -168. Suppose 7*n + 188 = -4*p + 3*n, -99 = 2*p - 3*n. Calculate the common denominator of p and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(128) + -2)**2 - (sqrt(192)\/(sqrt(24)\/sqrt(2)))\/sqrt(8))*1.\nAnswer: -33*sqrt(2) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {d: 2, s: 5, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 3) to base 8.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(50\/30*6\/10). Let y(m) be the second derivative of o*m**3 - 33\/20*m**5 + 0*m**4 - 10*m**2 - 22*m + 0. Differentiate y(r) wrt r.\nAnswer: -99*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 361754 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: Calculate 3 - (5 + (-12 - -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1288*b - 2592.\nAnswer: 4*(b - 324)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, 2\/13, -0.4 in decreasing order.\nAnswer: 2\/13, -0.04, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(2 + (4 + sqrt(125))**2).\nAnswer: -858 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inordidx. Give prob of sequence dr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from bnnnnbbnbnwbsbn?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-14 + 9 - 9 - -30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 - o**2)*(4 - 3 - 2) + o**2 + 2*o**2 + 0*o**2 + 0*o**2 + 2*o**2 + o**2 + (0 + 1 - 4)*(0*o + 0*o - 2*o**2).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21 = -3*l + 5*j, 5*l - 2*j + 3 = 0. What is the highest common divisor of 19 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2031 - 2033. Which is the second smallest value? (a) 0.19 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135, 253, 357, 435, 475, 465, 393?\n\"Answer: -2*c**3 + 5*c**2 + 117*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(sqrt(44)\/(sqrt(20)\/sqrt(5))*-4 + sqrt(110)\/(sqrt(80)\/(-2*sqrt(8))) + -4))**2.\nAnswer: 864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 3*z**2 - 18*z + 8*z + 3 + 6*z. Calculate q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22710520?\nAnswer: 2, 5, 7, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(2*v**2 - 5*v**2 + v**2) + (4*v - v - v)*(v + 0*v - 3*v) + v**2 - 2*v**2 - v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s - 11. Suppose 0 = -0*v + 5*v. Suppose -3 = 3*x - 4*f, v = -3*x + 2*f - 3 - 6. List the prime factors of l(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:56 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -790 - -792. Sort k, 3, 0.7, -0.2 in increasing order.\nAnswer: -0.2, 0.7, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, 5, -24796?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**2 - 59*u**2 + 23*u**2 + 14*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c. Let r(m) = 8*m**2. Give q(r(z)).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. What is the common denominator of 189\/48 - n - 3 and -40\/11?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -75 (c) 3 (d) -3 (e) 2 (f) 1.8 (g) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -19994 + 463*o**2 + 19994. Let d(r) = -2*r**2. Determine d(z(v)).\nAnswer: -428738*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -909*k**3 - 1842*k**2 - 957*k - 24.\nAnswer: -3*(k + 1)**2*(303*k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*l - 18, 3*l + 7 = w + l. Let r(k) = k + 4 - 4. Let m(a) = -2*a. Let x(p) = w*r(p) - m(p). Let j(c) = 2*c. Determine x(j(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -9*(-204)\/144)\/(10\/(-8))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 5*a**2.\nAnswer: 5*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 15*v + 34. Let i be z(-17). Suppose -f + 5*b = -i*f - 29, -3*f + b + 31 = 0. What is the least common multiple of 4 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 + u**2\/2 + 2*u + 1. Let o be 9\/(-3) - (3 - (-12)\/(-3)). Let b be l(o). Let g(v) = -v**2 - v + 3. What is g(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/46426 and 31\/17061555.\nAnswer: 34123110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -15. Suppose q*p - i + 43 = -3*i, -3*p = 5*i + 41. Which is the second smallest value? (a) -3\/2 (b) p (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from sppwsjz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 7:11 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j + 3*h, j + h - 3 = 2. Let g = -28762 + 28770. Calculate the smallest common multiple of g and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1134 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*h, -16*u - 9 = -11*u + 3*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*l**3 - 55*l**2 - 3*l**3 + 2147*l**2 + 137*l**4 - 130*l**4 + 2*l**3 wrt l?\nAnswer: 168*l + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/936 and -59\/66.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52475188 to the power of 1\/2, to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.44 and -2.\nAnswer: -12.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15519740 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -4*l, -3*l - l = -4*u. Suppose -u*v + 149 = -29. List the prime factors of v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3)*a)**(-26)\/(a**0)**(-15\/7) assuming a is positive.\nAnswer: a**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - 2*m - 4. Let s = 320 + -318. Let h(a) = -7*a**3 + 2*a + 8063*a**2 + 3 - 8063*a**s. Give -4*h(z) - 3*p(z).\nAnswer: 10*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689142 is divided by 86102?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 673 + s - 27164023*s**2 + 27164012*s**2 - 2*s as t + o*s + g*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 39, 91, 163, 261, 391, 559?\n\"Answer: b**3 + b**2 + 28*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 112. Solve -d - d - s - r = 0, 2*d + 4*s + 26 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**3 - 3*u**2 - 4*u. Suppose -270*m - 52 = -257*m. Let c(s) = -s**3 + s**2 + s. Give m*c(x) - z(x).\nAnswer: -3*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.06 (c) -0.2 (d) -0.3 (e) 0 (f) 0.5 (g) -7.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*24\/16. Is c equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -239.4. Let z = -0.2 - 0.1. Sort z, l, 3 in ascending order.\nAnswer: l, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -3. Let p = -1.8 + d. What is the closest to -11 in -2\/13, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 2*p**2 - 3*p + 2. Let x be d(1). Let k(n) be the third derivative of -n**6\/120 + n**5\/10 - n**4\/4 + n**3\/3 + n**2. What is k(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/88)\/2 - 56\/(-55). Let o = 0.7 + -4.7. What is the second biggest value in 0.3, o, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6248685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/91 - (-76)\/26. Suppose -r*l - 5*g + 2979 = 0, 23*l - 5*g = 28*l - 4975. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -154, -229?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffghfwqwqqxfxffhhf. Give prob of picking 1 q, 1 g, and 2 w.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*(-5)\/((-5)\/(-3)). Let y(i) = -2*i + 70. Calculate the smallest common multiple of 52 and y(p).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -27*f**3. Let l be w(-1). Suppose 0 = -2*y + 67 + l. Let o = 4778 - 4760. Calculate the remainder when y is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/5 - 54\/(-45). Suppose -2*g - 4 = 0, -19*o - p*g = -22*o + 1855. What are the prime factors of o?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*d)*(4*d - 3*d - 4*d) + 3*d**2 - d**2 - d**2 + (-2*d + 4*d + 0*d)*(2*d - 4*d - 2*d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012002 + -10?\nAnswer: 11011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-208)\/(-24) - (2 - -10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -19. What is the greatest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + f + 40 = 0, -5*f = -5*v + 40. Let i be (14\/v)\/(2\/16). Suppose 2*r - i + 8 = 0. Solve 5*a - 2*h - 18 = 0, r*a = 4*a - 2*h - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006305 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = -5*c, 7*c = -3*o + 3*c - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 407724*g**2 + 1223208*g.\nAnswer: -4*g*(g - 3)*(g + 101934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, s: 1, n: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(325).\nAnswer: -5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-40) - 13\/((-780)\/(-1305))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4357898 is divided by 263?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3 - 90*k - 46*k - 42*k + 177*k. Let h = 18 - 21. Give u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbfv when four letters picked without replacement from afbfyvbnv?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054.763 - 28025040?\nAnswer: -28023985.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*p - 15, -10 + 1 = -3*p - 2*u. Let h = 34 + -579\/17. Let o = 4993.5 + -4994. Which is the smallest value? (a) o (b) p (c) -0.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 19. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0 + 0*t**5 + 134\/15*t**6 + 22*t + 0*t**3 + 0*t**4 - 92*t**2. What is the derivative of d(f) wrt f?\nAnswer: 1072*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86*a - 26*a + 19*a - a + 4 - 4 + (-2 + 2 - a)*(1 + 3 - 3))*(2 + 0 + 0)*(2*a + a - a) as z + i*a**2 + t*a and give i.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) - (-26)\/6. Let l = h + -5. Solve 4\/3*b**2 + 25\/3*b**4 + 20\/3*b**3 + 0 + l*b = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 2*t**2 - 3. Let l(u) = 5*u**3 + 13*u**2 + 209. What is -2*l(b) - 14*x(b)?\nAnswer: 4*b**3 + 2*b**2 - 376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 300461512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (-1 + sqrt(1100))**2 - (sqrt(1100) + (sqrt(1100)*2*-1 - sqrt(1100)) - sqrt(1100))).\nAnswer: 10*sqrt(11) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33584 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 5*k**4\/3 - 104*k**3\/3 + 40*k**2 - 57*k + 51. Let b(g) be the first derivative of y(g). What is x in b(x) = 0?\nAnswer: 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {h: 6, s: 7, m: 4, o: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5148 + -5143. What is the closest to -0.12 in 0, 0.4, j, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (3*2*((sqrt(3520) - -1*sqrt(3520)) + sqrt(55))\/(sqrt(20)\/(sqrt(16) - sqrt(4) - sqrt(4) - sqrt(4)))*-3)**2.\nAnswer: 1029987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 1.6. Let q = -4290\/7 - -613. What is the closest to 5 in q, -0.5, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 136, 270, 448, 664, 912?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18179973 to 3 decimal places.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-158)\/(-1185))\/((-1)\/(-5))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(5))*2 - sqrt(605)*-1 - (sqrt(5) + (-2 + sqrt(45) - sqrt(5)))*-6)*-4)**2.\nAnswer: -13888*sqrt(5) + 80016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -4.02.\nAnswer: 28.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3 - 8. Suppose w*r - 3005 = 1215. Suppose 5*b - r = -189. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3.68. Let f = -0.45 + n. What is f rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 - a**3\/3 - 2*a**2 + 5. Let z(d) = 2*d**3 + d**2 + 3. Let o be 3*(-1)\/(-4)*(2 + 2). What is o*p(l) + 2*z(l)?\nAnswer: l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*j**3 - 2 + (30*j**2 + 6*j**2 + 17*j**2)*(3 - 3 + 4*j).\nAnswer: 214*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2363976 or 2363975?\nAnswer: 2363975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/(185449\/61820 + -3). Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 55.36177?\nAnswer: 55.36177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11942, -48337, -109220, -194591, -304450, -438797, -597632?\nAnswer: -780955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 12*w**2 + 5. Let d be t(12). Suppose -4*j = -0*r + d*r - 13, 0 = -r + 2*j - 3. Calculate the greatest common divisor of 11 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {g: 2, s: 4, b: 3, y: 1, a: 1, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(96)*-1 - sqrt(96))\/(-2*sqrt(242)).\nAnswer: 20*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6550 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2140142 microseconds in seconds?\nAnswer: 0.0000002140142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*h + 99*h. Let i(o) = o**2 - 5. Calculate i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - q - 2*q + 2*q**2. List the prime factors of r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4618970216?\nAnswer: 2, 7, 23, 43, 83399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i**2 - 2*i - 5. Let g be y(4). Suppose 2*r - 8 = 4*v + g*r, -4*v - 4*r - 20 = 0. Which is the smallest value? (a) v (b) 5\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.4 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(1 + (sqrt(117) - (sqrt(117) + 2))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*n - 80 = -29, 2*c + 2*n = 102. Calculate the common denominator of c\/(-119) - 187\/(-224) and 59\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrzrrrrrrzrr?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 811043\nAnswer: 5\/811043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -5*b + 12, 0 = -v - 3*b + 15. Let u(o) = -o**3 + 115*o**2 + 474*o + 246. Let g be u(119). Let m be (v + 1 - 36\/g)*4. Is m less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 50 - 30)*(13*l + 5 - 5 + 1).\nAnswer: -741*l - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12622802 divided by -5?\nAnswer: 12622802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-15)*(-995)\/(-199)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w. Let o(x) be the third derivative of 5*x**4\/24 - 2*x**2. Suppose -4*s + 12 = 5*h, -4 = 2*s - 0*s. Calculate h*y(v) - 11*o(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = x - 5*p, x + 23 = -p - 2. What is the hundreds digit of (-42540)\/x + (-3 - 76\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-7)*6818\/(-2435).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19) + -1*sqrt(57)\/sqrt(3))**2 + sqrt(209)\/sqrt(176).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-31)\/(1240\/(-100))*-3*(-8)\/990.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29604365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 1, q: 1, w: 6, m: 5, u: 2, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 29 + 4*t**4 - t**4 + (t**3 + 3*t**2 - 3*t**2)*(2*t - 3*t + 2*t) + t**4 + t**4 - 4*t**4 to d + u*t + z*t**2 + n*t**4 + q*t**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p - 64 = 0. Let m = p - 4. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 - 8*m + 9. Let u be x(7). Solve 5*l + 6 = u*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432410 (base 5) to base 2\nAnswer: 111011010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 - 5. Let w be d(-5). Let j(h) = h**2 + 2*h + 1. Let p be j(w). Solve 2*q + p = 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3 + 140*x**2\/3 - 1679*x\/3 + 1058\/3 = 0.\nAnswer: 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229783201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 7, 0 = i - 5*k + 5. Let l(d) = -5 - 4*d**2 + 2*d**2 + 3*d**2 - d. Let w be l(5). Solve 0 = -4*t + 5*p - w - i, 3*p - 15 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174418 + 1179?\nAnswer: -173239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*x + 8*x - 3542, -20 = 5*x. Let c = -689 - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76a (base 12) to base 14.\nAnswer: 57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 + 2)*(-4 + 4 - i)*(-44 + 44 - 25*i)*(-2*i**2 + 0*i + 0*i) - 6*i**4 + 2*i**4 + 3*i**4 in the form u*i + p*i**3 + h*i**4 + j + r*i**2 and give h.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*9\/(-18) - -1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 28 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 10337320*k - 20674620.\nAnswer: -5*(k - 2067462)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*i**4 - 715*i**3 + 5955*i**2 - 12025*i + 6760 = 0. What is i?\nAnswer: 1, 8\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**4\/6 + 3250*r**3 + 264145*r**2 + 1555630*r\/3 + 515295\/2 = 0.\nAnswer: -3817, -81, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3504, -13845, -31016, -55017?\n\"Answer: -3415*t**2 - 96*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745704636?\nAnswer: 2, 13, 17, 1974779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186518.\nAnswer: 2, 179, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2410*u - 2664 = 2392*u. What is the remainder when 661 is divided by u?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, 32, 1, 5, -2 in descending order.\nAnswer: 32, 22, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, 3400.\nAnswer: -4, -3, -1, 3400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584461.4mg in nanograms?\nAnswer: 584461400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111101110 + -1111?\nAnswer: -10110111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7136*r**2 + 80*r + 44516049 wrt r?\nAnswer: 14272*r + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2658428591.\nAnswer: 7, 13, 31, 942371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:38 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74, 77, 80, 83, 86?\n\"Answer: 3*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 4*n + 68, -5*j + n + 65 = 0. Suppose j*h - 220 = 7*h. Suppose -30*i + 37*i = 105. Calculate the remainder when h is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-4)*2*(-3)\/(-27). Let v = 3 - 0. Which is the biggest value? (a) v (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9655*w - 28801. Calculate z(3).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/12*(-6)\/4. Let w = 7 + u. Suppose 80 = 2*i + w*i. Calculate the remainder when 61 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187477731953 minus 165?\nAnswer: -187477732118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 26*f - 9. Suppose -6*r + 3*r = 5*x - 6, 0 = -x + 3*r + 12. Let s(t) = t**2 + 9*t - 3. Let v(b) = x*n(b) - 8*s(b). Determine v(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*g**2 + 2657*d + 242*g**2 wrt g.\nAnswer: 2*d*g + 484*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98460 and 246150?\nAnswer: 492300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 246 - 66 = 0. Suppose g*d + 22 = 22. Solve 5*p - 5 = -d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1156047417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - x = -70 - 138, 0 = -3*d + 5*x + 133. Calculate the remainder when d is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - (-15 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96 + 96 + f + 25*f**5 + 0*f**5 - 2*f**5 + 3*f**5 + 0*f**3 - f**5 + 0*f**3 + (2*f**4 - 1 + 1)*(0 + 0 + 2*f).\nAnswer: 29*f**5 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*v - 1471*v - 1287*v.\nAnswer: -2220*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2637588.\nAnswer: 2, 3, 219799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -182 - -178 - (4 + 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*l - 10, -s + 8 = 3*s - 4*l. Suppose -t + 2*f - 13 = 0, s = -5*t + 8*f - 4*f - 35. Which is the biggest value? (a) t (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598289.16 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(108)\/sqrt(4))\/sqrt(3)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6871 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -54. Solve 1 = 2*x + t + 12, -5*t = q*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t*u**3 + 134*t - 2*u**3 - 29*u**2 wrt t.\nAnswer: -2*u**3 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 - 0.46. Let g = 0.34 + k. Which is the third biggest value? (a) -0.3 (b) 12 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.8. Let y = 0.21 + -0.11. Let q = y - k. Which is the smallest value? (a) 4\/3 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than 3\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 60*x - 7. Let q(g) = -89*g + 11. What is -8*n(y) - 5*q(y)?\nAnswer: -35*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/6693 + 234239\/107088. Let g = -659\/28 + 16\/7. What is the common denominator of g and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409404 and 1228212.\nAnswer: 1228212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15*b - 10. Let v be m(-8). Let k be 7159\/(-63) - (-8)\/(-36). Let r = k + v. Find the common denominator of r and 32\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000368 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6*k = 0, 6*p + 4*k = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g - r + 6 = -105*g, -4*g - 2*r - 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 431 in 4, -5, 1.1, -471?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/32 + 73\/608. What is the nearest to 1 in q, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/(-5) - -4) + 0 - 2. Which is the closest to 3? (a) 2\/3 (b) g (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2. Let c(m) = -11*m + 6. Let q(k) = -21*k + 14. Let x(z) = 7*c(z) - 3*q(z). What is j(x(w))?\nAnswer: 392*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21*r**2 + 2*r - 3. Let j be k(2). Suppose 0*o + 5*o = j. Let s be 70 - (4 + -1 + -1). Calculate the greatest common factor of o and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2.1 (b) 3 (c) -1049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from uuuixiiiiixi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27123*b + 735*b + 25189*b + 17847*b.\nAnswer: 70894*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c**(4\/5))\/(c**(-11)*c*c*c*c**(-4\/5)) assuming c is positive.\nAnswer: c**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -505 + 281. Let l be ((-9)\/4*2)\/(84\/q). Suppose -12 = -h - 3*h. Calculate the greatest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + -7 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1872)\/(-3185))\/(-16))\/((1632\/112)\/(-34))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/30 - (-12)\/(-9). Sort 4, j, -1.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6865668 millilitres?\nAnswer: 0.0006865668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2 + 5. Suppose 4*x + 11 + 4 = f, 0 = 4*x - 4*f + 12. Let k be x\/16 - 91\/(-28). Sort 2, k, l in decreasing order.\nAnswer: k, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 + 22*m - 54. Let t be s(2). Solve 0 = -3*p - 5*o + 9, o - 69 + 70 = -t*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/20 - b**4\/4 - 2*b**3\/3 - 2*b**2 + 33*b. Calculate x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or 2.08?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32497545 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000155926 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, 1576 = 5*x + 2*f - f. Suppose 4*a = 6*a - 12. Suppose -a*h + 9*h = 4*n + x, -2*n = -4*h + 428. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-6\/5)*q)\/q)\/(q*q\/(q*q**(-1\/5))) assuming q is positive.\nAnswer: q**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - 1)\/(-4 + -1 + 3). Suppose 0 = 3*w - 0*x + 2*x + q, -2*x - 7 = w. Sort 0, 5, -2, w in increasing order.\nAnswer: -2, 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -20*n - 466. Determine j(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 7, o: 1}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) -3 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23254245 (base 6) to base 11\nAnswer: 454095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1890*b**3*v**2 - 4*b**3 - 20*b*v wrt v?\nAnswer: 3780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 55*s**2 + 884*s - 9. What is v(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 + 4*y - 7. Let r be h(-6). Suppose 0 = 5*a - 2*n + r*n - 2, 2*a = n + 3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 + 2.1. Let h = r + -1. Let l = h - 4.2. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4))**(1\/5)*(r\/(r\/(r\/r**(2\/7))))**(-32) assuming r is positive.\nAnswer: r**(-633\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -376, -380, -384, -388?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -1021, -2729, -5709, -10315, -16901, -25821?\nAnswer: -37429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12695955 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4930 by -170.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*f**2 + 6*f.\nAnswer: 3*f*(33*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w - 32. Let l be x(-6). Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, 43, 46, 7 in decreasing order.\nAnswer: 46, 43, 15, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -0.39, -0.3, -3, -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -1\/12 (c) -4 (d) -56\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*u = 3*u - 47, -3*u + 1 = z. Is -13 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 1. Suppose 6 = d - p*d. Which is the third biggest value? (a) d (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111122000021200 (base 3) to base 6.\nAnswer: -415130543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwc when three letters picked without replacement from cwwwcwccccwccc?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/477, 9, 1\/5, -0.4, -0.1, -0.095?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 456 - 5*x - 3*x**3 + 456 + 2*x**3 - 3*x**4 to m + u*x**4 + h*x**2 + p*x**3 + o*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/23077 or -1?\nAnswer: -14\/23077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w. Let i be (-30)\/(-4)*4 - 0. Suppose -41*p + 31*p = 260. Let r = i + p. Let d(z) = -3*z**2 + 6*z + 1. Calculate r*c(g) - d(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-3)\/9). Is (1 + -1 - 23)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 6232*r - 2492 = 0.\nAnswer: 2\/5, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*6\/(-6)*-498. Let t = -168 + s. What is the third biggest value in t, -1, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 17 - 57. Suppose 0 = -2*a + 6, -5*h = a + 2 - b. Solve -q = h - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78513.96+-0.0538\nAnswer: -78514.0138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 8*f + 6. Sort f, -5\/2, -2, 1\/4 in descending order.\nAnswer: 1\/4, -2, -5\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355691, -355688, -355683, -355676, -355667, -355656?\nAnswer: -355643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.08 - -0.08. Let z = 3 - 11. Let p be ((-8)\/6 + 2)*6\/z. Sort 5, p, 7, u in decreasing order.\nAnswer: 7, 5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061207 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 293. What is the least common multiple of 3 and j?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.4 in 1, -27605, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:10 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-133))\/((364\/(-196))\/(-13))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d - 85*d + 22*d + 41*d + 1.\nAnswer: 11*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t - 3*p, 5*p - 27 + 4 = -3*t. Let i(x) = -x**3 + 1. Let q be i(0). Suppose 0 = -j - q - 0. Which is the nearest to t? (a) -4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3452164*s**5\/3 - 14416251728*s**4\/3 - 14356753907*s**3\/3 - 3542905861*s**2\/3 + 15454904*s\/3 - 16708\/3 = 0. What is s?\nAnswer: -1\/2, 2\/929, 4177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*v**3 + 203*v**3 - 65*v**3 - 79*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = -38*z + 77*z + 10. Let o = -1 - -2. Put z, o, 3 in increasing order.\nAnswer: o, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by 1972.\nAnswer: 70\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 10, g: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:40 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -193)*13\/(-26). What is the greatest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -416627189.889 - -416627021.888999857. Let h = 168 + j. What is h rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 * 2.9687\nAnswer: 501.7103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21746 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -298.1 in -1\/2, -7, 0.6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15360380 is divided by 493.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 118848?\nAnswer: 2258112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 + -5486?\nAnswer: -5555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.05 (b) 2\/11 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 310\/50 - 18\/15. Solve z*m - 4 = -4*f + 8, 0 = -2*f - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 501 or 5?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044 and 162.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -1\/3 (c) 1\/4 (d) -4316 (e) 3\/7 (f) -1\/162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1788840 divided by -4.\nAnswer: -447210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/(6\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353127?\nAnswer: 3, 117709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 18*x - 30. Calculate w(-8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 735741 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 97108 - 97108. Let x(y) = -4780*y**2. Calculate x(m(g)).\nAnswer: -19120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l - 1. Let f be v(6). Let y = -27 - f. Let h = -4 - y. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/20160 - y**7\/5040 + y**6\/360 - 4*y**5\/15 + 4*y**2. Let a(c) be the third derivative of l(c). Factor a(w).\nAnswer: -(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*z = 324*z - 122*z - 8421 - 18123 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*q**3 + 196*q**3 + q - 13 - q with respect to q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -279*s. Let d(v) = -2*v**2. Give w(d(x)).\nAnswer: 558*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24904373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - (100 - 55))*-7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 404 divided by -101\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, j: 2}. Give prob of picking 4 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 105?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -262 - -7337\/28. Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*p - 100*p + 247*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1*(0 + 2)). Suppose y + c*q + 4*q + 2 = 0, 3*y = -4*q + 2. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1381153, -2762453, -4143753, -5525053, -6906353, -8287653?\n\"Answer: -1381300*l + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -7. Let u = -6 - h. Suppose 3*l + 4*y - 2 = 2*y, 0 = -2*l + 2*y + 8. Are u and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, 15, 55, 113, 189, 283?\n\"Answer: 9*s**2 - 5*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 195*h + 2136. Calculate f(-15).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6557, 6, -10, -4 in decreasing order.\nAnswer: 6, -4, -10, -6557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**3\/6 - k. Let o(n) = -150*n**2. Let l(y) = -63*y**2 - 80*y**2 + 180*y**2. Let s(u) = -18*l(u) - 4*o(u). Give q(s(i)).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - f - 3)*(-2*f + 15*f + f)*(3*f - 2*f + 0*f) as q + h*f**3 + j*f + n*f**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*b - 536, l = 5*l + 3*b - 715. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(23 + 15751\/(-684))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 652*p - 639. Let q be o(1). Which is the smallest value? (a) 2\/9 (b) -3\/5 (c) q (d) -2\/5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548000 and 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 1144356*r**2 + 6865992*r.\nAnswer: 4*r*(r - 286083)*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 - (-6 + 2) - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 174.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) - sqrt(152)\/sqrt(288)) + (sqrt(76) + (sqrt(76) + 0)*-6)**2.\nAnswer: 10*sqrt(19)\/3 + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.73468 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/10 + (1904\/35 - -6) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48175455, 48175457, 48175459, 48175461?\n\"Answer: 2*p + 48175453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/5, -0.1, -2\/9, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 445 and -5?\nAnswer: -2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 168*p**2 + 14623*p + 635. Calculate z(-87).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/2 + 245 + 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3721 + -3723. Let r(q) = -q**2 - 2*q + 2. Let b be r(-3). Calculate the remainder when (70 - 0\/4)*b\/n is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24612 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 6 - -3*1. Suppose -13 = -3*n + d. Is 3\/(-4) - (-2462)\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -112.3.\nAnswer: 112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x. Let l(s) be the second derivative of 12 + 1\/12*s**4 + 4*s + 0*s**2 + 0*s**3. Give h(l(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**4 + 595*k**3 - 2*k**2 + 144*k - 3 wrt k.\nAnswer: 36*k**2 + 3570*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - 746.\nAnswer: -743.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 174*l - 16046. What are the prime factors of g(215)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Suppose t - 120 = -g*t. Suppose -6*d = -d - t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from ryhsyyxxry?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422133 (base 5) to base 10.\nAnswer: 45293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2234 - 1.24. Round m to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -574 + 1062. Let m = -470 + c. Solve 7*u = u + m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -508 + 958. Suppose 18*u = 23*u - j. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8866, 1, 0, -1 in ascending order.\nAnswer: -1, 0, 1, 8866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14494*v + 14492*v - 115962 = 0. Round v to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 0)*(3 - 3 + v) - 3*v - 2*v + 2*v)*(4*v - 3*v + v + (-1 - 1 + 4)*(-2 + v + 2)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.279 * 191952.\nAnswer: -53554.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -0*m - 266. Calculate the highest common factor of m and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146.799 + -147.6. Let d = 0.101 + q. What is the closest to -1\/3 in -1\/3, 0, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1310.206kg?\nAnswer: 1310206000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + 0*m)*(-60 + 101 - 73).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/19865 and -62\/116039.\nAnswer: 16825655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1041 - 1.8.\nAnswer: -1.6959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7656 * -1458.\nAnswer: -11162448","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 133\/11 - ((-9)\/(-11))\/9. Solve -i = -27*j + 31*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 31 = -4*i. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 14*b - 11. Does 3 divide j(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0*w**5 + 0*w**5 - 3*w**5 + 6*w - 6*w + (0*w + w + w)*(0*w - 2*w**4 + 0*w).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 551\/5 + 5\/(-25). Is 222\/(-4)*f\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 4*i - 161 + 2*i + 122. Calculate the remainder when 9 is divided by r(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:06 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-636)\/(2\/1) + (-3 - -6). Let q be 6\/(-27) - (-182)\/u. Sort -3\/5, 0.4, q, -5 in descending order.\nAnswer: 0.4, -3\/5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29164913819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15463*i**2 + 464*i + 18 wrt i?\nAnswer: -30926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 2, f: 12, n: 1, t: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 + 5*c + 4. What is the remainder when 32 is divided by z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 5\/3*x**3 + 1\/2*x**4 + 8 + 0*x + 0*x**2. Let w(v) = v**3 + 4*v**2. What is 4*k(s) - 5*w(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29599415?\nAnswer: 5, 59, 269, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/84)\/((-2)\/(-7)). Let n(q) = q**3 - 6*q**2 + 6*q - 3. Let g be n(5). Suppose -2*h + 16 = g*j, 4*h - 16 + 2 = -j. Solve f*y = j + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4065\/6 - 5)\/(1\/2). Find the second derivative of -1160*y**4 + 195*y + 30*y + l*y**4 wrt y.\nAnswer: 2220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/19650834 and -107\/210?\nAnswer: 98254170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1108 and 2?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 + 7*x**2 - 2*x - 6. Let f(v) = 11*v**3 - 15*v**2 + 4*v + 13. Let h(b) = 4*f(b) + 9*t(b). Determine h(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**8\/560 - m**6\/100 + m**4\/40 + 30*m**2 - 2*m. Let w(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8425 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4 - 45*g**3 + 339*g**2 - 547*g + 252 = 0.\nAnswer: 1, 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 8916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose u*t + 2*t - 812 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100313 - -20313011?\nAnswer: 20212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*x = -5*q + 604, -4*x + 598 = 5*q. Suppose -5*v + q = -53. Solve 0 = -h - 4*p + 15, 2*h + p = 6*p - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence debd when four letters picked without replacement from {s: 1, e: 1, b: 2, d: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 88219.46 millennia?\nAnswer: 882194.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3054 + -750.\nAnswer: -3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m + 2*m)*(1 - 2 + 2)*(0*m - 2*m - m**2 - m**2) to the form q + r*m + h*m**2 + w*m**3 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**6\/3 - 6*u**5\/5 + 2*u**3\/3 + 9. Factor n(j).\nAnswer: -2*j**2*(j + 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-27) - (-1)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/21? (a) -0.2 (b) -1 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/2 - 2*c**3 + 5*c**2\/2 - c = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 8743950.\nAnswer: 8743950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 58*i = 10*s - 27, 2*i = -5*s + 9. Solve -3*j - 5*b - 45 = 0, -123*b = -s*j - 126*b - 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/2*((-832)\/(-48))\/52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2445, 4894, 7343, 9792?\nAnswer: 12241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 3, t: 3, n: 5, d: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7598132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76821741290 and 0.05.\nAnswer: 76821741290.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2408 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/8*(-1080064)\/(-144) + (-8)\/(-1). Calculate the highest common factor of g and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -236211?\nAnswer: -236232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 18 = -2*o, 0 = -5*m - o - 5 + 24. Suppose -z + 21 = 5*r, 5 = -r - m*z - 6. What is the third smallest value in 3, 1\/12, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568083429.\nAnswer: 3, 431, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2918899, 2918897, 2918891, 2918881, 2918867, 2918849, 2918827?\n\"Answer: -2*p**2 + 4*p + 2918897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 12*q**3 + 14*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ac7 (base 14) in base 9?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3157700 to the nearest 10000.\nAnswer: -3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -25*q**5\/4 + q**4\/12 + q**3\/6 + 9*q + 1. What is the third derivative of h(x) wrt x?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 251, 254, 255, 254?\n\"Answer: -r**2 + 6*r + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -50 + 45 + 130 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3456\/(-1620)*5\/12?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((12099\/(-1308))\/((-10)\/8))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -7*d + 9540. Calculate the remainder when (d\/(-8))\/5*4 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -v*h = -3*h + 7. Suppose -h = 3*d - 4*d. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - -53 - 2 - 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 12, p: 5, d: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 6*k**2 - 4*k - 1. Let y be v(-5). Find the common denominator of (y\/(-4))\/(105\/(-679)) and (-50)\/4*(-9)\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -206, -303, -400, -497?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 53*t. Let l(i) = -123*i - 6. Let f(o) = -266*o - 13. Let z(j) = -6*f(j) + 13*l(j). What is z(q(h))?\nAnswer: 9*h**2 + 159*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 26, 4, 18\/3991, 0, -0.2, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/21)\/(1\/(-15)). Let v be 2\/(-26)*g\/90. Let z = v + 224\/585. Which is the third biggest value? (a) 0 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45\/628 + -264253\/1884. Let x = -4273\/30 - b. Find the common denominator of -95\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 264 (b) 362 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 divided by -39?\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 7 + (1 - 23) + 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189152\/483 + 4\/6. Let t = 392 - p. Are -90 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*a - 35, y - 2*y + 3*a + 30 = 0. Suppose -5*j - 4*s + y = 0, 6*j - 4*s = j + 85. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30578*j**3*u + 47565*j**3*x - j*u*x wrt u.\nAnswer: 30578*j**3 - j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 25 + 23. What is the units digit of (-28)\/12 - -2 - (-548)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*o*v**2 - 17*o + 3*v**2 + 32*v + 55 with respect to o.\nAnswer: 134*v**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83866 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -9. Let t(x) = x**2 - 6*x + 2. Let r(u) = -u**2 - 21*u + 27. Calculate the remainder when t(i) is divided by r(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x. Let u(r) = -119*r + 16. Determine 3*h(i) - u(i).\nAnswer: 71*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -16*h - 8*h + 16*h. What is the closest to -1\/3 in h, -2\/21, 2, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 11}. Give prob of sequence uumu.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 89 + 0\/(-1). Calculate the highest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164888249?\nAnswer: 164888249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.1, 4 in ascending order.\nAnswer: -5, -1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4*l + 2, -442*q = -440*q - l - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -32*i + 1282. Let o be v(40). Solve -5*u = 5*t + 20, -o*u + 12 = -5*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10483, -21131, -31805, -42517, -53279?\nAnswer: -64103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1018)\/(-2) + 20*(-24)\/120?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2 + sqrt(190))\/sqrt(10) + -1 + sqrt(57)\/sqrt(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45757064 + 0.02.\nAnswer: 45757064.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**(3\/7)*z)\/z*z)\/z*z*z**(1\/4)*z)\/(z**4*z**(-8)*z) assuming z is positive.\nAnswer: z**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 512 - 511. Is o not equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -552 + 597. Suppose 0 = 2*w - 6, 4*p + 41*w - x*w = 2836. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 3*x)*(-2*x - 2 + 2) + 10*x + 3 - 2*x**2 - 10*x + 728 - 108*x**2 - 728.\nAnswer: -106*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5355 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**3 + 122*f**2 + 31. What is the tens digit of s(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2 - 1\/(-2))*(105 - 7). What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 22 = -786*t + 787*t, -q - 5*t - 11 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-385))\/(3032\/4169)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.01 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -5, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12791610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = 2*v + v - 47, -2*a - 173*v = -172*v + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13970, 13734, 13486, 13232, 12978?\n\"Answer: n**3 - 12*n**2 - 207*n + 14188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 49*x + 16 = 45*x, 11*k - 2*x = -42 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 - 3 + 25*o**3.\nAnswer: 25*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 4665?\nAnswer: 4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 3. Let p = -276 - -273. Calculate r(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127 + 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:57 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 3. Let w = 48 + c. Calculate the highest common factor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-9\/8)*d\/d**18)\/(d\/(d*d**(-1\/14)*d*d)*d*d**(-19)) assuming d is positive.\nAnswer: d**(157\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 20. Let i be r(19). Let n(m) = -3*m**2 + 2*m - 3. Let p(v) = v**2 - v + 1. Give i*n(t) - p(t).\nAnswer: 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -70 (b) 2\/129 (c) 4 (d) 2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149924445\/15249)\/(-113) + 87.\nAnswer: -2\/299","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2274144.9 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 75, 14, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u. Let c(o) = -6*o. Give c(l(w)).\nAnswer: 108*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) 39 (c) 4450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61972328 a multiple of 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by (-1 - (-130)\/4)*2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 303, 488, 747, 1080, 1487, 1968?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Let d(m) = -14*m + 6. Let n(b) = 671*b - 286. Let x(u) = 286*d(u) + 6*n(u). Give k(x(j)).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 91*z + 6250. Is p(98) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**3 + 3*f**2 - 2. Determine w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -800 + 822. What is the lowest common multiple of 1396 and g?\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 14*t**2 + 2*t**3 - 15*t**2.\nAnswer: 2*t**3 - 38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.2 - 8. Let i = 1.2 - r. Suppose 6*v - 9 = 3*v. Which is the closest to i? (a) 0.4 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvp when three letters picked without replacement from {r: 1, i: 3, v: 4, y: 5, k: 1, p: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*q + 5*v + 3555, 2120 = 3*q + 2*v. What are the prime factors of q?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 1. Let h = 48729 + -48729.4. Which is the nearest to h? (a) -5\/3 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134524665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*s = 2*r + 17, -4*r + 3*s = 3. Factor 36*f - 2*f**r - 36*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 3*k - k)*(-2*k + 4*k - k) - 17*k + 17*k + 3*k**2 + (4*k - k - 4*k)*(95*k + 170*k + 43*k) to the form s + h*k + x*k**2 and give x.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 + 0*m**2 + 4 - 6*m + 2*m + m**2 + 0*m**2. Let d be o(2). Let z = 6 - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7090279.8 to the nearest 1000.\nAnswer: 7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, b: 3, j: 1}. What is prob of sequence ja?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 = -0*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + -2) - 3 - (-6 - (-47 - -139))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + a**2 + 6. Does 34 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24242 to the nearest 100.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 4. Suppose -3*z + 22 = 4*o, -o + 4 = -2*z + o. Suppose z*y - 4*y = 0. What is the units digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhfhhfhhf. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7437050160789 and 0.\nAnswer: -7437050160789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-21)*(-97 - -106).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 814 divided by 2\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let o = 594.281 + -594. Let p = o + 0.019. What is the closest to 0.1 in -3\/5, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 12, -f + 81 = -3*r + 41. Which is greater: f or 515\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -3004, -1.9 in increasing order.\nAnswer: -3004, -1.9, -1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3793919\nAnswer: -2\/3793919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-456)\/(-6))\/((420\/15)\/14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b = -5*b - 12*b + 365. Solve -b*r - 3*c - 13 = -0, 2*r = c - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45757758 to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 - 2*f + 2. Let u be h(-3). What is the lowest common multiple of (2 + u\/4)*-16 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2, z + 2*f - 1360 + 349 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 4*x + 3*x + (-x + 4*x - 8*x)*(-2 + 1 + 0) - 2 - 2*x + 2.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*u**2 - 6*m**2*u + 1689*m**2 + 1278*m*u**3 - m*u**2 + 12*u**3 - 7*u wrt u.\nAnswer: 8*m**2 + 7668*m*u - 2*m + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a milligram in micrograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115599 is divided by 1484?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*q + 5*q = 0, -3*i = -2*q. Suppose -5*p - 5*t = -25, i = 2*t - 8 + 4. What are the prime factors of (-10 + 3)*p\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/24)\/(3\/(-2)). Let i = -1.1 - 2.3. Let z = i + 0.4. Which is the second biggest value? (a) r (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 206, -5, 2, 179 in ascending order.\nAnswer: -5, 2, 7, 179, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n**2 + 2879*n - 54975. Determine t(241).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 96776913214?\nAnswer: -96776913211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/3 - 35*b. Let x(h) = -30*h**2. What is x(c(m))?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 16. Let i be o(10). Calculate the highest common factor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61241217 * 0.2\nAnswer: -12248243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 9. Give l(-21).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*d + 5*l - 12, -4*d + 27 = l. Suppose d*k - 6*k + 394 = 0. Calculate the remainder when k\/(-4) + (-54)\/36 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5085 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/19))**(-28)\/(k\/((k**2*k)\/k)*((k\/k**(-15))\/k)\/k))**32 assuming k is positive.\nAnswer: k**(-6112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.643?\nAnswer: -1.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**25\/(g*g**(-26))*g**2\/(g*((g*g**27*g)\/g)\/g) assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.1. Let m = 157 + -20. Let s = m + -961\/7. Which is the second smallest value? (a) 2\/25 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 172*q**4 - 2956*q**3 + 25380*q**2 - 108864*q + 186624 = 0 for q.\nAnswer: 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 409968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13743086.\nAnswer: 2, 7, 827, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-5)*(-330)\/308*7)\/(-1).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(1*3*sqrt(7)) - (1 + sqrt(57)\/sqrt(3) + -4)**2)*6.\nAnswer: -168 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 j when three letters picked without replacement from {s: 3, j: 3, e: 1, t: 2, m: 1, f: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 91\/130*(-10)\/(-112). Let c(r) be the third derivative of 0 - 1\/30*r**5 + 1\/240*r**6 - 42*r**2 + o*r**4 + 0*r**3 + 0*r. Determine u so that c(u) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32017 is divided by 464.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let x be 146\/10 + z\/10. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*y + 21531, 2*u - 14354 = 31*y - 32*y. What are the prime factors of u?\nAnswer: 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 10*f**3 + 0*f**3 + 2*f**3 - 4*f**3 + 0*f**3 + (-2*f + 6*f - 2*f)*(2 - 2 + 2*f**2) - 4*f**2 + 4*f**2 + 2*f**3)*(-f + 1 + 4*f - 2*f).\nAnswer: -5*f**4 - 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/(q\/(q*(q*q**(-8)\/q)\/q*q*q)))**(-2\/67)\/(q**(-1\/6)\/q**2)**(48\/11) assuming q is positive.\nAnswer: q**(7298\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26562 + -15669. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/10)\/(110\/(-275))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:14 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 65. Calculate the remainder when 87 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/70450 or -1?\nAnswer: 1\/70450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 5 - (-330)\/10. Let m = i + -25. Solve -5 = -2*g + m*g - l, g - 5*l = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 34*h + 9. What are the prime factors of l(4)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(11 + 5*r - 11) + 3 + 2*r - 3 to y*r + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:41 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6420414 and -155\/917202.\nAnswer: 6420414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13886856 divided by -27?\nAnswer: -514328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6645925.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1750 and 22?\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22176 (base 9) to base 6.\nAnswer: -152110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19.62 - 0.0212712\nAnswer: 19.5987288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 16. What is the units digit of -2 + 0 - v - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 1, a: 7, s: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**45 assuming r is positive.\nAnswer: r**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1518 - -5?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -3 + -40 - (48 - 15)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157352, 316087, 474822, 633557, 792292, 951027?\nAnswer: 1109762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -n - 20, 0 = -n + 3*g + 9 + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-27)\/(-3))*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/(j*j\/(j**(1\/5)\/j)))\/((j\/(j**0\/j*j)*j)\/j)**(1\/7) assuming j is positive.\nAnswer: j**(-379\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14130 less than 0.17?\nAnswer: -14129.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 1.5, 4, 3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -305.6 - -305.57238. Round x to four dps.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 11 - 9 - (1 + -303*1891). What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156379 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: Rearrange -12 + 31 - 12 + 3*a**2 - 21 to x + b*a + z*a**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -45*o + 595. Give k(14).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 18\/(25380\/18377)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70335877?\nAnswer: 70335877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 312802688 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.02 (c) -3 (d) 4 (e) 2889\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 665*t**2 - 60145*t + 59475.\nAnswer: 5*(t - 61)*(t - 1)*(t + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.4 (b) 0.4 (c) 4 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.01 - -378.99. Let w = r + -412.6. Let m = w - -38. What is m rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let f = -580\/9 - -4697\/72. Let r(t) be the third derivative of 0*t + 0 - 7*t**2 - f*t**4 + 0*t**3. Determine k(r(y)).\nAnswer: -361*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 673 + 743 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k + 4328*k = -2097*k + 34*k - 327*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let d = m + 2.5. Let a = 2.9 + d. Round a to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 393*b - 568 = 397*b, 780 = 5*l + 5*b. Is 195 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 6. Let p be m(3). Let c(h) = 4 - 5*h + 4*h + p*h - 3. What is c(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**6\/10 + 21*j**5\/20 - 3*j**4 - 2*j**3 + 24*j**2 + 27*j - 13. Factor a(y).\nAnswer: -3*(y - 4)*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 32*a**2 - 6 + 3.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 - 2 = 0. Let l = 1\/250 - -1493\/1750. What is the smallest value in d, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 23 + (1 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -8043511?\nAnswer: -53\/8043511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2759*c + 201405. Determine k(73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5 + 3*j**3 - 592*j**2?\nAnswer: 240*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 3*n)*(-n**4 - n + n).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 3, z: 2, o: 10}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -431197, -431191, -431165, -431107, -431005, -430847?\n\"Answer: 2*k**3 - 2*k**2 - 2*k - 431195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65604 is divided by 131?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -24.718031?\nAnswer: 24.618031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 12*w**2 - 10*w + 10. Let h be t(11). Let n = 524 + h. What are the prime factors of n?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6654940 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 3. Let t be (-4 - -6 - 1) + -1. Suppose -4*u + 6 + 6 = t. Determine c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86208, -172416, -258624, -344832, -431040, -517248?\nAnswer: -603456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (16 - (3 - -16) - 8 - 5).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y**2 + 4*y + 1. Is 17 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 716 - 764. Let j be (-2 - 4) + r\/(-6). Solve j*n = 5*d + n - 15, d = -n + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2893966.6 - -149.919.\nAnswer: 2894116.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let j be (y\/(-6))\/(7\/(-105)). Suppose x - j*m - 33 = -0*x, -3*m + 92 = 2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 285 + -247. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:50 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 6. What is r(-22)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 33740*p\/3 + 7360144.\nAnswer: 2*(p + 682)*(p + 16188)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 403951 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 233 + 298 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 3*f - 3. Let t be a(-2). Suppose 162*m - 253 = 100*m - 191*m. Calculate the highest common factor of t and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176213720 and 4793.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {q: 13, p: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**5 + 20523*z**4 + 680283*z**3 + 1671177*z**2 - 5465280*z + 3093300 = 0.\nAnswer: -30, -5, 1, 6874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/8)\/((-48)\/8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 696734*r**3\/3 - 928960*r**2\/3 + 309656*r = 0 for r.\nAnswer: -116121, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 288, 422, 538, 630, 692?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*k = 31, -2*r = -5*k - 1 - 18. Suppose -2*x + 5*b = -21, -x - 3*b = -b + r. Let a(p) = -p**2 + 2*p + 2. Determine a(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4577764616?\nAnswer: 2, 37, 179, 86399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359640680 divided by -10612.\nAnswer: -33890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - v**4 + 2*v**4 + (0*v + v - 4*v)*(-v + 2*v + 2*v)*(-7*v**2 - v**2 + 7*v**2).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2662)\/(-5324))\/(1\/(-4)*3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844600077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 1227400405?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 20, -3\/2, -1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s + 1. Let d(n) = 150*n - 6. Determine -4*d(w) - 21*z(w).\nAnswer: -12*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 805228849 to the nearest integer?\nAnswer: 28377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/19 - 7630*o**2\/19 + 307664*o\/19 + 27178408\/19 = 0.\nAnswer: -3854, -43, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.067*-768945\nAnswer: -51519.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*q**3 + 147*m**3 + 1734*m**2*q**3 - 3*m*q**2 - 18*m - 2*q**3 + 8*q - 424 wrt m?\nAnswer: -12*m*q**3 + 882*m + 3468*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194562949 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 59759287.8?\nAnswer: 59759281.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 12*k - 21. Let o be j(10). Calculate the smallest common multiple of o\/(-3 - 46\/(-16)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 258*v**3 + 762*v**2 - 758*v + 252.\nAnswer: 2*(v - 126)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (23 - 9) + (22 - (0 - -8)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 25*o**2 - 14*o - 21. Is i(11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p\/(p**5*p))\/p)\/p*p)*p**(-1\/10))\/(p**(-6))**(2\/23) assuming p is positive.\nAnswer: p**(1707\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10211204130 (base 5) to base 11\nAnswer: 6012619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 35 = -14*g. Suppose -4*l + g*l = -5*p + 62, 5*l - 30 = -p. Sort 0, p, 5.\nAnswer: 0, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-55)\/5 + 2*(-3 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(7) - (sqrt(63) + 3)) + -4.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1300234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 200786?\nAnswer: 2007860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*n - 1532 + 1444, -2*n + 88 = 4*v. Suppose -u = 5*y - 161, -2*u + 24 + 34 = 2*y. What is the greatest common factor of v and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797087715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 14*f - 68. Solve 875*w**2 - f*w + w - 879*w**2 - 16 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, -0.1, 4, 1\/5, 4466?\nAnswer: 4466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 28*f + 12 = 0. Suppose -i = f*i. Solve 2*o + 4*s + i*s + 8 = 0, -5*s = 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -3*t**6 + 14*t**3\/3 + 6. What is the third derivative of o(d) wrt d?\nAnswer: -1080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82953 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 26 = 2*i - 4*b, 0 = -3*i - 2*b + 16. Let c(q) = 4*q + 2. Calculate the remainder when c(i) is divided by 2\/2*18\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53500 and 53500 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.3, -1, 5, -69\/1327?\nAnswer: -69\/1327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 554128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpppppkpppkppppppppk. Give prob of sequence pk.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 103721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94.944 * -0.25.\nAnswer: -23.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-3780))\/((-1)\/(-12))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -4.3. Let f = 4.3 + q. Let m = -2347\/7 + 335. Sort 6, m, f in ascending order.\nAnswer: m, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234290409?\nAnswer: 3, 78096803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 5)*3\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18674291 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39733*s + 9 + 14 + 13 + 79470*s + 15 - 39740*s - 35.\nAnswer: -3*s + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 5)\/(2\/(-60)). Let x be (3 + 0)\/((-18)\/v). Suppose x*z - h = 4 + 53, -2*z + 9 = -5*h. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (4 - (3 - 6))) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*t**5*z**2 - 195884*t**3*z**2 - 32*t**2*z**2 + t**2*z + 120*t*z**2 + 2*t + 4*z**2 - 21 wrt t?\nAnswer: -480*t**2*z**2 - 1175304*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8771758 (base 9) to base 6.\nAnswer: 244555255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3560757977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k + 15, 4*z + 3*k - 1139 = 0. List the prime factors of z.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1451 = k + 1145, -2*p - 12992 = 5*k. Let l be (96\/3)\/((-2)\/k). What is l rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 12648?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 - 3*b**3 + b**3 + 4*b**2 + (-166 - 5 + 14)*(-57*b**2 + b**3 + 57*b**2) to the form x*b**2 + s*b + z*b**3 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 26*o - 21. Calculate c(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2824 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*u + 5225*u + 156711 - 116969 = -318950 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {a: 2, o: 2, l: 2, h: 3, r: 1, f: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.41 bigger than 61\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-3)\/((-3)\/(-2)). Suppose -2*a + 125 = 3*a. Calculate the remainder when a is divided by ((-27)\/(-6))\/((-1)\/s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-10) + (-4)\/10. Suppose 2*i = -4*p + 6, 2*i + 3*p = 7 - 1. Solve x*g = -20, -4*g + 2*g - 13 = -i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 353*u**2 + 3716*u - 625. Calculate x(10).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -2)*((-43361458)\/136 + 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24691863*m**2 - 73814203*m.\nAnswer: 49383726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(11 - (-238)\/(-35)). Suppose s + q = 1, 2*q = -2*q - 4. Put 1, s, j in descending order.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/41641 + 7786807\/2498460. Calculate the common denominator of l and 31\/550.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1\/10 (b) 772 (c) 4\/3 (d) 7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4860241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7126.901ml to litres.\nAnswer: 7.126901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24049 + -1298603\/54. Calculate the common denominator of 107\/18 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-2))\/7*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*6\/(-18) - -52. Let y = 661 - n. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1240 and -203\/17670?\nAnswer: 70680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*s + 685024, -144*f = -140*f + 2*s - 548018. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from {n: 4, g: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/114010 and -1\/130.\nAnswer: 114010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from enxihez?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - (136 - 83 - -5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592 at most as big as 32142\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - 8) + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + 9. Let b(v) = 11*v - 10. Let i(k) = -5*b(k) - 6*l(k). Let g be (-7 + -4 + (0 - -7))*-1. What is i(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.9 - 12. Let x = 1.97 - -0.03. Let o be (1\/(-12))\/1*2. Which is the biggest value? (a) p (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 26*n - 13*n - 2*n**2 + 19 + 9. Let j be c(8). Solve 4 = -2*y, 3*b + 2*y = -0*y - j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.7 - 33. Let f = -2.3 - q. Which is the nearest to 0.1? (a) f (b) 5\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + y**2 - 8*y - y - 2. Let g(f) = f**3 + 5*f**2 - f + 6. Let t be g(-5). Let a be o(t). Calculate the highest common divisor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + r - 17*r - 704 = -r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (3*sqrt(180))\/sqrt(6) - sqrt(30))\/(sqrt(60)\/sqrt(6)*-3) + -5 + (sqrt(2187))**2*6)*4.\nAnswer: 4*sqrt(3) + 52468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21373\/25 + 855. Which is the third biggest value? (a) -9 (b) i (c) 1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-14) - 10\/(-35). Let y be (3 - 3)*u\/2. Which is smaller: y or 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-4)*(19\/6 - 3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 2. Suppose 3*s = -l*s + 90. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + sqrt(5) + 0 - (5 + -2*sqrt(5) - sqrt(5))**2.\nAnswer: -71 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -91425, -0.2, -0.3, 4\/9?\nAnswer: -91425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -739.0339 - -739. What is w rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 108 = 24*k - 7 - 19, o = 7 - 2 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 j when three letters picked without replacement from kjkkjmjjkmj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 4*p - 217, 0 = u - 4*p - 233. Let x = -207 + u. Is x at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2172 and 1135830567?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-g + 1 - 1)*(-2 - 3 + 3) - 8 + 8 - 8*g)*(20*g + 18*g + 0*g) to the form y*g**2 + q + o*g and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 39 + 6. Let l(d) = -d. Let k be l(m). Solve 0 = -0*a - 3*a + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212*p**2*w + 4*p**2 - 592*w + 5 with respect to p.\nAnswer: -424*p*w + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/51 and -23\/153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 8. Let b(q) = q**2 + 5*q + 6. Let a(m) = -m**2 + m - 5. Let v be a(0). Let x be b(v). Let u be z(x). Solve f - u*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11488 = -256*n - 2328 + 17976 for n.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1 + 3. Is 1\/2*(k - -102) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (-1)\/3*0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 13. Suppose 17 + 5 = -2*q. Let b = q + 5. Let i be g(b). Do i and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:01 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 845 = 7*t. Let f = -25 + t. Let n = f - 82. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 176*k**2 + 725*k - 900.\nAnswer: -(k - 180)*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -28*m**3 + 3*m**2 + 3*m + 5. Is r(-2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1510, -1518, -1538, -1576, -1638?\n\"Answer: -f**3 - f - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*y + 8000 = 5*r, 3*r - 4*y = 4829. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.0454 - -0.7454. Which is the closest to l? (a) 1\/3 (b) 0.4 (c) -0.8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192, 351, 524, 711, 912, 1127?\n\"Answer: 7*d**2 + 138*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1640)\/(-144)*2139\/3565?\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6576 and 47\/4384.\nAnswer: 13152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 555, 826, 1097, 1368?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*a + 117, 4*r - 1 + 13 = 0. Let h = -58 + a. Solve 2*j + h*p + 6 = 3*p, -4*j + 5*p = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64474 is divided by 98?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + p + 94 = 0, 389 - 103 = 3*d - p. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779772?\nAnswer: 2, 3, 7, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 10*o**2\/7 + 274*o\/7 + 1012\/7 = 0.\nAnswer: -23, -22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 41*g + 5. Let a(b) = 4*b. Give y(a(p)).\nAnswer: 164*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1846 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*a - 6 = -2, -5*v + 5 = -a. Let m be (v + 1)*(0 + 5). Solve 5*s = -5*i - m, -s = 3*i - 5 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*w + 38. Solve -2*i = -4*a + 5 - 3, 3*i + w*a = -13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -238735\/7058948 - 148\/4379. Calculate the common denominator of -53\/312 and n.\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*84\/(-8). Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 47, -30\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9444 is divided by 8054?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 119, -2\/19, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*d - p + 4*p, 0 = 5*d - 4*p - 239. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o + 46*o + 109 = -w, -4*o + 145 = -w. Calculate the remainder when ((-9)\/6)\/(-1 + 681\/690) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let d(s) be the first derivative of -7*s - 2 - 5\/3*s**4 + 0*s**3 + 0*s**2. Let q(n) be the first derivative of d(n). Determine u(q(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**6\/120 + g**5\/60 - g**4\/24 + 10*g**3\/3 - g**2. Let n be f(0). Solve 3*x = 5 - n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/960 + 37*k**5\/96 + 6691*k**2. Factor i(a).\nAnswer: a**2*(a + 185)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j + 284. Let s be r(17). Solve 698 = s*l + 710 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 21 - 57. Calculate the remainder when y is divided by 261\/12 - 9\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -838 + 881.1. Let u = -42 + n. Let w = u + -1.100026. What is w rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*i + 5 + 2, -4*i + 7 = -u. Is (u\/2)\/((-4)\/(-184)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 78.51 (c) -1\/4 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:53 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 883*i + 31174. Determine u(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 + 5*z**2 - 6*z + 3. Let b be (-20)\/(-90) - (-68)\/18. Is u(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q - 180. Let b be ((-244)\/(-21)*3)\/(4\/14). Calculate the smallest common multiple of (-10)\/q + b\/12 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940705578 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-10)\/(-5) + -1*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzxxxxxxxzxzxzxxx. What is prob of picking 1 x and 2 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 + 223. Solve -5*i + y = -11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/130272 and 37\/10.\nAnswer: 651360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3736*s**3 - 1754*s**3 - 1 - 1828*s**3 as a*s**2 + h + t*s**3 + v*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - 0.2. Let v = 81 - 33. Let r = 45 - v. Which is the closest to 3? (a) r (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 26*w - 13. Let m be l(-25). Suppose -m*r + 1654 = -4166. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21210 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202234122 - -5?\nAnswer: -202234114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 138*l - 32. Let o be m(-4). List the prime factors of o\/(-4*(-4)\/(-8)).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11519, 11475, 11429, 11381, 11331, 11279?\n\"Answer: -n**2 - 41*n + 11561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 50, 149, 328, 611, 1022?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 2, 1\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.704512 millilitres in litres?\nAnswer: 0.000704512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3425008 and 128.\nAnswer: 43.8401024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 151. Let q(v) = 17*v**2 - v. Give r(q(k)).\nAnswer: -17*k**2 + k - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1374 and 3018678?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16324513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**4\/11 + 1448*g**3\/11 - 781156*g**2\/11 + 5854472*g + 1959386 = 0?\nAnswer: -527, -1\/3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5820 divided by -1455\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119350 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xxxxxxxxxoxxoxxxxx.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467470755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -22, -29, -54, -103, -182, -297, -454?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1032818 or 1032817?\nAnswer: 1032818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 44 = -4*p - 0*v, -p + 3*v - 3 = 0. Let m = -3 - p. Calculate the smallest common multiple of m and (-12)\/(5 - 12 - 17\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4314\/13 + -53315\/156. Let y be 2\/5 - 10049\/35. Let q = y - -15377\/56. Find the common denominator of q and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 8*s**3\/3 - 5*s**2\/2 - 7. Find the second derivative of f(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -374*b - 4. Let n(u) = 187*u + 1. Calculate -5*n(m) - 2*p(m).\nAnswer: -187*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 3568 = 104*u + 133*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j. Let z(a) = -a**2 + 4*a - 1. Determine g(x) - z(x).\nAnswer: 2*x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**4\/12 - s**3\/6 - s**2. Let k be o(1). Let g = -111\/34 + 30\/17. Which is the third smallest value? (a) g (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 34*o**2 + 3066*o + 11727. Give c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgl when three letters picked without replacement from {l: 1, w: 2, a: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 2\/5, -0.67, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/(76\/(-28) - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 170*r + 3. Let q be m(-34). Factor -l**2 + 1\/3*l**4 + 5\/3*l - 1\/3*l**q - 2\/3.\nAnswer: (l - 1)**3*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 0 - (16 - 40). Solve -q*w + 24*w = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(48) - 1*-1*sqrt(3).\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u + 116*u**3 + 0*u**3 - 27*u**2 - 345*u - 43*u**2 + 71*u**2 wrt u.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -816 - 1073 - 637*a**3 + 2319 wrt a.\nAnswer: -1911*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (10 + -5 - 0)*1. Suppose -p = 7*s - 10. Let x = 0 + -0.3. Which is the nearest to s? (a) x (b) -0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 3*z. Let u be 5 - (2 + 4 + -3). Suppose 0*a + a - u = 0. What is the units digit of h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1379 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6657008.\nAnswer: 2, 29, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*0.62\nAnswer: 0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 39. Solve z - 8 = -2*m + c*z, 2*m + z + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -189, -2 in increasing order.\nAnswer: -189, -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16595.11 millilitres?\nAnswer: 16.59511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101874738 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4 + (0 + 0 - 1)*(-2 + 8 - 5) + 1 + 6 + 1)*(-4 - 4*w**2 + 4)*(-3 + 3 - 2*w) to the form l + b*w**3 + s*w**2 + t*w and give b.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 8957 + 28558 = 0. What are the prime factors of a?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 13*m + 9. Let l(s) = s**2 - 10*s - 8. Give -5*l(a) - 4*v(a).\nAnswer: -a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 11*f**2 + 13*f - 25. What is the remainder when 39 is divided by b(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -50 (b) -1489 (c) -3\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3 + 3*c**2 - 1459268*c - 5157115 wrt c.\nAnswer: 6*c**2 + 6*c - 1459268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1\/7)*y*y*y)*y\/y**1)\/(y**(-3)*y\/y**(-1))*(y**0)**(2\/113)*y**(-5)\/y*y**(3\/5) assuming y is positive.\nAnswer: y**(-264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 14*h**2 + 3. Let m be v(14). Suppose 2 = m*s - 4. Solve 4*c = -a + 1, 4*a + s*c = 6 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258 - -291. Suppose 20*u - i*u + 195 = 0. Solve 5*m - u = 6*v - 5*v, 5*m + 3*v = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*c - 13*c - 234549. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61121772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 78*z**4 + 12*z + 3 - 79*z**4 + 2*z to t*z**3 + p + q*z**4 + w*z + l*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 3 - 4*x + 4*x**2 + 4 + 4*x**3.\nAnswer: 4*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 1. Let x(c) = -4*c - 8*c + 4 + 6*c. Let d(f) = 4*s(f) - x(f). Let r(a) = 9*a + 9*a + 18*a + 14*a - 63*a. Give r(d(z)).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5141 - 5141 - 14*b to the form l + d*b and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 13*i**2 + 3*i + 18. Let n be o(13). Let g = n - 41. Suppose -y = -3*y + g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -23*u + 717. Calculate the greatest common factor of u and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2922843 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133\/3 - -45. Let d = -0.36 + 0.73. Let l = 14.37 - d. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*x**4 + 28*a*x**3 + 5*a*x**2 + 4*a + 4*x wrt x?\nAnswer: 48*a*x + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 2696168.\nAnswer: -45\/674042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1682 > -1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (3077\/34 + -132)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179\/18 - 754\/63. Calculate the common denominator of -29\/192 and l.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 58614.\nAnswer: -29307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 - ((-3150)\/54)\/(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/7 + 400*j\/7 - 20000\/7 = 0 for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.6. Let o = 250 - 251. Let h = 8 + -8. What is the nearest to h in l, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 4, -4*q - 2812 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 12\/8)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 231*b**3 + 33. Let g(v) = 29*v**3 + 4. Calculate 33*g(c) - 4*h(c).\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxs when three letters picked without replacement from refsxxxxxexs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 28, -27?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2225 * -236\nAnswer: -525100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) - (sqrt(117) + (2*sqrt(117) - sqrt(117)))))\/(sqrt(9) + sqrt(81)*3).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2595, 0, 1\/9 in descending order.\nAnswer: 2595, 1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595 and 10?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 6*w. Is w - (4\/6)\/((-6)\/792) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -647, -1294, -1941, -2588, -3235?\n\"Answer: -647*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 40 = -4*z - z, 2*z + 54 = -5*u. Is -10 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3924 and 12?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from aksskzhkkzas.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -19. Let h(g) = -213*g**2 + 199*g**2 - 19 + 2*g**3 + 26*g - g**3. Let d be h(12). Solve -d - n = -5*y + 3*b, -y - b = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i + 122*i**2 - 2*i - 120*i**2 to the form a*i**2 + x*i + t and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (26 - -4) + -3. What is the greatest common divisor of 207 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:52 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13217900 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 58. Sort -3, 5, -4, z.\nAnswer: -4, -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1613\/14 or 445?\nAnswer: -1613\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from kukdb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030243 rounded to 6 decimal places?\nAnswer: 0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71541 plus 21.6?\nAnswer: -71519.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*h + 3 - h + 2*h + 3*h + (-2 + 5 - 2)*(h + 4*h - 3*h) + h - 2*h - 4*h + (-4*h + 3*h - h)*(-224 + 431 - 224).\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2\/2 + 9*a + 2. What is the units digit of y(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*g**3*r**3 + 2*g**3*r + 3*g*r**3 - 48*r**3 - 19521*r**2 wrt r.\nAnswer: 312*g**3 + 18*g - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4835 - -4149.6. Let s = -751 - w. What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3\/6 - 5*n**2 - 7*n - 7. Let j(y) be the first derivative of t(y). Is 7 a factor of j(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) 0.2 (b) -1\/2 (c) 434.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332933214 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 23)*4\/(-2). Let q be (0 - (-22)\/4) + 23\/r. Solve -q*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33945 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55523 and 4739.\nAnswer: -263123497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 75. Suppose j = 20 + f. Let g be -2*((-9)\/(-3))\/j. Which is bigger: -2\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.627074807 to four decimal places.\nAnswer: 3.6271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + (-1 - 2) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 26. Suppose 7*p**2 - 2*p**z - 7*p**2 + 8 = 0. What is p?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-5)\/x))\/x*x)**(21\/8)\/((x\/(x\/((x\/x**4)\/x)*x))\/(x**(1\/2)*x*x)))**(-1\/14) assuming x is positive.\nAnswer: x**(-207\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 divided by 5?\nAnswer: -361\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(0 + 3) - -21. Let f be (-10)\/(-3)*27\/m. Suppose 0 = -i + 9 + f. What is the remainder when i is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t + 1. Let d(q) = -7*q + 8. Let j(u) = -2*u + 3. Let m(a) = 3*d(a) - 8*j(a). What is 4*m(h) + 3*o(h)?\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 285887762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 3*w**2 - 1. Let a be n(-3). Let s = -122 + 178. Let d = a + s. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(20)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1052*z. Let w(u) = 55230*u. Determine -263*f(n) + 5*w(n).\nAnswer: -526*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7201036 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.528 rounded to 1 dp?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -179, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 9. Suppose -q*z + 17*z + 8 = 0. Suppose -5*p + 3*r + 18 = 0, -3*p + 2*r = -p - z. Solve -3*i = 4*j + 35, 0*j = -5*i - p*j - 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**7\/840 - z**6\/72 - z**5\/60 + z**4\/6 + 2*z**3\/3 + 5*z. Let v(c) be the second derivative of a(c). Determine v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Let x = 13.86 + -14. Let m = x + -0.06. Is m at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0*j + 2*j + j - 1 + 1 + (-4 + 2 + 1)*(-2*j + 4*j - 4*j) - j + 2*j - 2*j - 1 + 1 + j + 2*j + 4 - 4 - 4*j + 2*j - 3 + 3*j.\nAnswer: 7*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 13. Suppose -2*t + 20 = 2*q - 5*t, -c*q - t = -8. Suppose -2*v + 0*v + 93 = 5*f, -q*f = 4*v - 84. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-210)\/63*(-1)\/(10\/24). Suppose y + 47 = h. Calculate the greatest common divisor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-1376168251)\/(-180)*2483252\/586. Let u = w - 32398298851. Let j = u - -10\/2637. Calculate the common denominator of 9\/4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 2. Let q be w(2). Suppose -5 + q = n. Calculate the smallest common multiple of 7 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0832 + -1.083211742. What is g rounded to seven dps?\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from {q: 4, g: 4, k: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988901837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14646\/(-15) + (-12)\/(-30). What is the units digit of -1 + f\/(-14) - (-2)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 8*y**2 + 8*y. Let g be c(-7). Suppose g = 5*n + 2*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -63. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -29. Let d = n - -20. Sort -4, d, 2\/3 in increasing order.\nAnswer: -4, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58301589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -22. What is the highest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49011 - -3136771\/64. Find the common denominator of -33\/20 and w.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(6)\/sqrt(2)))\/(sqrt(5) + sqrt(20)\/sqrt(4)*5 + sqrt(5)) + sqrt(1100) + sqrt(1100) + sqrt(1100)*1 + 0 + 4.\nAnswer: 4 + 211*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f - 61. Calculate p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 43*m**2 + 11*m + 7. Suppose -128 + 2 = -6*s. Is h(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m + 9. Let p(r) = 14*r - 10. Suppose 2*l + 14 = -4*g, 3*g - 3*l = -23 - 1. Let f(a) = g*w(a) - 6*p(a). What is f(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 40, 169, 424, 847?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 750 = -121*c + 286, 5*c + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 5*u - 4*u)*((2*u + u - u)*(-2*u + 0*u + u) - 4 + 4 + 4*u**2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*g + 286 = -375*g. Solve -g = -5*n + k, -n - 4*n = -5*k - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374 - -5612\/15. Find g, given that 2\/15*g**4 + 0*g - 2\/15*g**3 - s*g**2 + 0 + 2\/15*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {r: 2, d: 1, s: 3, z: 3, u: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 - 7*g - 5. Let i = -15 - -8. Let q(o) = 7*o**2 - 6*o - 4. Calculate i*q(z) + 6*k(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -786f?\nAnswer: 7885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76.7 - 77. Let a(u) = 6*u - 20. Let k be a(6). Suppose -37*m - k = -33*m. What is the closest to -2 in m, -2\/17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27567 (base 10) to base 7\nAnswer: -143241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 15*x**2 + 14*x - 1. Let m be b(14). Let u be (8\/16)\/(135\/138 + m). Let t be u\/(-5) - (-22)\/55. Solve -3*p = 2 - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 13*n**6\/15 + 18*n**2 - n + 13. Differentiate f(s) with respect to s.\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1452849.\nAnswer: 145284.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**3 + j**2 + 2*j. Let q be (-2)\/(-3) + 12\/9. Let r be w(q). Let c = 60 + -28. What is the greatest common factor of c and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 28*x**2 - 253*x - 7746. What is p(-29)?\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/11)\/((-65)\/(175175\/70)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from azgzpaaazzz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 4*i + 3. Let z = 3 - 6. Let t be j(z). Calculate the greatest common divisor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 38. Suppose 0 = 4*d - 8*d + 36. Let v be f(d). Let i be v + (4 - (3 + 0) - -5). Solve -m + 11 = -3*l, -i*l - 28 = -m - 3*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = -71. Let t = w + 48. Suppose -4*q = -4*r - 56, 2*r + 46 = 5*q + 5*r. Calculate the remainder when t is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {w: 2, h: 2, s: 1, f: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20035244 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4644178 and 73\/126.\nAnswer: 41797602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 35*j - 669 = 694. Solve j - 62 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {b: 13, z: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t - 4*x, -12 = 2*t - 4*t - 3*x. Suppose -t*d = -2*b + 41, b - d = -b + 31. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-663) - 286\/7098)\/((6\/(-28))\/1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 39. Let n = t + -13. Calculate the remainder when (8925\/(-34))\/(-21)*(3 + -1) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*n - 5*k + 86645 = 0, 5*n = 3*k + 216597. What is n rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7161*o**4 - 2234229*o**3\/4 - 21783645*o**2\/2 + 4563*o\/4 = 0.\nAnswer: -39, 0, 1\/9548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47160.632 * -10.\nAnswer: -471606.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68476 and 16218?\nAnswer: 616284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h + 99. Calculate n(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - l)*(-33*l**4 - 18*l**4 + 6*l**4).\nAnswer: -90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2975 - -0.1515. Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-8))\/(1\/(-4)). Suppose 0*v - b - 1 = -2*v, t*b + 14 = -5*v. Let r(i) = -48*i**3 + 2*i + 1. Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5247 = v, -o = -2*o + v + 1047. Calculate the smallest common multiple of 1155 and o.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k - 1. Let s(w) be the second derivative of -w**5\/10 - w**4\/6 + w**3\/3 - 3*w**2 - 3*w. Let m(h) = 8*i(h) - s(h). Let m(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 38. What is o(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23786 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v + 3*v**3 + 16*v - 39*v + 39*v - 75*v**3 + (-5 + 3 + 3)*(4*v**3 + 2*v**3 - 5*v**3) + 2*v**3 - 2 + 2.\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*q - 8, -16 - 15 = -3*j - 5*q. Let g be (-4)\/(-4) + 0 + j. Solve g*c + 0 = -15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 - 2*r + 1. Let n be k(3). Suppose f = -o - 13 + 18, 0 = -3*f - 4*o + 14. Suppose f = 9*i + 33. Sort n, i, 5.\nAnswer: n, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**4)\/u)\/u*u\/u**(-4\/7)*u*u*(u**(1\/2)\/u)**(9\/4))**(1\/23))**3 assuming u is positive.\nAnswer: u**(-429\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(833) - (sqrt(833) + (sqrt(833)*1 - sqrt(833))))*-4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdaa when four letters picked without replacement from {o: 3, b: 1, a: 6, y: 1, d: 3, j: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9.3629.\nAnswer: -9.3629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*h + 10*h + 4*h - 150*h to the form v*h + k and give v.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {e: 5, p: 1, d: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74, 140, 214, 302, 410, 544?\n\"Answer: o**3 - 2*o**2 + 65*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-27)*102 - (-165)\/(-33)) + -2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*g = 6, -h - h = -3*g - 15. Suppose 4*n = -h*p + 20, 3*p + n - 5 = p. Let c(u) = u**2 - u + 8. Calculate the lowest common multiple of 8 and c(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321005055 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.524796 less than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y + 153 = 0. Suppose y + 69 = 3*d. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 6 - 167*o.\nAnswer: -167*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 1 + sqrt(2299))))*3*5)**2 + -4 + -3.\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 114. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 2*h**3 - 9*h**3 + (4 + 0 - 2)*(-4*h**3 + 4*h**3 - h**3))*(1 + 2*h + 1 - h).\nAnswer: -13*h**4 - 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, b: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Let p(t) = t**2 + 3*t + 3. Let c be p(j). Suppose -c - 2 = -z. What is the greatest common divisor of z and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 + 701 - 169 = -73*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - (-345600)\/104) + 9\/(-1). Let w be (0\/1)\/(-1) - -3306. Let v = o - w. Find the common denominator of -4\/3 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**7*t)\/(t*t*t**(-3\/7)))\/((t*t**7)\/t**(-1\/12)))**(-5\/2))**36 assuming t is positive.\nAnswer: t**(2085\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16*4)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 82*u**2 + 49*u - 263. What is the ten thousands digit of v(80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4 - 9\/(-9). Suppose 293 = 3*h - f*w - 10, 5*h = -w + 533. Suppose n + 2*y = 101, 5*y + h = n + 2*y. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:51 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**4 + v**3 - v**2 + v. Let l(d) = -36*d**4 - 2*d**3 + 2*d**2 - 2*d - 23. Let y(t) = l(t) + 2*x(t). What is the first derivative of y(q) wrt q?\nAnswer: -152*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904.50327833 + 0.3632.\nAnswer: 904.86647833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378224 + 1059027139\/2800. Calculate the common denominator of g and -97\/1540.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 2. Let z(d) = -9*d + 4. Suppose -190 - 141 = -9*a - 376. Determine a*s(q) + 3*z(q).\nAnswer: -7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30844, 31062, 31266, 31450, 31608, 31734?\nAnswer: 31822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 232559085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -22, -49, -86, -133, -190?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 19*k**2 + 8*k**2 + 7*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2822, -5757, -8692, -11627, -14562, -17497?\nAnswer: -20432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37251002\/5 > -7450201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21318+0.12\nAnswer: 21318.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 2117338853 and -34.\nAnswer: 2117338819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (313 + 7)\/(2\/2). Suppose 7*c - a + 250 = 0. Solve -3*d + c = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3055*t**4 - 87*t**3 + 41815*t + 3 wrt t?\nAnswer: 36660*t**2 - 522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 89*w**3 - 95*w**3 - 4*w**2 + 7*w**2 + 9*w**2.\nAnswer: -6*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*v = 70*v + 2148. Solve 0 = v*h - 103 + 127 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4703, 9385, 14067, 18749?\nAnswer: 23431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -571.22.\nAnswer: 1713.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/225 and (9\/42)\/(7800\/44135).\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 9. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/5, -0.63, 1\/2, -13?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 54 + 1)*(-4*k**4 + 8*k**4 + k**4).\nAnswer: -260*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -491100 to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = p - 44, 5*t + 10 = 3*p - 177. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1453*z**2 - 18523?\nAnswer: 2906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*f - 3*f + 17, 2*f - 12 = -2*u. Let x(h) = 7*h**3 + 2*h**2 - 3*h - 9. Is x(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -87?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v + 4*v)*(33 - 2*v - 33).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, -8, -14, 5.\nAnswer: -14, -8, 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -0.9. Let m = -62 - -63.2. Let y = m - f. Which is the second biggest value? (a) y (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 2. Let o be 2\/(-3)*(-2)\/r. Let t = o - 272\/705. Is t > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 7*t**2 - 13*t**2 - 9*t**2.\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -4, 6\/7, 5, 74, 2.2 in increasing order.\nAnswer: -46, -4, 6\/7, 2.2, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/11)\/((n\/(n*(n*n**(2\/17))\/n))\/n))\/((n*n*n**1)\/n)**(-29\/5) assuming n is positive.\nAnswer: n**(11211\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = 2. Suppose -3*p - 2*h = -1, 5*p = 3*h + 28 - 1. What is the remainder when p is divided by (-1)\/(w\/(1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 205?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 6. Suppose r*z - 6 = -0. Solve 3*v + 3 = -z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -20. Let n be (72\/(-20))\/(y\/10). Solve 4*o = 1 - n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18117655\/12619320 - 10\/7 and 63\/8.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247871073.\nAnswer: 3, 82623691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32 + 2089)*((-8)\/(-3))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/6 - w**2 + 3*w + 10. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3710 + 25978\/7. Find q such that 18\/7*q + 2\/7*q**3 + 12\/7*q**2 + k = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 10.99. What is p rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.268 - -0.368. Suppose -6*z - 18 = -12. What is the closest to z in 1, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6208*j - 111776. Determine b(-18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(80) + 3)) + -4)**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**3 + r**2 + 2*r + 1. Determine a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x**4\/2 - 53*x**3 - 101*x**2\/2 + 9*x = 0. What is x?\nAnswer: -1, 0, 2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/21 (b) 1 (c) -21 (d) 33\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2585691 or -2585692?\nAnswer: -2585692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -49. Let r = 24 + -48. What is the units digit of (r\/(-7))\/(v\/(-833))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 85*c - 98*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3328332, 3328368, 3328404, 3328440, 3328476?\n\"Answer: 36*o + 3328296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y - 18. Let l be (-2)\/y - (-4)\/8. Solve 6*t - 3*t = l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/57 and 47\/36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + i = -31, 0 = -5*g + 41*i - 45*i - 34 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((-2*sqrt(243))**2 + -5 - (1 + (sqrt(48) + 0 + sqrt(48))**2)).\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 651 - 182. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a43 (base 12) to base 10.\nAnswer: 4947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1674 + 414. Let i(l) = -5*l - 26. Let j be i(-15). What is the units digit of 2\/7 - n\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0.069 (c) 0.2 (d) 0.08 (e) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/((10\/30)\/((-40)\/(-18))) is divided by (-2)\/(0 - -2) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -668 - 86. Let h be p\/104 + (7 - 0). Which is smaller: h or 0.219?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 - 3 = 0. Solve -10 = -2*z, l*z - 2*z - 5 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 23*y**2 - 24*y + 44. Let w be a(22). Let m be (-1)\/((-2)\/2 - w - 0). Sort -2, 2, 6, m in decreasing order.\nAnswer: 6, 2, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.183 - -6.69. Let z = o + -3.507. Sort z, -0.1, 5, -3.\nAnswer: z, -3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/3 and 109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28543558 + 48810047 = 106*q + 3817483. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/13 (b) -457\/5 (c) -7 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + 0*h)*(-37 + 5 + 19)*(-3 + 6 + 0)*(9*h**3 - 11*h**3 + 17*h**3).\nAnswer: -585*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216560979 and 21.\nAnswer: 1515926853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 5*l - 17, 20*r - 57*r + 29*r = -10*r + 3*l - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401024, -37, 1 in ascending order.\nAnswer: -37, 1, 401024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11889273?\nAnswer: 3, 11, 17, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 7. Suppose 0 = -6*z + 2*z + 2*t + c, -3*t + 39 = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 - 2*x - 14*x**2 + 7*x**2 + 109*x**3 + x**2 + x**2 as g + s*x + m*x**2 + o*x**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3744\/192)\/((-3)\/4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*z = 169*z + 470 + 762. Calculate the least common multiple of (9 - (-2)\/2) + -2 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002222 - -3?\nAnswer: -1002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2203*d**3 - 6*d**2 - 2*d - 15. Let o be k(7). Let q = o - -1495952. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/330 and -61\/18?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19755237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*m, 10 = -5*d + 5*m. Suppose d*w = -2*w + 6. Let g(q) = -2*q**2 + q - q + w*q**2. Let z(k) = -2*k**2. Give g(z(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 185*v**2 + 49*v - 23. What is the thousands digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-399)\/190)*5\/10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 (base 10) in base 2?\nAnswer: 1110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000158836 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 40*c\/7 + 250\/7.\nAnswer: -2*(c - 5)*(c + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28730)\/(-35) - 6\/(-42). What are the prime factors of (a - 5) + -4 + 4\/(-4)?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8849 = -25*u + 226. Let w = u - 358. Let m = 35 + -211\/6. Which is the closest to -1\/3? (a) -0.2 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g + 1\/120*g**5 + 1\/48*g**4 - 3*g**2 + 0 + 0*g**3. Determine z, given that h(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/86085568 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-4) - (-55 - (-1260)\/28).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5 + 18\/(-30))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-2) + 3\/4 - (236 - (-55930)\/(-235)).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Suppose -s - 13 = -2*z, v = -4*s + 1 - 13. Suppose g - z*g = 2*c + 16, 5*c + 5*g + 15 = 0. Let y(n) = n**2 - 1. Calculate y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1915, 9\/20 in decreasing order.\nAnswer: 9\/20, 0, -1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {u: 6, w: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 2*k = 8*g - 54, -2*g + 30 = 2*k. Solve 4*t = -2*x - 8, 2 = -2*x - 23*t + g*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65)*-4*3)\/(sqrt(15)\/(sqrt(300)*5 + sqrt(300) - sqrt(300))))**2.\nAnswer: 4680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 37*j**2. Let x(r) = 84 - 166 + 82 - 18*r**2. Let v(p) = 2*p + 14. Let q be v(-5). Let d(m) = q*w(m) + 10*x(m). Let l(a) = -2*a**2. Calculate l(d(f)).\nAnswer: -2048*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 557 - i**3 + i**2 - 1141 + 588 + i**3 - 24*i - 3*i**4 to the form j*i + x + u*i**3 + n*i**2 + l*i**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -459 + 455, -4*v + 6 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 = -1. Let c(s) = 5*s**2 - 45*s + 46*s + 0*s**2 + 15*s**2. What is c(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 3:40 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 3*f - 8. Let j(y) = -7*y**2 + 5*y + 17. Let a(z) = -5*h(z) - 3*j(z). Let k(x) = -4*x**2. What is a(k(p))?\nAnswer: 16*p**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, -2\/99?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 272?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 2022, 3027, 4028, 5025, 6018?\nAnswer: 7007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26754 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*1)**2 + sqrt(1008))*-5*4.\nAnswer: -20160 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263.8 - 263.809. Which is the fourth biggest value? (a) -0.5 (b) y (c) 6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 592*t**4 + 1208*t**2 + 551. What is the second derivative of f(w) wrt w?\nAnswer: 14208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41711\/28090 + (-3)\/2)*30\/(-12)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1637, -3262, -4903, -6566, -8257, -9982?\n\"Answer: -y**3 - 2*y**2 - 1612*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 11 (b) -565 (c) -3\/7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)*-1*3. Suppose d*b + 2 = -1. Let w(o) = -o**2 + o + 2. Let k be w(3). Sort b, 1, k.\nAnswer: k, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1504 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*t + 2381 = -2866 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*o**3 + 1041*o**3 + 854*o**3.\nAnswer: 2421*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + m + 3*m + m + 0*m**5 + 2*m**5 - 4*m**5 + (-1 + 2 + 1)*(0*m**5 - 4*m**5 + 3*m**5) + (1 - m - 1)*(-2*m**4 + 0*m**4 - m**4) + 12*m**5 - 32 + 32.\nAnswer: 10*m**5 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 49*n - 318. Determine s(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 8*p**2 - 10*p**2 + 2*p + 3*p**2 + 6 in the form f*p + a*p**2 + i*p**3 + z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 1419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:56 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -149364455, -149364456, -149364457, -149364458, -149364459, -149364460?\n\"Answer: -b - 149364454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - (3 + 10 + 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 6*j - 4. Let y be f(-4). Suppose 12*t + 0*t**2 - 7*t**3 - 5*t**y - 11*t**2 - 2 - t - 4*t**5 + 18*t**4 = 0. What is t?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 2 + 113\/12*u**4 + 1\/30*u**6 + 0*u**3 + 196*u - 1\/10*u**5 + 0*u**2. What is the third derivative of a(h) wrt h?\nAnswer: 24*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 577090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1105 times 1.088\nAnswer: -0.120224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7401.\nAnswer: 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one thirds of a century?\nAnswer: 24400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d**3 + 35*d**3 - 103*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105732 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 32*s**2 - 72*s. Let z(t) = -8*t**3 - 65*t**2 - 145*t + 1. Let c(p) = 5*n(p) - 3*z(p). Find the second derivative of c(a) wrt a.\nAnswer: 24*a + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5086231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**3 + 37*r**3 - 3*r**2 - r - 83*r**3 - 2*r**4 wrt r?\nAnswer: -48*r - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/11 + 26\/55. Suppose 0*r**2 - 3\/5*r + 2\/5 + n*r**3 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((-1)\/(-9)). Let g be 285\/25 - q\/5. Suppose 2*d - 4*d = -g. Let b(n) = n**3 - 7*n**2 + 4*n + 4. Determine b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 4260?\nAnswer: 72420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 3, n: 3, j: 3, a: 1, b: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-146)\/(-2628))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1495 by 2.\nAnswer: -1495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 23201616*p - 33644686563216.\nAnswer: -4*(p + 2900202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1355 divided by -271\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90, -85, -70, -39, 14, 95, 210?\n\"Answer: g**3 - g**2 + g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbjokkm. Give prob of picking 1 o, 1 m, and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 335417370 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3)\/(-6)*0. Let o(f) = 13*f**3 + 5*f**2 + 13*f + 76. Let i(v) = 3*v**3 + v**2 + 3*v + 19. Let l(k) = 9*i(k) - 2*o(k). Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83064621, -166129229, -249193825, -332258403, -415322957, -498387481, -581451969?\n\"Answer: v**3 - 83064615*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (0 - -3 - 1). Let o(q) = k + 0 - q + 0*q. What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 = 32. Suppose 0 = -5*w - 5*d + k, 0 = -3*w + 2*d - 7*d + 21. Let a be 2\/(-3) - (-56)\/w. Solve 0 = -a*j - g + 18, -1 = -4*j - 2*g + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550160 - 550159.9999676599. Round l to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -92 (b) 0.3 (c) -0.05 (d) 1\/22 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 815998*f + 20. Let i be s(5). Suppose 0 = 3*a - 5*w - 12239975, a - i = -5*w + 3*w. Round a to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 146016, 146540, 147966, 150744, 155324, 162156, 171690?\n\"Answer: 75*x**3 + x**2 - 4*x + 145944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5437412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 p when three letters picked without replacement from icyewep.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-37 + 3) - -13?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34031963, 68063925, 102095887, 136127849, 170159811?\n\"Answer: 34031962*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - h + 3*h - 6*h - 7*h**3 as x*h + f*h**3 + a*h**2 + g and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 503496.\nAnswer: 503496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (16 - 54 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -446\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(7) + 5 + 2 + (sqrt(343) + 1 - (3*1*sqrt(7) - sqrt(7))))*5.\nAnswer: 270 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 142\/(-22) + 18468\/(-1188)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 13 = -3*c, -62556*s + 62560*s - 8 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 20592?\nAnswer: -1\/6864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -15.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, m: 6, x: 1, u: 4}. What is prob of sequence ua?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 12) to base 16.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-32 - -19)*((-2)\/(-4) - 1). Sort 5.46, p, -5 in increasing order.\nAnswer: -5, p, 5.46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 7*j + 3*k - 1002, -2*k = 5*j - 1003. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -n - 4*n + 60, 0 = 4*n + 6*v - 48 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let d(b) = b**3 - 41*b**2 - 97*b + 468. Let t be d(43). Put g, t, 8 in descending order.\nAnswer: 8, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25063)\/1059)\/(((-1)\/3)\/(1 - 2\/1))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 4*m**2 + 0*m**2)*(-3*m + 4 - 4)*(-411*m + 813*m - 403*m + 887).\nAnswer: 15*m**4 - 13305*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from turuuxt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284821 is divided by 222.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6884600)\/447499*(-39)\/(-4).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.90049 + -0.9. Round m to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - s, -3*z + z + 4*s + 14 = 0. Suppose 0*u = u - 1. Let w = u - 1. Sort z, w, -4.\nAnswer: -4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1875545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 10 = -2*o + 38, -12 = -4*o + h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -59 * 0.03\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g, -1 = -l + 7*g - 3*g. Which is smaller: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -17*u + 14*u + 6, 0 = -u - 3*p + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170085 and 4899?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + s**2 + 7*s**2)*(1 + 1 - 5)*(0 + 4 - 6).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 928279*l**4 - 3713126*l**3 + 5569694*l**2 - 3713131*l + 928283.\nAnswer: (l - 1)**4*(l + 928283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/504 and -109\/120.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*o**2 - 1085*o**2 + 527*o**2 + 38*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -9. Let l = n - -3.87. Let p = 0.13 + l. Which is the third smallest value? (a) -3\/5 (b) p (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/144 and 15\/12*378\/(-3645).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (830\/(-3486))\/((-10)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 12 = -8*o. Let n(f) = -2*f**2 + 9*f - 4. Let m be n(6). Let h = o - m. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + 1.2. Let a = p + 7.6. Let d = a + -7.1. What is the smallest value in -2, -0.8, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u - 5*u + (40 + 221 - 38)*(-u + 0*u + 2*u).\nAnswer: 220*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1346c - -1?\nAnswer: -1346b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h + 18. Let r(z) = -z**3 - 7*z**2 - 10*z - 9. Let o be r(h). Let l = 17 - o. Solve 3*f - 8 = -l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 27. Let f(u) = 3*u - 46. Let a(o) = 4*f(o) - 7*p(o). Determine a(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 81 = -5*h, 3*b - 4*b = -2*h - 27. Let r be (-19)\/(-2) + h\/30. What is the greatest common divisor of 81 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 618 divided by -3\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71217 is divided by 398?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*g + 2*t, 2*t - 48 = 2*g - 58. What is the greatest common divisor of g and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 591*s + 590. Determine i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 13013 - 18692. Let q = z + -991. Calculate the greatest common divisor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2. Let f(m) = 21*m**2 + 1. Give u(f(v)).\nAnswer: -1323*v**4 - 126*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(39)*-1)\/sqrt(3))**2 + (sqrt(13) + -1)*6.\nAnswer: 12 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 30 = -4*w + 5*c, -2*c = -w - 23. Let x = -300 + 10. Let r be x\/(-35) + 6\/w. Solve 3*h + 4*b + r = 0, -3*h - 10 = -8*h - 2*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*y - 11*y**2 + 36*y**2 + 5*y**3 - 25*y**2 + 5*y**4 wrt y.\nAnswer: 60*y**2 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320\/3 + 106. Let y be 8\/10*90\/(-120). Put d, -4, y, 14 in increasing order.\nAnswer: -4, d, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87.2 - -90.2. Put -4, 0.05, p in descending order.\nAnswer: p, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-28) - (2 - 10 - (-310)\/40). Let u = -6 + 5.6. What is the biggest value in j, -2, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/4*(152\/80)\/(-19) - -1?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**16*w*w\/(w\/(w*w\/((w**5*w)\/w))) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/14)\/q*q))\/(q**(-13)*q))\/(q\/(q**5\/q))**(8\/3) assuming q is positive.\nAnswer: q**(295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1 = -120*v + 123*v, 2*v - 51 + 25 = y - 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) -5 (c) 2\/3 (d) 1500 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6.4. Let d = 144 - 721\/5. Which is the third smallest value? (a) 0 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*1)\/((-14)\/((-42)\/6)). Solve -4*v = 2*a + t*a, 3*v = 4*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(88) + 3*sqrt(88)) + sqrt(88))\/sqrt(8) + -4 + -3 + ((-4*sqrt(275) - sqrt(275))\/sqrt(5))\/sqrt(5) + -5)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 7*o = t + 2, 5*o = t + 8. Let i = -2 - 2. Let a(x) = -x - 1. Let u(b) = 2*b + 1. Calculate i*a(n) + t*u(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 28, -5.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09159108 times 10?\nAnswer: -0.9159108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21154, -39821, -58488, -77155, -95822, -114489?\n\"Answer: -18667*m - 2487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104001 - 2?\nAnswer: -104003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/5, 4\/3, -89, 0.3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -401*q**3*u + 3750*q**3*w**2 - 16*q**3 + 5*q**2*u*w + 17*u*w**2 wrt w.\nAnswer: 7500*q**3 + 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 362\/295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.53\nAnswer: 3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -0*z + 5*z. Let l be ((z\/3)\/(-1))\/1. Let n = -11 - l. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -391\/5 + 78. Let z = -9.3 - -8. Let a = z - 3.7. What is the second biggest value in a, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48 + -3a?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1557743200 to the nearest one hundred thousand.\nAnswer: 1557700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -237*-0.082\nAnswer: 19.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 23*j\/4 - 45\/2.\nAnswer: -(j - 18)*(j - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26218 + -25660. What is the lowest common multiple of y and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 5920\/1007?\nAnswer: 5920\/1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 116413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**8\/168 - f**4\/6 - f**2\/2 + 4. Let j(v) be the second derivative of n(v). What is the second derivative of j(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -14 - 49. Calculate the remainder when 123 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71333418?\nAnswer: 2, 3, 13, 31, 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34013.\nAnswer: 7, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1248784 (base 12) to base 10\nAnswer: -3581524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 109*l**2 - 86*l + 573. What is the units digit of t(110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 4. Let y be (-8)\/(-28) + (-5)\/v. Suppose -4 = -4*g - 4*i, -3*g + 3 = 4*i - y. Solve g = -f + 2*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hphp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -466 - -470. Solve -p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (6 - 1) - 3. Suppose 3*w + w - 3 = a*s, -s + 3*w = 5. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 90991443.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) - (-132)\/24. Let r = 1 + -0.9. What is the closest to r in w, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 + 4. Suppose 3*l - 14 = -2*o, -2*l - 7*o = -2*o - 24. Let r(z) = 7*z**2 + l*z**3 + 0 + 6 + 1. Give -4*r(m) + 7*y(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (341018\/60 - 34\/255) + (-2)\/(-4)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 3*q**2 - 89*q - 40. Calculate the least common multiple of i(15) and 1650.\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (4 - 0 - ((47 - 28) + 0)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461 - 4?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 4*h + 3. Let x(t) = t. Give -w(y) - 2*x(y).\nAnswer: -y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 10 = -2*n. Suppose 21 = 3*p - n*y, p + 0*p + y = 0. Suppose -76395 = -4*g - 0*l - l, p*g + 4*l = 57280. Round g to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 32. Let s(v) = v**3 - v + 114. Let i be s(0). Let h = i - 79. Solve -5*r - 3*n = -29, j*r - 3*r = -5*n + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 20896205*j**3 - 188066115*j**2 + 564198615*j - 564198750.\nAnswer: 5*(j - 3)**3*(j + 4179250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + 100?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3185143 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/25 - 38\/(-10). Suppose 5*q + 4*g + 24 = -16, -2*q + t*g = -12. Which is bigger: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*x - 17895 + 53677 + 60954 + 7840 = 0 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 - 3 = -15*d - 5*w, 2*w - 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 901969 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:26 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 53, -15 in descending order.\nAnswer: 53, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*j**4 + 0*j - 2\/9*j**3 + 0 + 0*j**2.\nAnswer: -2*j**3*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*r - 110, -184 = -5*k - 2*r - r. Calculate the remainder when 1177 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7 + 5 - t + 0*t + 3*t**2. Let o be a(2). Suppose 3*r = -2*x + o, -7*x - 3*r + 29 = -2*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.674633 centimeters to millimeters.\nAnswer: 66.74633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 4}. What is prob of picking 2 m and 2 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13446 is divided by 4479.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1487)\/(-426) - ((-27)\/(-108))\/(3\/(-6)).\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -24, -5, 20?\n\"Answer: 3*i**2 + 4*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from ffduwmwx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310526446 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 550 + -543. Sort p, -1\/12, 0.5 in descending order.\nAnswer: p, 0.5, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96, 98, 102, 108, 116, 126?\n\"Answer: x**2 - x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s + 6. Let d(b) = -b**2 - 18*b + 44. Let m be d(-20). Suppose -m*v - t - 11 = -0*v, v + 5*t = s. Sort 0, 4, v.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9261784 and 784?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m**2 - 21*m + 8. Let y be q(5). Factor 32 + b**2 - 4*b**y + 20*b - 4*b**2 - 4*b**2 - 8 - b**2.\nAnswer: -4*(b - 2)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + f = -5, 4*s = -2*f - 11 - 7. Let z be s\/(-18) - (-7)\/9. What is the greatest common divisor of 3 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g**2 + 100*g**2 + 147*g**2.\nAnswer: 211*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 21*o = -9618. Let p = o - 686. Which is smaller: p or 1\/126?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439933465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 3, d: 3, r: 2, w: 3}. What is prob of sequence rt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 2*o + 2. Let t be 3*(-5 - -4) - -3. Let i be r(t). Sort 5, 0, i.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10708764, 10708765, 10708766?\n\"Answer: u + 10708763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 914 or 634047\/694?\nAnswer: 634047\/694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 11. Is y(14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 + 0 = 5*l, -3*l - 6 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*10*(-5)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3004, -2873, -2756, -2659, -2588, -2549?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2434750122*-5\nAnswer: -12173750610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225839*w - 225845*w + 72 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1716 and 2288?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 6769a20?\nAnswer: 6769a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((6 - -2) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/35677 (b) -0.1 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 38 = 3*i, x - 8 = 30*i - 31*i. Let r(d) = 39*d + 1. What is the remainder when r(1) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11601564?\nAnswer: 2, 3, 13, 31, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/5 - 2*b**5\/15 - b**4\/12 - 22*b**2. What is the third derivative of s(a) wrt a?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*p - 7706, 0*p - 4*p = -3*d + 5807. Suppose -d = y + 1041. Round y to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -91*o**5 - 9*o**2 - 4. Let y(s) = -271*s**5 - 27*s**2 - 11. Let z(g) = 11*d(g) - 4*y(g). Find the third derivative of z(h) wrt h.\nAnswer: 4980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1600\/(-35) + 2 - (-4)\/(-14). Let z = p - -65. What is the highest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -944 - -991. What is the remainder when 272 is divided by q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*d**2 - 14*d**2 + 14*d**2 to n*d**2 + c*d + o and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Suppose 3*k = -3*g + 51, h = g + 2*k - 8 - 14. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z**2 + 28*z - 2*z**2 + 20*z + 4. What is the units digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:14 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/6*(-208)\/20. Suppose 3*t + q - 2 = 0. Let r(k) = -8*k + 19. Is r(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3192425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -1 + 9, 228 = 2*a - 3*n. Let i be a\/2*(-10)\/(-15). Find the third derivative of 22*o**2 + i*o**3 + 19*o**2 - 24*o**2 wrt o.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(200)*2 + -1*(-1 + sqrt(200)) - (sqrt(200)*2 + -2 + (-3*(3 + sqrt(200)) - sqrt(200))))**2.\nAnswer: 1020*sqrt(2) + 2089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4)**34\/(p**31\/p**(-2\/13)) assuming p is positive.\nAnswer: p**(-1731\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -56*s. Let z be q(1). Suppose 5*a - v + 0*v = 180, -5*a - 4*v + 155 = 0. Let d = a - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/372*(-2)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 274, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 32 = 5*l - 0*y, 0 = 4*l - y - 22. Let c = l + 26. Suppose w = -3*w + c. What is the least common multiple of 6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -64*x + 6. Let s(z) = 64*z - 6. Let i = -107 + 102. Let t(f) = i*s(f) - 4*m(f). Does 7 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 274*s**2 - 4279*s - 2730.\nAnswer: (s - 105)*(s + 13)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1\/2. Let y be (3\/(-2))\/((-14)\/(-4)). Let u(w) = -w**3 + 9*w**2 - 7*w - 11. Let n be u(8). What is the nearest to -1 in p, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21*m**2 + 2*m + 1. Let f be x(-2). Suppose 15 = 6*n - f. Solve -b + 5*b - n = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -810 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 132 + 132.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -242, -673, -1104, -1535, -1966, -2397?\n\"Answer: -431*l + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(39\/(-54))*(-14)\/(-6). Let v = -14 - u. Let d be (-166614)\/(-49) - (-3 - (-92)\/v). What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**2 - 12156*r + 97406. Determine f(8).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -617471, -617473, -617477, -617483?\n\"Answer: -s**2 + s - 617471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314556*t**3 - 2*t + 7936559 wrt t.\nAnswer: 943668*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93299373*q*u**2 - 187*q*u - 59*q - 9*u - 6 wrt u?\nAnswer: 186598746*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w + 1\/6*w**4 + 2*w**2 + 0 + 0*w**3. Let l(p) = -27*p**2 + 25*p**2 - 2 + 2. Give y(l(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10001001 (base 2) to base 4\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*n*r**2 + 2*n*r - 12*n - 3100*r**2 wrt n?\nAnswer: -69*r**2 + 2*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuuuuuuquu. What is prob of sequence uq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -6, -4*w + 3*q = -3330 + 444. Suppose -f = 8*f - w. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864279.97 + -0.292?\nAnswer: 864279.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Let f(b) be the first derivative of 2*b + 0*b - z - b**4 + 0*b**4. Differentiate f(u) wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 2100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 4\/9, 0.3, -1\/2, -5 in decreasing order.\nAnswer: 4\/9, 0.3, -1\/2, -7\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1111 (b) -63 (c) 29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -102 and -1344\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5856816?\nAnswer: 2, 3, 7, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -4263, 2\/13, -0.1, 3, -3\/7?\nAnswer: -4263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = w. Suppose 5*f - 5*g - w = 2*f, 0 = 4*f + 5*g - 42. Let a be f\/(-6)*12\/(-8). Solve a*u = -0*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) 3 (c) -1\/7 (d) -0.1 (e) -84\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 274, 262, 248, 232, 214?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpbpbpppppbpbpbppp. Give prob of picking 4 p.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**2 + 471*z - 42. Let i(s) = -6*s**2 + 236*s - 19. Calculate 4*h(c) - 9*i(c).\nAnswer: -2*c**2 - 240*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362*g*j**2 + 39*g*j*y + g*j - g*y + 2*j**2*y + j**2 + 2*j*y - 1 wrt y?\nAnswer: 39*g*j - g + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/5 + -3. Which is the nearest to p? (a) 20\/7 (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 166 = 12*o - 218 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 8492093437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 2*h + 2. Determine r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 7. Let j be i(5). Does 15 divide 4\/6 - j\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/6 + 37*t**2\/2 + t + 150. Let o(x) = -3*x. Determine o(r(w)).\nAnswer: -3*w - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 3*t**2 + 3*t + 4. Let f(d) = 21 - 17*d**3 + 3*d**2 + d + 18*d**3 - 2*d**2 - 20. What is -3*f(k) + n(k)?\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6944 + t**2 + t**2 + 56*t - 6949 - 11*t**2 - 5*t**2.\nAnswer: -14*t**2 + 56*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -485\/6, 271, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.025 and 0.8?\nAnswer: 0.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 - 3 = 0. Calculate the least common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966*a + 972*a = 0. Let v = -19 - -18.81. What is the fourth smallest value in v, 0.5, a, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 less than -2?\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059.\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 15*w**2 - 42*w - 17. List the prime factors of g(18).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*5\/(35\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66079655*w**5 - 303*w - 32636?\nAnswer: 1321593100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740729 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 1, f: 5, y: 1}. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3510)\/55)\/6 + 11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 54717823*n**3 + 304983*n**2 - 33887*n + 33887. Let j(d) = 4844*d**3 + 27*d**2 - 3*d + 3. Determine 33887*j(m) - 3*t(m).\nAnswer: -4841*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-1713 + 4) + (-1 - 5).\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136 - 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -456, -496, -538, -582?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 20*m**2 - 19*m + 9. Let v be g(-19). Let x = 36 - v. Does 30 divide 1516\/18 + (-6)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/78)\/((-480)\/(-288)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(2\/276). Suppose 36 = 2*n + 4*o, 5*n - 2*n = 2*o + d. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2280 + -930. Let z = -1350.000001521 + c. What is z rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/120*(-207)\/(-230))\/(225\/6).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/(171\/(-95))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -158. What is the nearest to 10 in v, 2, 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/48 - (-2 + 1 + 2). Suppose 0 = 4*d + 13 - 17. What is the second smallest value in n, 0.3, -1, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s - 2. Let i be l(-4). Suppose 2*g + 4 = 0, -i*g = -3*a - 0*a + 16. Calculate the smallest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 6. Let h = 354 + -332. Calculate the lowest common multiple of -15*(3 - (-22)\/m) and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 863*c**4 - 106707*c**3 + 2133351*c**2 - 9921204*c = 0. Calculate c.\nAnswer: -708, -173, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 6*z + 5. Let q be i(-7). Suppose q = 3*w - 72. Suppose w + 10 = p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 - 13*g - 6. What is the units digit of t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - 23 - 13 - (1 - -9 - 16).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - a = 11, -585 = -15*f - 5*a - 560 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -201*l + 5002. Determine x(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(171) + 4 + -3*sqrt(171) - (-3 + sqrt(171) + 4)) + 1))**2.\nAnswer: -648*sqrt(19) + 13995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5121 + -20487\/4. What is the nearest to 1\/2 in -3, -5, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**0)**(-2\/63))**(1\/3)*(((m\/(m\/m**(1\/5)))\/m*m)\/m**(2\/13))\/(m**(2\/9)\/(m\/(m\/m**(-4\/3)*m*m))) assuming m is positive.\nAnswer: m**(-43373\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 12*c - 14. Let l be p(-10). Suppose -2*o + 2 = -l, 0 = -u + o + 136. What is the highest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1005 and 18.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -45528178 divided by -4\nAnswer: 22764089\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. Suppose 2*n + q - 19 = 0, -n - q = s*q - 7. Solve 0 = -5*g + n, -3*o = 4*g - 27 + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2834\/10585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + (1 - -3) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 + l + 3*l**3 + 2*l**2 - 7*l**2 + 4*l**2. What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 + 3?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let b(c) = -23 + 21 + 2 + 306*c**2. Determine b(h(u)).\nAnswer: 1224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 16, 83, 176, 295, 440?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41518.812423 from -0.2.\nAnswer: 41518.612423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8.6 - -217.1909\nAnswer: 225.7909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.527734 years to millennia.\nAnswer: 0.001527734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79539 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471047374 to the nearest integer?\nAnswer: 21704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 - 110. What is the units digit of 10488\/i - (-2)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219402, -8, 3 in decreasing order.\nAnswer: 3, -8, -219402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.9 + -7.1. Which is the nearest to 1? (a) 0 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039 - 2*s + 540 + 557.\nAnswer: -2*s + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27573541 < 27573539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05327 - 1892.\nAnswer: -1891.94673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f**3 + 7 + 2046*f - 2046*f)*(8 - 2*f - 8).\nAnswer: -38*f**4 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l + 38. Let y be j(-7). Let k(i) be the first derivative of -1\/3*i**3 + 6 - 3*i + 0*i**2. Give k(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152077 = -12*p - 152341 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222110 - 0?\nAnswer: -1222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 643*y + 1890 with respect to y.\nAnswer: 643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*x = b - 2, -x = 0. Sort -3, b, 5, -1.\nAnswer: -3, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**4\/20 - 2*l**3\/5 + 5. Factor w(z).\nAnswer: -3*z**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - 0.3. Let n be -5 + (2\/(-12))\/((-10)\/320). Which is the nearest to -3? (a) o (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/4 + 25629*c\/2 + 218948547\/4 = 0. Calculate c.\nAnswer: -8543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -29, -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 2484\/486*(-99)\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 4*z - 0*z + 4*k, 14*z + 3*k + 223 = 8*z - 8*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 24. Let r be q(-6). Suppose -275 = -r*f + f. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 33. Which is the smallest value? (a) -0.2 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10749 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 242 (c) -0.02 (d) -0.1 (e) -0.5 (f) -10 (g) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + 2\/6. Let l = 1138.95 + -1138.35. What is the closest to w in 0.06, -0.3, l?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 26. Sort f, -3\/2, -0.4 in decreasing order.\nAnswer: f, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2833 - 1.29. Round y to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124087\/308 + 1611\/4. Let s be (-3 + (-15)\/(-5))\/(24\/4)*-1. Is n at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1.6, -1\/7, 4\/9, -63?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y - 2*k, -4*y + 2*k - 4*k = -16. Let d be 1\/((5\/y)\/5). Solve -25 = -d*x + 7*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2861.59 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-1))\/((-7)\/(-98)). Suppose m - 61 = -5*y, 4*y = 4*m + y - g. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let c(f) = -987608635*f. Calculate v(c(u)).\nAnswer: -975370815926563225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose 2*t + a - 2 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 4*v - 12, 0 = -4*l - v - 35 + 51 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18958258 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m*m*m**19*m))*m)\/m)\/(m\/m**(-15\/4))*m**(-18)*m**17\/m)**27 assuming m is positive.\nAnswer: m**(1755\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829483904 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75152.\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 1. Let c = -96 - -89. Let x be 14\/(-49)*c + (1 - -1). Give z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836875 and 5625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-7 - 3)) + -12 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -515 or 2?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73789.39 years?\nAnswer: 885472.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41815 is divided by 314?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.04. Let o = n + -2.96. Let y = -0.2 + o. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(192) - -1*sqrt(192)))**2.\nAnswer: -34560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1596 and 17\/7144.\nAnswer: 150024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (7 + -30 + (50 - 35) - -9)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/76 and 71\/75255224.\nAnswer: 1429849256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5000)*-2 + (sqrt(50) - (sqrt(150)\/sqrt(3) - sqrt(50))*2)**2.\nAnswer: -100*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -590.2054.\nAnswer: -590.2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18131 divided by -99?\nAnswer: -18131\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:51 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33135 + 13463?\nAnswer: -16342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 - 2*n + 1. Calculate f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110001221 - -20?\nAnswer: -102110001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001195 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**2 - 11*d - 14. Let p(c) = -5*c**2 - 5*c - 7. Let w(a) = 6*i(a) - 13*p(a). What is the remainder when 20 is divided by w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 126.5. Let s = 0.13 + -0.23. Which is the second smallest value? (a) k (b) 1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2. Let x(r) = 8 + 6 - 5*r - 14. Give x(t(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -127.9 times 0.5\nAnswer: -63.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from vaubvbavbbvvvv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295 and 4.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2131863034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367920608 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*y + 1883, 3*j + 17 = 14. Is 37 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 641895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 289*k - 1428*k - 74430 = 0 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + (-92)\/(-6). Let k(y) = 25*y**3 - 1. Let d be k(-1). Let v = -25 - d. Solve 3*u + v = p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 22?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -2\/7 (c) 2\/11 (d) -34 (e) -1 (f) 2 (g) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*k = -0*k - 21, -3*p + 29 = 5*k. Suppose -7*y = -p*y - 8. Let u(f) = f - 5. Let m be u(10). Solve -m*b - 14 = 2*c, y*b + 21 = 3*c + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121018231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4) - -1)\/1. Let u = 158.93 - 158. Let g = 0.07 + u. Is x greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -950*k**5 + 872*k.\nAnswer: -19000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 11 + s + 12*s**3 - 5 - 10*s**2. Let j(z) = -z**3 + z**2 - z. Let g(q) = 4*j(q) + v(q). Factor g(m).\nAnswer: 3*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*c**2 - 464*c - 16 = 0 for c.\nAnswer: -2\/59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20029 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u = -9*u + 60 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 8704*r**4 - 21120*r**3 + 12576*r**2 - 2872*r + 228 = 0.\nAnswer: 1\/4, 57\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11607.204 rounded to the nearest 10?\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 4*l + 21. Let w be 105\/10 + 273\/(-78). Calculate k(w).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26160 by 5.\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 117. Factor -6\/5*o**2 - 2\/5*o**m + 0 - 6\/5*o**3 - 2\/5*o.\nAnswer: -2*o*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 16, 31, 52, 79?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*b + 345 = 1630. Solve -5*d + 35 = -4*d + 5*s, -b*d = -s - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827660 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 30 - 45 = 0. Let n = 4 - -3. Let v be n\/4 - 9\/(-36). Solve -3*p + 2*z = i, -3 = v*z - 3*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 0 + sqrt(1539) + -2 + sqrt(1539) - (1 + sqrt(1539) + -1 + sqrt(1539) - sqrt(1539)) - 6*(3 + sqrt(1539)*-1))**2 + -2.\nAnswer: -2880*sqrt(19) + 98894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*i + 19, -4*i + 11 = j + i. Let c(s) = -16*s + 2. Let n(d) = 15*d - 1. Let g(y) = 2*c(y) + 3*n(y). Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16544 and 462?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132335513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:57 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/25 - o**4\/10 - o**3\/15 - 6. Factor q(c).\nAnswer: -c**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/5*(-21 - -6). Suppose 245*y = 243*y - v. Let a(x) = x**3 + 9*x**2 - x - 13. Give a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-90)*21*(-36)\/21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.501524 less than 113384298?\nAnswer: 113384298.501524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32899987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - (-5 + (-66)\/(-12)). Let s be 4 - ((3 - 4) + m). Solve -5*b - s + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 100 = 37*i. Let s be ((-1120)\/i)\/(4\/(-2000000)). Round s to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 16*t**2 - 2*t + 5. Let v = -61 - -149. Suppose -4*i = -5*a - v, -5*a - 5*i + 0*i - 70 = 0. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -25. Let d = 14.91 - p. Let a = 0.090039 + d. Round a to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 4.08. Let x = 570 - 1001. Let k = 431 + x. Sort s, k, 0.1 in decreasing order.\nAnswer: s, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(175)*2 + -5 + 2 + 4 + -5.\nAnswer: -2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c1 - -1?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/6 - 3*a**2 - 72*a. Let d be r(2). Let b = -25 + 20. Is d smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 1404 = -5*k. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-18))\/(8 - 498\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8586 + -8573. Which is the nearest to 0.4? (a) 0.4 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmt when three letters picked without replacement from tmznmmmt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 376381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40590 and 2805?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8090? (a) -4 (b) 0.4 (c) -4\/7 (d) -2\/17 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24433 - 8906. List the prime factors of k.\nAnswer: 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 7*d + 8*d = -228. Let j(f) = -f - 3. Let t(z) = -28 - 25 - 12*z + 19. Calculate d*t(y) + 68*j(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 divided by 369?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 - 71 + 187)*((-4 + 4 + 1)*(-3 + 1 + 3) - 1 - 2 + 2 - 2 + 1 - 3)*(-1 - 2 + 4)*(-3*v - v + 2*v).\nAnswer: 1968*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8481\/21215 - -1\/4243. Which is the closest to 2? (a) z (b) -34 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5*8\/(-64).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -17.83. Let d = l + 0.03. Let q = 0.18 - d. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (477*a**2 + 16 - 10 - 263*a**2)*(-1 - 2 + 2) as q*a + l*a**2 + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-374)\/(-4)) - 275429\/(-187) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455633571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525*a**2*p**3*w**2 + 7*a**2*p**3*w - 15*a**2*p**2*w**2 - 52*a**2*p + 11*p**3*w wrt w.\nAnswer: -1050*a**2*p**3 - 30*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 44*o - 5 = m, m + 11 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18141931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -568.51 - -565. Let t = -3.91 - m. What is the biggest value in 2\/9, t, -0.09?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -467*l + 1402. Let i be k(3). What is the nearest to 0.014 in -1\/3, i, -19\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 52*v - 68. Solve -v*p - 7 = -22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379 - 5133 = -474*a + 105*a - 257*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220 + -20121200002?\nAnswer: -20122000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2116*t**5 - 3*t**2 + 2*t - 177 wrt t.\nAnswer: 126960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 2*q**3 - 1\/2*q**4 + 2*q - 1\/2.\nAnswer: -(q - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**9\/15120 - r**8\/6720 - r**7\/1260 + 7*r**4\/24 + 5*r**2. Let p(v) be the second derivative of j(v). Factor p(x).\nAnswer: x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 4*x**2 - 2*x + 5. Let h be v(2). Let w(t) = -t + 35. Calculate the remainder when w(h) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/84 + m**3\/3 - 15*m**2\/14 + 360*m. Suppose q(y) = 0. Calculate y.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1688393*v = 1688476*v + 3652 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408279, 408280, 408281?\nAnswer: 408282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 = -4*u, -2*s + 23 = s - 2*u. Let c = 18 - 11. Suppose 4*q + c + 13 = 0, 0 = -5*a - q + 40. Calculate the remainder when a is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 2, 4*v = -5*o - 165. Let d be ((v\/4)\/(-1))\/1. Suppose 4*w + w = d. Solve -3*k + 10 + w = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 42*a = 450. Let g(j) = 41*j + 241. What is g(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (29 - -2)) + 2. Let x = h + 44. What is the tens digit of ((-12)\/x)\/((-5)\/350)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 0, 9*x = f + 4*x - 13. Let v = 11 - f. Suppose 5*k = k + v*g + 281, -3*g = 4*k - 287. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m + 100. Let s be i(12). Let r = s + -219. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.4 - -314.4. Let h = -281 + s. Which is the third biggest value? (a) 3\/8 (b) 1\/4 (c) -1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -37, -83, -147?\n\"Answer: -9*v**2 - v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 2 + 5*u**2 - u**2 - 4*u - 3*u**2. Let b be (1 + -1)\/(-2 + 3). Let l be 6 - (0 - 1)*b. Determine o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**2 - 7*y + 139. Let c(a) = 9*a**2 - 4*a + 69. Give 14*c(t) - 8*p(t).\nAnswer: -2*t**2 - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-994)\/(-29820)*20\/21)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3*3\/6). Let c = 7 - x. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -326 or -325?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6218, -24874, -55968, -99500, -155470?\nAnswer: -223878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:44 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429379517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30*x**4*x)\/(x**(-7)\/(x*x\/x**24)) assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 9*v - 9. What is n(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2291449*u**3 + u**2 + 63249 wrt u?\nAnswer: -13748694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 6) to base 11.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(4\/(-4))\/(-1). Find the common denominator of (h + 1)\/((-36)\/780) and 22\/18 + 2\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14222 is divided by 80.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 - 2*u - 4. Suppose -9056 + 9096 = -9*r - 11*r. Determine x(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100122, 28, 2, 0, -3 in increasing order.\nAnswer: -100122, -3, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -593 (b) 2\/3 (c) 2\/11 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.5 (c) -0.039 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/30 + k**5\/10 - k**4\/8 + 2*k**3\/3 - 4*k. Let d(t) be the second derivative of x(t). Find a such that d(a) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 + -16 + 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 830539840 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6250202 meters in centimeters?\nAnswer: 62.50202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + g - 4)*(-g + g - 1 - 2*g)*(452 - 105 + 1188)*(3*g + g - 3*g).\nAnswer: -3070*g**3 - 1535*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-1)\/(-1 - -2)). Suppose 4*g - 2*x - 6 = 12, 2*g = -2*x + 18. Suppose a = 3*s - 9, -g*l - 3*s + 48 = -3*l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(6 - 26586\/4446)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let u = 9 + -7. Let b(k) be the first derivative of -2 + 0*k + 1\/2*k**u. What is b(f(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i. Let v be p(0). Let b = v + 2. Let w(m) = 3*m**2 - 3*m**2 - m**b. Let q(n) = 2*n**2. Calculate q(w(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -16 (c) -12 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 + -13 - 1. Let d be ((-422)\/(-6))\/(2730\/9126). Let z = 1545\/7 - d. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 12. Let d(v) = -v**3 - 8*v**2 - 17*v - 30. Calculate the remainder when d(-7) is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**2 - 6*m + 7. Let o be (16\/(2 - -2))\/2 - -1. Is a(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2643344 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2873, 11402, 25611, 45500, 71069?\n\"Answer: 2840*d**2 + 9*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 47*q = -305. Let i = -1 + 1. Put q, i, -1 in decreasing order.\nAnswer: q, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*12\/(-288)*4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29254658999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p**2 + 18174191650*p - 18174191650*p + 28*p**2 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 9*j + 12. Let l be j - (-2 + (2 - 2)). Suppose 0 = l*d - 86 - 94. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 28*j + 0*j**2 - 8 - j**2 - 39*j. Is 10 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from llqyqllslq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23760*k - 43 = 5*u + 23757*k, -23*u + 3*k = 79 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 109.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4230550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*m + 176 = 0, 3*r - 4*m - 136 = -2*m. What is the second derivative of 4*z**2 - 64*z**4 - 4*z**2 + 20*z - r*z**4 - 30*z wrt z?\nAnswer: -1344*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26098 (base 11) to base 4.\nAnswer: -21013333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/721 and 37\/4944?\nAnswer: 34608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37641 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -2466.\nAnswer: -199\/2466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*t - 2487 - 4752 = -1791 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 189.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/4 - 34*u**3 + 201*u**2\/2 + 12*u - 246. Solve f(c) = 0 for c.\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6 + 13. Suppose 3*x + 2*x + 3*t - f = 0, -3*x + 5*t = 9. Solve w + 4 = 2*j, 0*w + 4*j = -3*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-3 - sqrt(13) - (sqrt(13) + (sqrt(1053)*1)**2).\nAnswer: -1053 - 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 193*f**2 + 9*f + 7. Suppose -4*t = 4*w + 15 + 5, 3*t = -4*w - 19. Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10149\/1990*92\/391.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7052118 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0504*10449\nAnswer: 526.6296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + -45. Let d = s + 110. Let x = 47.4 - d. Round x to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3411 and 2434.\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.605 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228982 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**4 - 2191*h**3 + h**4 - 1614*h**2 - 5*h**4 - 1642*h**2 + 113 + 3228*h**2 wrt h.\nAnswer: 48*h - 13146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2 + 3*c. Let u(v) = -7*v + 359. Let q be u(57). Let o(r) = -144*r**2 + 40*r. Give q*d(t) + 3*o(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 1, c: 1, s: 1, w: 1, k: 2}. What is prob of picking 1 s, 1 w, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -698.71, 1\/4, 14, -3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 3, j: 2, u: 5, g: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -75. Suppose -2*s - 3*c - 256 = -c, j*s + 5*c = -509. Find the common denominator of -41\/10 and (4 + s)*(137\/138 - 1).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(108) + (sqrt(108) + -2)**2 - sqrt(108)).\nAnswer: -672 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14569 and 1915169.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49723758 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.1, 2662, 13, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c + 40*c + 20*c - 77*c + 238 + 21*c to x + w*c and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 4*p**2 - 3*p**2)*(-p + 2 - 2 + (3 - p - 3)*(3 + 0 - 5) + 0*p + 3*p - p - 7*p + 16*p + 17*p) in the form m*p**2 + j*p**3 + a*p + i and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271927.9999839639 + 271928. Round y to 7 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.1. What is the second biggest value in i, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/150)\/((-78)\/(-195))\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27029*m**2 + 8236*m?\nAnswer: 54058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1231*h**3 - 1195*h**3 + 2458*h**3 + 26*h as j*h**3 + z*h**2 + d*h + v and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12*18*((-2376)\/192)\/33?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 1 - 2*b - 2*b. Let f be y(-5). List the prime factors of (f - -3)*-2 - -12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 98.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 89 = 3*k, 0 = 5*t + 6*k - 10*k - 92. Solve -3*y - 5*w = -0*w + 32, 0 = -5*y + w - t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(133\/(-266))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f. Suppose -5*v + f = -10. Let c(d) = -d**2 + 8*d - 7. What is the least common multiple of v and c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0 - t - 7\/2*t**2 + 0*t**3 - 31\/6*t**4. What is the derivative of z(n) wrt n?\nAnswer: -124*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((5 - 4) + -4 - -1) + 6164\/(-598)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -155. Let l = 43 + r. Which is the smallest value? (a) 0.2 (b) l (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:51 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 2*p**3 + 2066 - 2057 to n*p + s*p**3 + g + t*p**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/15159 and 161\/702.\nAnswer: 3547206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 712\/(-104) + (9 - 2). What is the second smallest value in c, 9, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -654, -697, -764, -855?\n\"Answer: -12*m**2 - 7*m - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4 - 2196*l**3 - 474441*l**2 - 24002568*l + 397124208 = 0. Calculate l.\nAnswer: -324, -97, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1246 by 1.\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-16 + 4). Suppose 29 + 83 = r*p. Suppose -t + 2*t - p = 0. Calculate the remainder when 41 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-8 - -3)) + (-11 - (-11 - -7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 118. Let i be z(-22). Let f be 1351\/21 - (-4)\/6. Calculate the greatest common divisor of f and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*k**2 - 7*f*k + 11*f*z**2 + 2*f - 466*k**2*z - 2*k**2 - 8*z**4 + 122 wrt z?\nAnswer: 22*f*z - 466*k**2 - 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 85287.378.\nAnswer: 85287.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - 14 - -8) - (-4 - -26).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3835 + 2*h**3 + 3*h**3 - 4*h**3 - 7*h**2 - 10*h + 3831. Determine q(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24720 and 4120?\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138512133 divided by 27.\nAnswer: 5130079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404 and 8?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = -12*m + 969. Suppose -38*c + 19*c = -m*c. Factor c + 2\/3*a**2 + 2*a.\nAnswer: 2*a*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32583 divided by 10861.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2071 - -31621. What are the prime factors of y?\nAnswer: 2, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 20\/(-5) + -21. Is -22 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1959 + -1540. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12002?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 + n**4\/4 + n**3 + 2*n**2. Suppose 32*c - 144 - 48 = 0. Calculate a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24627789 is divided by 337366.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -18*m + 851. Suppose -m*u + 38*u = 70. What is the highest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = c + 1, -10*d - 14 = -4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 20. What is r(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 23 - 1)*(-212*o + 137*o - 241*o).\nAnswer: 9480*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*k - 2, 32 = -4*m + k + 43. Let x(n) = 22*n**2 + n + 1. Let i be x(-1). Suppose 0 = 5*t + m - i. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 2 + (106 - 102).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 607788?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzpmnmc. Give prob of sequence npc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 3550910.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/224 + (-103)\/8. Let n(w) = -w**2 - 12*w + 16. Let d be n(x). Let h(q) = -q**2 + 2*q - 2. Let o be h(d). Let g(j) = j**2 + 4*j - 1. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y + 214. Let l be g(18). List the prime factors of (l\/6)\/((27\/(-9))\/1449).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2 - 8\/(-5)). Let j = -60 + 61. Put 0, l, j in decreasing order.\nAnswer: j, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 - 2*x + 2. Let n(g) = -7*g**2 + g - 1. Calculate -5*n(y) - 4*z(y).\nAnswer: 7*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6577, -13103, -19627, -26149, -32669, -39187, -45703?\n\"Answer: j**2 - 6529*j - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d - 12*d**2 + 5*d**2 + 1 + 8*d**2.\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -266*l**2 - 2836*l - 2835. Determine a(-1).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2669662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1095613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-26)\/(-4))\/(1020\/(-184960)*-952)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 316 - 92. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24*s**2 + 13*s + 11. Let u(b) = -11*b**2 - 6*b - 5. Let a(y) = 6*l(y) + 13*u(y). Calculate a(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*s - 16*f = 168*s - 468, -3*f + 99 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10485 or 41945\/4?\nAnswer: 41945\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102211 (base 3) to base 13.\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*i + 12*h + 124, 21*i - 2*h = 22*i - 11 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-985 + 611 + 552)*(-3*d + 4*d - 6*d).\nAnswer: -890*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -151. Let z(h) = h**3 - 18*h**2 + h - 12. Let w be z(v). Factor -w*o**3 + 0 + 3\/2*o - 9\/2*o**2.\nAnswer: -3*o*(o + 1)*(4*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68116 + -89.9178.\nAnswer: 68026.0822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.2. Let d = n - -5.2. Let g be (-8)\/20 - (-6)\/10. Which is the second biggest value? (a) -0.5 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n**2*r**3 - 5116*n**2*r**2 - 15*n**2*r - 30*n*r**3 + 135963*r**3 wrt n?\nAnswer: -22*r**3 - 10232*r**2 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180711*c**3*f**2*l - 4*c**3*l**2 - 32*c**2*f*l + 6*c**2*l**2 + 229*c*f**2 + 2*l wrt c.\nAnswer: 1084266*f**2*l - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*k = 22, c - 2*k - 140 = -141. Let g(a) = -8*a - 2. Let z(t) = t. What is c*z(d) + g(d)?\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7331138 - 4?\nAnswer: -7331142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-420)\/(-16))\/(-5)*(-488)\/427. Is 166 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 396a4a + 1?\nAnswer: 396a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvssvssvvsvss. Give prob of picking 2 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m + 364. Let u be y(25). Suppose -37*p = -u*p + 34. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 106 = -2*s. What is the remainder when s is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 86634880 divided by -80\nAnswer: -1082936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m**(-2\/17)\/m*m)**44\/((m*m*m*m\/m**(-2\/3)*m*m*m*m)**(9\/5))**(12\/11) assuming m is positive.\nAnswer: m**(-82826\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5620634593?\nAnswer: 7, 802947799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 - 110*t**3 + 31*t**3 + 29*t**3 + 25*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14547262 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1042 and 398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)\/a*a*a**(1\/12)\/a*((a\/((a\/(a*a**(1\/4)))\/a))\/a)**(1\/51) assuming a is positive.\nAnswer: a**(-353\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20599 and -0.2616?\nAnswer: -5388.6984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 - 56*l**3 + 548*l**2 - 840*l = 0. What is l?\nAnswer: -21, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85.5 + 85. Let w be (-1)\/1*(-1 + 4\/(-1)). Which is the biggest value? (a) 0.3 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 10:36 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + ((-126632)\/(-132))\/(1\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*c + 7, 17 = -5*d - 3*c. Sort d, -15\/2, 0.4, 5.\nAnswer: -15\/2, d, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 211046, 211007, 210968, 210929?\n\"Answer: -39*o + 211085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*v**2 - 3 - 2*v + 3 + 12*v**2 + 15*v**2 to the form y*v**2 + b*v + k and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqggqgqynnaqn. Give prob of picking 1 q, 1 y, and 1 n.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1292762 - a?\nAnswer: 1292754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 472223784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00180296 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Let g be (-14 - -2)*3\/(-9). Solve -4*m - h + 7 = g*h, 0 = -m + h - w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 9:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1327 - 1327 - 466*j)*(j - 4*j + 4*j) + (-2 + 2 - 2*j)*(3*j - 4*j + 2*j) as a*j**2 + p*j + y and give a.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(3\/7)*s)\/s*s*s\/(s\/((s\/((s*s**0\/s)\/s))\/s)))\/(s\/((s\/s**(-1\/3))\/s)*s\/(((s**(-2\/5)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)\/h)**34\/(h**0\/h)**49*h**(-2\/7)\/(h*h**(-1\/4))*h*h*h\/h**(2\/13)*(h\/(h*h**(1\/10)*h))\/h assuming h is positive.\nAnswer: h**(26773\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4359834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/950 and -137\/4380.\nAnswer: 416100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s + 12. Let f be z(5). Solve f - 27 = -i - 5*j, 3*i - 2*j = 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 62\nAnswer: 13\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675940 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 368594 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.92179*-3\nAnswer: 5.76537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p = -201*p + 32 - 1144 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 32*x**2 + 32*x + 95. Calculate r(-31).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 90 + 110 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5*(0 + sqrt(242)) + 4 + sqrt(242) + 3 + sqrt(242))*1)**2.\nAnswer: -132*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(2 + (-20)\/12). Let t be (k\/((-2)\/(-10)))\/(-1). What is the greatest common divisor of 35 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 4, -16.\nAnswer: -16, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -31, -84, -191, -370, -639?\n\"Answer: -3*p**3 + 4*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 55 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10327569 is divided by 1290940?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2469, 27, 37 in increasing order.\nAnswer: -2469, 27, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2. Let j(s) = -34*s**2 - 8*s + 5. What is j(a(h))?\nAnswer: -136*h**4 + 16*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/16*(30 - 5168\/190)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 382*t**2 + 6179*t - 196. Determine z(-206).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 3 (c) 4003 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14*c - 11*c + 11 = 0, -c - 4 = -2*w. Is -2\/497 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4\/3 (c) 4 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842397 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31333 + -100?\nAnswer: -32033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a302333 + 3?\nAnswer: -5a302330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, o: 1, q: 4, k: 3, c: 3, a: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 42 = 2*s + 3*b, 0 = 5*b + 25. Let r = 34 + s. Calculate the lowest common multiple of r and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 686 + -632. Calculate the least common multiple of h and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:58 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b. Let h be n(1). Suppose 0 = 2*g - 58 - h. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.977527ns to minutes.\nAnswer: 0.00000000014962545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 110 - (7 + (-8 - -2) + 13 + -3)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -10. Suppose -11*r = -h*r + 824. What are the prime factors of 5\/(5\/r)*4\/8?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 353*n**3 - 5*n**2 + 3*n + 2. Let w be c(1). Let u be (-81)\/162*(1 - w). What is the greatest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70978 or -70964?\nAnswer: -70978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 13) to base 12\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - 53*m**2 - 193*m - 3801. Determine g(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14972758873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1727, -1, 5 in descending order.\nAnswer: 1727, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-4) + 33\/(-10). Let r be 105\/(-100) - 3\/(-12). Let z = u - r. Which is the smallest value? (a) 0 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-4)*1228\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - (-20)\/6. Let u = 76 + -81. What are the prime factors of 0\/u - -1*l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4690, 9261, 13832, 18403, 22974, 27545?\n\"Answer: 4571*a + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172990709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose 5*y - 85 = -5*q, 2*y = -0*q + i*q + 38. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 120 + 107)*(13*g + 34*g - 12*g).\nAnswer: 10115*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 40*r**2 - 239*r + 630.\nAnswer: (r - 45)*(r - 2)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -41, -167, -425, -863?\n\"Answer: -8*j**3 + 6*j**2 - 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/6 - d**3\/6 + 3215*d**2. Suppose 6*i - 10 = 4*i. Let g(x) = 1 - x + i*x - 2*x + 3*x. Calculate -2*g(l) - 3*n(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-7\/10)*(k\/((k**(2\/5)*k)\/k))\/k*k*k**(-1)*k*k*(k**(-3\/4)\/k*k\/k**5)**36 assuming k is positive.\nAnswer: k**(-823\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 788*c**2 - 1579*c + 1750. Calculate u(-396).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 18 = -9*c. Let r(n) = n**2 - 6*n - 4. Let a be r(c). Let w be 0 - (3 + a - -1). Sort w, 5, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1196 + 1697. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33.07245kg?\nAnswer: 33072450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152292283, 304584567, 456876851, 609169135, 761461419?\nAnswer: 913753703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(12\/96)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 49360965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + 4.1. Let r = -8.3 + 14.4. Let o = l - r. What is the third smallest value in -1\/4, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 - 19*x**2 - 33*x**2 - 18*x**2 + 105*x**2 - 19*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -2099\/9. What is the common denominator of (3\/(-5))\/((-268)\/(-3618)) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 20 = 5*a. Let y = -3188 + 3190. Solve -a*c - y*k + 0*k = -23, -4*k + 16 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 69*b**2 - 27)*(50*b + 53*b + 52*b).\nAnswer: -10695*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000111745 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - -4) + 21)*7\/4. Suppose 0 = -o + 15*o - w. Suppose 0*j + n - 2 = -j, -15 = 5*n. Solve o*c = -j*f - 21, -f - 1 + 0 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 739*x - 22. Let t(b) = -1477*b + 51. Determine -7*l(r) - 3*t(r).\nAnswer: -742*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/6 - 4 - (-10)\/6. Suppose 2*f + 5*q - 101 = 0, 159 = 2*f - n*q + 37. Let k = f + -58. Solve -2*g - 3*x - 20 = 0, g - 3*x - 8 = -k*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t - 475685 = -457205 for t.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/811 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:30 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**6 - l**6 + 2*l - 43*l**2 - l + l**6 wrt l?\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -499*j + 2. Let r(a) = 24298*a. Calculate r(f(m)).\nAnswer: -12124702*m + 48596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 16. Solve -x*b + 7 = -3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2691.\nAnswer: 2\/2691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.3*-3.07\nAnswer: -16.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0840427 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86100*k - 86105*k + 20 = -5*b, -k = -15*b - 130 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10648 - 10650. Which is the third smallest value? (a) 141\/2 (b) u (c) 11\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -10, -12, -2, 26, 78, 160?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/99369 and -50\/70047.\nAnswer: 4272867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 6685. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -832 - -835. Find the third derivative of 2*m**3 + 40*m**3 - 20*m**2 + 42*m**c - 130*m**2 - 9*m**3 wrt m.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24667 take away 6?\nAnswer: 24661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*w - 7*w + 695, 350 = 2*l + 2*w. What is the greatest common divisor of 918 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -2\/9 (c) -3\/7 (d) -9\/13 (e) 0.1 (f) -62 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 62 (b) -0.3 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z + 5. Let o(s) = s**3 - 6*s - 6. What is -6*c(a) - 5*o(a)?\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 435*d**3 + 2614*d**2 + 7*d - 99. Determine m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54174*f - 21196 with respect to f.\nAnswer: -54174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10459 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16*-2*((-8)\/36)\/(454\/(-681))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*m - 4790 = -0*m, -m - 4790 = -5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n - n**2)*(-1 + 5 - 6)*(-3 - 2 + 3) to c + l*n + w*n**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2}. Give prob of sequence zs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m - 3. Let c be l(-7). Let q(x) = -6 + 3*x**2 - 5*x + c + 4*x**2 + 0. Let a(u) = -8*u**2 + 6*u + 2. Give -5*a(n) - 6*q(n).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 - w - 1. Let z(p) = -22*p. Let r be z(-1). Suppose b - r = -l - 27, 5*l + 25 = 5*b. What is n(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.8 - 48. Let z = -5 + s. Let f(p) = p**3 - 4*p**2 + p + 2. Let r be f(3). Which is the second smallest value? (a) r (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {c: 2, l: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)*w\/w**(-1\/23)*w\/(w\/(w\/(w*(w**(-12)\/w)\/w)*w))*w**(2\/13) assuming w is positive.\nAnswer: w**(15127\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o = -2*n - 253*o + 130*o + 11, -65 = -5*n - 5*o for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 767475 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, 5\/6 in ascending order.\nAnswer: -0.4, -0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(7\/(-42)) - 582. What is the remainder when (-6)\/9 + z\/(-12) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2761, 10960, 24623, 43744, 68317, 98336, 133795?\nAnswer: 174688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/17, 3, -2\/29, -177.\nAnswer: -177, -2\/29, 2\/17, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8754 = 5*h + h. Let g = 2444 - h. What are the prime factors of g?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 8. Solve -3 = -h, h + j = -5*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 1, v: 1, j: 1, g: 1}. What is prob of sequence yg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(2\/(-60)*6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 20 = 0. Suppose -5*k + 10*k + 15 = -5*y, 13 = i*k - y. Find the third derivative of n**3 - 3*n**k + 4*n**2 - 3*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 9776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8140)\/(-1295))\/(-2*(-20)\/(-28)).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110)\/44 - (-21)\/7. Determine z, given that 0*z + 0*z**3 + y*z**2 + 0 - 1\/2*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745 (base 12) to base 6.\nAnswer: 4525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1059 and 5.\nAnswer: 5.1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1229, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(22)\/sqrt(2))**2)*3*2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1615*r - 11230 - 1764 + 7141 = 15142 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*i - i**2 - 289*i**4 - 2 + 141*i**4 + 146*i**4 to j*i**2 + n + c*i + t*i**4 + l*i**3 and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 321*o - 1272.\nAnswer: -3*(o + 4)*(o + 424)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37500 * -802.\nAnswer: -30075000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/6 + 18*c**2 - 1. Let x(r) be the second derivative of d(r). Let m(b) = 4*b. Determine x(m(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4540 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 459*b**2 + 457*b**2 - 13*b - 3*b + 4*b to s*b + y*b**2 + g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**2 + 2. Let m(b) = -b**2 - 3. Let l(o) = 2*o**2 + 8. Let a(y) = -3*l(y) - 8*m(y). Give a(r(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5 and -53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18883 is divided by 9432?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*g + 69, -3*k - g = 2*k - 192. Let b = 66 - k. Solve -3*i - b = 3*m, 3*i - m = -0*m - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10) - 0)*(-1820)\/39?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 4*o**2 - 15*o - 6. What is the units digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -880*k + 903*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 14. Let d be s(10). Solve 19*x - d = 15*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/84 and 89\/168 - (399\/(-28) + 14).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/27 - -11\/54. Put 28, 1, i, 1\/4 in descending order.\nAnswer: 28, 1, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 10. Let q be (-8)\/(-36) - 70\/(-9). Let m = q - 1. What is the remainder when m is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*g + 100 + 84. Let s be -5 - (-1 - (0 + -1)). Let y(z) = 22*z + 106. Let a be y(-5). Sort a, s, g in descending order.\nAnswer: g, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + (-270)\/(-6) + 6. Suppose b - 62 = -4*y. What is the smallest common multiple of 50 and y?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59941.13 nanometers in micrometers?\nAnswer: 59.94113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(10\/13)*f)\/f)\/f)**(4\/11) assuming f is positive.\nAnswer: f**(40\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 13*q**2 - 25*q - 336. Determine f(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2 = 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8560836g to nanograms.\nAnswer: 856083600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose 0 = l*r + 2*r - 20000. Round r to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37220017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265 - -265.2. Let y = 0.2 + 0. What is the closest to j in -2, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 4*k**2 + 2*k**4 - 9424*k**3 + 4708*k**3 + 4712*k**3 - 34 as m*k**2 + x*k**3 + j*k**4 + r*k + n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 344*a**2 - 2099*a + 1863. Give t(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 - k - 4. Let w be h(3). Let p = -7 - w. Suppose 2*c + p = 20. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 1.5. Let r = 0.1 - f. Suppose -5*j + 4*p + 27 = 0, -2*j - 17*p + 18 = -21*p. What is the second biggest value in r, -1\/2, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let z(f) = -13705*f**2. Determine z(m(t)).\nAnswer: -123345*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4844)\/(-10) + 6\/10. Suppose l - t = -4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 4 (b) -0.2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1284 = 2*b, 6*g = 4*g + 4. What is the least common multiple of 140 and b?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - 17*s**2 + 20*s. Let i(p) = -p**3 + 6*p**2 - 7*p. Calculate -4*g(t) - 11*i(t).\nAnswer: -t**3 + 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 9, -23, 11, -3 in decreasing order.\nAnswer: 11, 9, -3, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 81*j - 5237. Calculate l(123).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmtfaffytatfyk. What is prob of sequence fm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3691 - -3926. Calculate the remainder when s is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000081915 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Let p be n(-3). Let t(a) = -2 + p + 4*a - 11*a + 4*a. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z, 19*z - 17*z - 200381 = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 7*f**2 + 7*f - 5. Let x(q) = -q**3 + 8*q**2 + 305*q - 37. Let m be x(-14). Let t(p) = -3*p**3 + 8*p**2 + 8*p - 6. What is m*t(s) - 6*o(s)?\nAnswer: -3*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624499?\nAnswer: 1091, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -842876 or -843027?\nAnswer: -843027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 516*(-10)\/400?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/(-291) + 820\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2726? (a) -1\/7 (b) -0.03 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 4. Let s be q(-2). Let a = s - -13. Suppose a*u = u + 46. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 506159 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 + -273. Solve 0 = n + 2*q + h, -24 = 3*n - q - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + m)*(22 - 47 - 38).\nAnswer: 189*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 19*n**2 + 20*n - 19. Let h be l(-18). Find the common denominator of -56\/5 and -1 - 162\/55 - 22\/h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 - 4\/3*f**3 - 2*f + 0*f**2. Let p(s) = 2323*s + 2320*s - 4644*s. What is r(p(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 576880*u**3 + 19981*u**2 + 5*u.\nAnswer: 3461280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (-8 - -5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-21) + (-4)\/18. Let z = -225 - -222. What is the second biggest value in w, 0, 5, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -17. Suppose 0 + r = 2*p. Find the third derivative of -2*b**5 + b**2 + b**5 + 9*b - p*b wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 546185, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 710 divided by -327\nAnswer: -710\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:27 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*(24 - 984). Is 318 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 48 = 4*o, -o = 4*j - 2*o - 82. Calculate the remainder when j is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/9462000 and 27\/2500.\nAnswer: 47310000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, s: 4, a: 1, n: 1}. What is prob of picking 3 d and 1 a?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -793, -1189, -1585, -1981, -2377?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 249263900 to the nearest 100000.\nAnswer: 249300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (-2 - -5))*0. Suppose 3*u - 32 = -5*u. Sort 2, o, u.\nAnswer: o, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44211, 176245, 396115, 703821, 1099363, 1582741, 2153955?\nAnswer: 2813005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 - 94*y**4\/9 - 1334*y**3\/9 - 3298*y**2\/9 + 32368*y\/9 - 39304\/9 = 0. What is y?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - m**2 + 43*m + 44. Let t be o(-1). What is the greatest common divisor of t and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 61 = 4*g. Let d be (-4 + 7)*g\/6. Let r = d + -4. Solve r*u - 4*z = -14, 0*u = u - 3*z + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-7) - 7\/(1568\/(-1363232)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54643507*l**2 - 204571782 wrt l?\nAnswer: -109287014*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (479\/(-52690))\/(1\/(-4))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 3*u + 2. Let f(b) = -b**2 + b + 4. Let q be f(0). Let w = q + 0. Let h = -6 + w. Give t(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let d(b) = 2*b**3 - 9*b**2 - 42*b - 6. Let j(r) = d(r) - 3*s(r). Is j(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*m**2 - 36*m + 13 + 0 - 6*m**2 - 45*m to the form c*m + h + i*m**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*s**2 + 8*j**2*s - 22*j**2 + j*s + 25065*s**2 with respect to j.\nAnswer: 2*j*s**2 + 16*j*s - 44*j + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**2 - 1079896*v - 4319648 = 0.\nAnswer: -4, 269978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 82084075.\nAnswer: 3\/82084075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97a - -3a0?\nAnswer: -5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -605 - -16?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 141 = d - 472, -2*m - 1662 = -5*d. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5996)\/22485)\/(4\/(-435)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8526\/2436)\/(84\/4288)*2\/(8\/(-3))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 390\/7 or 0.013?\nAnswer: 390\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 23*n - 62. Let b be c(-19). Let h(q) = -6*q**2 - 9*q**2 - b*q**2 - 13*q**2 + 40*q**2. Let x(g) = -7*g**2 - 5. Calculate x(h(f)).\nAnswer: -28*f**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 8*y**2 - y + 3. Let l be o(-4). Let k(i) = -i**2 + 2*i. Let j be k(3). Put 0, l, j, -1 in ascending order.\nAnswer: j, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -751 - -404. Let s = -336 - m. What is the remainder when 11 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162\/(-3)*(-21)\/126 - (-5 + 2) and 248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 y, and 1 k when four letters picked without replacement from {k: 4, j: 4, y: 6}.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - n)*(7*n**2 - 13 + 13) + n**3 + n**3 - 3*n**3 + (0*n**3 + 0*n**3 + 2*n**3)*(-2 + 4 - 4).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(-2)*(-1548)\/(-903).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2990 is divided by 206?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 + 262 = -8*m. Solve -35 + m = 10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 229393*d**3\/3 + 5846666826*d**2 + 447012755025356*d\/3 - 2235502303813480\/3.\nAnswer: (d - 5)*(d + 76466)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:28 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 29, 39, 49, 59, 69?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(9)*-2*4)\/(sqrt(363)*-2) - ((0 + (sqrt(3) - sqrt(147)))**2 + (sqrt(48) + (sqrt(48) - sqrt(48)*-5))**2).\nAnswer: -2460 - 9*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1551 - 2?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-15))\/((-6)\/20). Suppose -3*t = -7*b + 4*b + 13797, l = -t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4096 in 5, 2\/9, -12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.967 + -0.033. What is the nearest to -2\/5 in -1, c, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-18) - 4)*-3 + 5 + -15.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*t - 0. Let w = 60 + -59.8. What is the closest to t in -3\/2, w, 5\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+4.1\nAnswer: 4.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*21\/378)\/(((-171)\/(-270))\/(-19))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1727 plus -6?\nAnswer: -4.8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/15)\/((-2)\/3) + (-592)\/(6 + 68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.559095 to 3 dps.\nAnswer: 1.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + 1 + sqrt(272)*6)**2 - ((-1*-1*sqrt(2057))**2 + 5).\nAnswer: 8563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 5 (c) 10.9 (d) 0.2 (e) -24 (f) 11\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by (-3)\/((-13)\/1911*7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 162 = 3*s, -12856*s + 12855*s - g + 44 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(1584) - (-1 + sqrt(1584) - sqrt(1584))*-5 - (sqrt(1584) - (1 + sqrt(1584) + -4)**2)).\nAnswer: -9523 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2688796695 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 25 = -5*d + 6*t, -3*d = 2*t - 10. Suppose 2*w = -0 + d. Let h(y) = -2 - 2*y + 3*y + 2*y**w - 3*y + y**3. Determine h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*u - 43. Solve 4*r = -u, j + 0*r + 7 = -2*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 11*s**6\/30 - s**4\/12 + 20*s + 6. Let c(k) be the first derivative of h(k). Find the third derivative of c(a) wrt a.\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86365 - 26518. What are the prime factors of o?\nAnswer: 3, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2501)\/10614 - (-1 - (-81)\/87).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 13*a**5 + a**4\/4 + 281*a**2\/2 - 1785. Find the second derivative of v(p) wrt p.\nAnswer: 780*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 4*y - y)*(13*y**3 + 287 - 287) to the form m*y + k + s*y**3 + p*y**4 + a*y**2 and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/28)\/(-45*(-8)\/(-84))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 23 = -2*a, 5*a = -4*z - 7 + 47. Suppose -4*o + 10 = -2*w - 0, -11 = 3*w - a*o. What is the remainder when 68 is divided by ((-69)\/(-18))\/(w\/(-6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 59, 5, -0.11.\nAnswer: -0.11, -0.1, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 21*g**2 + 21*g + 31. Let q be l(22). Let j = -0.19 + -0.01. What is the closest to -1 in j, 4, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 27) + 2 + 9 + -5 + -5 + -12.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19443650 divided by -14\nAnswer: -9721825\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1133.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 1 + i - 30*i**2 + 23)*(0*i - 5*i - 7*i) to the form z + b*i**3 + a*i**2 + f*i and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*z + 39, 10*y + 6*z - 24 - 54 = 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert eebae (base 15) to base 2.\nAnswer: 10111001001101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280.63 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23764 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.511114*1.8.\nAnswer: 4.5200052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14193733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 7*j**5\/40 + 5*j**3\/6 + 9*j. Let x(c) be the second derivative of y(c). Let f(a) = -a**2. Determine f(x(k)).\nAnswer: -441*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*5\/((-50)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 + 6 = -4*c, 3*z = -c - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*g*p**2*r**2 - 772*g*p**2 + g*p*r**2 - 3*g*p*r - 46*g*r**2 + 1674*g*r - 33*p**2*r**2 - 2*r wrt p.\nAnswer: -36*g*r**2 - 1544*g - 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -2*u**3\/3 - u**2\/2 + 2*u. Let b(x) = 899*x - 4494. Let r be b(5). Determine j(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48, -109, -210, -351, -532, -753, -1014?\n\"Answer: -20*l**2 - l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 6. Let t be o(-4). Let s = 23.7 + -24. Which is the third smallest value? (a) s (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205\/(-75)*3 + (3 - 56\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.395 (c) -1\/4 (d) -1\/5 (e) 77 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68815, -68733, -68651?\n\"Answer: 82*v - 68897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84433 or -81895?\nAnswer: -84433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a9051ac - 2?\nAnswer: -1a9051b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 50. Let i = -20 + 26. Calculate the remainder when d is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 3. Let t be c(6). Let y(n) = 31*n**2 - 371*n - 9. Let h be y(12). Solve 5*x + 17 = -i, -t*i - h*x + 0 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108 and 0.6988.\nAnswer: -107.3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(950)*2)\/(sqrt(4)\/(sqrt(10)\/(sqrt(5)*-3))) + -5.\nAnswer: -50*sqrt(19)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/15 - 2272*x**4\/15 - 857288*x**3\/15 - 21257504*x**2\/3 + 87102080*x\/3 - 87795200\/3 = 0. Calculate x.\nAnswer: -380, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 4*m. Let b = -9744 + 9739. Let f(o) = -4*o**2 + 5*o. What is b*l(t) - 4*f(t)?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2712*p**2*x - 4*p**2 - 3*p - 1 with respect to x.\nAnswer: 2712*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.5. Let o = l - -1. Let g = -0.03 - -2.03. Which is the third smallest value? (a) g (b) o (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -72, -155, -270?\n\"Answer: -16*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -390 + -3?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -5. Solve 0 = -3*k + 6*k - n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(103*u - 38*u + 16*u) + 4*u + 0 + 0.\nAnswer: -158*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -4.5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(4*t - 6*t + 4*t) - t - t - t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375118 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11108*v**2 - 2775*v**2 + 2*v**3 - 2783*v**2 - 2777*v**2 - 2773*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(270\/(-2360)))\/((-1)\/(-6)). What is the highest common factor of t and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 11, -87 in descending order.\nAnswer: 11, 4, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17883, -45, -4, 16 in descending order.\nAnswer: 16, -3, -4, -45, -17883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37916357, 37916343, 37916329, 37916315, 37916301?\n\"Answer: -14*n + 37916371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380.151955 - -381.75195519. Let a = 75 - 76.6. Let n = b + a. What is n rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*c = 5*c + 3667, -h - 3*c + 1841 = 0. Suppose -512 - h = -4*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12385, -95, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 take away 6589?\nAnswer: -6589.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-70))\/((-4)\/(112\/(-12)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + d - 12 = 5*d, -3*d = -4*h + 9. Let v(z) = 2*z + 16. Calculate v(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3 + 6530*j*z - 1032*z - 2 wrt j.\nAnswer: 3*j**2 + 6530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52700 bigger than 843213\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 999583.\nAnswer: -10\/999583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:10 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2313\/(-514)*2\/24\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -1\/2*z**2 + 0 - 5*z - 3\/2*z**3. Let n(d) = d**3 + 10*d**2 - 22*d + 25. Let w be n(-12). What is i(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*sqrt(405)*1.\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/11*(-20)\/150*3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -91*x**3 - 6*x**2 - 36*x - 89. Let u be o(-3). Round u to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*q = 152, 39 + 51 = 3*c + 3*q. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b)\/b)**(5\/3)\/((b**1*b)\/(b*b*b\/(b**8*b)))*((b\/(b**1\/b))\/(b*b**(-2\/7)))**(-1\/15) assuming b is positive.\nAnswer: b**(-3401\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12385, 0.05, -5905 in decreasing order.\nAnswer: 0.12385, 0.05, -5905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 29, 0.1, -1, 0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + i + 0*i = -31, 2*i - 10 = 2*p. Let d(t) = -t**2 - 6*t - 3. Let a be d(p). Let x(s) = 5*s + 3. Let k(b) = -6*b - 4. Determine a*k(z) - 4*x(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -30*b + 117. Let u be v(34). Let n = u - -908. Solve 0 = -5*o - 3*k - 19, -1 + 16 = -n*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.3 + -24.4. Which is the nearest to -0.1? (a) -1 (b) 10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 137*p + 1769 = -129*p - 3599 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2\/21 - (-10 - (-893728)\/(-336)) - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 435*v**2 + 372*v**2 - 590*v**2 + 7*v + 2*v**4 in the form n*v**3 + y*v**2 + p*v**4 + w + m*v and give y.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 703 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -1.9. Let u = 172.95 + -173. Which is the nearest to u? (a) -5 (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 - d**3 - 2*d**2 - d + 713. Calculate n(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/872?\nAnswer: 5\/872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*l - 2*l**2 - 100*l - 6*l**3 + 185*l + (-3 + 2 + 2)*(4*l**3 - l**3 - 5*l**3) as s*l + c + q*l**3 + t*l**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Suppose 4*a + 9 = -3*r + 80, a - 9 = r. Let p be a\/3 - (-6)\/(-9). Calculate v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 - 6. Let h be b(3). Let t = -64 - h. Let d(s) = -2*s**2 - 5*s - 7. Let j(y) = y**2 + 3*y + 4. Give t*j(n) + 3*d(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 399990511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 7. Suppose -2*s = -19 - 1. Let z be k(s). What is the units digit of 10\/2*(z - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13700138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -903\nAnswer: 16\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:21 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 10. Calculate h(-13).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - m)*(-25 - 27 + 18 - 19).\nAnswer: 53*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 2*x)*(-5*x**3 + 19*x**2 - 19*x**2).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (-2 - (-1 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -102*k**2. Let b(w) be the third derivative of 0*w + 0*w**4 + 6 + 1\/60*w**5 + 0*w**3 - 6*w**2. Determine p(b(u)).\nAnswer: -102*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10262*l**3 - 143*l + 1 + 127*l - 3*l**2 - 2*l**2 + 2 - 4. Let g be 0*2\/(-4) + -7. Let c be m(g). Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1300.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/21 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -22.08. Let r = c + -0.08. Let v = -3 + 0. What is the closest to 1 in -0.2, r, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165388998 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37078 + -0.18.\nAnswer: -37078.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/9 + 22775*w + 204974\/9 = 0.\nAnswer: -204974, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -70. Let f(w) = -w + 6. What is f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 3*c - 6. Suppose 4*k = -0*k - 20. What is the units digit of m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 21 (b) 61.4 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 87 + 31 = 0. Let d = g - -31. Calculate the common denominator of 63\/10 and (4 - 0) + -1 - d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-30)\/105) - (0 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.1 (c) 64267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g - 2. Let m be i(2). Let w be 2\/(-6) - m\/(-12). What is the nearest to 2 in 0.5, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 - (1 + -2). Let q(c) = c**3 - 4*c**2 + 3*c + 3. Let k be q(3). Suppose -g = k*f - 51. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6961\/2 or -3481?\nAnswer: -3481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380178 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64545.4 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.8746 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/144*24\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 762728 and 3216?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, z: 5, n: 4, l: 1, i: 2}. Give prob of sequence uk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 836.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538776219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806156832 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*y - 108 + 5*y + 37*y + 41*y.\nAnswer: -4*y - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/y)**0\/((y*y**(1\/2)\/y)\/y)**(-3\/7)*(y*y*y\/(y**(-1\/4)*y)*y*y\/y**(2\/3))\/((y\/((y**(3\/2)*y)\/y))\/((y*y*y**(-1))\/y)) assuming y is positive.\nAnswer: y**(325\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h - 5*h + 4*h)*(-2*h - 3*h + 3*h) + h**2 - h**2 + h**2 - 6*h**2 + h**2 + 2*h**2)*(-1 + 2 + 2)*(-12*h + 105*h**2 + 12*h).\nAnswer: -1260*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150*p**2 + 521*p**2 + 589*p**2.\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102202220000002 (base 3) in base 15?\nAnswer: 838dde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**3 + d**3)*(-3*d - d - 14*d)*(-3 + 6 - 4)*(8 + 2 + 10).\nAnswer: 360*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0137664 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/34 - (-164)\/(-41)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (436\/(-1199))\/(-2*4\/176)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5503164 (base 10) in base 7?\nAnswer: -64530132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 448 = 535. Solve 88 = r*y - 7*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u. Suppose -m + 10 = -u*m. Let q = 0.123003 - 0.223003. Which is the second smallest value? (a) 0.4 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1384*i**2 + 463829*i + 2353870.\nAnswer: (i - 802)*(i - 587)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 95975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 479.036 (c) 0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 2112 = 28*p. Find the second derivative of 95*b + p*b**2 - 132*b**2 + 41*b**3 wrt b.\nAnswer: 246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 s when three letters picked without replacement from {s: 1, e: 2, p: 1, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**(-1\/18)\/((x\/x**17)\/(x\/(x\/(x\/((x*x*x**1)\/x))))) assuming x is positive.\nAnswer: x**(275\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (33480\/140616)\/((25\/18)\/5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -33\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**5 + 2535*a**4 + 6305*a**3 - 611135*a**2 - 3724200*a + 4326500 = 0.\nAnswer: -10, 1, 17, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-2)*24\/60. Suppose -w*i + 0*o - 2 = 2*o, 0 = -5*i - 2*o - 2. List the prime factors of -3 - (i - -365)\/(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17259, -30201, -43145, -56091, -69039?\nAnswer: -81989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467060192 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 1. Let d(p) = -4*p - 1. Let y = -5 + 10. Let t(g) = y*s(g) - 6*d(g). Suppose u + 3*j - 90 = -95, 4*j = 2*u - 10. Give t(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*m - 3. Solve 2*u = -i + 6*i + 12, -5*u = 2*i - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21686, 21824, 21962, 22100, 22238?\n\"Answer: 138*q + 21548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let y(p) = -4*p - 13. Suppose u + 3 = -3. Let j(f) = 2*f + 6. Let k(r) = u*y(r) - 13*j(r). Calculate o(k(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-7) + -9*(-40)\/252. Let u be 4*n - (-17 + 14). Suppose r - 1 = -2, 4*t + 1 = -5*r. Calculate the greatest common factor of t and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913868?\nAnswer: 2, 17, 73, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(136)*-1)\/sqrt(4))\/((-2*sqrt(24))\/sqrt(12)))**2.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 14856?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1403, 5576, 12531, 22268?\n\"Answer: 1391*b**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98215 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234*29499.\nAnswer: -6902766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -52.9. Let i = 859.9 - 860. What is the closest to n in 0.1, 3, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.036 (b) -0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 27*g**2 + g - 1. Let a(l) = -64*l - 188. Calculate the least common multiple of d(1) and a(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 74. What is y(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let o(r) = 10*r. Let g(j) = -7*i(j) - 2*o(j). Let z(u) be the second derivative of u**4\/6 + 286*u. Determine z(g(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 355 = 13835*b - 13856*b, 0 = -2*b - 5*a - 44 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:23 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78894 and 138795?\nAnswer: 7494930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 14) in base 6?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 42. What is the third derivative of -5*x**2 + 8*x**5 - o*x**5 - 33*x**2 - 11*x**6 + 16*x**6 wrt x?\nAnswer: 600*x**3 - 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1122 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1747 = 682. Let x = -83 - s. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.16 - 1.16. What is the biggest value in -1, m, -8\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:31 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 24677*c + 123356. Determine y(5).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 597 - 568. What is the remainder when 94 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000101001 (base 2) to base 7.\nAnswer: 124202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5347374 hours?\nAnswer: 1925054640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305 divided by 1.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48997111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -12*z + 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d - 59 + 23. Let w(f) = f**3 + 4*f**2 - 7*f - 5. Determine w(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16021 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 67*d**5\/3 + 743*d**4\/3 - 18158*d**3\/3 + 20092*d**2 - 17448*d - 1728 = 0. Calculate d.\nAnswer: -24, -6\/67, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 35315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 3*r**2 + r + 2. Let s be b(-2). Suppose 2*w - s = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 2147712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 2. Let b be (-39)\/15 + (-15)\/(-25). Let j be h(b). Suppose 2*i + 2*i**3 + 0*i**3 + i - 5*i**j + 9 - i**3 = 0. Calculate i.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upcp when four letters picked without replacement from {s: 2, p: 3, u: 1, c: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 3*w + 1. Let h be a(1). Let c(j) = j - 1. Suppose 2*t - 4*t + 10 = 0. Let b be c(t). Put -9, h, b in ascending order.\nAnswer: -9, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889253511.\nAnswer: 3, 296417837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36\/7 in 0.11, -2, -1, -0.8?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - o. Let w(m) = 7*m**3 - 6*m**2 - 6*m. Calculate -w(k) + 6*x(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 147555*39\nAnswer: 5754645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3516*t**3 + 28136*t**2 + 42256*t + 96 = 0. What is t?\nAnswer: -6, -2, -2\/879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -293631 + -0.92\nAnswer: -293631.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 2 s when four letters picked without replacement from {n: 3, t: 4, s: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 23*y**2 - 47 - 42 - 40.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1066202445 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4021, 8043, 12065, 16087, 20109, 24131?\n\"Answer: 4022*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58942 is divided by 4533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -137, -310, -541, -824, -1153, -1522, -1925?\n\"Answer: r**3 - 38*r**2 - 2*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 362)*25\/(-75). Suppose -1 + 49 = -3*x - 4*j, -46 = 2*x - 2*j. Let u be (x\/(-30))\/(2\/33). Calculate the greatest common divisor of u and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/1*-1. Suppose j = -k - 3*a, -k = 2*k + 4*a - 5. Solve -1 - k = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 80 = 0. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjrjrjjj. What is prob of sequence jrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/23)\/i*i)*i)**(24\/7)\/(i**24*i\/((i\/((i**(2\/33)\/i)\/i))\/i)))**(8\/3) assuming i is positive.\nAnswer: i**(-701384\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26202\/(-152845)*(-35)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21268091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -11.3 (c) -4 (d) 3546006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:09 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529209?\nAnswer: 3, 127, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 22*f - 47. What is the smallest common multiple of 1498 and o(-13)?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((8 - 8) + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157892831.\nAnswer: 3, 17, 29, 163, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k*k\/(k**3\/k))\/(k*k**(-3\/8)*k**(4\/5)))**(2\/79) assuming k is positive.\nAnswer: k**(63\/1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011110011010110110010 - -1?\nAnswer: -11101011110011010110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 35 = -3*l. Let b(a) = -a**3 - 13*a**2 + a + 15. Let y be b(l). Suppose 18 = 3*j - 3*d, -14 = -j - y*j + d. Sort -5, j, 0 in ascending order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 11*h**2 - 8*h + 9. Calculate u(-5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/6 + 2 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let r(g) = 2*g**3 + 2*g**2 - 4*g + 2. Let u(y) = -1041526 + 3*y**3 - y + y**2 + 1041527 - 4*y**3. Calculate v*r(w) - 2*u(w).\nAnswer: 4*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, -5, 16431, 4 in ascending order.\nAnswer: -446, -5, 4, 16431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 81*s - 865. Let y be g(9). Calculate the greatest common factor of y and 16562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.12, -3, -15, 0.1, -186?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/30*((-486)\/(-144) - (-6)\/(-16)). Let q(y) be the second derivative of l*y + 0 + 14*y**2 + 17\/3*y**3. What is the derivative of q(h) wrt h?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/(0 + 5) - (-3)\/(-9)*-6. What is the nearest to -0.01 in 0.02, -1\/20, i?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 1 = -7. Let w be (-6)\/(-4)*(-16)\/(-6). Let u = w - x. Let t(f) = f**2 - 4*f - 7. Give t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1805 - 1797. Put -16, 3, a in descending order.\nAnswer: a, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*v**5 - 834513*h*v**4 - 1592*h - 11*v + 20 wrt v?\nAnswer: -60*h*v**3 - 10014156*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n, -2*n + 7*n - 23419 = -4*m. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57203\/1*(100 + -65). Let i = 1012105 - f. Round i to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 440 - 450 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + 10. Let o = z + -2.2. What is the nearest to 0.04 in -2\/9, o, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(12 - 217 + 3)*(4*x + 11*x + x)*(-1 + x**3 + 0*x**3 + x**3).\nAnswer: 12928*x**4 - 6464*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 59 = 139 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let u(w) be the third derivative of -7*w**4\/24 - 2*w**3\/3 + 2*w**2. Let f(s) = -6*k(s) + u(s). Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, 1 c, and 1 n when four letters picked without replacement from tanckpt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*d + 313 = -3*d, 2*d - 4 = 0. Suppose q = -2*o - 1. Let h = o - -48. Solve 3*s = -0*i - 3*i + 12, 0 = 5*s - 4*i + h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13659, -27310, -40961, -54612, -68263?\nAnswer: -81914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73 + 3.83. Is h not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173010?\nAnswer: 2, 5, 7, 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000230349529 rounded to seven decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2\/11, -176?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000086289578 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*i + 37420 + 45475, -3*a - 5*i = -49705. What are the prime factors of a?\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-20))**(5\/14)*(k**(-5\/11))**(9\/8) assuming k is positive.\nAnswer: k**(615\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*p**2 - 1199*p**2 + 408*p**2 + 399*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + y - 2, 0 = -4*y - 2 - 2. Let a be (-885)\/(-45) + c\/(-3). Suppose -6*v + a = -v. Solve -u = -6*o + v*o + 7, -3*u = -5*o + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26513, 106044, 238593, 424154, 662721?\n\"Answer: -z**3 + 26515*z**2 - 7*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1555841 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83613 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -6092, -13737, -24440, -38201?\nAnswer: -55020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -150\/7 - 2\/7*s**2 + 152\/7*s = 0.\nAnswer: 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.68 + 15.68. What is the fourth smallest value in 58, -0.1, j, -2\/9?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 31*n**3 + 30*n**2 + 23*n**3 + 54*n**2 - 93*n**2 to o*n + c*n**3 + j*n**2 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = m + 4, m = 364*s - 360*s - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000123301163 to seven dps.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000173647 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 1020.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94711 = 169*g - 79190. Is g a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n**2 - 11*n**2 + 19*n**2 + (-1886 - 125*n + 1886)*(-4*n + 5*n - 2*n) as r + b*n + g*n**2 and give g.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2 + 5\/2). Let q be (4 - 3)*-2 - -2. Suppose -2*n + 3 = 3*f, -n + 4 = -q*n + 4*f. Sort 1, o, n in increasing order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*j + 11, -5*j + 4 = -2*y - 25. What is the tens digit of y\/(-4)*(5 + 900 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 0.074525.\nAnswer: 6.074525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k - 12. Let r be z(3). What is the greatest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*c**3*i*j - 2*c**3*i + 3260*c**3*j - 2*c**3 - 14*c**2*i - 492*c**2*j + 2*c*i*j + 1231*i wrt c.\nAnswer: 582*i*j - 12*i + 19560*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Is ((-18)\/v - -1)*-118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 2147\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 46. Let p(f) = -8*f + 324. Give 20*i(n) + 3*p(n).\nAnswer: -4*n + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257\/3 + 1801\/21. Let u = -19.2 - -22. Let v = -5.8 + u. What is the nearest to 2\/3 in s, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8236 is divided by 8002?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haahaa. Give prob of sequence hha.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2701795 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2783 - -2771. Let u = -81 - -40. Let p = h - u. 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 prob of picking 1 a, 1 j, and 2 v when four letters picked without replacement from {a: 1, j: 2, v: 2, d: 2, h: 1, p: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 307351871 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 586597, 586567, 586519, 586453, 586369, 586267?\n\"Answer: -9*b**2 - 3*b + 586609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 190 = -6*l, 4*l - 144 = -5*x + 21. Solve 0 = -3*j + 4*a - l, -a = -3*j - 2*a - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30299.1559 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 1406, 2118, 2830, 3542?\nAnswer: 4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7823 is divided by 125.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/10 + 14*p**4\/3 - 47*p**3 + 198*p**2 - 5*p - 16. Factor c(b).\nAnswer: -2*(b - 22)*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11718 and 1890?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q - 14. Calculate the remainder when 33 is divided by b(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-9)*g**(2\/13)*(g*g**(1\/3))**(-3\/4) assuming g is positive.\nAnswer: g**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 8. Suppose 2*b = 3*u - 0*u - 10, 15 = -3*b - u. What is the remainder when 25 is divided by -1 + (1 + h)*b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -598\/7 + 85. Which is the closest to -1? (a) 1\/3 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -9 - (-4 - -6))*(-10)\/20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 6. Let o = 8 - m. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7.7. Let d = -1 + 5. Suppose 0 = h - d*h - 15. Sort h, u, -3 in increasing order.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 10. Let f(g) = 18*g - 37. Let b(k) = -f(k) - 4*t(k). Let v(x) = -21*x - 7. Give -5*b(o) + 2*v(o).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 243118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -825485 by 165097.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 - 2*o + 10. Let u be s(0). Let j be ((-2)\/5)\/(u\/(-75)). Let a be (-4)\/14 + 88\/14. Solve -j*f = -6*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2709 - -1685. Let z = m - -1024.2842. Round z to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -606c + 5?\nAnswer: -6067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281690 and 25840?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.287 times 2000.9?\nAnswer: -574.2583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -1*sqrt(420)\/sqrt(7))\/(sqrt(48)*-2 + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2031683*f*y - 619911*f wrt y?\nAnswer: -2031683*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18 and -29\/179100.\nAnswer: 179100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1159488 or 1159482?\nAnswer: 1159488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14570.84 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/60 - (-4)\/(-8). Sort 2, i, -0.3.\nAnswer: -0.3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -62.3?\nAnswer: -249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4, 0 = 2*o + 83*g - 81*g - 14. Let j = 57.94 + -58. Which is the nearest to j? (a) -2\/5 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-3320)\/(-3)*30. Let h be d\/6*(-1500)\/(-1). What is h rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8\/111, 8.52?\nAnswer: -8\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181153*k + 181196*k - 3397 = 0 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/((h**0*h)\/h)*h*h)*h*h**(-2\/5))\/(h**1)**36)\/((((h\/(((h*h**4*h)\/h*h)\/h))\/h)\/(h**(-3)*h))\/(h**(-1)*h*h*h)**(1\/5)) assuming h is positive.\nAnswer: h**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.671 and 0.3.\nAnswer: 0.2013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p - p - 3*p. Let h(j) = -92 + 92 - 16*j**2. What is g(h(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -7*q - 5*x, 0 = -3*x. Let t(c) = 4*c**3 - c + 1. Let m be t(q). Suppose 0 = 5*b - 3*b - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*a + 7 + 230 - 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 59943*p - 4615603. Give t(77).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -22*n. Is j(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09549 and -17.43.\nAnswer: 1.6643907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83244*r = -83220*r - 216 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6)*84\/18. Let r be (33\/21 - 2)*c. Solve 5 = -r*z - v, -v + 0*v - 5 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6037 = -3*j - 4*t, -2*j + 4401 - 358 = -t. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 52. Let i be v(25). Suppose -4*d = p + 9, -4*d = -p - 0*d + 15. Solve 4*n + 7 = -p*a - 7, -5*n = -a + i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 1?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 22. Solve -c - 29 = -k + h*k, -5*c - 5 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v**(2\/23)\/v*v*v)\/((v\/v**21)\/v*v\/(v**(3\/2)*v)) assuming v is positive.\nAnswer: v**(1407\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -782018 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:07 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71198 is divided by 369?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 4238*n - 2982177 = 0. Calculate n.\nAnswer: -3347, -891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-119)\/(-2))\/(24 - (-208292)\/(-8680))?\nAnswer: 5, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -705528.\nAnswer: -35\/352764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300154*w**5 - 8*w**2 - 5950*w - 1 wrt w?\nAnswer: 18009240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**5 + 1955*c**4 + 5895*c**3 + 5905*c**2 + 1970*c = 0.\nAnswer: -1, 0, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (155\/(-4))\/((-3)\/(-12)). What is the tens digit of v\/(-4) - (-42)\/(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.0469?\nAnswer: 4.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jduu when four letters picked without replacement from {d: 4, j: 1, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111 times 29\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4038, -142.\nAnswer: -4038, -142, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42001909.\nAnswer: 1031, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -75, -68, -61, -54?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 2*o**2 + 17*o. Let i be l(5). Suppose -3*q + 47 = 5*x, i*q - 6*q - 36 = -4*x. Solve 3*k - 5*c - x = -42, 5*c - 12 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -17 - (-55 - (47 - 127))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 4*x**2 + 4. Let s = -1 + 1. Let z be s + 1 + 10\/(-5). Let b(l) = l**3 + l**2 + 1. Suppose 10*m = 15*m - 25. Determine m*b(p) + z*k(p).\nAnswer: 2*p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3696 and 169380288.\nAnswer: 169380288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3. Let z be c(-2). Let d be 4 + z + (-4320)\/(-3). Suppose d + 170 = 5*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*(3 + 18). Suppose c = -2*k + 12, -3*c - 4*k = -k - 24. Let j(z) = -5*z**3 + z. Let a(t) = 9*t**3 - t. What is c*a(n) + y*j(n)?\nAnswer: n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -611557*o + o**2 + 611557*o. Let m(r) = -26*r**2 + r - 10. What is m(y(x))?\nAnswer: -26*x**4 + x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -0.3, 0.1, 9.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 13*b**2 - 2*b + 11. Let a(y) = y**3 + 6*y**2 - y + 5. Suppose f = -2 + 8. Suppose 0 = -164*c - 659 - 1473. Calculate c*a(s) + f*l(s).\nAnswer: -s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 1 + 5 - 6 + 147*t.\nAnswer: 147*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 485316179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(2) + 3 + -1*sqrt(2)*5.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(228)*-3)\/(sqrt(1728)*1 + sqrt(12) + sqrt(60)\/(1*sqrt(5))).\nAnswer: -9*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1262, -46.\nAnswer: -46, -2, 0, 1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 75248018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrp when three letters picked without replacement from {r: 8, p: 5, v: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from jggppggpgjjpjj?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r**2. Let q(a) = -4*a**3 - 26*a**2. Give q(m) + 2*v(m).\nAnswer: -2*m**3 - 28*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 8. Let c be v(-6). Let w(u) = -u + 1. Let r be w(3). Suppose 4*k = 3*s - 8*s - 36, -k - 12 = 2*s. Sort c, s, r in decreasing order.\nAnswer: c, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41481*-0.04\nAnswer: -1659.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 203*k**2 + 3987*k + 826. Calculate b(27).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**2 + 2*d**3 + 208*d**2 - 89*d + 3 + 96*d**2 + 25*d**2 wrt d?\nAnswer: 12*d + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -752.\nAnswer: -1\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005120637 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67734450 (base 8) to base 14.\nAnswer: -1d393a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3. Let z(r) = 7*r**3 + 22*r + 2. Let g be 7\/(63\/54) + (-23 - -18). Give g*z(v) - 6*d(v).\nAnswer: v**3 + 22*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 8*u**2 + 9*u - 10. Let y be h(7). Suppose -3*n = s - y, -3*n + n = -2. Let l(r) = 41*r**2 - 2*r + 3. Is l(s) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - -7) + (-27 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 2*c - 2. Let n(z) = -4*z**2 - 3*z + 3. Let m(t) = -t**2 - t + 1. Let q(a) = 6*m(a) - n(a). Give -3*k(d) - 2*q(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + h + 3*h + (0 - 4 + 5)*(-3 + 3 - 2*h) - 2*h - h + h - 4*h + 13*h + 6*h as p*h + q and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.57 plus 10020.614?\nAnswer: 9990.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133422, 133421, 133420, 133419, 133418?\n\"Answer: -k + 133423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-64)*84*(-4)\/(-140)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13972 + 15638. Calculate the highest common divisor of h and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7349*m*p + 24*m + 1370*p + 304 wrt m?\nAnswer: -7349*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321.627 days in hours?\nAnswer: 199719.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 92, 121, 168, 239, 340, 477, 656?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*x - 9 = 2*i, 7*i + 2*x + 40 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5466\/455 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10799 + -10803. Let n(g) = 119*g + 477. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -8\/15*o**5 + 0*o + 1\/9*o**6 - 4\/3*o**2 + 43 + 8\/9*o**3 + 1\/2*o**4. What is d in p(d) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and ((-4)\/(-18))\/((-222)\/(-2257))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2117649925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1425, 1433, 1447, 1467, 1493?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4591773.1 rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 298950?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-132)\/33)\/((-2)\/(1 + -2)). Let z(k) = -5*k - 4. Give z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12*n**3 + 7*n - 5. Is 15 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/r**(2\/11)*r\/(r*r**7)*r\/(r**9\/r)*((r\/((r*r**(-2)\/r)\/r*r*r)*r*r)\/r**(-10))**(-14\/9) assuming r is positive.\nAnswer: r**(-2669\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, z: 3}. Give prob of picking 2 o and 2 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5608\/1491 - -862\/213. Factor 0 + 78\/7*w**2 - d*w**4 + 40\/7*w + 36\/7*w**3.\nAnswer: -2*w*(w - 20)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 + 71*g**4\/3 - 29*g**3 - 746*g**2\/3 + 456*g = 0.\nAnswer: -19\/6, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 749, 220, -280, -2 in descending order.\nAnswer: 749, 220, -2, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -5)*4\/10. Suppose -4*c + 847 = y, -n*c = -3*y - 463 + 22. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5148 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 8. Let h(s) = 16*s + 41. Let l(n) = 2*h(n) + 11*k(n). Let t be l(-9). Solve -f + r = 2 + t, 5*r = 2*f + 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 20. Let d = f - 2. Suppose -d*x = -111 - 67. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**4 + 59\/3*m**3 + 210 + 439*m + 745\/3*m**2.\nAnswer: (m + 1)**2*(m + 15)*(m + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 7*i**2 + 8*i - 10. What are the prime factors of u(7)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.49191 - 1.49. What is y rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102\/18 + -1)*(-15)\/2. What is the fourth biggest value in 0.5, 2\/3, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/484 and 28\/341?\nAnswer: 15004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15559 - 15534. Let b be (2\/4)\/(2\/260). Does 19 divide -1 + 6 + b + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -443 + -2?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((2 - 8) + -3). Let a(z) be the second derivative of -w*z + 0*z**2 + 0 - 5\/6*z**3 + 5\/12*z**4. What is the second derivative of a(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 41*w**2 - 35*w + 380. Is p(-37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117*g**3*o + 130*g**3 - 2*g**2*o wrt o.\nAnswer: 117*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 3\/2*p**2 + 3*p + 0 - 1\/3*p**3. Let o(b) = b - 2. What is -5*o(r) - 3*x(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8270935?\nAnswer: 5, 571, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -24*c**3 - 55*c**2 - 9*c - 33. What is the remainder when s(-6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = 4*r + 28, 4 = 2*r. Factor q*x + 6*x + 3*x**2 - 23*x + 2*x - 9.\nAnswer: 3*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24418 and 148.\nAnswer: 1806932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -44. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 122, -1\/7, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8042 + a**2 + 9639 - 1109 + 1488 to the form d*a + b + r*a**2 and give b.\nAnswer: 18060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 42302?\nAnswer: -42301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/6*(-4)\/(-5). Let d be r\/(-4)*-2 + 7. Let q be ((-32)\/6)\/(d\/(-15)). Solve -5*b - 5*s - 5 = 0, 3*s + 3 = b - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (293 - 340) - (-2 + -1 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 3*p)*(0*p + 0*p - p) + p**2 + 2 - 2 + (-33*p**2 - 9*p**2 + 15*p**2)*(1 - 1 + 2).\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -g. Let w be g\/(-27)*(-4)\/8. Which is the third smallest value? (a) -4 (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 - 10*n + 4\/3*n**3 - 2*n**2 - 1\/3*n**4. Solve p(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9661089 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 take away -8.5?\nAnswer: 99.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/120 + s**4\/24 - s**3\/6 - 2*s**2. Let g be o(1). Let f = 4 - g. Solve -f*t + 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77652 = -3*n + 3*r, -r = -3*r - 6. Let f = 16062 + n. Suppose 0 = 3*v + f + 291057. Round v to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -801, -1200?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19006 by -19006.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394\/3*n - 796\/3 + 2\/3*n**2 = 0. Calculate n.\nAnswer: -199, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7957912889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111100001 (base 2) in base 7?\nAnswer: -14565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-4)\/(-66)). Let w(k) = -k**2 - 9*k + 19. Let d be w(s). Is -4 + (959 + -3 - d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-42)\/(-56)*(5 + -1). Solve 0 = -f*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + 5 + -14 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + 10\/14. Let u be -1*0\/(-3 + g). Let x be 3 - ((0 - -1) + u). Solve -3*k - 13 - 2 = -x*i, 15 = -3*k - i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) - (-2)\/(-10). Let w(z) = -5*z + 78. Let s be w(15). Put u, 2\/7, 0.1, s in decreasing order.\nAnswer: s, u, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.8 times -8?\nAnswer: -686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*c + 25 - 59 + 34 to j*c + q and give j.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -5, -222?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260549 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:38 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 3)*(-1)\/2. Let v = 14 - 12. Find a such that -8*a + 0 - 3 + h - 3 - 4*a**v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71646965011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 13*m**2 + 18*m - 20. Suppose 2*k - 4 = -3*d + 33, 0 = -k - 2*d + 20. Let b be c(k). Differentiate 6*h + b + 33 - 66 with respect to h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203578*u**5 + 136*u**3 + 257057*u + 139.\nAnswer: -4071560*u**3 + 816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 723453817 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97\/(-388))\/(6\/24*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 + 15*u**2. Let j(d) = -4*d**2 - 3*d + 1. What is -2*j(o) - 6*m(o)?\nAnswer: 8*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001095 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103447 (base 8) to base 4.\nAnswer: 20130213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43113, -43115, -43117, -43119, -43121?\n\"Answer: -2*f - 43111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 1.44. Let f = 2.76 + v. Let j = -0.08 + 0.38. Which is the smallest value? (a) j (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1162 = 1126. Let q(l) = l**3 + 8*l**2 - 7*l + 4. Calculate q(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30625, -30624, -30623, -30622, -30621?\nAnswer: -30620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**4 - 2214*f**2 + 111*f + 3687886.\nAnswer: -32*f**3 - 4428*f + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4\/5, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 21*a + 16380. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 8*n + 10. Let i(z) = -5*z + 37. Let c be i(21). Let j = c - -75. What is the remainder when 10 is divided by f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5) - (-23 - -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18.12229 microseconds?\nAnswer: 18122.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.56 + 0.76. Let d(z) = 38*z + 231. Let t be d(-6). Put t, c, 1, 5 in decreasing order.\nAnswer: 5, t, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + x - 15, -2*n - 2*x + 19 = x. Suppose -s + 1 = -5*r, -6*s + n*s = -r - 4. Let y = s - -9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3 + (0 + 1 + 0)*(1 + 0 + 0) + 2 - 3 + 6 + (-2 + 0 - 4)*(2 - 5 + 4))*(-5*b + b - b) to the form x + z*b and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -469, 1, 3\/4, 2\/11 in increasing order.\nAnswer: -469, 0, 2\/11, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - 15 - 1*-206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, f: 1, y: 1, q: 1, s: 4}. Give prob of sequence fc.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1323*i**2 - 2598*i - 96 = 0.\nAnswer: -16\/441, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 104?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = d. Let m be 1\/3 + (-8)\/(-3). Let f(r) = -2*r + 0*r + m*r. Calculate f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -116*o**3 + o**2 + o. Is 10 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23111732 and 63557263.\nAnswer: 254229052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0 + 0 + f) + (-2 - 2 + 5)*(-5*f + 0*f + f) + (-4 - 2 + 0)*(5*f - f - 2*f).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0 + 0*c**4 + 0*c + 2*c**3 - 5\/12*c**5 - 26*c**2. What is the derivative of b(i) wrt i?\nAnswer: -50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 19308049*w**2\/4 + 38616086*w + 77232164.\nAnswer: (w + 4)**2*(w + 19308041)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n = -45*n - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:07 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r**2 - 14*r + 340. What is the hundreds digit of v(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Which is the third smallest value? (a) 2\/7 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 43*p - 1545 = 0. Let i = -306 - p. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.61 times -0.5\nAnswer: 21.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.1413 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4495\/1384 - -3\/1384. Which is the third biggest value? (a) 5 (b) j (c) 1 (d) -0.5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 638*i + 31. Let j be n(3). Let f = 3446 - j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let z(d) = 3*d**2 + 117*d - 115. Let c be z(-40). Let k be 1*5 + (3 - 6). Sort b, -4, k, c.\nAnswer: -4, b, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 5, q: 2}. Give prob of picking 4 n.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/2, 1, -4, -0.1, -2, -1802, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39888732 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.676 litres to millilitres.\nAnswer: 22676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7689907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7741 to 2 decimal places.\nAnswer: 7.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6233757 by 3.\nAnswer: -2077919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d3c (base 16) in base 13?\nAnswer: 8ccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(363) + 4 - -5*-2*sqrt(363)) + -2)**2.\nAnswer: -792*sqrt(3) + 29419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 5\/(15\/(-54))*(-8)\/(-24). Is -95\/37 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 204524.\nAnswer: 409048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-27))\/(4532\/(-618))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45\/(-20))\/((-54)\/(-36)))\/((-11)\/(-638)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-182))\/((-25)\/(4000\/55)).\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3584, 12135, 26464, 46571, 72456, 104119, 141560?\nAnswer: 184779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-3) + (-138)\/36. Put 1, a, -1 in increasing order.\nAnswer: -1, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200567477?\nAnswer: 3, 3697, 108247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 64. Let n = 0 + 1. Let d be -3 + (4 + -1)\/n. Solve d*i + 5*i + k = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/((-18)\/(-180)). Let a(r) = 96*r - 1. Is a(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3154 is divided by 1191?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 68.1. Let j = -2 + 1. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/((-13056)\/(-216))*-17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -0.64783867.\nAnswer: -14.64783867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2798 + 700 + 16*d**2 + 704 + 694 + 699.\nAnswer: 16*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*o + 38*o + 10*o + 40*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8630*i - 4403 + 2213 + 2190.\nAnswer: -8630*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33404 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/6528 and 149\/4284.\nAnswer: 137088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*x**3 + 11*x**2 - 11*x**2 - 4*x**3 + 66*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6)\/(-3*6\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s + 54. What is the remainder when l(0) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 + 4*u**2 - u + 5 - u. Calculate s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -35 + 69 - 35 + 7*a - 8*a. Give w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1632 and 2208.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 11, -636 in descending order.\nAnswer: 11, -119, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000001100010 - 0?\nAnswer: -111111000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j - 40 = 5*k + 57*j, 5*k - 40 = -5*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 18479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 4*h**2 + 0*h**2)*(-73 + 73 - 25*h**2) + h**4 - 4*h**4 + 4*h**4.\nAnswer: 26*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24470*c*d**3 - 241*c*d**2 - 101*c + 2664*d**3 + 86*d**2 wrt d?\nAnswer: 146820*c + 15984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((261\/(600300\/(-368)))\/(152\/(-6)))\/(6\/20)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*o = -20, 5*t + 3*o + 7 - 29 = 0. Let y = -1.79 - 82.21. Let p = y - -85. Which is the second smallest value? (a) t (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 10)\/(2\/(-2)). Let m = 2 + t. What is the units digit of m\/(-2)*(-3 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -2*j**7\/105 + 2*j**5\/15 - 2*j**3\/3 + 5*j**2\/2 + 4. Let t(u) be the second derivative of z(u). Determine y so that t(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 d when three letters picked without replacement from ddrrarrdddrdaddadda.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 159 + 3 - 29*c**3.\nAnswer: -26*c**3 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*q + 515*q = 269*q + 242 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsysyq. What is prob of picking 2 s and 1 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -30, -64, -110, -168, -238, -320?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*1 - sqrt(250))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.78962 - -16.049. Let x = r - 0.26. What is x rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2849335 is divided by 135?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 2. Let p be y(-2). Let n(q) = q**3 + 5*q**2 - 7*q - 1. Determine n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115\/11 in 1\/6, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**2 - 5. Let t(u) = 10*u**2 - 4. Let g(h) = -6*t(h) + 5*x(h). Let c be g(-1). What is the units digit of (1 - -62)*c\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let r(n) = 18*n**2 - 10*n. What is r(f(y))?\nAnswer: 72*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 b when four letters picked without replacement from ggggggggggggggbggg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*8\/(-12)*(177 - 186)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 40 = -5*j. What is the greatest common factor of 25 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.4 + -21.628. Round w to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 6*m**2)*(-1 + m**2 - 4*m**2 - 3*m + 4*m**2) as o + w*m + r*m**3 + z*m**4 + i*m**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 225400131 (base 6) to base 16\nAnswer: 3fd5f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4031, -8066, -12101?\n\"Answer: -4035*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 1134416*x\/5 - 160862457632\/5.\nAnswer: -2*(x - 283604)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/120*-3)\/(256\/(-8320)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/((-3 + 5)*(-62)\/31).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 15\/2*z**2 - 27 - z**3 + 0*z. Factor u(l).\nAnswer: -3*l*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 d when three letters picked without replacement from {b: 2, h: 1, k: 2, d: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*50\/(-4) + 3. Let u = v - -1727. Round u to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u - w, 1 = w - 2. Suppose -u*t + 548 = 188. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-15))\/(-6) - 22\/55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*c + 27 + 129 = 0, -99*t + 5*c - 56 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -248403, -248404, -248405, -248406?\n\"Answer: -c - 248402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 2. Give j(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100.39 - 101. Let w = 0.09 - b. Let y = 64 + -66. What is the second smallest value in y, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*h**5 - 209*d*h**3 + 110*d - 83*h**4 + 2*h**2 wrt h.\nAnswer: -60*d*h**2 - 1254*d - 1992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 29965834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(11\/66*12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -26*j**2 + 5*j - 15. Let x(m) = -5*m**2 + m - 3. Let g(w) = -11*x(w) + 2*z(w). List the prime factors of g(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.781156 to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 318\/(-14) - (-14)\/(-49). Let t = 18 + d. Let l be (-34)\/(-5) - 1\/t. Sort l, -3, -5 in increasing order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - sqrt(133)*-1))*-2)\/(sqrt(7) - (2*sqrt(7)*1 + sqrt(7))).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-7 + -2)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -11*p + 8*p. Let k(w) be the second derivative of -w**4\/12 + 5*w**3\/2 - 9*w**2\/2 + w. List the prime factors of k(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 3. Let q be p(2). Let z(v) = v**2 - 4*v + 6. Let l be z(4). Suppose -4*u + 7*u = -l. Is q at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 20*r. Let s(p) be the third derivative of 19*p**4\/24 - 941*p**2. Determine t(s(m)).\nAnswer: 722*m**2 + 380*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -145. Suppose 5*p + 5*z = 35, 5*p - 5*z = 16 + k. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 443283 by 3.\nAnswer: 147761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*x + x = 0, 3*x - 16 = 5*i. Let y be -2 + (0 + -2 - i). Is y bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 134 + 15320*n**2 + 35*n**5 - 15320*n**2 + (0*n**2 + n**3 + 0*n**2)*(3*n**2 - 2*n**2 + 0*n**2) + 0*n**5 - n**5 - n**5 + 3*n**5 - n**5 + n**5.\nAnswer: 37*n**5 + 2*n - 134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -17 - 28 - (1 - (1 + 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*k**3 - 4*k**3 - 1215*k**5 - 4*k**2 + 1 + 1212*k**5 wrt k.\nAnswer: -180*k**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/10 and 11\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (31 - 40 - ((-4 - -9) + -18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -7*w + 2*w - 17, -w - a = 4. Let v = 2 + w. Let c = 25 - v. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1544919, 6179670, 13904255, 24718674, 38622927, 55617014?\nAnswer: 75700935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1732039 + 1500236.\nAnswer: -231803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200010*v**3 - v + 199836*v**3 + v.\nAnswer: -174*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from {k: 2, x: 4, c: 2, a: 1, i: 1, z: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2238991 (b) -1\/3 (c) -1\/8 (d) 1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-3))\/((-5)\/(-15)). Let o be c\/(-25) + (-2)\/(-10). Let u(r) = -r**3 + 3*r**2 + 2 + 2*r - 4 + 0*r**3. Calculate u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 45*z**2 + 0*z**4 - z**4 + 81*z**2 - 3*z**2 - 3*z**3 - 53*z = 0.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*10008\/2250 + 16 + 8 + -2.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4006*c - 4. Let t(l) = 1974*l - 2. Determine 2*o(b) - 5*t(b).\nAnswer: -1858*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5664 - 5663. Which is the nearest to 0.1? (a) 0.4 (b) 2\/3 (c) w (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 3*p - 2. Let r(f) = -4*f**2 - 4*f + 3. Let q(b) = -5*r(b) - 6*y(b). Let w be q(2). Let d = w + 24. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158023?\nAnswer: 3, 7, 102763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 + 685. Let d be b(0). Let p = -378 + d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*2\/(-4) - 24\/(-4). Let y(l) = -33*l**3 - 9*l**k - 10*l - 50 + 39 + 32*l**3. Calculate y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -2, 3, 19, 11\/4, -0.5 in increasing order.\nAnswer: -2, -0.5, -1\/12, 11\/4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 48433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 153. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 14*h**2 - h - 14. Let c be m(-14). Suppose -f + y + c = -31, -3*f + 2*y + 94 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -32, -11, 28, 91, 184, 313, 484?\n\"Answer: r**3 + 2*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 2*v + 11*y - 577, 4*v - 5*y - 1143 = 0. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -197*a**6\/6 - 233*a**2\/2 - 1173*a. Find the first derivative of d(o) wrt o.\nAnswer: -3940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4352, -17441, -39266, -69839, -109172, -157277, -214166, -279851?\n\"Answer: -2*d**3 - 4356*d**2 - 7*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 180887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450.7593 microseconds in hours?\nAnswer: 0.00000095854425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 6*u + 1\/6*u**4 + 1\/2*u**3 + 0 + 3\/2*u**2. What is the tens digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 10 - 1759*v**3 + 1760*v**3 - 4*v - 173*v**2 to u + m*v + z*v**2 + x*v**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**3\/3 + 3*f**2\/2 + 5*f - 7. Let p be m(4). Is (-4295)\/p - 6\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**8\/20160 - t**7\/2520 - t**6\/240 - t**5\/15 - 11*t**2. Let p(x) be the third derivative of w(x). Give p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 34 = 3*y + 3*h, -h + 28 = 4*y. Sort 4, y, 5, -1, -2.\nAnswer: -2, -1, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 997224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 78*x**2 - 2*x. Let z(a) = 34*a + 10. What is v(z(n))?\nAnswer: 90168*n**2 + 52972*n + 7780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 13. Let w(q) = 22*q**2 + 7*q - 6. Let r be w(2). Calculate the greatest common divisor of r and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 3 + -5 + 9. Suppose h + 104 = 4*m - f*h, 2*m - h - 47 = 0. What is the remainder when m is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(136))\/sqrt(8))**2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7708, -15420, -23130, -30838, -38544, -46248, -53950?\nAnswer: -61650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlcxgzff. What is prob of picking 1 g, 1 x, 1 f, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 3*i + 431, 3*i = 9. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cca + -30477?\nAnswer: -2b47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r + 21*r + 3 - 46*r. Let l(k) = 2*k. Calculate l(h(a)).\nAnswer: -10*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*o - 136*o = 132 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(1 + -1 + -1) + (-10830)\/(-285). Solve 4*u = -3*u + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*o - 2, 1 = -2067*o + 2069*o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01769858216 rounded to six decimal places?\nAnswer: -0.017699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(26) + (sqrt(650) - sqrt(650)*2))\/sqrt(2) - 2*(sqrt(1872) + 2 - (1 + sqrt(832))**2).\nAnswer: 4*sqrt(13) + 1662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24 = s, -2*s - 5*t + 18 + 10 = 0. Suppose s*v + c = v + 5, 5*v + 5 = -5*c. Suppose -v*i = 5*u - 12, 5*u - 4*i = -i + 18. Solve y - u = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-475)\/152 + 900\/480?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/88 + -7\/11. Let m be 1745\/120 + -15 - 2\/(-16). Which is the biggest value? (a) m (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -114?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20323114 + 45?\nAnswer: 20323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*s - 13*s + 23*s)*(-35*s**4 + 152*s**4 + 35*s**4).\nAnswer: -1976*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3744 and 9.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1\/4)\/(8\/928))\/1. Suppose -z*r = -3529 + 78. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3 + 87*g**2 - 35*g - 277. Determine h(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (4 + (sqrt(1331)*3)**2)*-6)*4.\nAnswer: -287596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 8*z**2 + 8*z + 9. Let n be y(9). Suppose j + n*j = 0. Which is the closest to -2\/7? (a) j (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6501 - 6500. Which is the nearest to -1\/3? (a) -0.3 (b) l (c) -6 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b42 + 2?\nAnswer: -2b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:58 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*236\/10384*-3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2140 and 125.\nAnswer: 53500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-18))\/((-1)\/(-2))*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 20*z - 18. Let x be d(9). Suppose f = -4*t + 44, -3*t + f + x*f = -40. Is (-11946)\/(-14) - t\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4681, 4865, 5043, 5215, 5381, 5541, 5695?\n\"Answer: -3*y**2 + 193*y + 4491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 14. Let n be ((-6)\/(-7))\/(((-16)\/28)\/4). Let h be o(n). Suppose -5 - 25 = -3*i. What is the highest common divisor of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 = p, -p - 6 = p. Suppose 0 = -3*k - 3*y - 2*y + 1, 5*k = -4*y + 19. Suppose 42 = -k*r + 126. Calculate the greatest common factor of r and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 9. Let b(d) = -4*d + 3. Let r(x) = 9*x - 6. Let f(m) = v*r(m) + 7*b(m). Let o be f(4). Let s(j) = 17*j**2 + j + 1. What is s(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*g*h*z + 197*f**3*g*z**2 - 19*f**3*g - 18*f**2*h*z**2 + 31*f*z**2 - 2*g*h*z - 2*g*h wrt f.\nAnswer: 6*g*h*z + 1182*g*z**2 - 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24477 - -26952. Calculate the highest common factor of 117 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.5. Suppose -32*r = 11 + 21. Which is the closest to r? (a) -2 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 80. Let z be h(-20). Which is the closest to -2? (a) -3 (b) -0.3 (c) 3\/4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen ninths of a week?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 149*s - 1 + 199*s - 287*s + 4.\nAnswer: 61*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from mnnmnmmmnm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 15 (b) -0.1 (c) -0.4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632452.\nAnswer: 2, 158113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 804811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((-64)\/56)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306784581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0672, 0.039, 0.108, 2, -1\/2?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - f**2 + 86*f - 11. Let n(d) = -d**3 + 17*d - 2. Give -2*i(w) + 11*n(w).\nAnswer: -3*w**3 + 2*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924652344?\nAnswer: 2, 3, 7, 11, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.85485536 to the nearest integer.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v. Let a be (-231)\/(-3)*2 - v. Suppose 4*g + 326 = -a. Round g to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.204 and -0.06.\nAnswer: 4.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3)*z)\/z*(z\/(z*z**(-7)*z*z))\/z)\/((z\/(z*z**(2\/15)))\/z*z*z**(-2\/5)*z))\/(z\/(z**(-1\/9)\/z)*z*z\/z**(-12)*z)**(-6\/5) assuming z is positive.\nAnswer: z**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 150*c**2. Let b(q) = 3*q**2. What is b(t(a))?\nAnswer: 67500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311935.8423 - 311965. Let f = o + 29.1. Round f to three dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13321?\nAnswer: 13321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 582 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 36 - 2*z**3 - 32 + 68 - 4*z**4 + 2*z**5.\nAnswer: 2*z**2*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -198, -294, -390, -486?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y - 24*y + 41157*y**3 - 21*y - 41161*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 480361?\nAnswer: -480360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = -f + 17*f. Let r = f + -49. Solve r*l = 3*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/84126 and -73\/781170?\nAnswer: 5468190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101021 + -452?\nAnswer: -101513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.9 - -55. Let y = 113\/245 - 3\/49. Let a = 313 + -313.3. What is the smallest value in a, y, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010112122111 - -2?\nAnswer: 10010112122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102011122 - -20110102?\nAnswer: 10122122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 5204332352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/136 + 17388\/(-4704))*7\/12?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49258126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*t**2 - 51*t**2 - 2*t + 105046*t**3 - 105088*t**3 + 2*t.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9955136 and 1288?\nAnswer: 69685952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2906, -23277, -78570, -186245, -363762, -628581, -998162?\nAnswer: -1489965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000387732152 to 6 dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.3 - -4.3. Let w = -25 - t. Which is the closest to 1\/3? (a) -0.4 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.0316 litres in millilitres?\nAnswer: 922031.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136786 is divided by 68372.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*i**2 + 65*i + 2 wrt i.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2\/2 - 6*b + 1. What is d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 6. Suppose 3*s = 5*j - y*j + 8, 5*j - 3*s + 2 = 0. Suppose j*k - 18 = -k. Calculate the greatest common factor of 66 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:56 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 1283920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a - 9. Give l(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1062008, -2124023, -3186038, -4248053, -5310068, -6372083?\nAnswer: -7434098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqbbqbbbbqbqbbb. What is prob of sequence bbbb?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1977 + 1972. Let b(a) = a**2 + 10*a - 7. Give b(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/24)\/(30\/((-33600)\/(-20)))*3\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2326 - 1696 = 2*p, -5*k + p = -5035. Let f = k + -618. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**6\/30 - x**5\/5 - x**4\/2 - 2*x**3\/3 - x**2\/2 - 2*x - 1. Let w(d) be the first derivative of j(d). Factor w(t).\nAnswer: -(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -979 + 3307. Suppose -5914 = 2*h + j. Let p = h - 15879. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-8)*624\/728. Let z(t) be the third derivative of 19*t**2 + 1\/20*t**5 + 5\/8*t**4 + f*t**3 + 0*t - 1\/40*t**6 + 0. Let z(n) = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/(-26) - 99\/117. What is the remainder when (t - (-102)\/(-15))\/(2\/(-10)) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4320 divided by -20\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40908, 73671, 106434, 139197, 171960?\nAnswer: 204723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*8*15\/(-60).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.721 + 0.479. Let c = 0 - -0.2. What is the second biggest value in -2, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 13*b + 3*b - 3*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -86. Let f(k) = 4*k**2 + 3. Let w(l) = -7*l**2 - 5. Determine o*f(c) - 6*w(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/112)\/(298\/6854).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 1\/5, 403, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 - 403. Let v(o) = 3*o - 22. Let l be v(i). Solve -l*h + h + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c + 31963 = 32098 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 41*i + 31. What is u(22)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144994\/21 - -6908. Let i = 14207\/306 - 675\/17. Calculate the common denominator of i and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83155248 and 54.\nAnswer: 83155248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 365 = -3705. Suppose 0 = -5*z + 3*r + 1106, 7*r + m = 3*z + 3*r. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7949 - 7953.077. Let k = t - -0.077. What is the nearest to k in 0.5, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/855? (a) -0.02 (b) 29 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 402*p**2 - 1611*p + 5197. What is i(-406)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17380464 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8742973*f. Let a(x) = -13*x. Determine g(a(d)).\nAnswer: -113658649*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4196 - -22725. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2065878 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088*n = -4*k - 2084*n + 12, -n + 1 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/44 and 19\/148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 - 7*l - 3. Let v be m(7). Let a be -3 - 2 - (1 + v). What is the remainder when (-77)\/a - 2\/3 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 - 6*k - 5. Let i be z(-4). Suppose i*h - 5*c = 5, 1 = 2*c - 3. Suppose h*o - 911 = 1524. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3144663*l**3 + 814*l**2 - 2*l + 857 wrt l.\nAnswer: 18867978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2 (c) 39 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 5\/(-5)*(20\/5 + 7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4) + 2)*-82. Let s = -234 + 207. Let w be (-27)\/s*(-2 + (166 - 0)). Calculate the greatest common divisor of w and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r. Suppose r*j - 3*b - 9 = 3*j, 5*j - 2*b = -1. Let z be j*((-20)\/(-5) - 4). Solve s = -z*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006745 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3171.598*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-12) - -6) + (-3 - -1). Solve -7*v + v - 30 = s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62086 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 2*f\/3 + 8\/3.\nAnswer: -(f - 4)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 7*m - 8*m - 2, m - 13 = -4*q. Suppose -2*v - q = -v, 2*r = 5*v + 11933. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71518, 69414, 67310, 65206?\n\"Answer: -2104*w + 73622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) + 1\/9*16. Sort -0.1, s, 13 in descending order.\nAnswer: 13, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38783\/44 - 882. Let z = y + 9\/11. Which is the nearest to -1\/3? (a) -1 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 3, h: 1, l: 4, p: 6}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Sort -3\/2, -5, m in decreasing order.\nAnswer: m, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000395199 rounded to six dps?\nAnswer: -0.000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 96\/18 - 2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/224)\/(22\/14)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3) - (2 - 8). Suppose -14 = -7*d + p*d. Calculate the remainder when (2\/(-5))\/((-1)\/40) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*c - 265 - 410 = -347*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.579893 + -0.010447. Let y = k + 0.59. What is y rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36402128 or -7?\nAnswer: 36402128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -19. Let c be ((-30)\/p)\/(2\/308). Suppose -c = -5*x - 0*x. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((189\/(-18))\/21)\/((-2)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let x = 0.009 + 0.111. Let z = x - 0.32. Put q, z, -3 in descending order.\nAnswer: q, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 16*f**2. Let k be y(-16). Suppose -5 = 2*o - o. Let r = o + 8. Solve k = r*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**2 + 1)*(-m**3 - 26*m**3 + 13*m**3) - 4*m**5 + 0*m**3 + m**3 + 3*m**5.\nAnswer: 13*m**5 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-26)*(-2)\/(-80).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.16852 centuries?\nAnswer: 131.6852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-2)\/(-3)). Let s(m) = 2*m - 2. Calculate the smallest common multiple of 1 and s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*6*(-2)\/(-9). Suppose -m = 3*m - c*j, 5 = j. Suppose 8*v = m*v. Solve v = 2*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2324221 (base 5) in base 12?\nAnswer: -20684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5735778097 to the power of 1\/2, to the nearest integer?\nAnswer: 75735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1)\/((-5)\/(-15)). Put 5, p, -2, -3 in decreasing order.\nAnswer: 5, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1.3608396?\nAnswer: 4.0825188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(-1\/3)*f*f*f**(-2\/3)*f*f**(-3\/4)\/(f**(-4\/7)*f)*(f**(2\/15)*f**3)\/(f**(-2\/3))**(1\/39) assuming f is positive.\nAnswer: f**(108739\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1388 and 1.21.\nAnswer: 1679.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 2*v - 6*v)*(-7*v - 4*v + 2*v)*(-5 - 72 - 15)*(4 - 2 - 4) in the form f + i*v + d*v**2 and give d.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -76. Suppose 2*a + b*a = 20. Suppose -3*p + 51 = 2*k, -3*p - 5*k = -a*p - 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let x(n) = n - 1. Give 5*w(y) - x(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7350, 7141, 6788, 6285, 5626, 4805, 3816, 2653?\n\"Answer: -b**3 - 66*b**2 - 4*b + 7421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-67613)\/(-364) + (-6)\/8. Let t = 926\/5 - x. Sort -3, t, -0.1.\nAnswer: -3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/(d**(2\/7)*d*d))\/(d*d**(-3\/5)*d*d**(2\/11)) assuming d is positive.\nAnswer: d**(-4852\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/1115 + -4448\/3345. Which is the closest to 1? (a) u (b) 0.38 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0 (c) 1 (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*u = -7, -3 = -3*m - 0*m - 3*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3 + 2)*-17. Calculate the remainder when (-310)\/p - (-4)\/(-18) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 150*f + 3459. Give u(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 55. Find the second derivative of t*h**2 + h**2 + 6*h**2 + 6*h wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285 or 281?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Let n = j + -1. Let i = -0.11 - -5.11. Which is the second smallest value? (a) -0.3 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -128.7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let g = 231 - 96. Let s be g\/(-30)*(-2)\/3. Suppose -s*m = -0 + 3. Determine v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**3 + 6. Let g(n) = 6*n**3 + 5. Give -6*g(v) + 5*k(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95325781*u**4 - 265*u**2 + 1180*u + 639.\nAnswer: 2287818744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + s + 1683037 = 0, -2*x + 1122030 = 9*s - 7*s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 259, 341, 567, 1009, 1739, 2829?\n\"Answer: 12*r**3 - 2*r + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*t - 20 = 0, -9 = w + 5*t - 34. Suppose w*v - 1526 = -2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.4. Let k = -36003\/4 + 9000. Which is the nearest to -7? (a) i (b) k (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168704652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 331 + 286 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49706 by 49706.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 445369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -1, 0.2, -37.443?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -46) + -1 + 0 + (-3 - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6164373 - 61538903\/10. Let j = 10472 - v. Find the common denominator of 13\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (4 + sqrt(432))))**2*-1.\nAnswer: -316 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-8)\/((-280)\/(-7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -5) + -17 + 21 + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19211699*j**4 - 76030942*j wrt j?\nAnswer: -230540388*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2*y**2 - 20. Let n(x) = -7*x**2. Determine v(n(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -19) + (10 + -1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726 - 7*y + 0*y - 676 + 2073 - 671.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2854*r + 1 + 1422*r + r**3 - r**2 + 1434*r. Calculate o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 449461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1273819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 + 2 - 11*r**3 + r - 114*r**4 + 105*r**4 as n*r**2 + c*r**4 + h + q*r + k*r**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00759838653 to seven decimal places.\nAnswer: 0.0075984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14336 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (225\/125)\/((-5)\/(-25))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 2*g - 4*m, 0 = -4*m - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 87.1. Let p = -1.1 - a. Let w be (-3)\/(-24)*(5\/1 - 2). Put w, p, -1\/3 in increasing order.\nAnswer: -1\/3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2274660 divided by 5.\nAnswer: -454932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/859544 and 101\/3008404.\nAnswer: 6016808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 540*a**3 + 24816*a**2 + 410432*a + 1022208.\nAnswer: 4*(a + 3)*(a + 44)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25951, -52553, -79155, -105757, -132359, -158961?\nAnswer: -185563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 + 11. Let x(w) = 14*w**2 + 11. Calculate -4*d(n) + 3*x(n).\nAnswer: -10*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1021 - 958. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 59*u - 4. Suppose -45*i + 49*i + 4 = 0. Let r be m(i). Which is bigger: -62 or r?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(15)\/sqrt(3) + sqrt(5)) + sqrt(720) + sqrt(720)*1.\nAnswer: 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 15*v - 10*v - 35, -30 = 4*u - 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.094+-0.875\nAnswer: -0.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/1600*-8)\/((-3)\/((-30)\/(-4)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j - 8 = -125*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8354 times -0.18?\nAnswer: -1503.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*h - 4*f, 3*f - 2 = 5*h - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 2*f + 2*f)*(4 + 0 - 5) + 0*f + f + f + f + 3*f - 2*f + (-1 + 2*f + 1)*(-3 + 3 + 2) + (f - f + 2*f)*(-2 + 4 + 0) in the form u + h*f and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -65440 (base 7) to base 12\nAnswer: -9561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207450437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 351 = 237. Suppose 23 = -4*k + g. Let z = k + -17. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 470?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 927707768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, m: 9}. What is prob of sequence mxxm?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32355 and 23696802?\nAnswer: 118484010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h + 1. Let n be (-2)\/(-6)*(22 - h). Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 17*z - 40 = 0. Let r = z + 26. Suppose 5*t = r*t. Which is smaller: t or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + -21. Let f = a - -52.47. Let g = 0.57 - f. What is the nearest to g in -5, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/3)*g**(-2\/5)*g**(2\/9)*g**(-2\/5)\/g assuming g is positive.\nAnswer: g**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210918303?\nAnswer: 3, 17, 23, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 9*s**2 + 10*s - 13. Let z be u(8). Solve z*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181812844 - -5?\nAnswer: -181812838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/63*-15*11\/((-220)\/450). Factor -b*z**3 + 6 - 36*z + 135\/2*z**2.\nAnswer: -3*(z - 1)*(5*z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3*b. Let k(j) = 50*j**2 + j - 1. Let l(y) = -1094*y**2 - 6*y + 22. Let x(w) = 44*k(w) + 2*l(w). Calculate -32*q(r) + 3*x(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*h + b, 6 = -0*h - h - 3*b. Let n = 21 + h. Is 18 a factor of n\/(-4)*(-17 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/((d\/(d\/d**(-16)*d))\/d))**(1\/2)*d*d\/(d\/(d\/(d*d\/(d**(-15)*d)*d*d*d))*d)*d**(2\/57))**(-2\/67) assuming d is positive.\nAnswer: d**(851\/3819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = -9, -5*x + 127 = 2*z. Let i = -6 - -32. Suppose i*s - 11 = x*s. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 - -776. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1681 times -0.26\nAnswer: -437.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) -2 (b) 0.3 (c) -16678\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 2 - 2 + 59*m**2.\nAnswer: 55*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 71*1500.4\nAnswer: 106528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-72)*(-3)\/(-10)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**5\/30 + d**4\/8 - 10*d**3\/3 - 11. Let w(n) be the third derivative of u(n). Determine w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14858*m - 74291. What is k(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzfa when four letters picked without replacement from {u: 1, z: 2, f: 1, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7825 + -0.0175. Is j smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9668917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-199 - 2102 + 3084 - 6281)*(3 - 2*j - 3) as n*j + b and give n.\nAnswer: -21992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/1*4\/6. Let u = -18 + x. Suppose -u*g = g + 5*p - 56, 3*g - 5*p = 16. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 16 + 10)*(11 + 4 - m - 8) - m + 0*m - m - 3*m - m + 5*m + (2*m + 2 - 2)*(2 - 6 + 3) + (0*m + 0*m - m)*(1 - 3 + 0) in the form i*m + q and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**5 - y**3 - y**3 + 18*y**5 + (y - 1 + 1)*(3*y**4 + 2*y**2 - 2*y**2) - 2*y**5 - 1 + 1.\nAnswer: 2*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3663*b - 3252*b = 3699 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**3 + 11766833*m**2 - 11766833*m**2 - m.\nAnswer: -36*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - y = -2970, -5*n - 2*y + 4961 = -4*y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.04230106254721?\nAnswer: -0.35769893745279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1315925.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylyyyyky. What is prob of picking 4 y?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x - 2. Let j be (-200)\/(-24) - (-2)\/(-6). Suppose -x = -2*i + j. Solve i*w = 11 + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-460)\/13685)\/((-18)\/(-63))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 62 = -319. Let -114*m**3 + d*m**2 - 9*m**4 - 14*m - 4*m**5 + 47*m**4 - 18*m - 15*m**2 = 0. Calculate m.\nAnswer: 0, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m. Suppose -3*r - 246 - 180 = m. Let n = r + 212. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9364, 7177, 3534, -1565, -8120?\nAnswer: -16131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115 and -5.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -2, 8, 22, 40, 62, 88?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2 + 7*u - 5. Let b be d(-6). Let k = -27 - b. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/2))**24 assuming z is positive.\nAnswer: z**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1427570\/9 or 158620?\nAnswer: 1427570\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -413442?\nAnswer: -413444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(119)*-3 - sqrt(119) - (sqrt(119) + -1*2*sqrt(119)))\/(-3*2*sqrt(7)*2*-4))**2.\nAnswer: 153\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (4 - 1 - 3). Suppose -c*x - 4*p + 13 = 0, -x + 1 = 6*p - 3*p. Solve -x = 2*u - 3*z - 1, 0 = -4*u - 4*z - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 28*u**3 - 32*u - 18. Let o(q) = q**3 - 2*q - 3. Give 6*o(g) - s(g).\nAnswer: -22*g**3 + 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -37*y - 35. Let f(g) = -g**2 + 9*g + 10. Let d be f(11). Is a(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 0*q**2 + 50*q - 22*q - q**2 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xerurerrrerxrrruxe. What is prob of picking 1 r and 1 e?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0 + 0*d**3 + 1\/15*d**6 - 1\/15*d**5 + 0*d + 0*d**4 - 2*d**2 - 2\/105*d**7. Factor f(t).\nAnswer: -4*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 - -967\/5. Which is the nearest to 1? (a) s (b) 2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 7312*h - 192816.\nAnswer: 4*(h - 1854)*(h + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 5. Let p(i) = 2*i - 5. Let v be p(5). What is q(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 51256224?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*l + 10, 2*l - 4 = 5*h - 0*l. Let a be 0\/(h\/((-2)\/1)). Differentiate -2*j + 0 + 0 - 4 + a with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3755*r**2 + 3 + 3750*r**2 - 19*r + 1)*(2*r - 3*r + 3*r).\nAnswer: -10*r**3 - 38*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*506\/805?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2. Let b be d(1). Let n(l) = 6*l**2 + 4*l - 4. Let a(y) = -5*y**2 - 3*y + 3. Let w(z) = b*a(z) + 3*n(z). Let q(x) = 7*x**2. What is q(w(o))?\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bkxkl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*u - 48*u - 48*u - 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 1 (c) -4 (d) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88594 and 1650?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 9) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 20*y**2 - 22*y - 24. Let g be d(-18). Let o = 295 + g. Calculate the highest common factor of 494 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(44\/(-484))\/(2\/(-66)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12122.\nAnswer: 2, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763327018.\nAnswer: 2, 381663509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 3*s + 3*s + 0*s + 32043.\nAnswer: 2*s + 32043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1275 - 804. Calculate the remainder when q is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1070, 5, -49 in decreasing order.\nAnswer: 5, -49, -1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 26 = -5*r - 7, 5*b - 40 = -5*r. Let k = -2 - 0. Let m = r + k. Solve -m*d + 2 = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqq when four letters picked without replacement from qdqqdssff?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -181*h**3 + 2*h + 1. Let q be n(-1). Suppose -174*j - 30 = -q*j. Suppose -5*r - 9 = 6. Put 37, r, j in descending order.\nAnswer: 37, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48763*q - 8*q**3 + 7*q**3 + 48692*q - 97483*q.\nAnswer: -q**3 - 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 201*x - 800. Let l be o(4). Solve 5*w + 29 = -g, 3*g - g - l*w - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 144.245\nAnswer: -1.44245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 427 = 5*s + 557, 18*s = 4*u - 416 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:04 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 48 = 0. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 533576681*l**5 - 375146166*l**2.\nAnswer: 32014600860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -917*o + 4216 - 2098 - 2118 in the form h*o + c and give h.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.017 (b) 2 (c) 7 (d) -2 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 28*g = -2524. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 383*c**2 - 1186*c + 17490. Give t(380).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + 7. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535369613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.32 - 0.68. Let b = -37.5 - r. What is the third biggest value in -1\/9, -0.07, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2430, 2425, 2418, 2409, 2398?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 65409, 131625, 197833, 264027, 330201, 396349, 462465?\n\"Answer: -d**3 + 2*d**2 + 66217*d - 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50296409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 21776467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 68*h - 219. Let f be a(3). Factor -1\/5*v**5 - 4\/5 + 1\/5*v**4 + v**f - 1\/5*v**2 - 8\/5*v.\nAnswer: -(v - 2)**2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10579923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -240, -343, -430, -495, -532, -535, -498?\n\"Answer: f**3 - f**2 - 117*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1482335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3) - 490\/162. Suppose -18*j = -14*j + 252. Let w = -63 - j. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391 and 119.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1345.3019 from 790002.\nAnswer: 788656.6981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**4*g*g\/(g*g*g**(-3)*g)*g*g*g**1*g*g*(g\/(g\/(g\/((g\/g**1)\/g*g))))\/g assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-498807)\/(-14585))\/(15\/(-25))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*((-4)\/(-70) - 0). Let y = -1.1 - -1. Let p = y - 0.1. What is the smallest value in p, r, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 955, 957, 959, 961, 963, 965?\n\"Answer: 2*b + 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**4 + 92*l**3 - 388*l**2 + 516*l - 216 = 0.\nAnswer: 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 7*q**2 + 5*q**2 + 8*q)*(2 + 3 - 4).\nAnswer: 12*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y**3 + 28*y**3 + 3*y**3 + 26*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:08 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 - 391. Let x = a - -55. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8969700 bigger than 8969697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -21 - (3 + -2). Let m be (-2)\/11 - (-106)\/y. Let h(a) = 2*a**2 + 7*a - 1. List the prime factors of h(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 4*h**3\/3 + 6*h**2 - 20*h. Calculate the remainder when s(5) is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506003059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 38. Let c = f - -26. Suppose 4*w = 5*r - w - 85, 0 = -c*w - 8. Solve -4*v = -z + r, z + 5*v + 20 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103\/714 - 1\/714. What is the third smallest value in -2\/9, 0.4, x, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -282, -1268, -2254?\n\"Answer: -986*n + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/9)\/7)\/((-16)\/(-36))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -17, 4, -4, -109 in descending order.\nAnswer: 4, -2, -4, -6, -17, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 27668*r**2 + 138256*r - 110592.\nAnswer: 4*(r - 6912)*(r - 4)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 5. Let f be k(-14). Let u = f - 43\/2. What is the nearest to u in 0.3, 2\/15, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3319, -6720, -10233, -13876, -17667, -21624?\nAnswer: -25765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose -11 = -3*v - i + 9, 8 = -t*i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-138) - 780\/2093. What is the nearest to 1\/2 in f, 8, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 48) + -2 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*z - 203*z + 1 + 10 wrt z.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 16, 8, 18, 58?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 30 - 90 + 20 - 71*k.\nAnswer: -71*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -551053\/280982 - 4\/10807. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 + 314. Solve 5*i + 8 = 3*o, 2 = -o - 3*i - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173286947?\nAnswer: 13, 167175919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21)*-2*(-1)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -9 + 1 + 1. Let p = u - 1. Let r be (-6)\/(-15)*5 - p. Solve 5*n = 2*t - r, -15 = -3*t + 2*n + n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 + 4*p - 4. Suppose 0 = x + 4*x + 200. Let d be 270\/x + 6\/8. Let n(t) = t**2 + t - 1. Calculate d*n(h) + f(h).\nAnswer: h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -22. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*o**3\/5 - 2704*o**2\/5 + 14636*o\/5 + 2184 = 0. What is o?\nAnswer: -273\/11, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*(-2)\/(-12). Let k = -2.326 + 0.026. Let f = -2.1 - k. Which is the nearest to f? (a) v (b) -3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19538, 39040, 58548, 78062?\nAnswer: 97582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 24017076*n + 96068272 = 0. What is n?\nAnswer: -12008534, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**2 - r + 2. Suppose n = 2*n - 2. Let z be f(n). Let l = z - 25. What is the greatest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3, 2, -17, -4\/39?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 20*f + 33. Let l be n(-16). Let z = l + 39. Suppose -2*r - 7 = -53. Calculate the remainder when r is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -644\/11 in 0.3, 2\/11, 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(4 + sqrt(700)) + sqrt(700))*-5 + -3.\nAnswer: 97 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549260 and 1240570?\nAnswer: 71953060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11691, -93351, -314963, -746493, -1457907, -2519171, -4000251?\nAnswer: -5971113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -v - 17, -1425*z + 4*v + 3 = -1426*z. Solve -2*w - 4*t = 1 - z, -2*w + 5*t - 32 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762409?\nAnswer: 762409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510749.2mg to tonnes.\nAnswer: 0.0005107492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8 and 202*1\/72*(2 - 5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7)*g**(-6\/7))\/((g**(-4\/7)*g)\/(g*(g\/(g*g**(5\/2)))\/g))*(g\/g**(2\/7)*g*g*g*g*g**(-1\/2))\/(g**(-2))**46 assuming g is positive.\nAnswer: g**(605\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1 (c) 0.14 (d) -3 (e) -4\/11 (f) 86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/30 - t**5\/30 - 13*t**4\/24 - 10*t**3\/3 + 2*t**2 + 87. Is q(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 32*b - 189 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(52) - 2*sqrt(52)) - (sqrt(6292) + (sqrt(6292) + 2)**2).\nAnswer: -6293 - 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 85?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b + 669710 + 322689 + 244659 = 0. Is 46 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001101 (base 2) in base 9?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(54)*-1)\/(-6*sqrt(12)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3054 = -3*s, c + 0*c - 1038 = -4*s. Suppose -7*z - c = -9*z. Let t = z - -39. What is t rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-129)\/45 - -3). Let m(w) = -w**2 - 8*w + 21. Let b be m(x). Solve 0 = 3*z - 0*z - b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 489546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*p**3 + 35*p**3 + 3*p - 19*p**3 + (-5*p**3 - 4*p**3 + 6*p**3)*(-2 + 11 + 1).\nAnswer: -34*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 980 divide 9154071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*t - 13, 115*t = 3*n + 118*t - 15. Solve n*a - 10 = -2*v, 18*v - 16*v = -a - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1597621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = -17. Let x be -1 - 2 - -1 - -2. Let y = x - i. Solve 2*l = 5*u - 15, 3*u = -l + y*l + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1420 + 2743. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6079\/876 - 120\/73. Calculate the common denominator of g and -19\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9875844 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -13. Suppose 0 = -3*r + h. Let c be 0\/(1 + (r - 2)). Solve 10*t - 5*t - 10 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377410 by -188705.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**2 + 6*q - 1 - 5*q + (3 + q - 3)*(q - q + q))*(-194 - 318 - 2981).\nAnswer: 3493*q**2 - 3493*q + 6986","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 13. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5)**(-9)\/(d**(3\/11)\/d**(-1\/19)) assuming d is positive.\nAnswer: d**(-9473\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = -3*s, 2*g + 6 = 3*g - 4*s. Suppose 43*m - 53 + 10 = 0. Let p be 3774\/(-555) - m\/5. Which is the nearest to -1? (a) g (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.2, 4, -3, 5 in increasing order.\nAnswer: -3, -0.2, 0.02, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let j be (-10 - -2)*2\/d. Solve 5*t + j = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69439 (base 16) in base 4?\nAnswer: 1221100321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72160747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*h + 293*h - 664*h in the form k*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10382263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512042 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 + (10 - 7) + (-7 - -17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.971*-250\nAnswer: 742.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b59 - 8?\nAnswer: -b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -18*f - 687. Determine r(-43).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q - 2*q + 2*q to v + i*q and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - 1021221102100?\nAnswer: -1021221100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 121012113?\nAnswer: 121012032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - -3. Let x = -534 + 538. Which is the biggest value? (a) w (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -331 - -355.7. Let r = -25 + l. Let y = -418\/5 - -83. Which is the third smallest value? (a) r (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.8 - 2.2. Let t = x + 24.1. What is the third biggest value in t, 5, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*p + 568 = -244*p. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + 1001010111011110010?\nAnswer: 1001010111011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r + 436*r**4 + 2*r + 7*r + 23*r**2 - 37*r**2 wrt r?\nAnswer: 10464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let x(r) = 2*r - 3. Let l be -6 + 2 + (2 - 3). Let m(h) = l*p(h) - 2*x(h). Calculate m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 1. Let f be (-12)\/7*28\/(-8). Let j(d) = 7*d**3 - 3*d**2 + 3. What is f*w(x) + 2*j(x)?\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 2210.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 641 - 35?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65788460483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.3 + 29. Let q = -0.3 + -7.7. Let u = -8.1 - q. What is the nearest to u in -0.5, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 5) to base 15.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12853 (b) -221 (c) -1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (4 + -2)) + 14 + -20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32856 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23167770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2076)\/(-14) - (-10)\/(-35). Suppose 201 = 4*g + i - a, -4*i + 106 = g. Is 43 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-15)*m)\/m)\/(((m\/(m*m*m*m\/(m\/(m*m**44))*m))\/m)\/m)*(m\/(m\/m**(-6)))\/(m\/(m*m*m**(-40))))**(-10\/11) assuming m is positive.\nAnswer: m**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 486*r - 1456. Determine l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + 2*x + 1. Let d be q(-1). Let c be d + -1 - (18 - 16). Solve c = 4*f + 5*b - 17, 0*f + 2*f - 1 = -b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)\/w)**(1\/57)\/(w**(-3)\/w*w\/(w*w\/((w\/w**(-2\/15))\/w*w))) assuming w is positive.\nAnswer: w**(733\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 86245.82 - -0.07\nAnswer: 86245.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-88))\/((-5)\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -1.9. Let o = -307.44 + 306.44. Which is the nearest to o? (a) -3 (b) 3 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Let n(y) = 5*y**2 - y + 10. Let u(x) = 6*x**2 - x + 10. Let s(j) = -7*n(j) + 6*u(j). Let q be s(-5). Solve -z*v = -5*v - q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11818086 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -91 (b) -2\/113 (c) -2 (d) 0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 q when three letters picked without replacement from {q: 4, t: 5, k: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 141, 272, 447, 666, 929, 1236?\n\"Answer: 22*d**2 + 21*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 47*o - 29. Give x(-2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 37 = 65. Let b = 28 + -48. Sort b, x, 0.4 in descending order.\nAnswer: x, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - 1267*h - 48708. Determine a(-272).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -58*d + 932. Let j be z(16). Calculate the highest common divisor of j and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5 + 2*m + m**3 + 7*m - 5*m**2 - 8*m. Let g be v(5). Solve g = 2*o - 2 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1513*-0.3\nAnswer: 453.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = -242*q + 916 + 987. Solve q*t - 23 = -11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -103\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) 3 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 26 = 4*p, 4*p - 37068*w + 49 = -37071*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i - 260. Let q be i\/15*(-42)\/(-8). Let m = q + 44. Which is the second smallest value? (a) -2\/25 (b) 10 (c) m (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75599*l**3 - 3*l + 23760?\nAnswer: 453594*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**6\/10 - 9*p**5\/4 + 31*p**4\/2 - 24*p**3 + 208*p + 1. Factor q(t).\nAnswer: 3*t*(t - 8)*(t - 6)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -117*q - 12*q - 920 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzmz when four letters picked without replacement from ebmwlmzwz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 3*k = 4*y - 93, -315*y - 9*k + 12*k = 5673 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 14*x = -700. Let f = x + -171. Solve -3 = f*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 550, 559, 532, 457, 322, 115?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1721 - -1030. Let p = 1381\/2 + w. What is the closest to 0.1 in 1\/4, -2\/17, p, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025869 to five decimal places.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151851 divided by -1033.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4414956 and 11\/8199204.\nAnswer: 57394428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-504)\/(-3129)) - 33\/44?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 2*h + 176 + 4*h - 176.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-52)\/2 - 1). Let m be x\/12 + (-6)\/(-8). Suppose m*w + w = 12. Solve 0*z = -3*z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.52 minus 0.75?\nAnswer: 32.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, j: 2, r: 6, k: 1, w: 5}. What is prob of sequence krjd?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -3, 0.67, -0.086?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 23. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -277099 - -10743811.67\nAnswer: 10466712.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -8.42 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3719 - 3674. Suppose -d = -0*d + 51. Let p = o + d. Let b(y) = -y - 2. Let g(n) = 6*n + 11. Give p*g(s) - 34*b(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58460 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 3*g. Let r be x(-4). Suppose 2*t - k = 151, r = -3*t + 4*t - k. Suppose 0 = -4*s - q + 125, -4*q + q = 2*s - t. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + b = -163178, -824*b = -z - 827*b + 40775. What is the highest common divisor of 113 and z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7371681353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20224 is divided by 970.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 113786 and 12.\nAnswer: 682716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + -9 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 - 15. Let s = 208 + o. Which is the second smallest value? (a) 1 (b) 0.1 (c) s (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 3*r + 4885 + 20 = 0. Which is smaller: r or -547?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:48 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -44*p + 66. Let b(y) = -33*y - 32*y - 34*y + 139*y - 41*y + 1. What is 66*b(v) - c(v)?\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(7\/(-5))\/((-22)\/660)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -853 - -860 - -51*(-12)\/(-18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11479 or 0?\nAnswer: 11479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.931 to zero dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*j + 972, -35*c = j - 31*c + 180. Let r be 12848\/j - 1\/12. Which is smaller: r or -61?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by 11.\nAnswer: 350\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + -85 + -1 + -1 + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.2 - -10.8. Let o = z + -52.79. What is o rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 9*l + 3. Suppose 27 = 75*w - 78*w. Let a be z(w). Suppose -5*u + 11 = -3*c, -2*u = -7*u - 4*c - a. Solve -n - u = 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1367, 5198, 11573, 20480, 31907, 45842, 62273?\n\"Answer: -2*i**3 + 1284*i**2 - 7*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/12*(1028\/624)\/(-257).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v + 4*v - 11*v)*(-2*v + 2*v - v**3) - 30*v + 30*v + 4*v**4.\nAnswer: 29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(272)*4 + (sqrt(272)*1 + 4)**2 - -2*(2 + -1 + sqrt(1700))**2*-1.\nAnswer: -3114 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 50*l + 6518. Does 9 divide m(-76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 - 33*z + 23. Let d be i(-6). Let t be (-18)\/22 - 3*d\/(-15). Factor 0*v + 0 + 0*v**3 + 0*v**2 + t*v**5 + 2\/11*v**4.\nAnswer: 2*v**4*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/(1\/2). Let o be ((-1)\/s)\/((-3)\/(-9)). Solve -5 + o = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 - (2 + -3 - -2). Let f(a) = -a**3 + 5*a**2 - 6*a + 11. Let w be f(4). Suppose 2*c = -2*c + 32. Solve -3*n - c = 2*v + 8, -x = 5*v - w*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let q = -0.98 - w. Let r = q - 0.0197. What is r rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*j**2 - 28 + 28 + 105*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 247 - 18. Let f = g + 58. Solve 0 = f*m - 9 - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/3 - 5*v**4\/3 - 7*v**3\/3 + v**2\/3 + 8*v\/3 + 4\/3 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 16) in base 13?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17185 times -0.14?\nAnswer: -0.304059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2*o + 0*o)*(1 + 2 - 4) - 22*o + 15*o + 34*o to n + i*o and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 0.37806\nAnswer: -0.340254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**3 + 14100 + 116*h**3 + h**2 - 91*h**3.\nAnswer: -5*h**3 + h**2 + 14100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*a - 4*n, 2*n - 3*n - 1 = 2*a. Let g be a\/7*2\/(-12). Suppose -77*o = -4*h - 79*o, 5*o = 2*h. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, t: 4, j: 1, z: 2}. What is prob of picking 1 z, 1 t, and 1 w?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k + 600. Let d be r(71). Which is greater: d or -500\/13?\nAnswer: -500\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((23\/(-23))\/(-23))\/(7\/((-84)\/18)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0.4, 1, -2 in ascending order.\nAnswer: -2, 0.4, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 59*o + 3 - 3 - 120*o + 60*o.\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24276 - -24279. Solve 38*o + i*o = -82 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (8 - 4) - (-2 + 1). Which is the second smallest value? (a) s (b) 1\/186 (c) -2\/11 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.17 + 0.048. Let p = -2.2 - -1. Let l = p + g. Round l to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/876 and 37\/76.\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let o(s) = -7*s + 2. Let g(z) = o(z) + 4*u(z). Suppose 3*r + 4*c + 2 = -14, -5*r - 23 = 3*c. What are the prime factors of g(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-2))\/(-5))\/(9\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-11 - 3) + -1 + 26\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51902, -103807, -155712?\nAnswer: -207617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048187143 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + -4 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906721759 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -5 (c) 4 (d) -1\/998 (e) 1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -23*g. Let o be k(1). Let x be -3*(o\/3)\/1. Solve 4*l = 5*v + x, 4*l = 5*v + l + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50406187\/4 - -12682618. Let h = k + -131984555\/1628. Let i = h - -6\/37. What is the biggest value in i, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) 69 (b) 5 (c) -0.2 (d) 6 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 9, -13, -53, -117?\n\"Answer: -u**3 - 3*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-294)\/(-6)) - 310\/35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 - g**2 + 0*g - 1\/6*g**3 + 1\/12*g**4. What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -2 + 4)\/2. Let r = 69749\/345 - 1011\/5. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let t(a) = -8*a. Let o(s) = 9*s. Suppose 2*b - 3*b + 5*m = -3, 0 = 3*b + 4*m + 29. Let z(y) = b*t(y) - 6*o(y). Calculate z(h(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*g**4 + 233*g**2 - 28082 wrt g.\nAnswer: 216*g**3 + 466*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 82 - 1119*m + 1142*m)*(-m**3 + 2*m**3 + 0*m**3).\nAnswer: 23*m**4 + 33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-13 + (8 + -11 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -31. Solve 13 + 4 = -5*c + y*d, 0 = 4*c + 3*d + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 2*j - 2*j - 5 - j - 1 + 1 + (2*j + j - 4*j)*(-4 + 3 + 3).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 44 = 16*s. Suppose 0 = s*k - 8*k - 12252. Let z = -2673 + k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99536 - 99536 - 80*d)*(-2 + 0 + 5) + 0*d - 3*d + 2*d - 5*d + 0*d + d.\nAnswer: -245*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/(-588))\/5*-7)\/2*(-21)\/24\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5211, 20764, 46643, 82848?\nAnswer: 129379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwizwwww. Give prob of sequence wwzw.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 1 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 20*c**2 - 23*c - 76. Let s(q) = 7*q**3 + 39*q**2 + 48*q + 151. Let d(k) = -2*s(k) - 5*z(k). Is d(-20) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-4 - 6 - -7 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1457 + 13099\/9. Suppose -226*o = -190*o + 108. Is o at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:09 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/304 in -1\/6, -11, -3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -5, -10.5938, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3965, 5, -3.1, 3.17 in decreasing order.\nAnswer: 3965, 5, 3.17, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7083 and 8657?\nAnswer: 77913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 + 1282*f**4 + 21516*f**3 - 957352*f**2 - 17590496*f = 0.\nAnswer: -22, 0, 28, 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -486*i**2 - 6*i - 8. Let q(j) = 485*j**2 + 6*j + 9. Let o(h) = -4*c(h) - 3*q(h). Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f, 0 = -5*d + 28*f - 26*f + 823. Calculate the highest common factor of 2805 and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.46104 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.8792712 to one decimal place.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.6 - -14.2. Which is the third smallest value? (a) 3\/5 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(12)*1 + 5*(sqrt(12) - (sqrt(12) + sqrt(12)*2)))\/(sqrt(324)*1*-5*4))**2.\nAnswer: 9\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 + -0.15. Let z = t - -11.12. Round z to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3622 (b) 1 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12*(-1 + 5). Suppose -2*o - s + 1 = -1, 2*s = -l*o + 1. Solve 2*h - 2 = o*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298332 + 3261745\/11. Let i = -1807 - g. Find the common denominator of i and (0 - 27\/4)*-6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + i)*(-2*i + 3 - 3)*((2*i - i + i)*(1 - 4 + 2) - 5*i - i + 4*i - 3 + i + 3) + (4*i - i - i)*(18*i**2 + 20*i**2 + 9*i**2).\nAnswer: 88*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826*f + 837*f = 77. Calculate the remainder when 354 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/195 and 43\/7540.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 + 11472*v**4 - 352308*v**3 + 1475240*v**2 = 0.\nAnswer: 0, 5, 26, 2837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0114434 + 0.01141. Round z to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*f**2 + 86*f**2 + 312*f**2.\nAnswer: 648*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -28. Suppose 8 = 4*o - c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 4) + -6 + -15 + 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10, 3*z = 4*z - g - 14. Suppose -7*n + 3*n = -12. What is the greatest common divisor of z and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u**2 - 2*u - 5. Let q = -2 - -6. Let d be s(q). Let z = d - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-15))**(-11\/4)*n**(1\/23)\/n**(2\/35))**(22\/7) assuming n is positive.\nAnswer: n**(1460591\/11270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*v - 3*i - 164, 210 = 5*v + 5*i. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872 = 31*j + 66. Does 23 divide (j\/(-4)*-3)\/((-399)\/(-12236))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 6:19 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - (-2 + (0 - -1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011111020 + -1100?\nAnswer: -2011112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43625 - -43623. Let f = 6.5 - 38.5. Sort m, -0.4, -3, f in descending order.\nAnswer: -0.4, m, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m + 21*m**3 - 2*m**2 - 15*m**2 - 24*m**3. Let x(b) = b**3 + 6*b**2 - 5*b. Calculate -4*a(g) - 11*x(g).\nAnswer: g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by -116.\nAnswer: 365\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 35*g + 51. Let t be -1*-7*(-1 - -2). Let l = t - -26. What is the remainder when l is divided by d(34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*t**3 + 3*b*t**2 - b*t - 3172*b + 1513465*t**5 + 2*t - 30 wrt t.\nAnswer: -6*b*t + 6*b + 30269300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100203233121 - -311?\nAnswer: 100203300032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2915840 divided by -5360\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 125255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = 4. Let q(i) be the second derivative of i**3\/2 + 5*i**2\/2 - 30*i. Determine q(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -31*u**5 + 1075*u**4 + 1632*u**3 - 5616*u**2 = 0. Calculate u.\nAnswer: -3, 0, 52\/31, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.84 and -11627.\nAnswer: 33020.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*4 - (716 - 703)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -7) + (2 - -1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y + 5*a - 260, 296 = 5*y - a. Let p = y - 56. Calculate the least common multiple of p and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 15*x**5 + 54*x**4 - 339*x**3 - 1434*x**2 - 576*x + 480 = 0.\nAnswer: -4, -1, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r. Let h(l) be the first derivative of -68*l - 5 + 68*l + 1 - l**2. Give i(h(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162929819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/6)*d*(d\/(((d*d**10\/d*d)\/d*d)\/d))\/d assuming d is positive.\nAnswer: d**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b58a1c (base 15) in base 13?\nAnswer: 1a347a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729 and 1671597.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**6*n)**(-4\/11)\/((n**(-21)\/n)\/(n\/(n\/n**(-28)))) assuming n is positive.\nAnswer: n**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -108*x - 539. Let c be u(-5). Let m(n) = 5*n**3 + n**2 + n - 1. Calculate m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.01, -0.5, 3\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**3 - 330*s + 330. What is r(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17081276875 minus 0.56?\nAnswer: 17081276874.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.101409 and -696.\nAnswer: -692.898591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4484.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.105 + -81.895. Let w = s + 81.99999868. What is w rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 15. Let u(v) be the first derivative of -3*v**2\/2 + 8*v - 1. Let t(n) = -4*b(n) - 7*u(n). Is t(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/17 (b) 3 (c) 426 (d) 82 (e) 17 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267\/(-89)*124\/12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1799*z - 40022. Calculate n(22).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -20. Let g(c) = 367999*c**2 - 7*c - 10. Let y be g(p). Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.5. Let j be 453\/(-755)*(-10)\/(-21). Put j, -0.3, r, 0.2 in ascending order.\nAnswer: r, -0.3, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2028 - 33*w - 490 + 6*w + 26*w in the form n*w + d and give d.\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1544, 5751, 12780, 22661, 35424, 51099, 69716, 91305?\nAnswer: 115896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let s(n) = n**3 - 2*n - 1. Let k(l) = r(l) - s(l). Let a be k(-2). Suppose -a = -t + 3*u + 1, -4*u = 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -166, -219, -282, -349, -414, -471, -514?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 371?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-18)\/3)\/(322\/23)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 13*l**2 - 501*l + 942. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 5383.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 33. Suppose -4*p = -4*t - 2*p - 6, i*t = 4*p - 18. Let y be (-8)\/2*t - -4. Solve s + 3 = -y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764370 divided by -152874?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(70) - -2*sqrt(70)) + sqrt(70))*6 - sqrt(70))*5)\/(sqrt(30)\/(sqrt(108)*-2)) + 1)**2.\nAnswer: -2760*sqrt(7) + 13330801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646323844 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/28 - (1 + 3244\/(-14)). Let z be 11\/(6\/(-216)*-4). What is the greatest common factor of i and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 261*f**3 - 21*f**2 + 21*f - 12. Let w(l) = 26*l**3 - 2*l**2 + 2*l - 1. Calculate 2*s(o) - 21*w(o).\nAnswer: -24*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-220)\/(-66)*(-12)\/(-10). Suppose -v - 38 = -3*d + f*v, 25 = 5*v. What is the greatest common divisor of 231 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9109.841 decades to centuries.\nAnswer: 910.9841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 471\/(-7) - 4\/(-14). Let i be l + ((-9)\/3 - -4). Calculate the common denominator of -101\/4 and ((-98)\/4)\/(i\/12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186897.445 rounded to the nearest one hundred?\nAnswer: -186900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667 - 801 = 67*y - 3*k, y + 8*k - 12*k = -14 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - 4 - (-46831 + 22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 2*v**2 - 3 - 4*v + 5*v**2. Let y(s) = 10*s**2 - 7*s - 5. Let r(j) = -5*f(j) + 3*y(j). Let k = -226 + 225. Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d + 7. Let w be a(-3). Suppose g - w = -8. Suppose 0 = -3*j + g + 187. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117.937 + 118. Let t = 0.337 + k. What is the nearest to 1 in -39, 5, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(-574))\/((-3)\/105).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39 - -1180.9116816\nAnswer: 1219.9116816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:06 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 652536 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 343 + 53. Suppose -a = 3*z - 4*o, -31 = 4*z + o + 59. Let j = 29 + z. Is j >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/40*-40 + 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 30*b**2 - 903*b + 1671. Determine w(24).\nAnswer: -2721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 10275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 804 by -314088.\nAnswer: -67\/26174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30 and 79\/414.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(8 + 0). Suppose 0 = 3*h - 7*h - 5*q + 19, 0 = 4*q + y. Let p be 4\/24 + (-25)\/h. Which is the third biggest value? (a) p (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117902953 and 4564?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, o: 2}. What is prob of sequence hhoh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, -1\/4, -25, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -343, -1395, -3147, -5599, -8751, -12603?\n\"Answer: -350*n**2 - 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3)\/(26\/(-39)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-637)\/(-14))\/(2191\/(-626))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087267?\nAnswer: 181, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/112495?\nAnswer: -1\/112495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 56*g**2 - 53*g + 31. Calculate c(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 + -3. Let j = -0.7 + 3.7. Sort j, -3, w.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1008573989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(133) - (sqrt(133) + sqrt(133)*-2)) - sqrt(133)) + 6*(sqrt(133) + (sqrt(133)*-2 - sqrt(133))))\/(1*(sqrt(98)\/sqrt(2))\/sqrt(7)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g**3 + 2*g + (-4*g - g - 2*g)*(g**2 - g + g) + (2*g - 5*g + g)*(13*g**2 - 75 + 75) - 6*g**3 + 5 - 5.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 435371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 12 = -3*r. Solve 0 = v + 4*o + 21, 2*v - 20 = 7*v + r*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20579799 and 1036.45.\nAnswer: 20580835.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(297)\/(4*sqrt(9) + sqrt(9)))\/(sqrt(432) + 2*sqrt(432) + sqrt(3)))**2.\nAnswer: 176\/34225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13468, 1\/5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1981 - 508. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 16) to base 2\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-3 - (-5 - -2). Let t be q*(4\/12 + (3 - 4)). Let f(m) = m**t + 725 - 2*m - 723 + 6*m - 2*m**2. Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + (-3)\/(-3). Let m be (-2)\/4 + f\/2. Is 1 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = 59*a - 28*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5034718?\nAnswer: 2, 13, 41, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 - 22*m**2 - 61*m + 894. Determine x(10).\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11\/2)\/(l**(1\/10)*l))\/(((l*l*l*l*l\/(l\/((l*l\/(l*l\/(l*l**7))*l)\/l))*l*l)\/l)\/(l**(2\/9)\/l)) assuming l is positive.\nAnswer: l**(-917\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-48)\/8)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216961, 216955, 216947, 216937, 216925?\nAnswer: 216911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - 12 - (-1 - -1). Let o be z\/(-2) + 604\/8. Suppose r = 4*v - r - o, 2*v + 2*r = 44. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44055 divided by -9?\nAnswer: 4895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 0*x**3 + 7 + 0*x + x**2 - x. Suppose 3*n + 2*n = 0. What is the units digit of b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 18885490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002996686909 to six dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 2044\/(-203)) + (-7 - (-2 + 1)). Let s = -3\/2 - -21\/10. What is the closest to 0.2 in 0.3, s, y, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(98)*1.\nAnswer: -42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4972 and 9\/904.\nAnswer: 9944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 + 20*f + 60. Let t = -51 + 52. Let m(c) = c**2 - 1. Let l(w) = t*u(w) + 10*m(w). Factor l(j).\nAnswer: 2*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 5*g**3 + 3 + 0*g**3 + 5*g**3 + 2*g**3.\nAnswer: -2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxux when four letters picked without replacement from {u: 2, x: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i - 4. Let f be g(-7). Let q = -6 - f. Suppose q*a - 10*a = 150. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -157*h**3\/3 - 101*h**2\/2 - 2*h - 579. Differentiate f(o) with respect to o.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648266?\nAnswer: 2, 29, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9144, -9159, -9166, -9159, -9132?\n\"Answer: o**3 - 2*o**2 - 16*o - 9127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*n**2 - 110*n**2 + 239*n**2.\nAnswer: -453*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-396)\/(-45) + -12)\/((-1)\/5) and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*i - 7511 = 9441 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 0.1, -0.245?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-21) - 118\/14. Let g be ((-4)\/s*0)\/2. Let t(a) = 2*a**2 - 397*a + 2310. Let m be t(6). Solve -x - o + m*o - 3 = g, o = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*v + 18*v - v**2 + 9 - 50*v - 9 as s*v**2 + u + k*v and give k.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 5*h - 2. Let a(b) = 15*b - 10 + 17*b + 10*b**2 - 6*b. Calculate 2*a(l) - 11*y(l).\nAnswer: -2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.144 + 152.856. Let v = n - 152.6. Put v, -23\/5, -1 in decreasing order.\nAnswer: v, -1, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 1704*i**2 = 0. What is i?\nAnswer: 0, 1704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15698131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 68 = -4*x + 5*d, -x = 2*d - 28. Let v be (-12)\/15 - (-122516)\/x. Let q be (v*64)\/(4\/(-10)). Round q to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + w + 1. Let j be (2\/3)\/((-4)\/(-6)). Let u(q) = -q. Determine j*g(d) + u(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:23 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1250 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80520 divided by 440.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f**2)*(4*f + 3*f**2 - 4*f) + 6*f**4 - 3*f**4 - 4*f**4.\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245.4 millennia to years.\nAnswer: 245400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2836, 11409, 25718, 45763, 71544?\n\"Answer: 2868*x**2 - 31*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-5)\/((-975)\/52)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 76*f**2 + 74*f**2 - f**2 + (3*f + 3*f - 5*f)*(1 - 1 + f) + f**2 + 1 - 1.\nAnswer: 151*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/5*(-35)\/(-665).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 5. Let z be s(-5). Suppose -2*u - 265 = -5*h, -3*u - u - 20 = z. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 264\/(-15)) + (-16)\/(-40). Suppose -28 - 57 = -y*c. Solve c = d + 3*o, -5*d + 2*o - 9 = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b*s*y**2 + 124*b*s*y + 2*b*s + b*y**2 + 154*s*y**2 + 35*s*y - y - 1 wrt y?\nAnswer: 22*b*s + 2*b + 308*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17148953 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = x - 3*s, 5*s + 12 = x - 19. Let o = 69 - x. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 + 16*x + 26. Is 30 a factor of o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2360 + -3?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693414 = 11*b - 8*b. Let a = -39138 - b. Suppose 3*k = -3*k - a. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.55. Let q = -0.05 - f. Let i(r) = r**2 + 9*r + 1. Let h be i(-9). Which is the second biggest value? (a) h (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 8*k - 14. Let u be i(5). Let w be u\/((120\/9)\/5). Is w equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.1. Let g = -10 - -10.9. Let z = -4.1 - g. Which is the closest to h? (a) z (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -16, -26, -38, -52, -68, -86?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*w + w. Let p = w - -1. Put p, 0, -5 in increasing order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 144.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 274, 478, 814, 1276, 1858?\n\"Answer: -p**3 + 72*p**2 - 5*p + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(-49)\/(v\/(v*v**(1\/4)))**9 assuming v is positive.\nAnswer: v**(-579\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*w + 576 + 4319 = -6120 + 573 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 2*q + 1. Let x(z) = -6*z**2 - 3*z - 1. Let i(u) = u**3 - 8*u**2 + 6*u + 4. Let v be i(7). What is v*x(j) - 4*d(j)?\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = u + 8, 16 = -2*t + 3*u + 51 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (-14 - (-15 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35913*g + 116001*g - 1221866*g - 237864*g.\nAnswer: -1307816*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 776690*y + 37283424. What is s(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.571 + 0.481. Let b = 108.1 + f. Let y = 12 - b. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 2*i - 5*i**2 + 0*i**6 + 0*i**3 + 1\/336*i**8 + 0*i**4 - 49\/60*i**5 + 0 - 1\/30*i**7. Find the third derivative of j(k) wrt k.\nAnswer: 60*k**2 - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 49*d**2 + 254*d - 176. Calculate x(-43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.0947 seconds in hours?\nAnswer: 0.19697075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 at most 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518811135 divided by 172937045.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 63 + 878 + 6*u - 3*u to the form a*u + f and give f.\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-26979461.\nAnswer: 8093838.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -35. Let f be 185\/x - 2\/6. Suppose 18 = 5*u - f. Calculate the smallest common multiple of u and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 67534805*j**2 = 0. Calculate j.\nAnswer: 0, 13506961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-679)\/(-582) - (2 + 0)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/11739087 and 79\/90?\nAnswer: 117390870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 1, h: 1, o: 1, j: 5, q: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10498 + 10771 = 21*y. Suppose 0 = 3*w - 6 - 33. What is the highest common divisor of w and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 31*q + 29. Calculate i(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8351258 centimeters to kilometers.\nAnswer: 0.000008351258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 39. What is the second derivative of -u*b**4 + 100*b - 35*b - 37*b wrt b?\nAnswer: -192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - -2. Let u = 4.87 + 0.13. Which is the closest to 0? (a) 3\/4 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2727*a + 27 = -2730*a - 2*u, 5*a + 4*u + 49 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 31.\nAnswer: -28\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175 and 4.1?\nAnswer: 717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i + 12 = 0. Let l be 46 - (0 + i\/3). Let y = l - 28. Calculate the remainder when 35 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12685379 to the nearest integer?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -5341.\nAnswer: -6\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696801?\nAnswer: 1696801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -562, -840, -1138, -1456, -1794?\nAnswer: -2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.165*-113\nAnswer: 18.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 15*k**5 + 46250*k**4 + 46783255*k**3 + 15583218500*k**2 + 5189209740*k = 0.\nAnswer: -1287, -898, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -39 + 189. Let t = -15 - g. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674895463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by ((-12)\/10)\/(2\/(-40)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*t**3 + 98*t**2 - 303*t**3 - 98*t**2 + 5*t**3 + 0*t**3 - 4*t**3 - t**3 + 0*t**2 + 0*t**2 + (t - 2 + 2)*(-t**2 - 3*t**2 + 0*t**2).\nAnswer: -305*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 221*g + 160 - 13128*g**2 + 11*g + 13196*g**2.\nAnswer: -4*(g - 20)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -11, -1459, 1, -2, 5 in increasing order.\nAnswer: -1459, -11, -3, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 - 41 = 238*d + 638 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 + 2*h**3 - 2*h**3 + 4*h**3 - h**3 + (-4*h - h + 3*h)*(3*h - 2*h**2 - 3*h) + 4*h**2 + h**3 - 4*h**2 - h**3 + 0*h**2 + 0*h**2 - h + h + h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let s = -8.2 + 8. Put w, s, -0.3 in increasing order.\nAnswer: w, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20365 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(722\/285)*(-9)\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12862 - -12862. Which is the second smallest value? (a) -2\/7 (b) -4 (c) x (d) -78\/17 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3082632, -1, 1, 0.15 in increasing order.\nAnswer: -3082632, -1, 0.15, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 - 2*s - 3. Let x be a(3). Suppose 657*t - 648*t = 2628. Suppose x = -10*p + t. What is the highest common factor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + 112. Suppose 3*p = -2*p - b + v, -b = -3*p + 98. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 30) + 59 - 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyof when four letters picked without replacement from {y: 2, o: 1, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234288153?\nAnswer: 3, 11, 788849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -q + 1, 0 = 4*y - 0*q + q - 16. Is -1*5\/(y\/(-1361))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3643641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(((-126)\/(-42))\/9)\/(1\/(-90))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.04, -30, -0.5, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.167 - -0.567. What is the closest to -43 in -1\/5, r, -0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2050\/47 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**3 - 13 + 31 + 35*x**3.\nAnswer: 13*x**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 15*f**2 + 19*f - 2. What are the prime factors of l(16)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9 - -0.1. Let x = 6 + -6. Let j be (-3 + 2 + x)\/5. Which is the second smallest value? (a) j (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 8623*x - 735061. What is c(87)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 4\/6. Let h = -2.289 - 0.011. Let i = h + 7.3. Which is the closest to 0.1? (a) i (b) 5\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1425912 and 1782390.\nAnswer: 7129560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 - 87 - 121*l + 179 as s + q*l and give q.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 = -5*p, 4*s = -p - 0*p - 17. Does 18 divide (-136)\/(-6) - p\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77570 by 10.\nAnswer: -7757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2 + 23346*t - 3666312 = 0.\nAnswer: -23502, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - 40\/(-105). Let h = -40 - 39. Let p = -77 - h. Which is the third biggest value? (a) 0.03 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 - 5*w**2 - 2*w**2 - 29*w + 31*w - 2*w**2 + 4. What is p(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + q**2 - q + 1. Suppose -2*u = 3*u + 30. Let g(r) = -7*r**3 + 6*r**2 - 5*r - 9. Let t(w) = u*a(w) - g(w). Let s be t(11). Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = 29. Suppose 4*y + v = 0, -5*c + 2*y - 33 = -7. Let s be (-34 + -2)*(-800000)\/c. What is s rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 2*c)*(-1 + 2*c**2 + 1) - 2*c**3 + 6*c**3 - 3*c**3 + 0*c**3 + 2*c**3 + c**3 + 10*c - 10*c + 4*c**3 + 9*c**3 - c**3 + 0*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-38)*1*2. Suppose 0*g - 9 = -f*g. Let x = 21 + -16. Put x, -2, g in ascending order.\nAnswer: -2, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2\/7 - 68895*x\/7 + 34449\/7.\nAnswer: -3*(x + 11483)*(2*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 25872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5*(15\/45 + 8). Solve 0 = 16*r - x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + (sqrt(11) - sqrt(99)) - sqrt(132)\/sqrt(192))**2.\nAnswer: 5*sqrt(11) + 339\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 147*l + 29 - 96 + 30 to s*l + h and give s.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p**2 - 62*p + 109. What is h(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-52)*(42\/(-5))\/3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*m**3 + 71*m - 43*m - 29*m to f + b*m**3 + v*m + u*m**2 and give b.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 3 in decreasing order.\nAnswer: 4, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 344*r**2 + 11*r + 9. Calculate the remainder when c(-1) is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.22 - -0.82. Which is the second smallest value? (a) -4 (b) i (c) -47 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/10 + ((-7416)\/10)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007676 to seven decimal places.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71610 divided by -4?\nAnswer: 35805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + k = -2*g + 13, -g = 4*k - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 0. Let n(m) = 15*m**2 - 1. Let w be n(-1). Let c = -13 + w. Solve k + c - 6 = u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 + (-912)\/(-27). Is t >= 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.4 (b) 38\/25 (c) 5 (d) 0.5 (e) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*c**4 + 10866*c**3 + 22364*c**2 - 51 wrt c?\nAnswer: 5160*c + 65196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40427 is divided by 1922.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134*-1275.\nAnswer: 170850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 8*h + 4. Let t be v(-2). Suppose -3*j + 12 = 3*z, 2*z = j + 2*j - t. Solve z = -4*a + a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 3. Let y be v(-3). Let w be (-3)\/1*22\/y. Suppose 3*z - 4 = w. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-18))\/(2\/12). Suppose 3*o = -5*t - 6, 4*o = -t - 2 - 6. Suppose t = j + 3*x + 11, 0 = -12*j + 7*j - 4*x - 11. Which is bigger: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 9. Suppose 4*u + 5*u = 18. Suppose 3*k - 4*q = 3, -2*q = 5*k + u*q - 37. What are the prime factors of g(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720225\/325 + ((-9)\/(-39))\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 510?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 5. Suppose -c - 10 = -6. Determine i(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1997\/8 - -6209\/24. Find the common denominator of k and ((-9)\/12)\/(36\/(-294)) + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + (31 - (5 + 21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -31*a - 72. Calculate the remainder when 144 is divided by f(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.87 - -38.87. Put -48\/7, -0.3, 0.2, 0.1, a in decreasing order.\nAnswer: a, 0.2, 0.1, -0.3, -48\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92395 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*o - 580 = -146*o. Find the common denominator of -127\/78 and (-36)\/9 - o\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -9 in decreasing order.\nAnswer: 5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a factor of 42643745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67423, -66183, -64945, -63709, -62475, -61243?\nAnswer: -60013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) 5 (d) -3\/5 (e) 15\/83 (f) 640 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*m - 3258 - 21562 = 0 for m.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*s + 16 = 0, 10 + 2 = -4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, q: 1, n: 2, e: 10, k: 2}. What is prob of picking 1 n and 1 k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**3 + y. Let c(j) be the first derivative of -11*j**4\/2 + 3*j**2\/2 - 1. Let p(q) = 5*b(q) - 3*c(q). What is the second derivative of p(l) wrt l?\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62982 divided by -2224.\nAnswer: 31491\/1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = b - 5, 3*o + 8 = 2*b - 4. Let i(w) = w**2 - 4*w - 7. Let f be i(6). Let v be (o - (f + -2))*-1. Put -1, -2, v in increasing order.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t + 4. Let n(m) = m**2 - m - 1. Let v(k) = 2*n(k) + u(k). Factor v(o).\nAnswer: (o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 49, 114, 205, 322, 465?\n\"Answer: 13*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 275\/4. Suppose 0 = w - 4*w - 99. Let h be (1 + 2)*(-44)\/w. What is the second biggest value in -0.02, m, h?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2923*f + 11733. Determine v(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87100 - -199497. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1994, -1990, -1986, -1982, -1978?\n\"Answer: 4*k - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5333991725 to 4 dps.\nAnswer: 1.5334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w - 8. What is the tens digit of f(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 530 - 533. Let l(h) = -14*h - 12*h - 2 + 7. What is the units digit of l(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -807 or -49\/2?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -50. Let m(h) = 4*h + 12. Let f be m(0). What is the remainder when (f\/2)\/2 + 26 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*h**4 - 111*h**3 + 156*h**2 - 60*h.\nAnswer: 3*h*(h - 2)**2*(8*h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**2\/2 - 10*s - 516. Let z(p) = 3*p + 9. What is -3*y(i) - 4*z(i)?\nAnswer: -3*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1981833 rounded to four decimal places?\nAnswer: -0.1982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2. Let q(t) = 309508*t**2. Give q(g(k)).\nAnswer: 37450468*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpqpppbpi. What is prob of picking 1 v, 1 b, and 1 p?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.2, -7, 1.5, 1813 in increasing order.\nAnswer: -7, -2\/3, 0.2, 1.5, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -195 (b) -4 (c) -4\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12197 divided by 10?\nAnswer: -12197\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3 - (1 - 1)) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109030647\/2093 + -52093. Let m = a + 203025\/4186. Calculate the common denominator of m and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 12*a + 34. Let o be q(-8). Suppose 20 = 5*f, -o*w + f - 2*f = -390. List the prime factors of w.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 6, i: 1, e: 3}. Give prob of picking 3 p and 1 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/19)\/o)\/(((o\/(o**(1\/5)\/o))\/o)\/o))\/((o**(1\/8)*o)\/o**(-6)) assuming o is positive.\nAnswer: o**(-6103\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153 times 0.0083?\nAnswer: 0.0012699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + h - 43*h**3 + 41*h**3 to the form k*h + d*h**2 + x + i*h**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22011 - 22019. Let h(i) = -20*i - 89. Determine h(x).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 29*a**5\/60 + a**4\/8 + a**3 + 2*a**2 + 38*a. Suppose 3*h = 5*j + 25, -2*j - 3*j + 10 = 4*h. Is d(j) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*o + 16. Let c = o - 5. Calculate the common denominator of (-2)\/c - (-622)\/80 and -151\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96, 84, 64, 36, 0?\n\"Answer: -4*w**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:36 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15048 = 630*g - 234*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262315578 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r + 61 + 56*r - 61.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -7. Let t = c - -7. Solve 18 = 4*s + d, 4*s - t*d - 3 = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:30 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 - x - 3. Let g be d(-6). Let n(t) = -3*t**2 - t**2 + g*t**2. Let c(s) = 2*s**2 - 2*s**2 - 2*s**2. Give c(n(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/8*(-20)\/45*45\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -492, 0, -7346 in decreasing order.\nAnswer: 0, -492, -7346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 17 - 4)*(219*r**2 - 17*r - 256*r**2 + 14*r).\nAnswer: -851*r**2 - 69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1292)\/(-68) + -21)\/((-2)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215205751.\nAnswer: 31, 6942121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 111, 1\/6, 0.14 in increasing order.\nAnswer: 0.14, 1\/6, 1\/2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1504823 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 19, u: 1}. Give prob of sequence kkkk.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 3*p**2\/2 + 22. Determine k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7902 + -0.2098. Put 0, m, 9\/5 in increasing order.\nAnswer: m, 0, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 11*h\/4 - 21\/2 = 0. What is h?\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from gwegekkgeewewke.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-5)*(-660)\/264.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22374, 44722, 67070, 89418?\n\"Answer: 22348*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3544, 3562, 3582, 3604?\n\"Answer: x**2 + 15*x + 3528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415802\/58 - 10*(-2)\/4?\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfff when four letters picked without replacement from {r: 2, y: 5, f: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*v = -12*v. Solve 5*q + 7*g - 12*g = 15, -q - 2*g - 6 = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301\/3211 + 5\/338. Suppose -c = 3*w + 15, -3*w = -3*c + w + 20. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 6*m + 2, -62504*y + 62507*y + 8 = 4*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -317917 + 0?\nAnswer: -317917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4000 and 16480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 15) to base 3\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 389404578 and 14655011.\nAnswer: 2725832046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -3. Let s = 30 + -29.7. What is the third biggest value in s, 1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ad1e8 + -4e6?\nAnswer: -ad6ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86381274, -86381279, -86381282, -86381283?\nAnswer: -86381282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204*-0.3.\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 2 + 2 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/1)\/(0 - (-9 - -8)). Let d be (-12)\/((-15 + n)\/8). Solve -16*g + 8 = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342964199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.772 + 4.09074. Let x = k - 0.3494. Let m = x - -0.03. Round m to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 12, -1\/2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - b + 0)*(332081*b + 940*b**2 - 332081*b) in the form n*b**2 + g*b**3 + c + x*b and give g.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2162, 8690, 19572, 34808, 54398?\nAnswer: 78342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17664\/13 - -14)*13.\nAnswer: 2, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wttcvtcvcvctccttcc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-2 + -1) - (2 - 7)) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 910560457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -22*l - 5. Calculate g(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 17410 + 5464. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -31, 49.\nAnswer: -31, 4, 17, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + (2 + 4 - (-141 - -168))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 32*i - 5. Let k be p(6). Solve k*g - j = 3*g + 13, 29 = 2*g - 5*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {h: 1, u: 1, q: 12}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(18\/63 + (-41)\/70). Suppose -6*o = -u*o + 1416. What are the prime factors of o?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 3*q**2 - 4*q - 2. Let y be (1\/2)\/(3\/(-12)). Let c be i(y). What is the highest common divisor of c and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -0.3, -0.4, 0.01, 0.03?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 417, 625, 833, 1041, 1249?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -71.8. Let k = 176126574.1999899 + -176126558. Let z = t - k. What is z rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1535367 (base 8) to base 15\nAnswer: 8aa54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from eellllllelll?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 296530584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-1))\/((-10)\/10). Let n(a) = -2*a**2 + 4 + q*a**2 - 3 + 4*a + 0*a. Suppose -3*m = 4*b + 11, 0 = 5*b - b + 2*m + 14. Determine n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 86. Let i(t) = t. Determine -2*i(k) - o(k).\nAnswer: k - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17557749 divided by -99.\nAnswer: 177351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 438071\nAnswer: -21903.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3073 + -6?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 22*i**2 + 10*i - 3. Let u(y) = 95*y**2 + 38*y - 13. Give -2*u(d) + 9*z(d).\nAnswer: 8*d**2 + 14*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 711.6? (a) 3 (b) -2\/807 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*h + j, -8 = -2*h - 5*j - 38. Let a = 115 - h. What are the prime factors of a?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 + 6472*z - 10939200 = 0.\nAnswer: -2650, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1189\/287 + (-1)\/7. Solve 4 = 2*q, -w*q = -x - 3*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + (-96)\/408900 + 2. Let r = l + -3483725663\/477050. Let m = -7295 - r. What is the common denominator of m and -75\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (24\/(-108) - (-4894)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**4 + 60183*k**3 - 17863059*k**2 - 8976663*k + 8946573 = 0. What is k?\nAnswer: -10319, -1, 1\/2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202200688?\nAnswer: 2, 271, 46633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34587 is divided by 17065?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - 0) + (-1 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 113. Is (-6 - -3)\/((-28080)\/9357 + y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1\/4, 2.4, -1992, 0, -0.5 in increasing order.\nAnswer: -1992, -8, -0.5, 0, 1\/4, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14038, -56206, -126488, -224884, -351394?\nAnswer: -506018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*f**3 - 105*f**3 + 1 + 68*f**3 - f**2 to a + i*f + w*f**3 + m*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - (sqrt(400) + (4*(-5*sqrt(400) + sqrt(400)) - sqrt(400) - sqrt(400))))\/sqrt(10))\/((sqrt(160)*-5)\/sqrt(5)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o + 13. Let s be (-13)\/2 + -1 - 6\/4. Let j be u(s). Calculate the greatest common factor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12)\/k**(1\/9))\/(k**(-12\/11)*k*k**(-22)) assuming k is positive.\nAnswer: k**(988\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5 - 125*d**4 - 290*d**3 + 530*d**2 + 285*d - 405 = 0.\nAnswer: -3, -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 10\/3*a**2 - 8*a - 244 + 4\/9*a**3. Factor c(p).\nAnswer: 4*(p - 1)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = 3*i + 648. Let k(g) = g**2 - g. Let y be k(2). Suppose 2*d + i = u, 5*u + y*d = 5*d + 50. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1128952 - 2257883\/2. Find u, given that 9 + u**2 - g*u + 1\/2*u**3 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(170)*-3 - sqrt(170)) + sqrt(170)))\/(sqrt(250)*-5).\nAnswer: -9*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 200 = -30. What is the second derivative of -170 - 10*c + 2*c + m - 12*c**2 wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 85, -1, -11.\nAnswer: -11, -5, -1, 7, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 25. Suppose -5*p - 510 = -i*h, 0 = -h + 2*h - 4*p - 261. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 174. Let h(g) = -84*g + 174*g - r*g + 29. What is the tens digit of h(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 126356330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58573 divided by 2.\nAnswer: -58573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 62, 117, 194, 293, 414, 557?\n\"Answer: 11*n**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 1. Let i be w(7). Let n = 60 + i. Let v = 44 - n. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-36))\/((-1)\/(-12)*-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from srvvvvjsnjs?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**16 assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1433193 + 2126060. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 3*z + 69 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 - 489. Suppose 8*s = 3*s + 20. Suppose -3*t + 2 = -7. Sort t, s, l in increasing order.\nAnswer: l, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -13 in ascending order.\nAnswer: -13, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4228 + 0.0228. Sort -3\/4, 1.9, z, 1 in increasing order.\nAnswer: -3\/4, z, 1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:52 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18536535.\nAnswer: 3, 5, 411923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1252714 = 4*l, 0 = 4*k - 2*l + 1976105 - 6987015. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*((1*4*sqrt(1008))**2 - (sqrt(1008) - (-2*(0 + sqrt(1008) - sqrt(1008))**2 - sqrt(1008)))))*6.\nAnswer: -720*sqrt(7) + 483846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-34))*i)\/((i\/i**4*i)\/i) assuming i is positive.\nAnswer: i**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:05 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.04 (c) -0.1 (d) 187915 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let p(r) = -2 + b + 3 + 5*r. Is 6 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*t - n, 4*n + 44 + 37 = -5*t. Let f be t\/(-6) + -2 + 286\/(-2724). Let k = 8965\/1816 - f. What is the common denominator of -9\/28 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1034 and -49\/188.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-3)*((-7881)\/(-2812))\/(-71).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -8*v**3\/3 - 13*v**2\/2 - 4*v. Let r be n(-4). Suppose r*o = 48*o + 33. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*l - 3, 24*t = 5*t + 31821*l - 31823*l + 63 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96890576 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.9 + -33. What is the fourth smallest value in y, -3, -4, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -2.01. Let o = -19\/5914 - -694889\/458335. Let g = -2\/155 + o. Which is the second smallest value? (a) g (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.321 times 1.1?\nAnswer: -0.3531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*p + 10 - 4, -5*p = l - 15. Let f be l + 7400\/(-6 + 4). Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 144 - 82*k - 72 - 69 - 614*k - 594*k as o*k + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -350*(4 - 88\/20). Suppose -138 = -5*v - x. Factor -11*p**3 - 14*p**2 - 4*p + v - 5\/2*p**4.\nAnswer: -p*(p + 2)**2*(5*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3840429, -3840431, -3840433, -3840435, -3840437, -3840439?\n\"Answer: -2*r - 3840427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -30 + 8 - 7*z + 26. Let u(d) = 5*d. Give u(i(q)).\nAnswer: -35*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fufy when four letters picked without replacement from {u: 2, f: 2, y: 1, p: 4}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/19)\/(p*p**(1\/16)))\/(p**(-3\/17)\/(p\/p**(-20))) assuming p is positive.\nAnswer: p**(103405\/5168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k**3 + 4*k**2 - 2 + 3*k**3 - 3*k - 2*k**3. Let y(i) = -i + 1. Let p be (15\/6)\/((-2)\/(-4)). Let n be y(p). Give l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -132961621 and 4?\nAnswer: -531846484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 - 12*h - 5. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 17*r - 12. Give l(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let n = t - 3. Let k be n\/(-4) + 10\/8. What is the third smallest value in 2, k, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12, -2*k = 4*q + 362398 - 1206072. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19296*v**4 - 59668376*v**3 + 59668376*v**3)*(v - v - v).\nAnswer: 19296*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*g - g - 3454, -2*j - 6863 = -3*g. Let m = 41315\/12 + j. What is the common denominator of m and 1\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y - 9*y + 0*y**2 + 10*y - y**3 + 0*y**2 + 0*y**3.\nAnswer: -y**3 + 52*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 832, 2004, 3186, 4384, 5604, 6852, 8134, 9456?\n\"Answer: z**3 - z**2 + 1168*z - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 20. Suppose 3*t = 2*v - 9, -2*v = -4*v + 2*t + 6. Let h be j(v). Suppose -h = -g - 4*g. Solve m - 15 = -g*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249839.46 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -206.03*-0.21\nAnswer: 43.2663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 20*y + 2. Let i(h) = -2*h**2 - 59*h + 5. Let n(d) = -3*i(d) + 8*z(d). Calculate the remainder when 86 is divided by n(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*h - h + 3*h)*(3 + 2*h - 3) - 2 - h**2 + 2)*((-3 + 2 - 3)*(10*h + 27*h - 4*h) + 2*h - 3 + 3) as d*h**3 + r*h + y + t*h**2 and give d.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 21\/4. Let o = 0.0465 + -14.0465. Let j = 14.02 + o. Which is the second smallest value? (a) 5 (b) -4 (c) j (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2 - 213*f - 2. Let k(m) be the second derivative of m**4\/12 + 260*m + 1. What is p(k(c))?\nAnswer: -9*c**4 - 213*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20730, -20677, -20626, -20577?\nAnswer: -20530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499070 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -99. Let j = -101 + 103. Which is the third biggest value? (a) q (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7455196*k*n**3*w - 4*k*n**2*w + 4*k*n**2 - 3*k*n*w - 7*w - 26 wrt n?\nAnswer: 44731176*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3981 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 + 4*d + 1. Suppose -2*b - 3 = 1, -3*o - 2*b = -8. Suppose j = -o*j - 20. What is the units digit of n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = 0. Suppose -3*h + a + 6 = 0. Let n = -1 + h. Is n > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42816 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62324?\nAnswer: 2, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1950\/70 - 28)*(-14)\/8. What is the fourth smallest value in t, 11, 1\/2, -1\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - k - k - 13*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 14 = 8*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/11)\/c)\/c**(-2\/13))**(-8))**(-23) assuming c is positive.\nAnswer: c**(-27048\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107564 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 238 in 0.4, 1\/4, 16.092?\nAnswer: 16.092","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-108)*((-1)\/1)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 4, 50\/13, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -48. Calculate the greatest common divisor of 27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 3\/109 (c) 0.4 (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 3*q**3\/2 + q**2\/2 - 3*q\/2 - 1.\nAnswer: (q - 1)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*4*sqrt(110) + sqrt(110))\/((sqrt(110) + sqrt(110)*1)\/sqrt(11) + sqrt(10)) + 3.\nAnswer: -1 + 25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 19*m - 34. What is q(18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 - 9*q**3 - 21*q - 22 - 17*q**3 - 12*q**3 + 37*q**3. What is the remainder when u(7) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, p: 1, d: 7, r: 3, o: 1}. What is prob of picking 1 d, 2 p, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 20*q**4 + 34*q**2 + 6. Let z(t) = 11 + 9 + 7 - 28. Let v(n) = -y(n) - 6*z(n). What is the third derivative of v(p) wrt p?\nAnswer: -480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxc when three letters picked without replacement from {h: 2, x: 2, c: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*-4*sqrt(77)\/(-2*sqrt(7)).\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-108)*11*2\/25. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533 + 1437 = -197*q - 197 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y - 3*y + 0*y**2 + (100*y - 70*y - 181*y)*(283 - 283 - 40*y).\nAnswer: 6039*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*o + 1127*o - 570*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 36*g + 1426 = -43*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**1\/d)*d)**(-9)*(d**(1\/3)*d)\/d**(2\/3))**(-16))**(-2\/25) assuming d is positive.\nAnswer: d**(-2528\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58825, -59415, -61017, -64135, -69273, -76935, -87625, -101847?\nAnswer: -120105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.2 and -38180.61?\nAnswer: 427622.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 98*j**2. Let l(p) = 424*p**2 + 2. What is l(g(c))?\nAnswer: 4072096*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or -0.2?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -187*t - 186. Determine a(-2).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 2 (c) 2\/7 (d) 0 (e) 18 (f) -2 (g) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/12)\/(-2 - 44\/(-16)). Suppose l + 11 = n. Solve 3 + n = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -19017, -0.82, 40?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3458418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o - 9. Let c be p(6). Let v = -2 - 0. Let x be (v\/2)\/(1\/c). Solve 2*z = -4*g, -4*g + 1 = 3*z + x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21047945 to the nearest integer?\nAnswer: 4588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 + 34*x - 163. Let o be z(6). Solve 0 = -8*s - o + 65 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {f: 1, n: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13289?\nAnswer: 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**3 + 2*g**2 + (1 + 3 - 2)*(0*g - 4*g**3 + 0*g) + g**3 + g**3 - 4*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 21352*w**4 + 2*w**3 - 2154658*w**2 + 2?\nAnswer: 120*w**2 - 512448*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5431888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338391 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (2*sqrt(187) + sqrt(187))\/sqrt(11)).\nAnswer: 6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - g + 63 = 0. Let w be g\/12*4\/(-3)*-3. What is the biggest value in -0.5, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 135952a + -76?\nAnswer: 1359494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 38, 2 in descending order.\nAnswer: 38, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3156406 centimeters?\nAnswer: 0.003156406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.0286, 3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 354491.3 milligrams?\nAnswer: 0.0003544913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3213\/(-14))\/9)\/((-69)\/1472*8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 - 55*t + 971. What is z(16)?\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 43. Let s(o) = -o**3 + o**2 + 3*o - 5. Let w be s(f). Let a = 18 - w. What is the highest common divisor of 80 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = j + 16, 4 = 5*y + 7*j - 3*j. Solve 2*m + 2 = -4*l, -12 = -0*m + 4*m + y*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -5. Suppose -n - 1 = -3*a. Suppose a*s - 6 = -0*s. Solve -3*z + 8 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, n: 1, i: 1, j: 1}. Give prob of sequence ni.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41492 divided by -44.\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1550383 (base 9) to base 4\nAnswer: -3101322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 + 0 = 0. Suppose -2*f = -5*f. Suppose 0 = -f*h + 3*h - u*r - 16, -2*h + r + 20 = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 14*v**3\/3 + v**2 - 2*v + 2. Let m be p(3). Let j = m + -912\/7. Which is greater: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 5298, 11913, 21164, 33045, 47550, 64673?\nAnswer: 84408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 - 485 + 9*u - 6*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 40. Let y be (1 - (-30)\/(-18))\/((-1)\/33). Let q = y - k. Solve a - 15 = -q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10516878 divided by -54.\nAnswer: -194757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n - 10*n + 6*n - 13*n in the form d + s*n and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780 is divided by 693.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-4) - 3 - 4. Suppose -5*c + 38 = h. Is (2 - c) + 165*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - g - 10)*((-1 - 1 - 5)*(-5*g + 3*g + 3*g) - 4*g + 2*g - 4*g + 0*g - g + 2*g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11411749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**7\/210 - 5*p**6\/2 + 101*p**5\/10 + 7*p**2 + 8. What is the third derivative of c(r) wrt r?\nAnswer: -24*r - 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1644?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17935, -71754, -161457, -287044, -448515, -645870?\n\"Answer: -17942*c**2 + 7*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2172*b. Let l(w) = -3*w**2. Determine p(l(r)).\nAnswer: -6516*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in 2, 0.3, 0.5, -130?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-25905)\/(-5652)*4*9\/60\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 69, 11, -1\/2, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 165.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 3402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (11 - -1 - (49 - 44) - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180) - sqrt(180))\/sqrt(12))\/(1*sqrt(27)) - (-2*((sqrt(180)*-2 - sqrt(180))\/sqrt(9) - (4 + sqrt(80)\/sqrt(4))))**2.\nAnswer: -1344 - 257*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6)\/(-2) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16545?\nAnswer: 3, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -2.921205?\nAnswer: 3.421205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340119?\nAnswer: 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**1*g*g**0\/(g\/g**(-5)))\/(g**(-4\/11)*g*g**8*g)**27 assuming g is positive.\nAnswer: g**(-2895\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -10690?\nAnswer: 10687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25172 - 21731. Calculate the remainder when t is divided by 150.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 5. Let j be p(2). Let w(q) = -q**3 - 5*q**2 - 2*q - 11. Let f be w(-5). Is j < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/75654 and 7\/10274?\nAnswer: 832194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*13\/(130\/320)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = 12. Let f be 2\/4*(-8)\/v. Let n = 1 - 2. Which is the closest to n? (a) f (b) 3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789582?\nAnswer: 2, 3, 631597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3640)\/(-1456)*(13\/3)\/((-15)\/36)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 7*d - 5 - 7*d to t*d + v and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 805812.\nAnswer: 1\/57558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - (18 - 16))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i + 618 = -236. Calculate the remainder when 570 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 102*j + 117*j.\nAnswer: 170*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2\/7 - 18*k\/7 - 81\/7 = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17892 and 65604?\nAnswer: 196812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 12*k - 7. Let u(p) = 3*p - 9. Let n be u(6). Suppose 0 = 6*c - n*c - 42. What is the tens digit of y(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 64?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 31786*f**2\/3 - 2038052*f\/3 - 3694600.\nAnswer: (f - 31850)*(f + 6)*(f + 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102010 rounded to the nearest ten thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:37 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2\/2 + 15*a + 3. Let i(z) = 7. Let v(n) = 5*i(n) - 3*m(n). What are the prime factors of v(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/2753487 and -53\/226314?\nAnswer: 16520922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/952 - (2 - 38\/14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 74.1*-0.2\nAnswer: -14.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*j + 21, 0 = 4*j - 2 - 2. Let o = m - -28. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g + 37. Give s(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 27*n - 167. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -1339 + 407. Suppose -3*s = -t - 103. Let h = 2 + 12. What is the greatest common factor of s and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, 381, 1932, 5325, 11262?\n\"Answer: 117*i**3 - 132*i**2 - 12*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 30 = -9*y. Let s(h) = -h**3 + 3*h**2 + 6*h - 5. Let x be s(4). Solve y + x = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o**2 - 3*o - 4. Let v(z) = 7*z**2 + z + 5. Let l(i) = -2*j(i) - 3*v(i). Give l(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680850419 and 3174?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*q - 780 = 296*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -151*q**3\/5 + 23864*q**2\/5 - 943339*q\/5 + 37446\/5.\nAnswer: -(q - 79)**2*(151*q - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 9*l + 9. Let s(n) = 2*n - 2. Let w(v) = -2*o(v) - 9*s(v). Let u(p) = 17*p - 22*p + 25*p. Give w(u(z)).\nAnswer: -800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - t + 35*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 7. Let v(j) = -2*j + 12. Let q be v(5). Let p be -13 + q + 1 + 2. Is 6 a factor of t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/8*f**2 - 3\/8*f = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -150, 3, 328, -5, 1 in increasing order.\nAnswer: -150, -14, -5, 1, 3, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - g - 1. Let s(h) = -h**2 + h + 1. Let z(o) = q(o) + s(o). Let i(w) = w. Determine z(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-1)\/8)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-319)\/(-44))\/((-2)\/96). Solve -h*k + 112*k = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 292 - 1291 + 24 as u*l + z and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000214264676 rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/30 - 7*m**5\/15 + 181*m**4\/6 + 374*m**3\/3 - 2*m**2 + 59*m + 1. Factor l(f).\nAnswer: -4*(f - 11)*(f + 1)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -546, -1138, -1908, -2946, -4342, -6186, -8568?\n\"Answer: -15*n**3 + n**2 - 490*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1929875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.4 - 12.3999663. Round y to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 4*i - 396 - 2*i + 194 + 203. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/397281 and -69\/1754.\nAnswer: 794562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 166012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 + 0.4. Suppose -x = 5*w - 8, -3*w + 6 = 3*x - 2*x. Suppose 0*i + i = -x. What is the nearest to 2 in 2\/13, i, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/((-3)\/(-32)*2). Let l = 141 - x. Let v = 32 - 8. What is the lowest common multiple of l and v?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 8 = 0. Let p(o) = 8*o**2. Let f be p(0). Let t(d) = h + 3*d**2 - 8 + f. Let g(q) = 18*q**2. Determine t(g(v)).\nAnswer: 972*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 499893.064 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76b907 (base 14) to base 7\nAnswer: -46142110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, -45, -0.4, 2\/9, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from nynqynnyyyyyynynyq?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3629, 14509, 32643, 58031, 90673, 130569?\nAnswer: 177719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 2*c**2 - c + 2. Let t be a(3). Let i(b) = -26*b - 3 + 47*b + t*b. Is 17 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 10*g - 30 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-165)\/7)\/(-11) - (7 + -1)\/42. Suppose 21\/2*t**g + 3 + 45\/2*t = 0. What is t?\nAnswer: -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1510*i**3 - 3*i**2 - 2*i + 976.\nAnswer: 9060*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 3:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 33*n + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332023 - 2230123?\nAnswer: -1232100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13392191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0693 + -5.0693. What is the second biggest value in 1\/4, 3\/49, m?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*f - 91 - 126, -f - 64 = -3*z. Let k = f - -65. Let q = 44 - 24. Calculate the greatest common divisor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 439200 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/21)*r**4*(r*r\/(r\/(r\/((((r*(r*r\/(r**(-1)\/r))\/r*r*r)\/r)\/r)\/r)))*r)**27 assuming r is positive.\nAnswer: r**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 4. Let b be 39\/(-12) + 3 + (-51)\/(-12). Let y(t) = 7*t + 5. Calculate b*y(d) - 5*h(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -63 + -47 + 232.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 - -154. Let p be ((-2)\/z)\/((-1)\/(-4)). Solve 2*j - p*x - 18 = 0, -2*x + 1 = 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 3166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52016 = -21*p + 25*p. Suppose 3*z - p = z - 2*q, -2*z + 12992 = -4*q. Round z to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - -49. What are the prime factors of g?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825288 to the power of 1\/2, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 39646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 + 7*n + 1. Let g be r(5). Is 7\/(((-6)\/g)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p + 1379 = 61*p. Let r be (10\/(-90) - p\/(-396))*-16. Is -7 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -420049, -840097, -1260145, -1680193?\n\"Answer: -420048*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {w: 1, r: 1, l: 3, a: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 2*u)*((6*u - 5*u + 0*u)*(-3*u + 3*u + 2*u**3) + 2*u**4 + 0*u**4 + 0*u**4).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9)\/((-5)\/375). Let p = v + 115. What is the greatest common factor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 87. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((0 - -6) + -7 - 3 - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6962 by 84146.\nAnswer: -3481\/42073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*h - 42 = 0, -o - 3*h - 1 = -0*h. Let x = 58 - 86. Let q be (-466)\/(-14) + 8\/x. Calculate the greatest common factor of q and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 25. Let h be v(-6). Let w = -120 - -451\/4. Is h greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 3.14. Let x = -2.72875 + -0.373. Let h = x - p. What is h rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 164*w**2 + 356*w + 516.\nAnswer: -4*(w - 3)*(w + 1)*(w + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -340, -1187, -2868, -5671, -9884?\n\"Answer: -48*x**3 + 15*x**2 - 10*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*80\/(-15). Suppose 0 = -3*q + w + 1. Sort 3\/5, 9, q in descending order.\nAnswer: 9, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -187\nAnswer: -56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7 - 12*f - 22 - 183*f**2 + 182*f**2 + 8. Let n be x(-11). Is 210 + 23 - (1 - n\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/259380 and 73\/4716?\nAnswer: 259380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -25. Let p = w + -6. Let g = 0.39 - 0.39. Sort -2, g, p in ascending order.\nAnswer: -2, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfmm when four letters picked without replacement from {f: 5, m: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 300, 2.\nAnswer: 0, 2, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 76, 20 in decreasing order.\nAnswer: 76, 20, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from occoccsccososcoc?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13162, 25278, 37396, 49516, 61638?\n\"Answer: l**2 + 12113*l + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/12*(3 + (-298917)\/56937) + 3. Do -1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 12) to base 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1458 + 1458 + 3*s**2. Let u(d) = 3*d - 11. Let l be 0 + (2 - 14 - -1). Let r(v) = -v + 4. Let i(x) = l*r(x) - 4*u(x). What is i(a(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.658002825 + -4.658. Round f to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 + 13889167*o**2 + 693*o - 5438 wrt o.\nAnswer: 20*o**3 + 27778334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8182)\/3)\/(3 - 66\/18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103442 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/10566 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-2 + sqrt(405)*-2)*5 - (-5*(sqrt(405) + 1) - (-2 + sqrt(405))*-4))*-1)**2.\nAnswer: -2430*sqrt(5) + 164070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3228 divided by 23?\nAnswer: -3228\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220\/3 - -74. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 816\/72 - (-6)\/(-45). Let 2*y**5 + 0 + j*y**3 + 0*y + 16\/5*y**2 + 44\/5*y**4 = 0. What is y?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7 - 72\/7*w + 4\/7*w**2 + 18\/7*w**3.\nAnswer: 2*(w - 2)*(w + 2)*(9*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216334020.999961 - -216333934. Let v = 87 + u. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31010 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 52. Suppose 0 = 5*x - 64 - a. Suppose -f - 3*j + 8*j = -14, 5*f - x = -j. Solve 2 = -4*h - 3*i, f*h + 5*i - 4 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1649*q**2 - 821*q**2 - 826*q**2 - q + q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 + 5*n - 2. List the prime factors of r(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -53 + 11. Let y = 12051 + -12007. Calculate the remainder when y is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-117.4133\nAnswer: -939.3064","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -222 - -234. Solve 0 = o*j - 11*j - 5*r + 3, 0 = 3*j - r + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 685635 and 170?\nAnswer: 23311590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 2, s: 4, a: 6, m: 3, f: 1}. Give prob of picking 2 j.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594821*t + 413 = -594896*t - 112 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + w + w)*(-w - 2*w + 4*w)*(8*w**2 + 2*w**3 - 8*w**2 - 8*w).\nAnswer: 16*w**5 - 64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let p(l) = 15667*l + 15669*l - 31336*l + 614*l**2. Give n(p(x)).\nAnswer: 2456*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -488*i*m**3 - i*m**2 - i + 18*m wrt m.\nAnswer: -2928*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-12))\/(1\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - w = 1, i - w - 4 = 3. Suppose 0 = i*u - 4*u + 5. Let l(g) = g**3 - 6*g**2 + g + 3. Give l(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6954 - -643. Suppose 6*f + 3*w = f + u, 4*f - 2*w = 6060. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 18 = f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7336*n - 7345*n + 126 = 0. Solve -11*t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 13*y**5\/20 - 5*y**3\/2 - 16*y. Find the second derivative of t(l) wrt l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 9, -19, 4, 1, 2 in increasing order.\nAnswer: -19, 1, 2, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y**2 + 6*y + 13. Let l be t(16). Suppose 117559 = 6*p + l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266161 and 2632?\nAnswer: 2129288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 186*l + 1362. What is d(8)?\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170597?\nAnswer: 11, 13, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.355 - -2.455. Which is the closest to 0.1? (a) v (b) 1\/28 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1081, 0, 5, 3, 8 in decreasing order.\nAnswer: 8, 5, 3, 0, -4, -1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 22*f - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-4)*(-86)\/(-129)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = -i, 2*h = 3*i + i + 24. Let f be 0 - 150\/(-27) - h. Let c = f + 103\/90. What is the common denominator of -5\/4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77622*v + 59042 with respect to v.\nAnswer: 77622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-18) + 9\/(486\/12). Is (23\/69)\/(((-3)\/11331)\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z - 9\/2*z**2 - 3\/2*z**3 + 0.\nAnswer: -3*z**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1286 divide 29697987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(110)*1 - sqrt(110)))\/((-2*sqrt(250) + sqrt(250))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s**6\/s))*s*s*s*s*s**(2\/15)*(s**(3\/4))**(-11\/3))**(-3\/13))**20 assuming s is positive.\nAnswer: s**(-503\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:50 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1284 and 1161378.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 + -123. What is the remainder when 314 is divided by g?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, -149, 0 in increasing order.\nAnswer: -149, -5, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-104) + (-74)\/26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3*z**3 - 12*z + 6*z**2 - 9 - 4*z**3 - 6 - 5. Find y such that i(y) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29985)\/(-7996))\/((-10)\/128)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -28, -4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-3)*1*2\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 360168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7446730 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)\/j**19)**(1\/7) assuming j is positive.\nAnswer: j**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812384?\nAnswer: 2, 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -357?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -22*a**2. Let g(f) = -2*f + 6. Let u(y) be the second derivative of y**3\/2 - 5*y**2 + 2*y - 4. Let j(x) = 5*g(x) + 3*u(x). Determine j(d(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 845859.2l in millilitres?\nAnswer: 845859200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/266 + 40\/380)\/((-1)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(48) - sqrt(3))*2)**2 - ((sqrt(3) + 1 + sqrt(75) - sqrt(3)) + sqrt(3) + sqrt(30)\/(-1*sqrt(10)))**2.\nAnswer: -10*sqrt(3) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 1238?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {a: 3, c: 5, j: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -4d?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102666 (base 7) in base 8?\nAnswer: 42653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006972874 to seven decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/844634758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3618 and 10?\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 1078*t + 17 = -0*l - 2146*t + 1073*t, -5*t - 10 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 9*f**2 + 8*f + 18. Let j be r(-8). Suppose 20 + 10 = -3*g. Let i = j + g. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*f - 7438487 + 7437521 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -17. Factor -5*c + 7*c + 10*c + w + 3*c**2.\nAnswer: 3*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1899120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2*c. What is g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 2 + 15*i + 3*i**2 - 6*i in the form l + b*i + w*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(1\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 361, -233, 14 in descending order.\nAnswer: 361, 14, -4, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260082 is divided by 86601.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from lhlqllljlyllvy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x + 32*x + 3354. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3735597 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 28983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(768\/(-112)))\/(7\/30). What is the highest common factor of m and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**11)\/u)**6*u**(2\/21)*(u**(-10\/9)*u)\/u*u assuming u is positive.\nAnswer: u**(-3781\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 11 + -5 + 0. Suppose l*b - 238 = -4*b. What is the greatest common factor of b and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 949368, 949356, 949320, 949248, 949128?\nAnswer: 948948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 3. Let n be (-2)\/t + -3 + 57\/9. Suppose 0*b = -n*b + 312. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4012800 = -15*j + j - 34*j. What is j rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 minus 4.159?\nAnswer: -4.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.125 + -9.425. Let t = y + 5.3. Sort t, -16, 3\/5 in decreasing order.\nAnswer: 3\/5, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(-3 + 1 + 3) + 2*c + 13*c + 2*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*p + 3*n = -236*p - 10, -4*p - 5*n - 26 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + 187.642. Let c = i + -40.442. Let h = c - -40.799769. Round h to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r - 1. Let k(g) = 16*g - 2. Determine 2*k(j) - 5*w(j).\nAnswer: -8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 48*v**3 - v**2 - 13*v - 5. Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10368 (b) 0.13 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/20)\/3)\/((-366)\/(-1708)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3036271*i**2 + 1683556 wrt i?\nAnswer: 6072542*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 803, 525, 247, -31, -309?\n\"Answer: -278*n + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-80)\/(-300))\/((-12)\/10). What is the nearest to -2 in -4, h, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51180*a**4 + 2320*a wrt a.\nAnswer: -614160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1864 and -1859 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)*1\/(-3). Let a be 1\/3*(k - 1). What is the nearest to a in -1\/4, -1, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - d**4 + 6*d**2 + 2*d**4 + 3*d**3.\nAnswer: -3*d**2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -30. Let y(q) = -2*q**2 + 28*q - 46. Let l be y(12). Let u be (-30)\/8*-2 - l. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7083 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10*140\/8. Let v = -10 - c. Suppose 227 = v*d + 15. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, d: 3, p: 1, l: 3}. Give prob of picking 1 d and 2 l.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:10 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l - 72 = -121*l. Is (-7 + 1408 - l) + -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 4*f + 4. Let t be 0\/1 - (3 - 2). Let j = t + 6. Let z be r(j). Is -1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + p**3\/3 + p**2. Let k be z(-1). Let w = -504 - -506. Which is the biggest value? (a) k (b) w (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -26*n + 63. Solve 21 = -n*p - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68917268 times 0.5\nAnswer: -34458634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5064\nAnswer: 1\/5064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -807342394.3197 take away 0.6?\nAnswer: -807342394.9197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -4. Suppose -3*u - 15 = 4*x, 5*u + 4*x = u - 16. What is the third smallest value in v, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335764 - -258.837.\nAnswer: -335505.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.120003 kilograms?\nAnswer: 120.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 34*a**2 + 346*a - 15. What is p(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 5. Let w be x(-8). Let o(h) be the third derivative of h**5\/60 + 7*h**4\/24 - 10*h**3\/3 + h**2. Let s be o(-9). Put w, -11, s in increasing order.\nAnswer: -11, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - o + 4*o - 36 = 0, 2*j - o = -1. Put -3, -9, -2, 5, j in ascending order.\nAnswer: -9, -3, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/(-35))\/3 - (1 - 0).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000491041039 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 57 - 60 = 0. Solve -2*j + 15 = l*j, -3*s - 9 = -4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2)\/(1\/2). Suppose q - 12 = -5*n, -y*n + 5*q - 8 + 35 = 0. Find the second derivative of 776*m**3 + 6*m**4 - 776*m**n - 10*m wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/17)*c*c**(-1\/30))\/(c**37*c*c\/(c*c**(-4\/5)\/c)*c))**(1\/30) assuming c is positive.\nAnswer: c**(-815\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 620*c**3*w**3 - c**3 - 27*c**2*w**3 + 2*c**2*w**2 - 17*c*w**3 - w**3 wrt c.\nAnswer: 3720*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/240 and 137\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-427)\/6*55\/4235 and -143\/372?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/596520 and 101\/148320?\nAnswer: 245766240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(9\/24*-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 376, 389, 418, 469, 548?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1573*a**3 - 508*a + 1011*a + 278*a**3 + 7 - 503*a in the form s + n*a**2 + r*a + w*a**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u**3 + 52*u**2 + 52*u - 52. Let t(w) = w**3 - 3*w**2 - 3*w + 3. Calculate -104*t(n) - 6*x(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 325, 671, 1129, 1699, 2381?\nAnswer: 3175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10 - (-455)\/39)\/(-5))\/((-1)\/8817)?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojsoz. Give prob of picking 1 o, 1 s, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1440817820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(60) - (sqrt(60) - sqrt(960))))\/(5*-1*sqrt(12) + sqrt(12)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61992 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 152 = 47*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273740 at most as big as 7273729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 786\/258 + (-294)\/6321?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242 - 3*h - 244 + 8*h**3 + h**3 wrt h?\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 109*a**3 + 65*a**2 - 60*a + 20 + 5*a**4 - 57*a**3 - 82*a**3 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*m - 15675*m - 33 - 4 + 37 as d + h*m and give h.\nAnswer: -15734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -592, -530, -428, -274, -56, 238?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)\/m))**22*m\/(m\/(m*m\/(m*m**(-3\/2)*m)*m))*m*m*m*((m*(m\/m**1)\/m)\/m)\/m)**(-46) assuming m is positive.\nAnswer: m**(-3197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062345 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 5*h - 6 + 18 in the form b + y*h and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/70 + 9 + (-486)\/54 + 372\/14?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 16*c - 9932. Calculate v(108).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114044976 divided by 745392\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255744 or -95.3?\nAnswer: -255744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 454116 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 3, e: 1}. What is prob of picking 2 z and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 495*o + 11882. Calculate j(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (-55 - -49).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1923597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 9880907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1146 times 1.7489?\nAnswer: 0.20042394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5354*p**3 - 2515123*p**2 + 2515123*p**2 + 5349*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -32. Let i = f + -6. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (54 + -43).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-111)\/(-39) + (-12)\/(-78). Let h = 5 - 13. Let z = 4 + h. Which is the smallest value? (a) z (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/5)\/w*w**(12\/13))**(6\/17) assuming w is positive.\nAnswer: w**(672\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 172. Let z(g) = -5*g. Give -u(w) - 2*z(w).\nAnswer: 2*w - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 s when three letters picked without replacement from sssoooowoooswwooaow.\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/((-540)\/(-8))*-1 - (-1600)\/(-750). Let j(u) = -3*u. Let h be j(1). What is the nearest to h in 3, 4\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5017716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = -4*c, 2*c + 4*k - 4 = -2*c. Find x, given that 6*x + x - 4*x**c - 6*x**4 - 7*x + 10*x**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 3*w - 2. Suppose 4*x - 5*x - 24 = 4*n, -3 = -3*x + 3*n. Let j(a) = -a. Determine x*j(o) - r(o).\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 + -6.5. Let u = -12 - d. Let k = -3.4 + u. Put 4, k, 1 in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29833.2 + 0.2\nAnswer: 29833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -233003 divided by -41\nAnswer: 5683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -43.18 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -31*m. Let f(b) = 8*b**2. What is f(i(a))?\nAnswer: 7688*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) -6\/7 (d) 5 (e) -0.8 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*x + 2 = -270, 0 = -2*q - 4*x + 128. Let n = -31 + q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -3*n, 3*v = n + 7. Solve 3 - 6 = v*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 6*sqrt(130)*-1)\/((1*sqrt(5) + sqrt(5))*4))\/(sqrt(128) + sqrt(128)*-3 + (sqrt(4) + 3*sqrt(4))\/sqrt(2)).\nAnswer: 5*sqrt(13)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1738575300 to the nearest 1000000.\nAnswer: 1739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 2.\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577335?\nAnswer: 5, 499, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1088) + 2 - (sqrt(1088) + (-3 + sqrt(1088)*-4)**2 + sqrt(1088)).\nAnswer: -17416 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -50, -77, -106, -137, -170, -205?\n\"Answer: -r**2 - 22*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*-4*-4*sqrt(200) + -4)*-4 + -1.\nAnswer: -16000*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/22 + -3 + (-4)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - 4*q)*(0 - 1 + 3 + (-3 + 5 + 2)*(-5 + 4 + 0)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9045 - 9051 - 5*u - u + 2*u - 55*u**3 - 74*u**3.\nAnswer: -129*u**3 - 4*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6*p - 3. Let h = -1 + 5. Let s = -177 + 195. Suppose v = d - 9, -4*d - h*v = -2*v - s. Calculate l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255437 is divided by 496.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164.444 - -73992245?\nAnswer: 73993409.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 4 (c) -0.1 (d) 1369 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 1, l: 7, g: 4, f: 2, v: 1}. Give prob of sequence gx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 69*z + 75*z - 3*z**2)*(z**3 + 2*z**2 - 2*z**2 + (-3 + 3 + z**2)*(2*z + 4*z - 5*z) + 2*z**3 - 3*z**3 + 4*z**3).\nAnswer: -20*z**5 + 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.071 in -2, 3, -0.2, 1\/10, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.18 + 0.18. Let u be (-5)\/35*-1*-9 - 2\/(-2). Sort 48, g, u, -5 in decreasing order.\nAnswer: 48, u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-3 + -1 - 2). Suppose -u*r + 75 = r. Let m = 67 - r. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, -67, -103, -143, -187?\n\"Answer: -2*v**2 - 26*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3168.2 + 3168. Sort 0.04, 10, 3\/5, i, -1\/2 in descending order.\nAnswer: 10, 3\/5, 0.04, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a97 (base 11) in base 12?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -909*v**2 - 203619*v - 863. Give y(-224).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 22. Let k(q) = -q**3 - 7*q**2 - 9*q + 35. Let f be k(-9). Suppose f = z*o - 14. Calculate the remainder when o is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/136215 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*(d*d**5)\/(d*d*d**(-3\/5))*d**(-9\/8)*d*d**3*d**(-2) assuming d is positive.\nAnswer: d**(419\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 32 times -0.019?\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - 443636?\nAnswer: -443600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*g - 112 + 137 = 0, -4*g = -7*u - 41 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 13) in base 15?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789990 is divided by 22568.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4627673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-3\/8)\/g)\/g*g\/(((g*((g**(-14)*g*g)\/g*g)\/g)\/g)\/g))**(2\/61))**(-2\/81) assuming g is positive.\nAnswer: g**(-109\/9882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 5143?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-751 + 3\/(-1)). Let g = k + -385. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*n**2 + 438*n - 438*n)*(2*n + 0*n + 0*n) - n**3 - 2*n**2 + 2*n**2.\nAnswer: -121*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55 - -409?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 16. Calculate the least common multiple of g and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1392 and 55\/28?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:02 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 17*c + 127 = 0, -c - 208 = -3*q - 221 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/5*(-4)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -754.\nAnswer: -301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 less than -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let x = q + -2.5. Let z be (-96)\/112 + 132\/105. Put -0.1, x, 6\/5, z in increasing order.\nAnswer: x, -0.1, z, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -478 in increasing order.\nAnswer: -478, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 14*o - 82. Let l be f(-6). Let c = l + 151. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/8 - 2*z**2 - z = 0. What is z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(57)\/sqrt(3) + -3 + sqrt(2299) + (0 + sqrt(2299))**2 - ((2 + sqrt(304))**2 - (sqrt(19) + sqrt(38)\/sqrt(2))**2*6).\nAnswer: -3*sqrt(19) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 - 6*u - 7. What is the lowest common multiple of 2 and l(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 10, -1329, 0.05 in ascending order.\nAnswer: -1329, 0.05, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 139 (c) -0.2 (d) 74 (e) 0.3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {l: 1, y: 4, n: 3, t: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -408 + 1127. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.19783 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let p = -2 + 5. List the prime factors of f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 4. Let h be l(-5). Let b = 11 - h. Suppose b = -2*x + 3*c + 55, 3*c - 90 = -2*x - x. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5))\/(28\/70). Let t(o) = 14*o + 8. Let x be t(n). What is the greatest common divisor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/(a**15\/a))\/(a*a**(-3\/5)\/a*a**(3\/10)) assuming a is positive.\nAnswer: a**(-277\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w + 5. Determine o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let o(c) = 281*c - 281*c - 22*c**2. Give z(o(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1302\/6*55\/((-5775)\/(-45))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 26. Let y(h) = 3*h + 19. Let g be y(-12). Let u(k) = -2*k + 9. Determine g*u(d) - 6*w(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 112*t + 240.\nAnswer: -4*(t - 2)*(t + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*z**2\/5 + 9*z - 6\/5.\nAnswer: -3*(4*z - 1)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6447 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y**(-1\/6)*y)))*y**(-12))\/((y*y\/y**(-9))\/(y**(-1\/31)*y)))**(-3\/25) assuming y is positive.\nAnswer: y**(4067\/1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8.1. Let o = -0.3 - -0.5. Which is the third biggest value? (a) 0 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32d2 (base 14) in base 6?\nAnswer: -104440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (2 - (-13 + 18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 351.4215996 to one dp.\nAnswer: 351.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16301 + 1?\nAnswer: -16300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let y(c) be the second derivative of -3*c**4\/4 - 2*c. Calculate a(y(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let b be o(-3). Differentiate -b*n**4 + 4 - 13 + 3 wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*q + 114468 = -2038116. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 155*x**3 - 87*x**2 + 6 + 91*x**2 - 13.\nAnswer: 155*x**3 + 4*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16838 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5425213 divided by 4.\nAnswer: 5425213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2852311 divided by -7\nAnswer: 407473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*j = 4*i - 20, -2*i = -5*j - 34. Solve 3*p - 4*u = 7*p - i, 0 = -4*p - 5*u + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -927.91 times 4?\nAnswer: -3711.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4148, 8300, 12456, 16616, 20780?\n\"Answer: 2*o**2 + 4146*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-28))**9*s**(4\/15)*s*(s\/s**3)\/s)**(-33) assuming s is positive.\nAnswer: s**(41866\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.49999763 + -46.5. What is o rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614421403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 620*x - 15512*x - 697*x as w + r*x and give r.\nAnswer: -15589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 11. Let n = 810 + -815. Let v = -0.2 + 5.2. Put f, v, n in increasing order.\nAnswer: n, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (4 - 20). Suppose -d*v + x = -20*v + 356, x - 476 = -4*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**4 + 15*u + 12*u**4 - 24*u**5 + 9*u**4 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21001 - 220?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2114672 and 0.02?\nAnswer: -42293.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2011, -4003, -5993, -7981, -9967, -11951?\nAnswer: -13933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/24 + 11*s**3\/6 - 3*s**2. Let i be q(10). List the prime factors of i*(30 - 2\/1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74356, 148722, 223076, 297412, 371724?\nAnswer: 446006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*j + 31. Suppose 0 = 5*s - j - 17. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246205459 to the power of 1\/3, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -87*s**2 + 0 + 0*s - 25\/12*s**4 - 1\/12*s**5 - 40\/3*s**3. Factor j(m).\nAnswer: -5*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149787560?\nAnswer: 2, 5, 13, 288053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 3498*n**3 + 1082880*n**2 + 36262944*n = 0. Calculate n.\nAnswer: -564, -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45729415.\nAnswer: 5, 9145883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67597 divided by -6.\nAnswer: 67597\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2343 + 2664. What is the lowest common multiple of 12 and z?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))\/(u**(-1)*u))\/(u\/u**(5\/2)*u**(2\/5))*((u**(1\/4)*u)\/u)**(8\/5)*(u**(-1))**(-21) assuming u is positive.\nAnswer: u**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 2683*p**3 - 6*p**2 - 11592*p**3.\nAnswer: -14275*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174 + 158*g + 332 - 1050 wrt g?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7619 + 7619. Let u(a) be the first derivative of k*a - 1\/12*a**3 - 24 + 1\/4*a**2. What is g in u(g) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Suppose 30 = -6*r - 0*r. Put 4, c, r in increasing order.\nAnswer: r, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 2, b: 2, i: 4, e: 2}. What is prob of sequence meie?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.8. Let w = 21 + -12. Let a = -5 + w. What is the biggest value in a, -2, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15744 divided by 384\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (0 + -1 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/4 + 4*p**3\/3 - p**2\/2 - 2*p + 16. What is the smallest common multiple of m(3) and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 106, -5, -1\/46?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 5, b: 1, w: 3}. Give prob of picking 1 b and 3 w.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 616 - 581. Suppose 28*m - 33*m + a = 0. Let s(h) = h**2 - 8*h + 6. Calculate s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -25, 3*q - 3*w + 0*w + 4143 = 0. Let u = -1371 - q. Let -2\/7*l - 20\/7*l**3 - 4\/7*l**4 + 6\/7*l**u - 4\/7 + 24\/7*l**2 = 0. Calculate l.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7))\/(a**(1\/19)\/a)*(a\/a**3)**33)**5 assuming a is positive.\nAnswer: a**(-6750\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(40\/10)*((-9)\/3)\/30?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 2\/5, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1051*(32 - -1)*9*(-15)\/135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3310)\/25 + 6\/(-10). Let w = -121 - s. What is the remainder when w is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344537 smaller than -344535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 3*q + 20 - 2, 0 = 8*i + q + 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26457, 0.3, -1\/7, -5 in decreasing order.\nAnswer: 0.3, -1\/7, -0.26457, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 7*u**2 + 3*u + 9. Determine j(4).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 5*x**2 + 3*x + 2. Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151939, 607602, 1367027, 2430208, 3797139?\nAnswer: 5467814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -8 + 3)\/(3 - 1). Find the second derivative of 11*f**3 + 4*f**w - 10*f**3 + 111*f - 20*f**2 - 13*f wrt f.\nAnswer: 6*f - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755 divided by 151?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 570203336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(109\/165 + 378\/(-6237)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.05. Let x = -0.17 + u. Which is the nearest to 3? (a) x (b) 1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81257.492838 + -230.\nAnswer: -81487.492838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2834 - 286232\/101. What is the second smallest value in -5, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -2846?\nAnswer: -282c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 1, d: 2, n: 2, l: 1}. Give prob of picking 2 y, 1 d, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135718 and 2046?\nAnswer: 407154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-1176)\/(-56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17526 is divided by 70?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 6*g - 12. Let u(q) = -4*q**2 - 18 - 8*q - 2*q + q. Let j(p) = 5*u(p) - 7*w(p). Let k be j(5). Solve 0 = -3*t - k + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -671250491.697 and 77.\nAnswer: -671250414.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 319a834 (base 11) in base 16?\nAnswer: 55c83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29041432*a**3 + 29041373*a**3 + 179 - 180.\nAnswer: -59*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 1 + 0 - 4*z)*(11*z**3 - 15*z**3 - 3*z**3 - 99*z**3).\nAnswer: -848*z**4 + 106*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 - 12*g**2 + 2. Let o(k) be the first derivative of k**6\/90 + 5*k**3\/3 - 11*k + 210. Let i(j) be the third derivative of o(j). What is b(i(u))?\nAnswer: -192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + -7 + 3 - -3. Suppose -v + 7*g - 2*g + 64 = k, 5*g + 232 = 3*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99950.224 rounded to the nearest ten?\nAnswer: -99950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*n - 620*n - 203*n.\nAnswer: -2140*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 2*w = -52, -3*y + 93 = -2*w. Calculate the greatest common factor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 97312.\nAnswer: 681184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + -167. Suppose h*x = -4*a + 988, 2*a - 488 = -3*x + 4*x. What is the highest common divisor of a and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 2*m - 1. Calculate b(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -31*q**2 - 6600*q + 615. Determine u(-213).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 22*o**4 + 2*o**3 + 12*o + 1175. Let u(f) = -41*f**4 - 4*f**3 - 20*f - 2351. Let p(h) = 5*j(h) + 3*u(h). What is the derivative of p(r) wrt r?\nAnswer: -52*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*(((g\/g**0)\/g)\/g*g*g)\/g))**(-43) assuming g is positive.\nAnswer: g**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008885476955 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/2)\/((-1)\/2). Solve 3 = l, 5*w + l + 6 + i = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 32*y - 21*y - 11*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400614.3l in millilitres?\nAnswer: 400614300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w*w**(-2)*w)))**(-4\/7)*w**(-2\/5)\/w**(-8))\/(((w*w\/w**6)\/w**(-6))\/(w*w*w\/(w\/(w*w*w*w\/(w\/w**1)*w*w))*w)**(-1)) assuming w is positive.\nAnswer: w**(-99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -19*i - 18450. Round i to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:43 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + o**2 - o - 2. Let t be z(2). Suppose 0*i = 2*i - t. What is the tens digit of (i - (-2 + 0))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 58412*n**2 - 1227458*n - 2221252 = 0.\nAnswer: -19, -2, 29227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 306921750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3 - 4212*h**2 + 8408*h = 0.\nAnswer: 0, 2, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.10861 rounded to 2 dps?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15294 - 15278. Let b be (3\/(-1) + 17)\/2. Solve 0 = b*x - m*x - 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nana when four letters picked without replacement from ppapnpnnnnnpnna.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1583736.\nAnswer: -7918680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07686 take away 0.4795986672?\nAnswer: -0.4027386672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 11 (c) 2\/7 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 309?\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31257 + -5845029\/187. Calculate the common denominator of -39\/34 and u.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.4, 58\/7, 11, 8\/13.\nAnswer: 1\/6, 0.4, 8\/13, 58\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 46*i + 1344 = 0. Calculate the lowest common multiple of i and 70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 5)*(-j**2 - 1 + 1).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12689 (base 15) to base 9.\nAnswer: 88653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917304.4 centuries to months.\nAnswer: 1100765280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1447690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*k, -4*h + 8*h + 5*k = -65. Which is the fourth biggest value? (a) -1\/4 (b) h (c) 7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + 44. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 - 11*z**5\/30 + 49*z**4\/12 - 9*z**3\/2 - 235*z**2. Let v be y(16). Solve q - v = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3432302 (base 6) in base 7?\nAnswer: -1330445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/186 + -2\/31. Let g(f) be the second derivative of 0*f**3 + d*f**4 + 0*f**2 + f + 0. Let y(v) = 3*v. Determine y(g(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134808977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 18*g**2 - 27*g - 35. What is a(-17)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*b + 16, d = -6*b + b - 14. Sort -4, b, -14 in ascending order.\nAnswer: -14, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let i(u) = 8*u - 18. Let o be 3\/(12\/(-56)) - -18. Calculate o*i(m) + 72*x(m).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*s*y - 1482*b*s + 14*b*y**3 - 2*b*y + 94*s*y**4 - 5*s*y**2 + s - 2 wrt y.\nAnswer: 84*b*y + 1128*s*y**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11716 - 3225. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 0, -y + 5*y - 2 = 2*p. Suppose -3*c = k + 4*k - 40, 0 = -p*c. Let x be k\/(-3)*(-9)\/12. Calculate the highest common divisor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-54)*2*-3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**12*b**(4\/7))**(-38))**(1\/9))**(-49) assuming b is positive.\nAnswer: b**(23408\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -144, -123, -82, -15?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89972421 to the power of 1\/2, to the nearest integer?\nAnswer: 9485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213123*l**3 - 312765*l?\nAnswer: 1278738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/743316 and 131\/159282.\nAnswer: 2229948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:55 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*y - 242*y - 810*y - 28*y**2 + 61*y.\nAnswer: -28*y**2 - 1223*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2*v**3 - 4*v**2 + v**2 + 10 + 2*v**2.\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, -16, -2\/5, 0.2, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/5 + 1164*o**2\/5 + 5883*o\/5 + 4716\/5.\nAnswer: -3*(o - 393)*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(270) - (-1*sqrt(270) + sqrt(270)))\/sqrt(10))\/((sqrt(9) + -1*sqrt(225))*4).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 8324978?\nAnswer: -5\/8324978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g. Let j(s) = -s - 1. Let z be j(g). Suppose -1 - 2 = -3*m. Which is bigger: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 418\/(-627) - ((-2)\/(-6) + -1). Solve 21 = -4*a + 3*x, 3*x - 6 = -a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16265 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*r + 176*r + 264. Solve r*o - 85*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(204) + (sqrt(204) - (-2*sqrt(204)*-2 + sqrt(204)))))\/((-2*1*sqrt(12) + sqrt(12) - sqrt(12)) + 1*sqrt(1728)))**2*-2.\nAnswer: -2754\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/3 + v**3\/3 + 62*v**2. What is g(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 - i**2)*(i + i - 4*i) + (4*i - 2*i - i)*(2 - 2 - 2*i**2) + i**3 + 0*i**3 - 3*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.48 - 0.18. Sort -0.9, -2\/9, o.\nAnswer: -0.9, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529.6763 millilitres to litres.\nAnswer: 0.5296763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - (-11 + 17 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 745805063 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -28. Let z = 8.8 + r. Let g = 504\/11 - 46. What is the third smallest value in 5, z, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*o**5*q - 2*o**4*q**3 - 111*o**3*q + 2*o**2 + 695*q**3 + q**2 wrt o.\nAnswer: 840*o**2*q - 48*o*q**3 - 666*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 770101324 a multiple of 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2*o**4 + 0*o**4 - 6*o**2 + 1 - 4*o**3 to y*o**3 + d*o + x*o**4 + r + a*o**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*x - 3*v - 2, -3*v = -5*x - 8*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)*(-28)\/294?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 18*r - 20. Is x(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s + 89. Let f be 43\/8 + (-105)\/280. What is the least common multiple of 10 and o(f)?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 6 - (15 + 2). Let g be (-391)\/(-119) + 4\/o. Suppose -2*b + g*u + 2 + 2 = 0, -b + 24 = 4*u. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/(-22) + (8 + 14 - 26).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 5. Let o be d(6). Let u = 4905 - 4900. Solve 3*g + 16 - 3 = -p, o*p - 35 = u*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4\/7 (c) -0.745\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 - 5263680*r - 63164224\/3.\nAnswer: 4*(r - 3947764)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-7\/3)*(v**(7\/6)*v)\/v*v**0 assuming v is positive.\nAnswer: v**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 177*u + 1244. Let r be f(-7). Let c = 13 - 6. Suppose c - r = -z. Put -4, 6, z in decreasing order.\nAnswer: 6, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (108 - 111) + 10*2\/4. Let d = 12 - 6. Solve -y = 4*s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153) + 0)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 2\/3 (c) -0.21641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 9. Let q = 1 - 1. Let g be t(q). Let h = 13 + g. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101010001101001 (base 2) to base 14\nAnswer: -15b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose a*b = -b. Let f = 2 + b. Is 6 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1039076 and 940?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.930313711 rounded to four decimal places?\nAnswer: 0.9303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 19. Suppose 5*h - 3*v = -40, 0*h - v + 50 = -5*h. What are the prime factors of r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = y + 6, -4*y - 7 + 27 = -2*l. Suppose -4*n + 1 = -3*n. Let x(h) = h**2 - h - 1. Let g(f) = -3*f**3 - 4*f**2 + 4*f + 3. Determine n*g(d) + y*x(d).\nAnswer: -3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let p = -1 + -2. Let r = 2.8 + p. What is the second biggest value in -3\/5, s, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (119\/(-17) - 3)*298\/4. Let v = f + 1060. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + m + 321 = 0, -3*o = m - 0*m - 253. Calculate the remainder when 960 is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50759, 50278, 49809, 49352?\nAnswer: 48907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)\/(f*f**(-3))*f*f*f**(-2)\/f*f*f**(-8) assuming f is positive.\nAnswer: f**(-184\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:27 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -576*g + 0 - 4*g**2 - 3 - 575*g + 1152*g. Let p(a) be the third derivative of -a**5\/60 - a**3\/6 + 2*a**2. What is -9*p(f) + 2*u(f)?\nAnswer: f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 + 13)\/(5 + -7) + -22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-15 + 7 + 14)\/(-2)). Solve 5*v = -5*l, 4*l + 40 = -c*l + 4*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 348.8 and -13839?\nAnswer: -4827043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)\/1 + -2. Let o = u + 4. Let v = -3661 + 3665. Let s(n) = 4*n. Let d(l) = -5*l. Give o*d(c) + v*s(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/56)\/((-4)\/48). Which is the closest to 1? (a) x (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/(-96))\/((-357)\/1836).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0908578 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -157, -159, -161, -163, -165?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y + 140 - 100 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -4 + 5)\/(3\/4). Let d = 4 + 1. Solve -d*g = 7 + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.92. Let a = 90 + -94.92. Let c = a + q. Sort -2\/21, -1\/5, c.\nAnswer: c, -1\/5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 6*p**2 + 2*p + 4. Let y be q(-6). Let z = y + 31. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-2*1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = 3*y, 12 = 3*x - 3. What is the hundreds digit of ((-90)\/(-36))\/(y\/(-300))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i - 470 + 366 = -9*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = 7. Let w(c) = -i*c + c + 4*c + 2*c. Let b(l) = 3*l. Calculate b(w(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/3, 2, -3\/5 in increasing order.\nAnswer: -3\/5, 0.2, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 670997807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9972 divided by 3?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433571?\nAnswer: 433571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2453, -2534, -2669, -2858, -3101?\n\"Answer: -27*a**2 - 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose 3*y - 4*z - 585 = 0, -4*y - 5*z + 434 = -315. Suppose u*a = y + 55. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i - 88 = -2*t, 129 = -4*i + 5*t. Let k = i + 44. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431*b**2 + 970*b**2 + 2*b + 4622 - 2*b + 2773*b**2 wrt b.\nAnswer: 8348*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) -2 (d) -1\/2 (e) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmmmmsqegmmmsmgmq. Give prob of picking 1 s and 2 m.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 76316, -46, 5.\nAnswer: -46, -1\/4, 5, 76316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1520422, 1520431, 1520442, 1520455, 1520470?\n\"Answer: z**2 + 6*z + 1520415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/(-60))\/(3\/((-9)\/(-27)*-115)). Factor -2\/3*z**3 - 80*z + 96 - y*z**2.\nAnswer: -2*(z - 1)*(z + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-2 - -4)*4. Suppose l + 4*l - b = k, k - 8 = -l. Let p(i) = -i**2 + 6*i - 9. Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2671\/11 + 243. Sort n, -1, 0.05.\nAnswer: -1, 0.05, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5351264l in millilitres?\nAnswer: 535.1264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -7. Let d = 10 + g. Suppose d = 3*z - 60 - 84. What is the greatest common factor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158 + 152. Sort -5, -1, c in decreasing order.\nAnswer: -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 - 130) + 22 + -3 + (0 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 246 + 255 + 2*k + 238 - 729. Let q(d) = 81*d**2. Give i(q(b)).\nAnswer: 162*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + 6*q**2 + 52*q - 12*q - 18*q to h*q**2 + r*q + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-7 - -3) + (-86 - -99)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 20 = -4*x. Let v = -3\/152 + 379\/3800. Is x equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 + 3*g - 4. Let b be j(3). Suppose -b + 19 = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 676151.\nAnswer: 676149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364655 is divided by 181116.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdd when three letters picked without replacement from ndfnd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*d + 238 - 76 = 0, -4*k - 232 = 4*d. Let g = 57 + k. Let x = 0.26 + -0.66. Which is the closest to -2? (a) -0.2 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1436434994200 and 0.084.\nAnswer: -1436434994199.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -107*d - 833. Calculate r(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 377*t**3 + 1 + 2*t**6 - 16623*t**2 + 165*t**3 + 16909*t**2 wrt t.\nAnswer: 240*t**3 + 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 131. Let k be o\/(-6)*27\/18. Suppose -k*g + 4*g = -18. Do g and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.07 (c) -2\/51 (d) -333333 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.681*-0.4\nAnswer: -0.2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-499*r**2 + 112 - 483*r**2 - 113)*(4*r - 4*r - r**3).\nAnswer: 982*r**5 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/120 - o**5\/6 - 3*o**4\/8 + 2*o**3\/3 + 9*o**2. Let k be g(-9). Solve 4*r - 13 = 3*x - k*x, -3*x = r - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8872 - 8876. Which is the nearest to -0.1? (a) 0 (b) p (c) -150 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 6889451\nAnswer: 14\/6889451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86.5343 + 0.0657. What is a rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {e: 4, v: 3, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -24176?\nAnswer: -24175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 11685 = 11221 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**3 - 251*c**3 - 5*c**2 + 194*c**3.\nAnswer: -3*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-121)\/86) + (-3)\/165*10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Is 322\/21 + (-1)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/30 and 1\/369.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.349 + 95.651. Let o = -117 + p. Which is the nearest to 1? (a) -0.4 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -b - 3*a + 45, 0 = -135*a + 138*a - 12 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -73 + 53. Suppose -5*f - 4*m = -7, 5 = f + 2*m - 0. Let j = 1 - 0. What is the closest to -1\/2 in j, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 - 52*i + 4. Suppose -48*l + 653 = 413. Determine m(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6648*j + 151 - 71 - 80.\nAnswer: 6648*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -826. Let g = l + 823. Let z = -17 - -29. Which is the third biggest value? (a) z (b) g (c) -2\/15 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 10*o - 0*o. Suppose o*v + 13 = 13*v. Calculate the greatest common divisor of 19 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/12 - (-26)\/6. Differentiate z*l**3 + 0*l**3 - 4 + 12 wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 17*z + 18. Let t be u(18). Let v(j) = 0 + t - 8 - 25*j + j**3 - 10*j**2 + 2*j. Let a be v(12). Solve 4*m + 2 = 5*n, 2*n = -n + m + a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/1680 - 3*t**6\/320 + 3*t**5\/32 + 113*t**4\/192 + 5*t**3\/4 - 9*t**2 - 298*t. Factor z(m).\nAnswer: -(m - 5)*(m + 1)**2*(m + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*w**2 + 5)*((28 - 28 - 20*w)*(-2*w - w + 8*w)*(2 - 2 - 1) + (0*w + w - 2*w)*(w - 4*w + 4*w) + 2*w**2 - 3*w**2 + 0*w**2).\nAnswer: 490*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let t(f) = 3*f**2 + f + 1. Let a be t(-1). What is d(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601.5 + 0.17.\nAnswer: -601.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230985*c**3 - 103365*c**2 + 3 wrt c.\nAnswer: 1385910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -57\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4136 - 110116?\nAnswer: -114255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-4)\/10)\/(22 + (-48)\/(-300)*-115).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 16*w**2 - 170*w - 73. What is the units digit of n(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42714 (base 9) to base 16\nAnswer: -6e7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -7*l**3\/6 - 100*l. Let v(y) = -11*y. Determine w(v(n)).\nAnswer: 77*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376991 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = x - 3*z + 36, -5*z = 4*x + 59. Let f = x + 14. What are the prime factors of 2\/f + (-4720)\/(-56)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4564 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 5*k - 6. Let r be i(-4). What is the common denominator of (0 - (-4)\/r)*69\/12 and -151\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -3*h**3\/2 - 2*h**2 - 3*h. Let x be t(-1). Let s be 1 + (-8)\/6 + x\/15. Solve 4*c + s*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 33383480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 + j**2 + 0*j**2)*(-1 + 1 - j**2) + (j + j**2 - j)*(3*j**2 + 0*j**2 - j**2 + 3*j**2 - 5*j**2 + j**2 + (-4*j + 0*j + 2*j)*(2 - 2 - j)).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/9 - 2*u**3\/9 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g + 12. List the prime factors of l(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1776 and -55\/296.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 8 = 12*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/100 and -91\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 - 1.22. Let h(k) = -k**3 + 3*k - 3. Let s(x) = x**2 + x - 4. Let i be s(-3). Let f be h(i). Which is the biggest value? (a) f (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let g(i) = 415*i**2 + 307*i. What is g(x(v))?\nAnswer: 415*v**4 - 307*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78854.\nAnswer: 2, 89, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from hvvivvhpvvyvpah.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (5 - 5) - 31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257*b**3*g + 3*b**3*l*z - 139*b**2*g*l*z - 2*z wrt l?\nAnswer: 3*b**3*z - 139*b**2*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18)*1*3)\/(sqrt(90)\/(sqrt(490)*2)).\nAnswer: -42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4838, 4833, 4818, 4787, 4734?\n\"Answer: -s**3 + s**2 - s + 4839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:08 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 108\/303329?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704 = 45*o - 700 + 279 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9080710 is divided by 261.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1449 and -97\/878922.\nAnswer: 6152454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/60 - 4*o**3\/3 + 4*o**2. Find the first derivative of n(v) wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*a + 0 + 0)*(4*a - 2*a - 4*a) + 464*a**2 + 562*a**2 - 1094*a**2 to g + o*a**2 + y*a and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 421, 1650, 3703, 6586, 10305, 14866?\n\"Answer: s**3 + 406*s**2 + 4*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579947458 to the nearest integer?\nAnswer: 24082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30390 or 30497?\nAnswer: 30497","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - 11072995381491.\nAnswer: -11072995381491.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039295 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 13. Solve z*n - 5*n - 10 = -5*s, 3*n = 5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*n**3 + 3 - 6*n**3 + 5*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*t = 4*v - 2, 0 = -v - 3*t. Sort 2, v, -3, -2.\nAnswer: -3, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 11*b**2 - 3*b - 28. Determine k(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21937429 is divided by 94152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*i = -8, 0 = h - 2*h + 5*i - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 7*g**2 + 7*g - 4. Let i be m(6). Let b(l) = 4*l**2 + 12*l**2 - 8*l**i. Give b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266 = 40*m - 27666. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301239905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80368, 78569, 76770, 74971, 73172, 71373?\n\"Answer: -1799*r + 82167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + -296. What is j rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 18*b + 38. What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) 0.5 (b) -4 (c) 1\/182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 5208*z - 2260272.\nAnswer: -3*(z + 868)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -600*b**3*j + 4*j + 11 wrt b.\nAnswer: -1800*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t - 29 = 656 + 755 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 340\/3 + -113. Factor 1\/3*v**2 - 1\/3*v**4 - 1\/3*v**3 + s*v**5 + 0*v + 0.\nAnswer: v**2*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(1\/4). Let v = i + 9. Solve 0 = 2*w + 3*a + 23, -a + v - 28 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/28014 and -103\/5758878?\nAnswer: 40312146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -333*h**3 + 4*h + 4. What is the hundreds digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111829 = -8017*r + 160713 - 172797 - 228835 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.51 + 21.49. Let c = l - 8. Let p = c - 14.2. Put 2\/9, p, 0.5 in descending order.\nAnswer: 0.5, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i*i*((i\/(i\/(i*i*i**(2\/11))))\/i)\/i*i)**9 assuming i is positive.\nAnswer: i**(-675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let w = 0.08 + -0.28. What is the nearest to 0.1 in g, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 67*k + 39. What is i(-8)?\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v + 1)*(-2 + 2 - v) + 51*v**2 + 20*v**2 - 35*v**2.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171\/4 + 44. Let j be 4\/(-6) + 13\/24. Put j, a, -5 in ascending order.\nAnswer: -5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7942 (base 13) to base 7.\nAnswer: -100300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 42, 82, 138, 210?\n\"Answer: 8*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 8\/(124\/(-32) - (-2 + -2)).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*s + 52*u - 51*u, 0 = s + u - 3. Let h(b) = -8*b - 4. Let i be h(-3). Sort -1, i, s, -2 in increasing order.\nAnswer: -2, -1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7*20)\/5 + 2. Suppose -f = 5*f - w. Solve f*x = x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let p(y) = 35405 + 2*y**2 - 4*y**2 + y**3 - 35409. Determine -2*k(q) - p(q).\nAnswer: -q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x**3 - 2*x**2 + 7*x + 1. Let o(c) = 2*c**3 + c + 1. Calculate 4*o(r) - p(r).\nAnswer: 21*r**3 + 2*r**2 - 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -13 (c) -0.2 (d) -0.08 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8396, 16777, 25158, 33539?\nAnswer: 41920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*z + 32 - 16, 40 = 2*b - 4*z. Solve 5*p = p, p + b = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489*i + 663*i = 1061*i + 481*i + 158656 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/11)\/(j*j**(3\/2))*j**(-10)\/(j\/j**(-8)) assuming j is positive.\nAnswer: j**(-485\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*o - 198. Let b = o - 92. Solve -p + b + 3 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + f**4 + 6*f**4 + (-f + 3 - 3)*(86*f + 85*f + 29*f)*(-3*f - 2*f + 3*f)*(0*f + 2*f - f).\nAnswer: 405*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252949 is divided by 398.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4337*i + 12994. Determine x(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 84?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 0*x)*(-x + 0*x - 9*x)*(2 + 6 - 3)*(-7 + 7 - 3*x).\nAnswer: -300*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153)*-1 + sqrt(153)))\/(sqrt(9) + (sqrt(441) - -1*sqrt(441))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1110, -2387, -3664, -4935, -6194, -7435, -8652, -9839?\nAnswer: -10990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 5, m: 3, k: 6, i: 3, y: 1}. Give prob of picking 2 m, 1 y, and 1 h.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p*x**4 + 3*p*x**3 + 3*p + 2*x**4 + 3 wrt x.\nAnswer: -36*p*x**3 + 9*p*x**2 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*6*sqrt(80))**2 - (sqrt(1960)*2 + sqrt(1960))\/(5*sqrt(32)\/sqrt(4)).\nAnswer: -21*sqrt(5)\/5 + 25916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79144978 a multiple of 2703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10428)\/(-10) + 84\/(-105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011100 (base 3) to base 8.\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -831 times 2.412?\nAnswer: -2004.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*1)\/(sqrt(28)\/(sqrt(49)\/sqrt(7))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/8*(-12)\/(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/65 + -254\/195. What is the nearest to -0.1 in -1, -3\/7, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732982.\nAnswer: 2, 19, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Suppose -7*u = -2*u + 20. Let p be (-10)\/u + 2\/(-4). Let x(f) = 4*f**2 - f**p - f**2. Calculate x(d(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -78, -117, -156?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2726\/26 + (-22)\/(-143). What is the common denominator of z\/(-7)*(38\/18 - 3) and -61\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 9*q + 4. Let w(s) = -s**2 + s. Calculate t(c) + 6*w(c).\nAnswer: c**2 - 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 12*d + 8. Let l be r(-4). Let g be (4 - (l - 18)) + -6. Solve 4*c + x + 15 = 0, 3*x - 30 = 5*c + g*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89741367?\nAnswer: 3, 547, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 46 = y + 5*o, 4*y + 2*o - 68 = 0. What is the remainder when 67 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.9 - -20. What is the nearest to 0.1 in 2\/9, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/(-16))\/(((187\/88)\/(-17))\/(1\/6)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 401 = 1889. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(2\/21)*t*t**(1\/4)*t\/(t*t**(-2\/3)\/t)*t*t\/t**(-1\/9) assuming t is positive.\nAnswer: t**(1747\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 + 3 + -28 + 77?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 92*z. Let t(m) = 95*m + 1. Determine -4*i(c) + 3*t(c).\nAnswer: -83*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 5}. What is prob of sequence rrrh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 5*t + 157603 - 157309 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.11 + 12. Let l = -2.11 - m. What is the nearest to -8 in 4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6829, 25826, 56991, 100324?\n\"Answer: 6084*q**2 + 745*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 16*j + 124 = -22*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4575 + 4580. Which is the third smallest value? (a) -1\/5 (b) 77\/6 (c) 1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374695?\nAnswer: 5, 251, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 19. Let r be (30\/9)\/(t\/(-18)). What is r rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -1, 20, 43, 68, 95?\n\"Answer: k**2 + 16*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.01 - 0.01. Which is the second smallest value? (a) x (b) 0.5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let w be (-1)\/((-4)\/(-6) - 1). Let x(s) = s**2 + s**2 + 2*s**2 - w*s**2. What is m(x(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128479563706205 - -0.05?\nAnswer: 128479563706205.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 11\/5 (c) -0.1 (d) 2\/7 (e) -337 (f) 44 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8855*k + 8986*k = -4716 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let k(q) be the first derivative of q**4\/4 - q**3 - q**2\/2 - 4*q - 7. Let z be k(4). Calculate the greatest common factor of z and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -124, -131, -140?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4 + 557*x**3 - 75378*x**2 + 3331660*x - 28254248 = 0.\nAnswer: 11, 82, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106689109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 1 - (sqrt(40)\/sqrt(32))**2.\nAnswer: -1\/4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113552 - 113552 - 98*d to k + w*d and give w.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 55, 0.6, -2, -0.1, -5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 11. Suppose -5 = -v*z + 52. What is the third derivative of z*j**4 - 3*j**4 - 14*j**2 - 41*j**3 + 41*j**3 wrt j?\nAnswer: 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8345057 rounded to 2 decimal places?\nAnswer: -7.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 38*j**2 + 76*j - 127. Let a be w(36). Solve -a*t = 42 - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 37 = 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(180) - (sqrt(180)*2 + sqrt(180)))*-3 + sqrt(180) - (-2 + sqrt(125) + sqrt(125) + -2)*-5)**2.\nAnswer: -4600*sqrt(5) + 42945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.41352 to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-48)*(-208)\/260?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00979 - 0.50979. Which is the second biggest value? (a) 268 (b) v (c) -4 (d) -0.4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11057833\/1616 + 312030\/101. Let m = 3757 + a. Find the common denominator of m and -31\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h + 96. Let d be v(0). Let g = d - 23. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10378, -20643, -30906, -41167?\nAnswer: -51426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*v**2 + 223*v**2 + 231*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g + 127. Calculate the remainder when q(-19) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2264834\/3 or 754944?\nAnswer: 2264834\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + j**2 + j - 2. Calculate c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.5101599 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 2d0ee?\nAnswer: 2d0df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 1 = -15. Let p(t) = 6*t + 10 + 11*t**z + 7*t**2 - 17*t**2 - 5. Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-18 + -12 + 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2713950 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 + -0.29. Let l = -1.6 + 3.6. What is the nearest to l in h, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -648 + 692. Calculate the smallest common multiple of 68 and a.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, n: 3, p: 2, z: 2}. Give prob of sequence pzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejyy when four letters picked without replacement from jjyejjyyyyjyjyyyjjj.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -215*72\/(-10200) + 14\/(-10). Solve -w*s**3 - 10\/17*s**2 - 8\/17*s + 0 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.4, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 divided by -97?\nAnswer: -719\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4160253 to 3 decimal places.\nAnswer: 1.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from udhmmyhmuhdmhhmmmum.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 - 1764*w**2 - 1767*w = 0.\nAnswer: -1, 0, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times 142467.1?\nAnswer: -8263091.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 7}. What is prob of sequence zuuz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 10*(-20)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1093695 divided by -17\nAnswer: -64335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6830 - -7480. List the prime factors of c.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.3 (b) 0.2 (c) 1\/2 (d) 1144 (e) 4 (f) 1\/192\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306610 is divided by 2878.\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0435 rounded to 3 dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 13*y**3 - 7*y**2\/2 - 9*y + 2. What is the hundreds digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/12 + 608\/64.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjj. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 7:48 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97\/582)\/((-10)\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251.7 + -251.7. Let z = -23 + 5. Let d = -31 - z. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -93?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*a - 144250 = 187*a. Round a to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311 - 579 + 311 + 28*d**3 wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 times -1\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Let r(w) = 4*w - w + v*w. What is the tens digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z)\/z)\/z*z)\/(z\/z**(-3\/2))*(z**(-38))**(2\/79) assuming z is positive.\nAnswer: z**(-1337\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -3, 524 in descending order.\nAnswer: 524, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0, 162007, 1, -4 in decreasing order.\nAnswer: 162007, 1, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61, 61, 73, 103, 157, 241?\n\"Answer: p**3 - 7*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 + 89*s**2 + 3*s - 23. List the prime factors of t(9).\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 1*(0 - -1). Let r(v) = v**3 + 11*v**2 - 14. Let l be r(-11). Let a = k - l. What is the highest common divisor of 20 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8*4*-1. Let d = u - -4. Solve -d*q + 3*v = -24, -5*q + 13 = -v - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3a?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/33 (b) 17 (c) -114856\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*k = -1261*k + 2523*k + 256 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4 (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19445 + -19438. Solve -4*i + 10 - u = -5*y, 4*i - 4*y = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-244)\/(-8) + 2\/4. Suppose 4*u + 23 = d. Solve r - 3*r + 5*x = -21, -2*x - 14 = u*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:23 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) -1\/6 (d) -1076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6419028 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*-3*(-16)\/(-12). Solve -2*r - r = -2*g + 17, 3*g = d*r + 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -19. Let t = g - 10. Is -1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2 + 2 + (-1 + 4 - 4)*(0 + y + 0) - 1 - y + 1 + (4 - 4 - 1)*(3*y - y + 0*y) + 3*y - 5*y + 0*y + 3 - y - 3 + 193 + 46*y - 193 + 5 + 7*y - 5.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 40. Suppose -2*l - 5*d + y = 0, 2*l + 3*d = 3*l - 11. Let z = 35 - l. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 5. Let q = 10 + 5. Suppose g + 6 - q = 0. Calculate the remainder when g is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -29. Calculate the lowest common multiple of (y\/25)\/((-2)\/10) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*u**6 + 22*u**2 + u**4 + 0*u**4 - u**4 wrt u?\nAnswer: -1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20 and -73\/5715.\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*h + 7*h. Let x be ((-6)\/4)\/(9\/h). Suppose 3 = -0*d + 3*d. Solve d = x*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicqfifipi. Give prob of sequence pf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d + 5. Suppose 39*w + 25 = 44*w. Let f be r(w). Solve f = 3*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32b6 - -c76?\nAnswer: 425c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2. Let w(x) be the third derivative of -x**4\/6 - 17*x**2. Calculate s(w(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 91*z**2 + 91*z + 114. Give s(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 110 - 198 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -39058176.\nAnswer: 1\/9764544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/6*285\/(-38). Let d = -66 + a. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6605 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4273591668.\nAnswer: 2, 3, 356132639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/60 - h**4\/12 + h**2 - 2126*h. Give m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.7485792 + -0.01?\nAnswer: 27.7385792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 10488024?\nAnswer: -31464072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**3 + 22 + q**3 - 177 + 3*q**3 + q**3 to the form z*q**3 + h*q + u*q**2 + s and give s.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 4*a)*(-27 + 12*a**3 + 27) + a**4 + 5*a**4 - 5*a**4 + (-1 - 5 + 4)*(a + 2*a**4 - a) + 0*a - a**4 + 0*a.\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21396 - -21474.0264. Let y = 78 - r. What is y rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 474 or 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 + 14*b**2 + 14*b**2 + 2 - 7899*b.\nAnswer: 2*b**2 - 7899*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(50\/60)\/((-5)\/70). Let j be s*((-22)\/45)\/(-11). Factor -j*a + 10\/9*a**2 - 2\/9*a**3 + 2\/3.\nAnswer: -2*(a - 3)*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 34 = -4*q, -3678 = q + 5*b - 3681 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/(1422\/84)*1*-15\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 v be (-266)\/(-57)*(-2 - 28\/(-8)) + 3. Let k(l) = -2*l**3 - l. Let j be k(-1). What is the least common multiple of 2 and (-8)\/j*(-135)\/v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/21 and 50\/71.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k = 229*k - 107*k - 4067 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -17*n**5\/60 - 11*n**4\/24 - 18*n**2. What is the second derivative of u(m) wrt m?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*b + 2128 + 11171 = 258*b - 367*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819918 divided by -9999.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2421189 - -117292?\nAnswer: 117292.2421189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 14*d**2 - d - 16. Let n be l(-14). Let z be n - -9 - 4 - 67. What are the prime factors of 3 - (-6)\/(-2) - z - -2?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 j when four letters picked without replacement from jxjllxmml?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (11 - 6) - (-10 + -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161.9999868 - -162. Round c to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 1 = r. Let j(f) be the second derivative of -5\/2*f**2 - 1 + 7\/6*f**3 - 1\/4*f**4 - 5*f. Let i(m) = 8*m**2 - 20*m + 14. Determine r*j(q) - 4*i(q).\nAnswer: q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 0.1, -0.4, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 19 = 2*n, 4*x - 6*n - 44 + 12 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*g + 7, 3*p - 6*g = -10*g - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-3) + (-42)\/(-21) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -0.1 (c) -1\/7 (d) 1\/3 (e) -80\/3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -68, -245, -600, -1193, -2084?\n\"Answer: -10*z**3 + z**2 + 8*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r - 10. Let n be p(-3). Let w be n - (-4)\/12 - (-6)\/9. Which is greater: 1.5 or w?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1285 divided by 3\nAnswer: -1285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 31*s - 3. Let j be p(-3). Let q = -49 - j. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6925962 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b + 1. Let q(p) = -14*p - 1. Suppose 246 - 478 = 4*m - 252. Determine m*q(o) + 6*s(o).\nAnswer: 14*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -161, -182, -203, -224, -245?\n\"Answer: -21*n - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-3 - -7 - 3). Find the second derivative of -3*o + 0*o - o**3 + 6*o**d + o wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 25*b - 10. Let c(g) = 24*g - 11. What is y(c(w))?\nAnswer: 600*w - 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4632, -4639, -4648, -4659, -4672?\nAnswer: -4687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 + 124. Suppose -a*b - 12 = -5*b - 3*m, b - 16 = -4*m. Suppose b = -22*c + 13*c - 2880000. What is c rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19064*o**3 + 21*o**2 - o + 5393265 wrt o.\nAnswer: 114384*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 12 = 0. Suppose 0 = 2*q - 5*q + w. Suppose 3*o = q*o - 149. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312*p**2 + 262.\nAnswer: 624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n - 41*n = 2*n - 1080 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j + 17*j - 36*j.\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 + -4187?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.74884 times -0.4?\nAnswer: -29.099536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 67. Let y(j) = 5*j + 11. Let h be y(4). Suppose -4*d - 7 = -h. Solve t = -5*k - d + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -543 + 549. Which is the closest to -1? (a) 2\/3 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -20111990\nAnswer: -301679850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 3*m + 3. Let s(q) = -4*q**2 - 2*q - 4. Let z(c) = -3*p(c) - 2*s(c). Let a be z(-4). Let k(o) = 5*o - 3. Is k(a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178155937\/385 + 462743. Let l = 2\/35 + a. Calculate the common denominator of l and 91\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3\/3 - p**2 - 22. Is 21 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23. Let b(i) = -i - 52. Let x(a) = 3*b(a) - 7*d(a). Let l(s) = -6*s + 9. What is 3*l(f) - 5*x(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -665*z**4 - 670*z**4 + 1520*z + 4 - 657*z**4 + 1993*z**4 - 2*z**2 as g*z**4 + y*z + f + v*z**3 + p*z**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 49480\nAnswer: 23\/49480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2995915, 2995888, 2995843, 2995774, 2995675?\nAnswer: 2995540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -366463 divided by -3?\nAnswer: 366463\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 1, a: 3}. Give prob of picking 1 z and 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 9 (c) -0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199934345 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) -1.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 + 62*a\/13 + 168\/13.\nAnswer: 2*(a + 3)*(a + 28)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3275)\/(-125) - 26) + 658568\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3014021334 (base 5) to base 12.\nAnswer: -20150a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18) - sqrt(2)*-3*-5)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14106 + 35506 = -157*o. Which is the nearest to o? (a) 4 (b) 2\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-378113)\/(-5253) - 72)*(1*-1 + -8).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -2\/3 (c) 0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(144)*-1).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 0, -4*b + 2*u - 18 = 3*u. Let y be -2 - (-1 + b) - 9. Let s be 6\/y*30\/(-12). Solve f = -5*i + 5, 0*i - 11 = -s*i + f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*k**5 - k**3 + 5*k**2 + 41740*k - 1.\nAnswer: 3820*k**3 - 6*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 558*w**2 - 103229*w - 156. Calculate t(185).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 - 6859745*x**3 - 2352808503120*x**2 - 2352801643380*x = 0. What is x?\nAnswer: -685974, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - j - 2276 - 12113 = 0, -5*r - 3*j = -71913. What is the highest common divisor of 105 and r?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-4 + (-28)\/(-8)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 - 9 = -r, -35 = -5*r + 3*f. Suppose r*c - 10*c = -24. Suppose 11 = c*d - 9. Is 8 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 12:40 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 1198*s**2 + 8625*s - 42. Determine k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*12\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*w, 2*t + 210*w - 423*w - 6 = -210*w - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p - 4*p + p)*(2*p - p - 2*p).\nAnswer: p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 4. Let m(w) = -w - 1. Let g be (-3)\/(-36)*2 + 222\/(-36). Determine g*m(i) + h(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 506.3 + -13.\nAnswer: 493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-3 + 3 + 2)*(3 - 5 + 0) + 0 + 2 - 3)*(2*m**3 - 8*m**3 + 0*m**3)*(0*m**2 - 3*m**2 + 5*m**2).\nAnswer: 48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaafaaaaa.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {a: 5, m: 1, y: 1, k: 1, q: 2, g: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504)\/sqrt(225))\/(sqrt(7) + (sqrt(7) + (sqrt(70)*1)\/sqrt(10) - sqrt(7))))\/((sqrt(1600)*-3 - sqrt(16))\/sqrt(4)*3))**2.\nAnswer: 1\/432450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/21*g**7 + 2*g + 1\/5*g**6 - g**2 - 1\/3*g**4 + 0 - 1\/5*g**5 + g**3. Factor w(o).\nAnswer: -2*(o - 1)**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126 or 46392?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9324 + 11461. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0 + (-3*n + 5*n - 3*n)*(4 + 1 - 4))*(16*n**3 - 806*n**3 + 1 - 63*n**3).\nAnswer: -853*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z = 52*z - 35. What is the tens digit of ((-25)\/(-2))\/(z\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839067 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(-4 - (-11)\/3). Solve 9 = 4*v - 6*v + 3*m, b*v - m + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -3. Let d = 9 + k. Let z = -6 + 5. Which is the closest to z? (a) 0.3 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.7 + -19. Let w = -0.35 - -0.05. Let i = w - c. What is the biggest value in -0.4, i, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5)*u*u\/u**(-6)*u)\/(u*u\/(u*u*u**(2\/11))*((u**(-2)*u)\/u)\/u))**(-3\/5) assuming u is positive.\nAnswer: u**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -8*q + 50. Suppose 0 = q*c - 2*u - 864, -3*u = 2*c - 5*u - 342. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/3 - 345*b**2 - 119025*b - 13687875 = 0.\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:42 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6364 + 6428. Solve -30 = -17*g - w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4\/11, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -155527221\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*i = 20, -5*i + 4*i + 3 = -y. Let t = -28.2 + 31.2. What is the closest to y in -3\/4, 5, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(832)*-2*-2 + -1 + (sqrt(832) + (sqrt(832) - (sqrt(832) - (-2 + sqrt(832))))*1 + sqrt(832) - sqrt(832) - (1 + sqrt(832)*-2)))**2.\nAnswer: -512*sqrt(13) + 53266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013848223 rounded to 4 decimal places?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 4, x: 5, y: 9, a: 1}. Give prob of picking 1 y and 1 a.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 3820\nAnswer: 114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667 a factor of 29061496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7))\/n)**(-14\/11)\/(n**(-2))**(6\/13) assuming n is positive.\nAnswer: n**(184\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8608, 36121, 81976, 146173, 228712?\nAnswer: 329593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 9*n**2 - n. Let g be v(4). Suppose 11*w - 2*w = -405. Let k be w\/18*g\/(-10). Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15965747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 + 3304*v**4 + 2732405*v**3 + 5451602*v**2 = 0.\nAnswer: -1651, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 534*i - 12. Let q be s(1). Let c = -353 + q. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 316*i**3 - 5 - 2*i - 170369*i**2 + 170365*i**2 + 2*i to the form r*i + l*i**2 + k + p*i**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3*q**3 - 6*q**3)*(4 - 5 + 2) + q**3 + 2*q - 2*q + (3*q + 3*q - 3*q)*(10*q**2 - 18*q**2 + 7*q**2).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*a - 38*a + 336 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 6:24 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7069\/18837 - 60\/299. What is the common denominator of z and 29\/12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 4)*(0*x + 0*x + 6*x) - 5*x + 0*x + 2*x + 5*x + 3*x - 4*x)*(-2 + 5 - 5*x + 3*x) in the form n*x**2 + g*x + u and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = 0, -3*l = l - 5*w - 2220. Let a = 975 - l. Calculate the highest common factor of 83 and a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 211294.9848 to the nearest ten.\nAnswer: 211290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-1173)*(-2)\/4*6.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1\/27*b**3 - 3*b**2 + 0 + 1\/54*b**4 + 0*b - 1\/90*b**5. Suppose n(j) = 0. Calculate j.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -24*d + 5. Let r(y) be the first derivative of -y**2\/2 - y - 28. Let l(h) = j(h) - 4*r(h). What is the derivative of l(k) wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112760871, -112760874, -112760877, -112760880, -112760883?\nAnswer: -112760886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35\/3 in -2\/9, -139, 2\/5, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 29, 31, 35, 41, 49, 59?\n\"Answer: v**2 - 3*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7425*f**3*y**3 + 205*f**3 + 9128*f*y**5 - 89125*y**2 wrt y.\nAnswer: -44550*f**3 + 547680*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -2. Suppose v = 2*v - 3*q - 20, -3*v + 2*q + 32 = 0. What is the highest common factor of v and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110002202110010 + 10?\nAnswer: 1110002202110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k**5 - 5*k**5 + 23*k**5 + (-k**2 + 0*k**2 + 2*k**2)*(-11*k**3 + 37*k**3 + 54*k**3).\nAnswer: 113*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from sysqqssysqy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 24*x**2 - 87*x + 87. What is s(-19)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*f - 132 = 0, -p - 4*f + 756 = 4*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 17*d + 1 = -2*f, 4*d - 1 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1199952621 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35040 + 504?\nAnswer: -34334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s**2. Let x(h) = -362152*h. Determine r(x(y)).\nAnswer: -2754235493184*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = -4*n + 116, a + 139 = 5*n. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*c - 6 + 3 = 0, 56 - 40 = 5*s - c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/3 (b) 0.2 (c) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.064, 3.\nAnswer: -0.064, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058792 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 440830 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {i: 2, h: 1, g: 1, q: 1, t: 1, k: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*48\/(-608)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 10*m + 12. Give j(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -1*-3*sqrt(192) + sqrt(192)))**2.\nAnswer: -768*sqrt(3) + 12324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-3 + 3 - d) + 2*d - 13*d - 5*d - 2.\nAnswer: -18*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**6\/360 - 7*s**5\/60 + s**4\/6 + s**3\/6 - 2*s**2 - 13*s - 5. Let d(i) be the second derivative of f(i). What is d(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 18. Let j = -48 - s. Let h = -25.064 + j. Round h to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 2*y + 65, 5*y - 20 = 0. Let h = z - 17. What is the third derivative of -34 + 3*v**4 + v**h + 34 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11120000102120 (base 3) to base 13\nAnswer: 66a146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 248\/3. Sort 2, 0, n.\nAnswer: n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, n: 1, a: 2, f: 3, y: 1}. Give prob of sequence ff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.121 (b) 4.1 (c) 3\/8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65258 is divided by 253?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6056 - 1082 + p**2 + 1591 in the form q + b*p + v*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from yhhhyyyyyhhh.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1101, 1100, 1099, 1098, 1097, 1096?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5681, -4 in increasing order.\nAnswer: -4, -2, -1, 5681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h, -5*m + 4 = 5*h - 41. Suppose -m*k - k = -24. Solve -k*v + 5 = -1, 4*v = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8459 (base 16) to base 15.\nAnswer: -a08b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.056? (a) -13 (b) 142 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*d - 3*z - z, 4*d - 2*z - 46 = 0. Suppose 0 = -d*r - 314 + 2404. What is the remainder when r is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 3. Let f be r(3). Let m(x) = x - 2. Let q be m(5). Suppose -q*i + 0*i + 15 = f. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7816 or 7815?\nAnswer: 7815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 293*a - 61. Give c(147).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 4*l - 18 + (-1 - 4 + 2)*(0*l + 2*l - 3*l) as z*l + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -3, -2\/17, -88, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20*1.12743\nAnswer: 22.5486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i + 12. Let d = 4 - 3. Suppose -7 = 4*z + 2*u - d, 0 = 3*z + 4*u + 12. List the prime factors of n(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6885 - -7229. What is the remainder when 709 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(7623\/4158).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 621 (c) -2\/148781\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.99763 rounded to two decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 4, l: 2}. What is prob of sequence ll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*z - 2, -5*o + z = -4*o - 4. Suppose -2*k = -2*h - 30, -42 = -4*k - o*h - 0*h. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*b + 96*b = -560 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1282 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*15\/20)\/(27\/6159). Let p(l) = -l**3 - l**2 + 343. Let m be p(0). Let r = q - m. What is the nearest to 0.2 in 4, r, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 + 4*v**4 - 2*v**4 + (369*v**2 + 277*v**4 - 369*v**2)*(-2 + 12 + 0) in the form j*v**3 + l*v**2 + k + p*v**4 + s*v and give p.\nAnswer: 2768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 11*u - 7. Let d be v(-12). Suppose -d*l + 128 + 82 = 0. Suppose 0 = 4*a - 46 - l. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*r = -107, -8941 = 2*r - 8889 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137 * 0.204.\nAnswer: -27.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 55 = 135. Sort h, 1, -2.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a - 3. Suppose -3*x = 4*o + 2*x - 28, -5*o - 4*x + 35 = 0. Let q be d(o). List the prime factors of (-136)\/(-14) - q\/35.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -177?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*p + 44, 8*f - 3*p - 49 = 4*f. Calculate the remainder when (130\/260)\/(1\/42) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3 - 33. Suppose 5*t - 16 = 3*u + 9, 0 = t + 4*u + s. Suppose 0 = t*x - 0*x - 84. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127234 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**3*q*w**3 - 24*j*q*w**3 + 2*q*w**3 - 2*q*w + q wrt j?\nAnswer: -12*j**2*q*w**3 - 24*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -12, 0, -3 in increasing order.\nAnswer: -12, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.008 + 40.992. Let m = -40.5 + r. Which is the second biggest value? (a) 3\/4 (b) -5 (c) m (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 305 from -2.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57\/105 + 4\/(-28). What is the closest to -0.1 in -2\/5, m, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2730)\/36*(-2)\/(-30) and 2\/50*-2 + 19\/(345800\/2716).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -327*w**4 + 171?\nAnswer: -1308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 65 = 17*v. Let z(q) = v*q - q**2 + 5 + 7*q - 6*q. What is z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20606 is divided by 1585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + 1 - (-2 + -4 - -18)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 4*i**2 - 2. Let u be r(-2). Suppose 3*h = 4*h - 2. What is the greatest common factor of h and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22*m - 10*m - 13*m. Let w(p) = -4*p. Give 17*d(f) - 6*w(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -2.4. Let o = -23 - -25. Which is the closest to -3? (a) 1\/4 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10)*u)\/u**(-12)*(u**(-2\/9)\/u)\/((u**(-2\/45)\/u)\/u) assuming u is positive.\nAnswer: u**(217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 20. Sort -2, d, -3 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1. Let b(h) = -h + 3. Let n be 2\/4 - (-5)\/2. Let j(z) = n*b(z) + 7*u(z). What is the first derivative of j(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76708, -153185, -229662?\n\"Answer: -76477*w - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13378, 22, 17, -3 in ascending order.\nAnswer: -13378, -3, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, o: 3}. Give prob of picking 1 b and 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10108 divided by 76\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279243566 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0439 - -0.3439. What is the nearest to -3 in -3, 5, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(7*(-5)\/(-140)). Let x be (6\/(-4))\/((-3)\/8). Put -1, f, x in ascending order.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -37 - 22 + 0*g + g + 54 + 2*g. Let f(u) = -4*u + 6. Determine 6*c(q) + 5*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let w(b) be the second derivative of 0*b**2 + 3 + 3*b + 11\/3*b**3. Give i(w(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 106253, 106042, 105831, 105620, 105409?\n\"Answer: -211*j + 106464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -452, -6057, -21934, -53219, -105048, -182557?\n\"Answer: -856*q**3 + 387*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(-46)\/(-4))\/(13 + -14). Let g = -65\/6 + i. Which is the closest to g? (a) -1\/2 (b) 11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*v + 13*z, -2*v - 16*z = -15*z + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-58)\/6)\/(2\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + -4) - (1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -20. Let s(j) = j**2 + 9*j + 14. Let l be s(-5). Let m(q) = -q**2 - 7*q + 6. Let b be m(l). Calculate the highest common factor of b and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and 113\/305574.\nAnswer: 611148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-18))\/(-7)*15*(-28)\/42.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2915752060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 23 + 17 = 0. Let a be 2 - -2*(-14)\/s. Do -2 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (304 + -2)\/(10 - 12). Let t = -146 - d. Suppose -5*a - 25 = -5*f - 0*a, 4*f - 5*a = 25. Solve -i = -f*i + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(298\/(-149)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*r = 3*c - 1, -2*r = -c + 4. Calculate the greatest common factor of 15 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.55 from 3.1.\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8772, 16707, 24642, 32577, 40512, 48447?\n\"Answer: 7935*n + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 913044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (28\/10*336\/(-1176))\/((-2)\/(-55))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i. Suppose -33 = -r - 30. Let w(h) = -1 + 3*h - 2 + r. Give w(g(m)).\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -1737765 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 122*m - 205. What is the remainder when 222 is divided by p(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.899 + -9.899. Suppose -3*o = -44 - 31. What is the smallest value in 0.06, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*t - 2 + (0 + 1 - 3)*(4*t + 0*t - 2*t))*(5*t + 7*t + 6*t + (-2 + 0 + 3)*(-3*t + 2*t - t) - t + 4*t - 2*t) as i + b*t**2 + y*t and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 - 4*t**4 + 2*t**4)*(12*t - t + 0*t).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 0 - 1420 = 0. Calculate the remainder when v is divided by (-54)\/(10\/(-4) - -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348302 is divided by 187.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*d**6 + 11*d**5 - 45*d**4 + 439534*d**2?\nAnswer: 1800*d**3 + 660*d**2 - 1080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 - (5 - 6) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 + 99*j - 136. Let x be f(-26). Let y(i) = -2*i**2 - 8*i - 13. Give y(x).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m + 19. Let t be h(10). Suppose -10*u + t*u - 14 = 0. Do -15 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25527, 2 in ascending order.\nAnswer: 2, 3, 25527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 66 + 78 - k - 136.\nAnswer: -k - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.01733 - -9754976\nAnswer: 9754976.01733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21576 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-167)\/(-4676))\/((-6)\/24)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7435? (a) 35.5 (b) -5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 3*w**3 - 39*w**2\/2 - w + 4. Differentiate z(y) with respect to y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**7\/280 - x**6\/360 + 2*x**3\/3 - 10. Let i(r) be the third derivative of f(r). Determine i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22810327*x**2 + 4977770*x wrt x?\nAnswer: 45620654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 165, 376, 673, 1056, 1525?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(2 + (sqrt(325)*2)**2*-3*6).\nAnswer: -701940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-3*s - 3*s + 4*s + 0 - s + 0 + (37 - 37 - 14*s)*(-3 + 4 + 0)) to the form i + j*s and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-93 - -1) + 82 + 89\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.8552 meters to micrometers.\nAnswer: 368855200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/6)\/((-10)\/(-12)). Solve -10 = 4*s - 2*i, -t*i = -s - 0*i - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 2*c**4 - 2*c**4)*(1 + 0 - 3) - c**4 + 0*c**4 - 2*c**4 + c**4 + 2*c**4 - 2*c**4.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32\/59 - 5682\/8083. Find the common denominator of -68\/9 and l.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -12, -5*m + 4*k = 27 - 83. Calculate the remainder when 56 + (5\/(-10) - 11\/(-2)) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - w + 1. Let s(r) = r**3 + 12*r**2 + 10*r - 8. Let m be s(-11). Suppose 0*b = m*b + 9. Calculate t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179835 divided by -35967.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 71, 0, 4 in decreasing order.\nAnswer: 71, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 8*i + 3. Let l be g(8). Suppose -l*w - s = -13, -5*w + 2*s - 11 = -6*w. Suppose -10*x + 7469 = -w*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(1\/(-2)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201676, 201675, 201676, 201679, 201684, 201691, 201700?\n\"Answer: i**2 - 4*i + 201679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16.35, -0.13, 0.006?\nAnswer: -16.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 0*t)*(-5*t - 2*t + 2*t) + t**2 + 0*t**2 - 2*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 12. Let t(s) = -s**2 + 16. Let d(q) = 4*g(q) + 3*t(q). Let l(v) be the second derivative of 1\/2*v**3 + 0 + 0*v**2 - v. Give d(l(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxxxmaaoxxp. Give prob of sequence op.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:15 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*g + 7 + 19. What is the greatest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 4*n**2 - 6*n**4 + n**2 + n**4. Let c(o) = 6*o**4. Let v(g) = 2*c(g) + 3*q(g). What is the third derivative of v(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12688 + 12688.05423. Round u to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, t: 2, x: 1, q: 1, u: 2}. What is prob of picking 1 q and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -34, -32786 in decreasing order.\nAnswer: 11, -34, -32786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2119*m = -2117*m - 4*v - 10562, 5*m + v - 26383 = 0. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 3, c: 4, t: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 803 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-86))\/(-3))\/((-16685)\/(-284) + -61 + 3)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 7*r - 15*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3 - 1. What is the units digit of 2*5\/5*(-97)\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-4) - (4 + -1). Let i be o\/(-14) - 48\/(-21). Suppose -628 = -5*r + 2*w + w, 2*w + i = 0. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30974 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 + 1192*t + 34337. Calculate a(-39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1988, -1992, -1996?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54\/13, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (320 - 11) + 0 + 5. Let t = x + -116. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/9*29\/(-2). Let h = 32 + t. Calculate the smallest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(96\/(-18))*4\/42\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2340 + -2339.8. What is the smallest value in 5, 2, q, -1\/3, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1329 * 2.5227.\nAnswer: 3352.6683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75422765 by 5.\nAnswer: 15084553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3915893037 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 15. Let o(u) = -1 + 1 - u**3 + 21*u - 14*u + 4. Let d be o(-3). Determine y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274724 = 6*h + 47*o + 274895, h + 11 = -2*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30824 is divided by 5133?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxuo when four letters picked without replacement from oiiimmccuccmcxocxc?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -2*u**5\/5 - 7*u**2. Suppose -r - 4 = 2*k, -4*k - 8 = r - 0*k. Let d(c) = r*c**2 - 8*c**2 + 5*c**2 + c**2. Give d(m(w)).\nAnswer: -1152*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18224989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3939, 7876, 11813, 15750?\nAnswer: 19687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11326430 (base 7) in base 9?\nAnswer: -1781845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose -4*b = 2*i - 10 - 8, -13 = -p*i + b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3*h**5\/5 - h**4\/6 - h**3\/6 + 19*h - 25. Let z(u) be the first derivative of b(u). What is z(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etftfff. What is prob of picking 1 e, 1 t, and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 0. Let m = -6 - x. Let p = m + 2.3. What is the second smallest value in p, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m + 2 - 3\/2*m**2. Find the first derivative of r(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.5 + 41.5. Let v = 4.903 - -0.097. Which is the third biggest value? (a) v (b) 8 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Let l(n) = -3*n + 10*n + 0*n + 12*n - 3. Let w be l(g). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 8. Suppose 0 = -2*i - 2 + 8. Let m be ((-2)\/i)\/(21\/(-126)). Which is the closest to 2\/9? (a) m (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -610030*g**2 - 3419*g - 2 wrt g.\nAnswer: -1220060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68456 and 1032?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 310 - (-1)\/(-1)*4. Suppose -v - 4*v + g = -4*d, 3*v - 4*d - 182 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 at least -75298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*m + 3*r, -30*m + 25*m - 5*r = 30 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -15. Suppose 2 + t = -3*s. Let l be 1\/s - (-33)\/(-12). Is -3 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 - 336?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0 + 85*j**2 + 1\/12*j**4 + 0*j + 0*j**3. Let c(u) = 220*u - 220*u + 12*u**2. Determine b(c(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 19 = -2*u, -4*u + 126*s + 23 = 121*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/40 - 7\/(-5). Suppose 276 = 4*x - x. Suppose x = -2*u - r*u. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 47, 1\/7, -98, -2\/7, 0.2.\nAnswer: -98, -2\/7, 2\/17, 1\/7, 0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 765, 784, 821, 882?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 1. Let p be o(1). Let b be ((-28)\/4)\/1*(-7 - p). Let g = 40 - b. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, p: 1, h: 2}. What is prob of sequence hjhj?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 19 - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 50 = -26. Suppose 0 = -3*h + 8 + f. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2))\/(1\/2). Let k be 2\/(-4) - (-11)\/w. Solve k*p + 8 = -v, 3*v + 4*p - p = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1016 - 625. Let z = 388 - f. What is the fourth smallest value in -0.4, z, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5598 = -154. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = -4293*k + 4299*k - 457. What is the greatest common divisor of 185 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 23. Let k(i) = -8*i + 17. Does 12 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46939 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*c + 23 - 7 = 0, -3*c = -5*w - 14. Suppose -5*k = 7 + 3. Let z be ((-3)\/k)\/(3\/10). Sort w, z, -2 in decreasing order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 545, -12, -1, -9 in descending order.\nAnswer: 545, 7, -1, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (64 + -61) - (-6 + 1 - (-1 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(589\/(-95) + 6 + 6).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/8)\/(2\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 4*m - 5*m + 5*m + 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -47. Let o = l - -27. Suppose 5*d - v + 9 = 0, -3*d - 4 = -0*d - 2*v. Sort 2\/17, d, o in decreasing order.\nAnswer: 2\/17, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2015 (b) -0.01 (c) 0.3 (d) -0.5 (e) -885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -120. Suppose 0*v - 124 = -4*v. Let r = u - v. Solve 5 = -i + r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52066 is divided by 52011?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4752)*-2 + sqrt(4752) + (sqrt(297)*2)\/sqrt(9))\/(sqrt(33)\/sqrt(3)*-5 - -3*sqrt(11)*-5).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159.7 - 159.6998241. Round b to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133060260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/(-3) + 6. Let u be 18\/(0 + 2\/1). What are the prime factors of u\/a*28\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 2)\/6*-243. Let v = -62997\/28 - -2248. Find the common denominator of (-2)\/66*u*7\/(-84) and v.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 6*r**2 + 3*r**2 + 3*r**2 + 3*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 1.1. Let f = r + -2. Let t = f - -1. Which is the biggest value? (a) t (b) -2\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837214 to the power of 1\/2, to the nearest integer?\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.1, -6, -1\/2, 1504.4, -0.3?\nAnswer: 1504.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 36*n - 7. Determine m(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - w + 3, 3*b + 4 = -b + 4*w. Let d(r) = 4. Let v(y) = 1. Let g(m) = -d(m) + 3*v(m). Let c(a) = 2*a - 2. Calculate b*c(q) - 3*g(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/28 and -5\/326.\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/2)*p\/p**(-15)*(p\/(p**(-15\/7)\/p))**44 assuming p is positive.\nAnswer: p**(2853\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l**2 + 3*l + 45. Determine j(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s + 86. Let j(q) = 47*q + 259. Determine 3*j(v) - 10*t(v).\nAnswer: v - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124432 - 444001?\nAnswer: 130431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76684705753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*n + 8 = 0, 3*n - 18 = 4*i - 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.0314 times 0.057\nAnswer: 0.3437898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -0.4 (c) 12.1 (d) 2\/197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14320 is divided by 2043?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/18)\/(154\/66)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f. Solve j - 6*j + 25 = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5369826 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ada (base 15) to base 16.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 - 6*x + 1. Let w be g(4). Let r(n) = n**2 + 7*n + 3. Let c be r(w). Solve 0 = -c*b + 15 - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -593, -895, -1179, -1439, -1669, -1863?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.6? (a) -0.5 (b) -1 (c) 0 (d) -5 (e) 0.5 (f) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000130016 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 6309 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2 - 2)*(233 + 35 - 462)*(-82 - 10*h + 82).\nAnswer: 1940*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*l - x - 18, 5*l - 5*x - 35 = 0. Suppose -8 = -l*a + 4. Let q = 7 - a. Solve q*k - 5 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-g**2 + 3*g**2 + 6*g**2).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17805 divided by -5.\nAnswer: -3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7454 divided by 12\nAnswer: 3727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 31809000 to the nearest 100000.\nAnswer: 31800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 - -312. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175255\/45384 + -19\/744. Let k = v - 8623\/610. Find the common denominator of -7\/10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Suppose 2*m + 3 = -3*k, 25 = 4*m - 3*k + 4. Suppose m*y + 239 = -2*y - o*q, -y - 50 = 3*q. Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:05 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/(-12))\/8 + -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(5 - 2*c + 4*c + c).\nAnswer: 9*c + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let k be y(5). Let m = k + -1. Let u(c) = -3*c**2 + 6*c + 6. Let o be u(3). Sort o, m, 1.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 2*r**2 + 6*r. Give v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26054.\nAnswer: 2, 7, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**2 + 5\/2*m**3 + 12*m + 0 + 5\/12*m**4. Find i such that a(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/13, 135, 7, 5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 4 (c) 0.2 (d) -5 (e) -3\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-69)\/(-9))\/((-2)\/12). What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 3 + 4 + 2 - 2*f. Let s be o(2). Suppose -2*m - m - 2*w + 12 = 0, m + 9 = -s*w. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255.268 - -220.66. What is t rounded to 0 decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.58 (b) 5 (c) -155 (d) 2\/9 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140*r**3 - 1166 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/294 and -61\/369.\nAnswer: 36162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6811543.\nAnswer: 17, 400679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16911.0001974 + 16911. What is u rounded to 6 decimal places?\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t**2 + 10*t - 7. Let m(q) = -88*q**2 + 29*q - 21. Let j(y) = 8*d(y) - 3*m(y). List the prime factors of j(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.1972nm to centimeters.\nAnswer: 0.00001731972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 3*p)*(6 - 7 - 8) + 0*p + 2*p - 3*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*s**2 - 369*s**2 + 3*s**3 + 4*s**3 - 51.\nAnswer: 7*s**3 - 707*s**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6.8*1.44\nAnswer: 9.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 4*b**2 + 0*b**2 - 3*b**2 + 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 467337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3.340334, -1\/5 in increasing order.\nAnswer: -1\/5, 0.04, 3.340334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose d + 50 = 44. Let w be (1\/2)\/(d\/(-300)). Solve 2*j + 3*m + 11 = r, 0*m = -5*m - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2 (c) -227 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 40 = -5*z. Let j = -305 + 302. Sort -20, 4, z, j in increasing order.\nAnswer: -20, j, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408 (base 11) in base 13?\nAnswer: 3b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -258 + -19a64?\nAnswer: -1a211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s - 139 = 302 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(0 + -18)*45. Suppose 4*p - 3*w + 5 = 0, -5*p - 9*w - r = -4*w. What is the third smallest value in p, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - f + 3*f = 40. What is the nearest to 111 in 3\/4, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*f = -14, 2*f = g - 5*g. Is g - ((-2 - -3) + -9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 7178 - 1607. Suppose 8*a + 131 = s. Suppose -8*x**2 + a*x**3 - 15*x - 4*x**2 - 58*x**3 = 0. What is x?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/722)\/(108\/72)*-27?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(i - 2*i - 3*i) - 3*i**2 - 2*i**2 + 3*i**2 - 6*i**2 + 0*i**2 + 8*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*t - 31 = 175*t - 252 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73758734 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109023650.\nAnswer: 2, 3, 5, 7, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3628.8 + -3629.8. Let b = -227 - 27. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -235. Let n = 65 - i. Let x = -47 - n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18137549, -18137550, -18137551?\n\"Answer: -y - 18137548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1183 = 4*l, -8*l + 4*l - 1189 = -j. Let q = l + 300. What is the smallest common multiple of ((-2)\/4)\/((-2)\/44) and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.2, 0.9, -39, 119.\nAnswer: -39, 0.9, 1, 1.2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -68?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 598522 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = y + 4*p, -3*y = 2*p - p - 129. Let d = y - 13. Let t = 49 + d. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = 228. What is the remainder when q is divided by (2 - 4)*(-10 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.813973 and -0.763378.\nAnswer: -5.577351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -3*z + 2*u, -5*u - 10 = -z. Suppose -5*y = -g + 647, z = -4*y - 0*g - 5*g - 535. What is the units digit of (-6)\/21 - y\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -5, -2, 4 in increasing order.\nAnswer: -7, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38299 and -4.\nAnswer: 38295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c + 93*c + 5*c**2 + 244*c + 4*c**2 + 8*c**2 to the form q + g*c + z*c**2 and give g.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((-9 - 0) + (12 - -6))) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*u - 64 - 4, 0 = -3*v - 4*u + 41. Suppose 29 = -4*m - v. Let q(a) = -a**3 - 11*a**2 + 10*a - 13. Is q(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(2\/7)*y)**(-1\/5)\/((((y\/(y*y**(-2)))\/y)\/y)\/y**0))**(2\/37) assuming y is positive.\nAnswer: y**(-38\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - b. Let c be (-4)\/14 + 6\/21. Let q = 2 - c. Let a(h) = -2*h**2 + 3*h. Let i(g) = -g. Let o(f) = q*i(f) + a(f). Calculate 3*n(j) + 5*o(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Suppose -6151 = -13*s + 3170. Let j(u) = s - 23*u - 717. What is j(a(o))?\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 7. Suppose 2*z + 2*j - 20 = -2*j, -2*z - 2*j + 14 = 0. Let b be y(z). Let o be b + -2 + 20\/4. Solve -3*t + 28 = 4*f, -o*t - t = f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.119 + 38.399. Let q = 41.3 + -2.3. Let g = o - q. What is g rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 947*d - 230 = 952*d, 114 = 2*y - 3*d. Calculate the smallest common multiple of y and 552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let b(n) = 1209*n**2 + 52*n - 4. Let a(p) = -1208*p**2 - 39*p + 3. Let h(c) = 4*a(c) + 3*b(c). Determine l(h(z)).\nAnswer: 1452025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 288\/7 or 40?\nAnswer: 288\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - -8) + -3)*(-345)\/(-2). Let r be ((-34)\/(-10) + -3)\/(3\/j). Let k = r + -28. Calculate the smallest common multiple of k and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - sqrt(12)\/(sqrt(6) + (sqrt(6) - sqrt(24)\/sqrt(4))))**2 + (sqrt(2)*2 + -5)**2.\nAnswer: -20*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 2, v: 4, o: 5, d: 4}. Give prob of sequence dv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -35*a**2. Let x(z) = 73*z - 41. Calculate x(c(v)).\nAnswer: -2555*v**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3156.07317 + -3156.2. Round k to 3 dps.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9713352 seconds to microseconds.\nAnswer: 971335.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(14\/(-392)). Let q = a + -11. What is the closest to 0 in -3\/4, q, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-740)\/148)\/(5\/(-3006)) is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**8\/420 - 7*o**5\/40 + 5*o**3 + 10. Let j(p) be the third derivative of i(p). Find the second derivative of j(z) wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*n + 2, 0 = -2*s + 5*n - 2*n + 10. Suppose -2*p - 3*p = -o + 23, -3*o + p + 13 = 0. Is (225 + -1)\/s - o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086530116689 plus -0.9?\nAnswer: -0.813469883311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 9. Let q be z(-9). Suppose 2*n + q + 4 = 0. Put n, -2\/7, 2 in decreasing order.\nAnswer: 2, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6*f + 22 = -3*s, 0 = -3*s + 3*f + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjrrerbrjjmmmmem. Give prob of picking 1 b and 1 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473418294 to the power of 1\/2, to the nearest integer?\nAnswer: 73983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 4*d + 8. What is r(7)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7108008 by 888501.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 2) + 5 + -27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 3*h**2 + 2307*h**3 - 15*h**2 + 11*h**2.\nAnswer: 2307*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 14 (c) -0.74 (d) -3 (e) 2\/9 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359.7647 + -6.5.\nAnswer: 353.2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -144 - 32. Suppose 4*c + 4*l - i = -c, -5*l - 44 = -2*c. Suppose 0 = -o + c + 2. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 4*a**4 - 8*a**4 + (-3*a**3 - 2*a**3 + 4*a**3)*(-4*a + 6*a + 0*a) - 2*a**2 - 6*a**4 + 2*a**2.\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -18. Let m = l + -12. Let a = 13 + m. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*7\/(-35)*90?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3673058 millennia?\nAnswer: 4407.6696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 19 + 27 - 56) + 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-22) + 13 + 319099\/121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 470.78kg?\nAnswer: 0.47078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 1, e: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**4*x - 8*h**3*x**2 + 2*h**3*x + 69*h**2*x**2 - 5*h*x**2 wrt h.\nAnswer: 144*h*x - 48*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, l: 1, v: 2}. What is prob of picking 1 g, 1 v, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a = -12*a + 102 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(-16\/9)*(b**(-2))**(-15) assuming b is positive.\nAnswer: b**(778\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -a - 4*p + 8, -2 = -p. Suppose a = t - 4*t. Suppose 0 = 2*l + 2*m - m - 13, t = 2*l + 3*m - 3. Calculate the lowest common multiple of l and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 713, 706, 697, 686, 673, 658?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:22 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 - 3*d + 212. Determine r(0).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -1156250*i**4\/3 - i**3\/2 + 3*i**2 - 23*i. Let j be c(2). Round j to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/22*(-5)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 + l**3 + 3*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.67059 - 0.17059. Is 891 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2450 and 7530614.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:42 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (32 - 18 - 51)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - g**3 - 3*g**3 + (0*g**3 - 2*g**3 + 0*g**3)*(-3 + 1 + 0) + g**3 + g**2 - g**2)*(-151*g + 2928 - 2928).\nAnswer: -604*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-9 - (-14 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -16623 (b) 2\/5 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmqqmp. Give prob of picking 1 q and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-31) - (-117 - 39 - -151)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 334, 480, 592, 658, 666?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighty-seven fifths of a meter?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 40 = 3*o, 969*m + o - 20 = 966*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219814, 219817, 219820, 219823, 219826?\nAnswer: 219829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v. Let u be 14*4 + 2*(-1 + 0). Let b(i) = 54 - i - u. Determine b(w(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkaakkakkak. Give prob of picking 1 k and 3 a.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(-70)*-2 + 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 3580*t**2 + 1769024*t + 145316544.\nAnswer: 2*(t + 102)*(t + 844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17658 is divided by 8823.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(300) + (sqrt(300) - (3 + 0 + sqrt(300) + sqrt(300))) - (2*sqrt(300)*-5 - sqrt(300) - sqrt(300))**2*4) + -2 + 3.\nAnswer: -172807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70712, -70586, -70456, -70322?\nAnswer: -70184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 9 (c) -0.1 (d) 12.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4))\/sqrt(11) - sqrt(720)*-1 - (sqrt(5) + 1 + -3 - ((sqrt(140)\/sqrt(4))\/sqrt(7))**2).\nAnswer: 7 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84049 + -84045.79178. Let r = 3.058 - l. Let h = -0.15 - r. What is h rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/224 and 17\/40.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 2 + 184\/(-48) + 19?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-49566)\/(-8))\/3*4. Suppose -44*r + 55*r = s. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 7*j**7\/15 - 47*j**3\/2 + 8*j**2. What is the first derivative of r(t) wrt t?\nAnswer: 392*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 7*z + 7*z)*(0*z - z + 4*z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 14*f + 1. Let d be v(14). Let a = 25 - 18. Put a, 3, d in decreasing order.\nAnswer: a, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + 4 + 5.\nAnswer: sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 490 + -495. Sort a, -1\/2, 1 in increasing order.\nAnswer: a, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50934 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j**2 - 5 - 94*j**2 + 5.\nAnswer: -140*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2212 by -1106.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/((-22)\/1045). Let m = j - -241. What is the second derivative of -205*q + m*q - q**2 + 11*q**2 wrt q?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7081462?\nAnswer: 2, 547, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1023 divided by 341\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d\/(d**(2\/7)*d)*(d*d\/(d**(-2\/9)\/d))**(-3\/5))**4 assuming d is positive.\nAnswer: d**(1168\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 3*y = 19*p - 9, p - 5*y + 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let b be n(3). Suppose c + 5681 = -b*z - 3921, -z - 3*c = 1926. Round z to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25179 + 4.25179. Which is the nearest to -3? (a) -0.5 (b) y (c) 13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3210100 + -11400?\nAnswer: 3143200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 8\/5*q**2 - 44\/15*q**3 - 1\/2*q**5 + 2*q + 7\/3*q**4 + 0. Let n(m) = 0. What is m?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j**3)*(5*j - j + 5*j) + (-3*j**2 + 5*j**2 - 5*j**2)*(6*j - 6*j - 7*j**2).\nAnswer: 39*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/((v\/(v**(-6)*v))\/v)*v**(-1)*v\/v**(-1\/5)*v\/(v*v**(-3)*v*v) assuming v is positive.\nAnswer: v**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**8\/112 + 5*m**4\/24 - 7*m**2. Find the second derivative of g(t) wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007 to seven dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390827 is divided by 560?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 12. Let y = l + -6. Calculate the remainder when 11 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 5\/6, 0.2, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(128) + -3 + sqrt(128) + 0) + (-3 + (sqrt(128) - (-2 + sqrt(128) + -2 + sqrt(128)) - (-2*sqrt(128) + 1)))**2.\nAnswer: 114 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -658\/2945 + 2\/155. What is the common denominator of -73\/4 and r?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 14*x**2 + x + 10. Let j(y) = y**3 + y - 2. Let o be j(1). Suppose o = -4*b + 9*b - 70. What is the tens digit of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 58*t**2 + 22*t - 670. Give x(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -0.1, -2, 0.4, 14, 0.06?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 623523.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-23 - -35) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-21))\/(6\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -118 + 31. Solve 7*n = -h + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.85 * -0.209\nAnswer: -0.80465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*s = 44, -37*s - 26 = -2*y - 35*s for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 - 92*d - 1002. Calculate z(-11).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 242\/73?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*o, 2*o = 8*u - 7*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**32\/(n\/n**(1\/4)) assuming n is positive.\nAnswer: n**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:21 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0503 - 0.0297. Let w be 2\/(-12) + (1 - 1). What is the nearest to -1 in -4, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1\/3, 1\/7 in increasing order.\nAnswer: -5, -1\/3, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127042498?\nAnswer: 2, 11, 524969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/77 + 380\/(-7). Let h = a + 131. What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - y + 11, 4*z - 15 = 4*y + 13. Solve 2*m + n = 7, m + z*m + n = 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280367549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.223 decades to millennia.\nAnswer: 7.98223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axyhxixyyxi. Give prob of picking 1 i and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -21\/20*b**5 + 0 + 0*b + 1\/40*b**6 + 147\/8*b**4 - 22*b**2 - 343\/2*b**3. Factor m(w).\nAnswer: 3*(w - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0 - 2)\/(-1). Let k be (-3)\/6*((-29)\/11 + 3). Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.27 greater than 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2417 (base 9) to base 16.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/32*(-128)\/40.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 37 = -3*o - 5, 2*o + 3*j + 23 = 0. Which is the third smallest value? (a) -2\/37 (b) o (c) -3\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 - -100. Let k(s) = 3*s**2 + s + 12. Let v be k(-5). Let n = r + v. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30380 divided by 10\nAnswer: -3038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*g, 5*g - 17 - 3 = -3*c. Suppose -3*t + c*y + 14 = -t, -5*y - 16 = -3*t. Let b = 805 + -796. Calculate the remainder when b is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 200 + 0*b + 3*b**2 - 200 - 4*b. Let u(t) = 3*t + 11*t**2 - 6*t - 4*t**2 - 6*t. Let i(d) = -6*d - 3. Let n be i(-2). What is n*h(f) - 4*u(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 41 - 8*n - 2*n + 5 - 13 + 16*n.\nAnswer: 9*n + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 17*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56a14 - 12b?\nAnswer: -56b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**3 + k - 1. Let h be p(1). Suppose h*i - 9*i + 75 = 0. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -32 + 18 + 1 + -12 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5, 0.412?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/9, 0.191, 0 in descending order.\nAnswer: 2\/9, 0.191, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*g + 915 + 1228, 4*o + g = -2155. Let v = o + 2125\/4. What is the common denominator of v and (-2)\/(-2) - 31\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i - 12*i - 147*i**3 - 13*i.\nAnswer: -147*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 9. Let d(j) = -2*j + 2. Let m(a) = -2*a + 2. Let q(c) = -7*d(c) + 6*m(c). Let t be q(s). Solve t*k - 5*u - 23 - 2 = 0, 25 = -5*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/357*-54)\/((-192)\/84).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-15) + ((-28)\/(-5))\/2. Solve 5*l - 8 = z*a + 11, 0 = a + 3*l - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1599 + 0.0391. Round m to three dps.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -613 - -889. Let o = t + -146. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81660 and 65328.\nAnswer: 326640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24465 + -729522?\nAnswer: -705057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3, 96.\nAnswer: -109, 3, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 934393926 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -7. Let w be (u\/9)\/((-7)\/3). Let v(n) = n**3 - 2*n**2 + 2*n - 3. Let d be v(2). Is w at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*1*-2*(-2 + (sqrt(243) - (2 + sqrt(243)))**2 + 4).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 71, -464, -1213, -2176, -3353, -4744?\nAnswer: -6349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(40))\/sqrt(8))**2 - sqrt(10)\/(1*sqrt(2)).\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9818 + -0.0182. What is the third smallest value in 0, d, 1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*k = 172, s + 2*k - 17 = 167. Suppose 51 = 4*a - 45. Let r = a - 4. Calculate the greatest common factor of r and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7909*b - 7898*b - 110 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*p + 219, -8*k + 6*k + 3*p = -189. Suppose -99*q + 38340 = -k*q. Round q to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/14)\/((-12)\/(-8)) - -3. Let h be 2 + (30\/10 - 4). Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0*d**3 + 0 + 0*d**5 - 47*d - 5*d**2 + 29\/30*d**6 + 0*d**4. Differentiate s(k) with respect to k.\nAnswer: 116*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -1 + 1\/3*a**2 - 1\/6*a**4 + 4\/3*a - 4\/9*a**3. Factor o(j).\nAnswer: -2*(j - 1)*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(42)\/sqrt(54) + (sqrt(105)\/sqrt(3))\/sqrt(5) + 2)*1.\nAnswer: 8 + 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 967765.6ml in litres?\nAnswer: 967.7656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402 is divided by 1125.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 85. What is the least common multiple of 426 and x(-9)?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 5*p**3\/6 - p. Suppose -130*h + 12 = -124*h. Let d(j) = 91*j + 91*j - 3*j**h - 182*j. What is d(t(f))?\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52615.\nAnswer: 5, 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1241 and 774249?\nAnswer: 773008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21343 is divided by 1657.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.49896184939964\nAnswer: 0.59896184939964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4, 226, -20, 2 in decreasing order.\nAnswer: 226, 4, 2, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470 divided by 490.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 17*l + 7. Let s be (l - 1) + 4 + (-8)\/4. Suppose 0 = 3*t - 2*u - 8991, 0*t - 2*t - s*u = -6004. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 2*o + 3*o)*(-183 - 143 - 223)*(12 + 0 - 4).\nAnswer: 8784*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -111, -377, -821, -1443, -2243, -3221, -4377?\n\"Answer: -89*i**2 + i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 2*d - 2. Let h be v(3). Let z be 2 - 2*h\/1. Solve 5*u = 5*x - 15, 3*x - 3*u - z = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -161.2. Let v = -0.2 + 0.2. Which is the closest to s? (a) -5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = -2*t, -2*d + 1 + 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0, 2\/53 in decreasing order.\nAnswer: 0.9, 2\/53, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425912168 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 456. Let d(z) = -3. Give 6*d(s) + u(s).\nAnswer: s**2 + 438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5326, -5270, -5216, -5164, -5114, -5066?\n\"Answer: -q**2 + 59*q - 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 33*i = 2*w - 82 - 6, -4 = 5*w - i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*((sqrt(5324) - -2*sqrt(5324)) + sqrt(44)))\/((3*(sqrt(24) + sqrt(96)))\/sqrt(6)) + -3)**2 + -3.\nAnswer: -68*sqrt(11)\/3 + 13607\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443 * -253626.\nAnswer: 112356318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -7*x**6\/3 + 44*x**5\/5 - 361*x**3 + 2312. Find the third derivative of z(b) wrt b.\nAnswer: -840*b**2 + 1056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 16\/4)*-8. Let a be (s\/20)\/(2*(-4)\/160). Let f be 3 - 60\/16 - (-2)\/a. Sort f, 5, 2 in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 210*x - 4949. What is b(-222)?\nAnswer: -2285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 358. Let w be s(118). Put -5, 18, -7, w, 5 in ascending order.\nAnswer: -7, -5, w, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*u + 11 = 0, -4*u + 17 = -3. Let w = 14 - 13.8. Which is the closest to q? (a) 5 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2855 = -5*x - 94, -2*r + 545 = x. List the prime factors of x.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:25 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t + 24\/5*t**5 + 0*t**2 + 8*t**3 - 8 + 0*t**4. Find the third derivative of s(j) wrt j.\nAnswer: 576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -743, -1115, -1487, -1859?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1991749 + -545504. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from fffffgffggfgffffffff?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + g - g)*(0 + 0 - 2*g)*(1 - 3 + 1).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 u when three letters picked without replacement from {z: 7, u: 3, r: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 125795.73 months?\nAnswer: 10.4829775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*3*2)\/((sqrt(288)\/sqrt(6))\/sqrt(6)) + (-2 + -2*sqrt(99))*-1 + 3)**2.\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let y = -100.1 + 91.79. Let o = y - 0.69. Do d and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 29, 73, 145, 251, 397?\n\"Answer: m**3 + 5*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/56 + a**6\/60 - 91*a**4\/12 + 7*a**2. What is the second derivative of m(x) wrt x?\nAnswer: -120*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*p + 1170*p + 29944 = -21183 - 21113 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -2*k - 4*k. Calculate the remainder when k is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d + 74*d = 106. Let n be 1*4*197\/2. Suppose -n + d = -4*j. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b**2 - 5*b + 5. Let c(x) = -14*x**2 - 2*x + 2. Determine -5*c(g) + 2*w(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 31. Let m be -1 + 0 + 2 - k. Let w be (-3)\/m*-2*1. Which is the second biggest value? (a) 1\/2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 96 = -69*s - 334 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138726 divided by -3.\nAnswer: -46242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24492 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkt when three letters picked without replacement from htjmkthmi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*k**2 + 106*k**2 - 2*k**4 + 0*k**4 + k**3 - 2*k as o*k**3 + v*k**4 + l + q*k + j*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Let v(o) = 7*o + 9. Let z(d) = -3*d - 4. Let w(r) = q*v(r) - 9*z(r). Let j(n) = 2*n. What is j(w(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 0 - (-3 - (-1 + 14 + -12))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:36 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.020398843 - 0.06.\nAnswer: -1.080398843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011001011 (base 2) to base 5.\nAnswer: -200342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24*(-2)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 2. Let x be u(-2). Solve 2*a - x*a - 4*r - 28 = 0, -3*a - 9 = -3*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 47*o**2 + 1552*o + 16. What is v(-33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**2 + 6*h + 6. Let n(k) = -3*k**3 + 19*k**2 + 6*k + 7. Let o be n(7). Let r(x) = 105*x**2 + 49*x + 49. Give o*j(a) + 6*r(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632 (base 9) in base 12?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 3*w**2 + 5*w**2 + (w**2 + 3*w**2 + 2*w**2)*(2 + 4 - 4)*(-1 + 1 - 3).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 33.\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(3 - 8))\/((-4)\/6). Let o = 0.4 - 0.2. Let w = 2.95 + 0.05. Which is the biggest value? (a) o (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b - 23*b + 12*b)*(-3*b + 2*b - 2*b)*(-5*b**2 - 12*b**2 - 4*b**2 - 13*b**2) to n*b**2 + t*b + o*b**4 + d + u*b**3 and give o.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 28 + (-75 - -7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/3 + w - 2\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 3*h - 21. Let z be y(-5). Suppose -210 = -z*w + 8*w. Solve -w = -0*u + 7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 21*x - 7. Let g be d(-5). Suppose -g*k + 2920 = -4776. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 103 = 5*a + 108, 10 = 3*a - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -22. Let j be (-44)\/(-3) - (-4)\/u. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfffqffqfff. What is prob of picking 3 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, s: 17}. Give prob of sequence sh.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, 3, -69?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 34 = -31. Let v = 8 + y. Calculate the highest common divisor of 44 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8 from 807996404.\nAnswer: 807996404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 25\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 30 = 9*r. Suppose 784 = r*a + a. Let k = 9 + 5. Calculate the greatest common factor of k and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -115*y + 630 + 88 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*r - 249*d**2 - 11*d*r + 6*d + 5*r - 1 wrt d?\nAnswer: -8*r - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 558379, 1116757, 1675135, 2233513?\n\"Answer: 558378*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(3\/23)*v)*v*v**(18\/11) assuming v is positive.\nAnswer: v**(634\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*b + 36020, -13 = -b - 17. Does 117 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1428 and 1666?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (250\/3)\/(-2 - (-3813)\/1908). What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 4*z + 2*o - 0*o, 3*o + 783 = 4*z. Suppose 57*l = 54*l + z. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647716 plus 2.41?\nAnswer: 647718.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - m**2 + 4)*(-m**2 + 3*m**2 + 0*m**2) + 1 + 12*m**4 - 4 - 21*m**4.\nAnswer: -11*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -24420*d - 390782. What is a(-16)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361.8755*0.1.\nAnswer: -36.18755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -175695.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) -1 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321255 by 3.\nAnswer: 107085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 122160209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 438*h**3 + 1332*h**2 - 1338*h + 447.\nAnswer: -3*(h - 1)**3*(h + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 154\/20 - (-35)\/(770\/(-44)) and 64\/5675.\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/22896 and 47\/224928.\nAnswer: 35763552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**3 + 578*q - 576. Calculate b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37553 > 37491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)\/b**(2\/9))\/(b*b\/b**(-4\/5)*b*b\/b**(-6)) assuming b is positive.\nAnswer: b**(-5546\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 43 + 23 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 0 + 280\/(-24) and (24\/7)\/(-4)*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2. Let r be k(2). Let g(l) = -l**3 - l**2 + l + 5. Let f be g(r). Suppose -f*i - 17 - 23 = -d, -3*i + 88 = 5*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2 + 0 + sqrt(1008)))**2 + (((sqrt(1008) + 3)*2 - sqrt(1008)) + sqrt(1008))**2*-1)*-1.\nAnswer: 336*sqrt(7) + 3056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*p + 2 - 25, a = -3*p - 15. Suppose -y - 5*f + 14 = 0, y + f + 31 = 57. Let o = y + p. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5 - 25 = -5*v, -10 = 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 16?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -214, 4, 5.\nAnswer: -214, -17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*-1*3*sqrt(99)*1)*5 + 5.\nAnswer: -135*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030944 rounded to 6 decimal places?\nAnswer: 0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 189*j**2 + 7*j - 1. Let a(k) be the second derivative of -k**3\/6 - 9*k**2\/2 - 8*k. Let g be a(-5). Is m(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-180)\/10*(-306)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 299*g - 245 + 843 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14054103 a multiple of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13380, -13336, -13292?\nAnswer: -13248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -q + 32. Let w(g) = -3*g + 2. Give w(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248.7035 minutes in days?\nAnswer: 5.033821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365 - 368. What is the nearest to 0.13 in 0.3, m, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 14*h**2 + 117*h + 24. Determine o(-20).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6232 by 152.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5249 - -2433. Let n = g - -2815.999998309. What is n rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7424 and 4292?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -8349514\nAnswer: 459223270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34719, -0.0906, 0.06 in decreasing order.\nAnswer: 34719, 0.06, -0.0906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 1 - (-255 - -231)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049485 is divided by 4447?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ab - -5?\nAnswer: 5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 35\/(-28). Let b(q) = -3 - o + q + 0. Suppose -4*f - 3 = -5*f. Calculate b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*x, 34 = 4*s + 3*x + 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w + 27*w - 69*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-391)\/69 - 2\/(-3)) + (-26)\/(-5). Which is the fourth biggest value? (a) 5 (b) -5 (c) -1\/6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30129442 rounded to four dps?\nAnswer: 0.3013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**5 - 6*k**4 - 6*k**3 + 4*k**2 - 20*k - 6. Let m(n) = n**5 - n**4 - n**3 - 1. Let r(g) = 6*m(g) - y(g). Find the second derivative of r(d) wrt d.\nAnswer: 80*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let b(w) be the third derivative of -w**7\/504 + w**4\/6 - 4*w**2. Let p(r) be the second derivative of b(r). Determine n(p(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-12)*x**(2\/13)\/x assuming x is positive.\nAnswer: x**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -415, -1537, -3773, -7495, -13075?\n\"Answer: -62*m**3 + m**2 + 51*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let l(x) = -4 + 3*x + v - 2. What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97235 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36491966 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.22, 0.3, -0.4, 0.43?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2849421 is divided by 949807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -24.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072.413 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 13*d + 9. Is p(10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 259*q**3 - 18*q**2 - 8731 wrt q.\nAnswer: 777*q**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13035 - -13054. Solve -103 = 21*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 14*f**2 - f - 5. Let i be y(-14). Suppose v - 5*o = i, -5*o + 87 = 5*v - 2*v. Let t = -25 - -48. Is t < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23242, 46483, 69724?\n\"Answer: 23241*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 - ((-1 - -4) + 1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 8 = -m, 6*d - 36 = -2570*m + 2567*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/288 and 37\/20952.\nAnswer: 83808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106021216 and 72889586?\nAnswer: 1166233376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ca - -5?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 371317519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29901892 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -16*z**5\/15 - 6*z**2. Let u(t) = 2*t**2. Determine u(w(j)).\nAnswer: 8192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and (432\/1890*42\/4)\/(9\/750).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14136790 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93042096?\nAnswer: 2, 3, 7, 67, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 42. Let b be a(-15). Let n = b - 95. What is the remainder when n is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23975 (base 10) to base 15.\nAnswer: 7185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((1 - (15 + -9)) + 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.9 + -47. What is j rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - i)*(-20 + 9 - 126)*(-2*i - 2*i + i).\nAnswer: 411*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 12 = 5*k + 4*t, 4*k - 18 = -2*t. Let m(c) = -c**3 + 9*c**2 - 10*c + 18. Let q be m(8). Factor -1\/4*h**4 + 3\/4*h - 1\/4*h**q - 3\/4*h**k + 1\/2.\nAnswer: -(h - 1)*(h + 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*f*z**3 + 3288*f*z**2 + 11*f + 4239830*z**3 wrt f?\nAnswer: -10*z**3 + 3288*z**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 c when three letters picked without replacement from zczhfzcbhbzjfc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 6806800*p - 17374697340000.\nAnswer: -2*(p - 5105100)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Let n(g) be the first derivative of -5*g - 1 - 4\/3*g**3 + j*g**2. Differentiate n(x) with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*x + 2 = 0, -17*x + 106 - 98 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 21. Let i be o(-3). Let j(k) = 13*k + 87. Let t be j(i). What is the greatest common divisor of 90 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 337*c + 3516. Determine g(-11).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -24*j**2. Let d(p) = -21*p**2 - 18*p - 18. Let y(w) = -w**2 - w - 1. Let v(f) = d(f) - 18*y(f). What is s(v(m))?\nAnswer: -216*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 9. Calculate i(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 199 = -941. Let g = s + 343. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980 divided by 245.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 84. Calculate the highest common factor of 126 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307691913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, -101, -150, -199, -248?\n\"Answer: -49*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.2 - -76. Let k = -12 + p. Which is the biggest value? (a) -0.06 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3323418?\nAnswer: 2, 3, 7, 53, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 268, 487, 724, 943?\n\"Answer: -6*n**3 + 63*n**2 + 18*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -801, -814, -829, -846?\n\"Answer: -b**2 - 10*b - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 355*l - 706. Let c be g(-2). What is the nearest to -0.1 in c, -2\/155, 4\/3, -2\/9?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1917 + 2108038237.3.\nAnswer: 2108036320.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2211 - -2207. Let l(a) = -3*a**3 - 4*a**2 + 5*a - 5. Let s(c) = 7*c**3 + 9*c**2 - 11*c + 11. Determine i*s(w) - 9*l(w).\nAnswer: -w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-344 + 344 - 5*z**3)*(-5*z + 2*z + z).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u + 1\/2*u**4 - 1\/5*u**5 + 0 + 7*u**2 + 1\/30*u**6 - 2\/3*u**3. Factor f(z).\nAnswer: 4*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + 2*o**2 + 37 + 446*o + 446*o + 452*o - 1342*o to the form s*o**2 + h*o**3 + t*o + w and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 118796 divided by 59398?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/6 - 22\/33 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01249358167 rounded to six decimal places?\nAnswer: -0.012494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1983*h + 4167*h - 2961*h + 5405*h + 5865*h to the form v + z*h and give z.\nAnswer: 14459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*b + 530*b - 174*b - 173*b = 0. Sort b, 3, 2, -2, -661.\nAnswer: -661, -2, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*x - 8*x - 2*j, -x = 5*j - 24. Suppose -z + 2839 = 5*h - x*h, -2*z + 5678 = -2*h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 + -18 - (4 + -39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2116 and 57964?\nAnswer: 30662956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9357656 + 15703656. What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306720.3ml in litres?\nAnswer: 306.7203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 7356725786.\nAnswer: 7356725785.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 950, 1877, 2792, 3689, 4562?\nAnswer: 5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 17*x + 305 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111474304 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v - 4*v)*(4*v + 337 - 2*v**3 - 164 - 167).\nAnswer: -4*v**4 + 8*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**11\/((w*w**(4\/7)*w*w*w)\/w))\/(w\/((w\/(w*w**(-3)*w))\/w)*w*w*w\/w**(-3\/2)))**(2\/15) assuming w is positive.\nAnswer: w**(41\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/24 and 20\/69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/36 and -15\/105172.\nAnswer: 946548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*u - 389*f**2 + 6*f*u + 26426*u with respect to f.\nAnswer: 4*f**3*u - 778*f + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/22 and 87\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4474, -4514, -4582, -4684, -4826?\nAnswer: -5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(10*g - 10*g - 4*g**5) + 2*g**3 - 2*g**5 - 2*g**3.\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) - (sqrt(275) + -1)) - sqrt(275)) + -4)**2 + -6*(sqrt(275) - -2*sqrt(275))**2.\nAnswer: -14825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 153141.\nAnswer: -4\/51047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7073.4*-0.2.\nAnswer: -1414.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 284, 5, 9, 4 in increasing order.\nAnswer: 1, 4, 5, 9, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 108 + 2*p**2 - 196)*(p**2 - 3*p**2 + p**2).\nAnswer: -2*p**4 + 287*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -12*b - 115, 730*b + 17 = -5*v + 728*b - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 + -6 + 6 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4*x - 4*x)*(411 - 411 + 186*x**3).\nAnswer: 186*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9683860 or 9683862?\nAnswer: 9683862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + (sqrt(240)\/sqrt(5))**2 + sqrt(48) + sqrt(48).\nAnswer: 12*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 3*u - 2 + 6*u - 3*u**2 + 2*u**2. Let c be j(-9). What is the second biggest value in c, -1.1, -0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 157?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 50*g - 234. Let q be j(-45). Find the common denominator of (-31698)\/(-13608) + 2\/q and -87\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -309 and -284 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 + 19 = 0. Suppose 5*y = d*s + 457, -4*y - 7*s + 3*s = -344. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*h + 6*z - 4, -z = 1. Let u = 6 - h. Let w = 15 - u. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*s = -391*s - 100*s - 1900 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 892705. Let y(a) = -a**2. Determine z(y(f)).\nAnswer: -2*f**2 + 892705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 846 - 845.5. Let i(x) = -x**2 - 6*x - 2. Let p be i(3). Which is the third biggest value? (a) g (b) 0.2 (c) p (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1330*h**3 - 1347*h**3 - 3068*h**3 - 4140*h**3.\nAnswer: -7225*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 255*y + 50. Let v(w) = -3*w. Give v(a(d)).\nAnswer: -765*d - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1091 - 2181 + 1109 - 2*h**2. Let n(d) = d. Determine m(n(v)).\nAnswer: -2*v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -s - 22, -c - 4*s = -5*s - 10. Is 46\/3 + (-2)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 73. Suppose 3*n + 2226 = 3*g, -4*g - 4*n + 2928 = -z*n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*m. Differentiate -3*r**2 - 6 + m + 3 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 196*r - 5864. Determine q(20).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5332 (base 9) to base 15\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -882*r**4 - 10876992*r**3 - 2071784*r**2 - 98656*r.\nAnswer: -2*r*(r + 12332)*(21*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -10*p + 31. Suppose 7*b = 4*b + 4*c + p, 0 = c + 3. Suppose 2*o = -b*z, 0*z = 5*o + 2*z + 21. What is the nearest to 0 in 0.2, -0.8, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 29. Solve 2*k - 10 = 0, -2*n - 5*k = -10 - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453916.\nAnswer: 2, 3, 17, 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224007, 223659, 223311?\n\"Answer: -348*c + 224355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5361\/70 - (-3)\/((-21)\/2). Let z = x + -76. Let j be (9\/(-21))\/((-6)\/(-4)). What is the third biggest value in z, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 286?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -4. Let t = 0.3 - 0. What is the closest to -0.1 in 2\/11, t, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -20. Suppose -b + v*h = 2*b + 3, b - 4*h = -13. Suppose -u - 23 = -5*q, -q + u = -b*u + 3. Solve -2*m = -4*i - 18, 21 + 4 = 5*m - q*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17700105 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -n, -4*q + 3 = n + 4. Let u = 4 - 3. Let z = 12 + -10. Which is the third biggest value? (a) z (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 9702318.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2153 (base 10) to base 14.\nAnswer: -adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29603*l**4 + 36221*l.\nAnswer: 355236*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n + 2915148 + 2524956 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4649 - 26777 = 529*z - 1311 + 16213 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12245, -24446, -36663, -48908, -61193, -73530, -85931?\nAnswer: -98408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 24, -147*s + 151*s = -4*u + 164. Solve -4*n - s = 5*o - 4, 23 = -2*n - 5*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x + 3. Let g be w(9). Suppose s = -0*o + o - 8, -2*o - s = -1. Let y(z) = 0 + 5 - z**o - 3 + 2*z**2. What is y(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 15. What is the common denominator of 3\/4*1962\/135 and (-2 - -3) + (-43)\/i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34697889 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.5, -182?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -10)*(-4)\/(-8). Let k(o) = 66*o - 259. Let p be k(4). Solve p = 5*d + 5*u, -v*d + 5*u + 5 = 2*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.17.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 3335250501?\nAnswer: 3335250452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5065 divided by -1013?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrbbbr. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 + 11*u - 20. Let p be n(3). Let h(w) = 71 + 2*w - w**2 - p - 4*w + 5*w. Give h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21549021863 + -647.\nAnswer: 21549021216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/3960)\/((-1)\/(-6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.159571km?\nAnswer: 3159571000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*s**4 - 200*s**3 + 228*s**2 = 0. Calculate s.\nAnswer: -57\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.02 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 2\/85 (c) 1\/4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 113*o**4\/2 - 536*o**2 + 859*o. What is the first derivative of q(w) wrt w?\nAnswer: 1356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*c + 7*c = -11, 0 = -f - c - 6. Let n(j) = -2*j**2 + 5*j**2 - 3*j - 1 + j. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 2 - ((-271)\/7 - 42\/147).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40236*b**2*u**2 + 120*b**2*u + 5478*b + 416*u**2 + 1 wrt b.\nAnswer: -80472*u**2 + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -1 - 5 - -3) + -10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 216*n + 3648. Give g(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-13)*2\/((-20)\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s - 1. Let c be y(-2). Suppose v - 3 = -3*a, -c*a + 3 = -5*v - 22. Suppose a*z + 15 = 5*z. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 2 - 4 + 0*o**3 + o**3 - 7*o. Let c(z) = -2*z**3 - 13*z**2 + 15*z + 4. Suppose -6*j + 9*j = -39. What is j*i(k) - 6*c(k)?\nAnswer: -k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n + 4. What is the lowest common multiple of 12 and k(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6232234 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7724382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21220.\nAnswer: 2, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q - 70. Let c be w(17). Solve 0 = -c*u + 98*u + 14 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.02 minus -2?\nAnswer: -32.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5326 + -706. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*7546925\nAnswer: 754692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-81) + 25\/315 - (14 - 272\/(-56)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.639644 rounded to the nearest integer?\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1 - 2 - -2). Let l be (8\/16)\/(t\/(-4)). Find the third derivative of 6*b**l + 0*b**4 - 2*b**4 - 4*b**2 - 3*b**2 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - ((-5 - 0) + 19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20504936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 8 - 18*c - 57\/4*c**2 - 7\/2*c**3. Factor l(z).\nAnswer: -3*(z + 1)*(7*z + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/24 - 4*v**3\/3 + 11*v**2 - 2. Calculate j(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -143772175 and -0.145.\nAnswer: -143772175.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 2*l - 10. Suppose 4*m + 13 = -15. Calculate the remainder when 48 is divided by y(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26244756 to the nearest integer?\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -774765648*z - 934018795 wrt z.\nAnswer: -774765648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40558731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816544089 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -13*m**4\/6 - 9*m**3\/2 + 33*m. What is the second derivative of x(t) wrt t?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1176*l**2 - 358*l - 78. Let x be j(67). Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 3.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 37837720\nAnswer: 37837719.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*r**3 + 10 + 99*r**3 - 115*r**3 - r to the form g*r + y*r**2 + t*r**3 + f and give t.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308964 and 858?\nAnswer: 44181852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 - 2*l - 17. Determine d(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/21 - 41\/84. Let z = -7\/135 - 7781\/945. Calculate the common denominator of z and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let t(y) = y - 2. Let m(n) = -3*n + 7. Let f be (-15)\/9 - (-5)\/(-15). Let h(p) = f*m(p) - 7*t(p). Determine h(s(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 12*h. Let i = -80 + -12. Let d be 2\/(-4 - i\/22). Calculate the remainder when q(d) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2412\/134*144\/(-32)*1\/(-3)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 3. Let i be m(3). Let p(b) = -b + 9. Let v be p(i). Suppose 3*u - 34 + v = -5*t, -2*u - 3*t + 16 = 0. Solve -y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16710433983 + 16710433990.6940356643. Let s = c + 62.8059640027. Let p = s - 70.5. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 3, b: 1, s: 2}. What is prob of picking 1 y, 1 b, and 2 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 + (1 - 4 + 2)*(-2 + 2 - 2) + 2 - 3 + 0 + (1 - 2 - 1)*(4 - 2 + 1))*(0*f + 3*f - 4*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 546974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**5 - 3985*k**4 + 8865*k**3 = 0. Calculate k.\nAnswer: 0, 9\/4, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-4)*192\/8568 + (-92)\/(-161).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4008699657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 456*k**5\/5 - 3*k**2\/2 - 906*k + 2748. What is the second derivative of h(j) wrt j?\nAnswer: 5472*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/5)*f*f**(-11\/4)\/f*f)\/((f**13\/f*f*f)\/(f**(4\/29)*f)))**35 assuming f is positive.\nAnswer: f**(-54453\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.084 + -82.084. Let o = z - -84. Which is the closest to 0? (a) 3\/5 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + -6 + 16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 14. Let w be d(10). Let z = -75 + w. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2666 and -12?\nAnswer: 31992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/11)\/g)\/g*g\/g**(-7)*(g\/(g**1\/g*g))**49*(((g*g*g**9)\/g)\/((g*g**(-1\/3)\/g*g)\/g*g*g*g*g*g))**(2\/59) assuming g is positive.\nAnswer: g**(12565\/1947)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k + 1. Let g be q(0). Put g, 34, -5, -3 in descending order.\nAnswer: 34, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2740 divided by 2.\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212416 is divided by 424?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21159 is divided by 347.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:11 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -533*o**2 + 0*o + 3*o - 3*o + 0*o + 2 to h*o + t + k*o**2 and give k.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572338611 to the nearest integer?\nAnswer: 23924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50116 <= 250577\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**33*q*q)**(-3\/5) assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 + 1614*r - 1. Let i(s) = -359*s. Calculate i(b(l)).\nAnswer: 359*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x**2 - 693*x - 211929. Give z(-115).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 132*k + 136*k - 4638 = 0, -4*k - 9240 = -4*w. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5*t + 1. Let q be ((-2)\/2)\/((-2)\/8). Let m be d(q). Suppose -3*v + 53 = -3*h + m*h, -3*v = 4*h - 61. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -504, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1)*2 + 10. Let b be ((-1)\/4)\/((-1)\/q). What is the third derivative of b*k**2 - k**6 - 5*k**2 + k**2 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 499, 1000, 1529, 2092, 2695, 3344?\n\"Answer: g**3 + 8*g**2 + 470*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {n: 3, u: 4, j: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 20*m**2 - 11*m**2 - 6 - 15*m**2 as y + f*m**2 + r*m and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s + 35*s - 44. Suppose -9*o + 10 = -4*o. What is the remainder when (s\/(-6))\/((-196)\/105 + o) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39764870 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1278, -4.138, -2 in decreasing order.\nAnswer: -2, -4.138, -5, -1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4853 = -46*t + 4117 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2. Let g(u) = -61*u**2 - 2*u + 95*u**2 - 25*u**2. Give g(a(s)).\nAnswer: 36*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/266, -0.5, -2\/7, 3\/7 in ascending order.\nAnswer: -0.5, -2\/7, -0.2, -3\/266, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-477)\/(-51) - -1. Let z = -2649\/136 - g. Find the common denominator of z and (-69)\/(-24) - 2\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**5 - 7*w**4 + 18*w**3 - 19*w**2 + 9*w + 1. Let t(o) = -o**2 - o - 1. Let q(g) = 3*b(g) + 3*t(g). Find r, given that q(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18449762 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - -22301101021?\nAnswer: 22301101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -157*t + 2168. Determine h(19).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/3, -0.058126, -1, -15\/2, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + k - 2. Let p be m(3). Let q = -10 + 5. Let g be 3\/q + (-13)\/(-30). Is p bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a decade?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 6*t + 120 = 0. Suppose -4*d - 8 = -t. Suppose 5*n + 10 = 0, d*n - 207 = -10*m + 5*m. What is the remainder when 83 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*x, -4*x - 7*z + 2*z + 33 = 0. Solve 0 = n - 2*f - 0*f, 0 = -2*n + 3*f + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = 5*r. Suppose r*j + 4 = 2*j. Put j, -0.5, 0.1, -0.2 in increasing order.\nAnswer: j, -0.5, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116437204 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313342 (base 6) to base 9.\nAnswer: -271758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 171444, 171411, 171378, 171345, 171312?\n\"Answer: -33*v + 171477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let g(k) = -4*k**2. Let r(b) = g(b) + 3*j(b). Let l(w) be the second derivative of 0*w**2 + 1\/6*w**3 - w + 0. Calculate l(r(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-135)\/120*(-72)\/(-14) and -87\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-9) + (-1)\/(-3). Suppose -2*m + 2 = -6. Factor -m*c + 4*c - 2*c**t.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 4)*(-37 + 46*g + 37)*(12*g**2 - 16*g**2 - 1 + 4) in the form x*g**2 + k*g + y*g**3 + p and give k.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**3 - k**2 + (-4*k**2 + 4*k**2 - k**2)*(2*k + 0*k - k) - 12 + 0*k**3 + 149*k - 147*k - 3*k**3.\nAnswer: -5*k**3 + 2*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*1 - ((sqrt(209) + sqrt(209)*-1)*6 - sqrt(209)))\/(sqrt(66)\/(sqrt(6)*1*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -0.6586494701.\nAnswer: -35.6586494701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.43 - 0.59. Let t = 0.06 + x. Let n be (8\/42)\/((-10)\/(-15)). Which is the second smallest value? (a) n (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 1030962*u = 0.\nAnswer: 0, 3092886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 419*u - 38640. Determine y(-137).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -270545033 and -0.4.\nAnswer: -270545033.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + -4 + ((-120)\/9 - -3) and 7\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 15. Let y = -4 - c. Let w be ((-1196)\/240 - -5)*8 + 13\/15. Solve -y*s = 2 + w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9858*17.\nAnswer: 167586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2)*(8*x - 11 + 11)*(0 + 3 - 1 + (-2 + 1 + 0)*(0 - 3 + 2)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 - 51\/(-12)). Sort 2\/7, -5\/4, y in ascending order.\nAnswer: -5\/4, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 51. Suppose 0 = -u*c + l - 5, 0*c - l = -c - 5. Suppose -5*b + 155 + 190 = c. Calculate the remainder when b is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 16. Let d = -13 + f. Let b(q) be the first derivative of -q**2\/2 - 4*q + 3. What is b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let u be n(3). Let b = 13 - u. What is the tens digit of 2\/b + (-53)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 3\/75982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 6*l. Let y(s) = -3*s**2 - 5*s. Let q(j) = 5*w(j) - 6*y(j). Let p(c) = 4*c**2. Determine p(q(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000245 rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:50 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 2*t. Suppose 66*h = 68*h. Let j(p) = -5 + p + 5 + h*p. Give j(o(b)).\nAnswer: 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10784 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2987934?\nAnswer: 2, 3, 497989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5 + 42*d**3 - 4 - 5*d**2 - 5 - 3*d. Let q(n) = -3*n**2 + 2*n + 1. Let v be q(-1). Let r be o(v). What is r rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a factor of 33488992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f - 68. Let n be h(-6). What is the tens digit of (-1140)\/(-27) - -3 - n\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*u**3*v**3 - 14*u**3 + 348*v**3 wrt u.\nAnswer: 27*u**2*v**3 - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6, -2*r + 8 = 5*v + 45. Let k(i) be the third derivative of -i**5\/60 + i**4\/12 - 5*i**3\/6 + 15*i**2. Let l be k(4). Is l greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 611 - -3?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 0.0112, -0.4?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 0*l = -22*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 92 = 4*v, -k - 4*k = 4*v - 128. Let x = -42 + v. Find the common denominator of x and -25\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 0*x**3 + x**3 + (1 + 0 - x + 2*x)*(89*x**2 - 1078*x**2 - 803*x**2) - x**3 + 0*x**3 + 0*x**3.\nAnswer: -1789*x**3 - 1792*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 3*c**2 - 15*c + 35. Determine i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*l**2 + 27*k*l - 186973654*k + 1993*l**2 + 33*l wrt l?\nAnswer: 2*k*l + 27*k + 3986*l + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33118, 33125, 33136, 33151, 33170, 33193?\nAnswer: 33220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 0.27. Let u = 198 - 1784\/9. Which is the closest to 1? (a) p (b) u (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2680 is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 32. Let o = 48 - p. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027935 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 + 5. Let f = u - -7. Let h = f - 4. What is the second biggest value in -5, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/(-9) + 8\/36. Let r be 4\/2 + 2 + -2. Let d be (-2)\/6 - r\/(-6). Solve 0*t + t - x = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007436877 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-521)\/5210*1*3.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185 - 185 + 12*o + 2*o**2 + (-2*o + o + 2*o)*(-o + 0*o + 0*o) + 0 + 0 - 2*o**2 + (3*o + 2*o - 3*o)*(-5 + 5 + 2*o) - 3*o**2 + o**2 + 3*o**2.\nAnswer: 4*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.08 (b) 2\/3 (c) -1.89 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1483036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 29*b**2 + 259*b + 1912. What is l(-16)?\nAnswer: -3000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + -3329c6?\nAnswer: -332987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1201 + -224?\nAnswer: a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((7 - 5) + -11 + 9)) + 8 - 57?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, g: 2, w: 1}. What is prob of sequence ggw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 701729?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30)\/(328\/(-36) - -9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143103 (base 6) in base 7?\nAnswer: -54534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 501. Is j a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 2*r - 2*k - 1110, -4*k + 2775 = 5*r. Let t = -26 + r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e25 (base 15) in base 3?\nAnswer: 11100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5*(-105)\/(-147). What is the closest to 7 in y, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 67, -1, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:31 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12072441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/45 and -52\/2585.\nAnswer: 23265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458857020049 - 0.3.\nAnswer: -458857020049.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 6*l. Let z = 21 + -15. Let g be p(z). Suppose 15 = i - g. What is the highest common divisor of 105 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11093 and -5.192.\nAnswer: -57594.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759 - 3*v - 759.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*3710\/(-4081)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3730399860 to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21978395 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/12)\/((-2)\/(-72)). Suppose -5*f + 10 = -4*q, -g + 7 = -4*q. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d (base 16) in base 8?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(966\/282)*21\/(-27)*-9?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-9)*y)*y**(-2\/3))**(-2\/53) assuming y is positive.\nAnswer: y**(-50\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 95. Let r = o - -69. Which is the second smallest value? (a) 0.2 (b) 5\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3512\/3 - 1172. Which is the third biggest value? (a) x (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -33*a - 472 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 851 + -1860. Let c = l - -1009.0003005. Round c to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/14*4\/(-3). Let c(w) = -w**3 - 4*w**2 + 4*w - 4. Let z be c(-5). Suppose d + z = -3, p = -d - 2. Sort 0.5, j, p.\nAnswer: j, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1525 (b) -1\/3 (c) -5 (d) 3 (e) -9\/16 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 576. Suppose -2*k + k = -16. Calculate the greatest common divisor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 2*c**7\/105 + c**6\/3 - 19*c**5\/15 - 182*c**4\/3 - 392*c**3 - c**2 - 500*c. Determine g so that p(g) = 0.\nAnswer: -7, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 125\/3 - 6\/9. Let z = v + 13. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 3*w + 5*t, 2*t = -4*w - t + 441. Calculate the remainder when w is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 9*a**2 - 8*a + 2. Let j be p(8). Let l = 2 + j. Let o(i) = 3*i - l*i + 0*i. Let d(v) = -2*v**2. Give o(d(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/49, -4\/5, -1, 1\/11.\nAnswer: -1, -4\/5, 2\/49, 1\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = k - 23, -38 = -3*z - k. Suppose 5*b + 26 = -4*g - 6, 0 = b - g + 1. What is the remainder when z is divided by 3*((-40)\/15 - b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -10608?\nAnswer: -10613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21090 or -21089?\nAnswer: -21089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250843782 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 7) to base 12.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22263 (base 7) to base 14.\nAnswer: -20a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0 + 2\/3*l**4 - 30*l - 1\/6*l**3 + 0*l**2. What is the second derivative of i(f) wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 4*t + 3. Let k be w(-3). Let d = k - 3. Suppose -3*v + o + 22 = 0, -2*v + 2*o = -o - d. Solve -g + 22 = 5*n, -v = -3*n - 4*g + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 236.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 6}. Give prob of picking 1 f and 1 w.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 3, -1\/2, 5, 558, 10098?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {g: 11, d: 4, s: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3266 (base 14) to base 9\nAnswer: -12852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/4401280 and 121\/839040?\nAnswer: 250872960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94000703, -94000706, -94000709, -94000712?\nAnswer: -94000715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 + 60*q - 200 = 0. What is q?\nAnswer: 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 4*g + 2. Let p be m(-3). Suppose 3*a + 0*a = -5*z + 8, -p*a + z + 32 = 0. Solve 0 = k + 3*w + 10, 0*k + k + 2*w + a = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:26 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2*o + 24 = 0. Suppose -f - 3*f = 0. Suppose o*p = -f*p + 80. 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 hundreds digit of 42481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -17152\nAnswer: 171520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936.8 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6 + 10 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794*z = 68*z - 34809 - 75049 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1\/3*a**3 + 0*a**2 + 7 + 0*a. Let l(o) = 8*o**2. Determine z(l(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207367?\nAnswer: 207367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 4*q**2 - 440. Let b(k) = 61*k**2. Determine j(b(o)).\nAnswer: 488*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13405\/6 - -2235. Let j(u) be the first derivative of 9 + 1\/2*u**2 + 0*u + k*u**3. Factor j(m).\nAnswer: m*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179136 times -17\nAnswer: 3045312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-48506)\/(-7416). Let a = -33\/103 - r. Calculate the common denominator of a and 83*(45\/(-42) - -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98532065*b**6 - 2*b**4 + 196546*b**2 - 188.\nAnswer: 11823847800*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278710\/39 - -7147. Let n = i - -1\/13. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110101110 - -10?\nAnswer: -100110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/95)\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 = -k, 15*k + 9 = 18*k + 3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8686 (base 10) in base 15?\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 64. Solve u*p + 5*o = -2, -o = 5*p - 4*o - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:27 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 13197736142?\nAnswer: -13197736138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014478 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -96. Sort 4, l, -2, 8 in descending order.\nAnswer: 8, 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9 minus 0.03978676?\nAnswer: 40.86021324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 6*r**2 - 192 + 69 + 61.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27264 and 10295.\nAnswer: 3953280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/18 and 131\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 10. Let m be o(12). Suppose -4*q - 2 = -m*u + 8, 15 = 3*u - 4*q. Suppose u*p = -3*p + 664. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271186 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1083.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a + 95. Let j be p(-6). Solve 0*h + 4*v = -2*h - 6, -5*h + 4*v = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86\/495 + 634\/495. Determine a, given that 0*a - 28\/11*a**4 - 6\/11*a**5 + 0 - 40\/11*a**3 - n*a**2 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 5. Let j = p + 1. Sort j, 1, 5 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-93486)\/16 - (-67)\/(-536))*-19 - 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -2. Let g = t + 8. What is the closest to g in 0.3, 2, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*h - 71*h - 70*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*s - 142 = 0, -l = -0*l + 5*s - 56. Let u = -79 + l. Let y(w) = 1 + u - 3 - 1 - w. Determine y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = -21*s + 41*s. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/42)\/(-4*(-20)\/(-690))\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-4)*(-1 - 38\/(-14)). What is the tens digit of (-122)\/(-6)*(p - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*v**2 - 163 + 327 - 164 in the form l*v**2 + k*v + u and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**7\/210 - q**4\/8 - q**2 + 6*q. Let i(b) be the first derivative of x(b). Find the second derivative of i(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0397 - -0.9603. Let t(p) = -p**3 + 7*p**2 - 7*p + 6. Let q be t(6). Which is the third smallest value? (a) -5 (b) o (c) q (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7779060 and 1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 10, a: 2}. What is prob of sequence ltat?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4048896 and 6073344?\nAnswer: 12146688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/24 - 9045\/(-72). Let n = -108 + 111. Suppose -2*h + n*o + 145 = -w, -5*o = 5*h - 690. What is the remainder when h is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473524 divided by -7?\nAnswer: -781932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 1. Let k = x + 1. What is the nearest to -2\/5 in 1\/5, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000807608105 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*h - 172 - 3, -3*s + 493 = -h. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 2*f**2 + f**2 + (-5*f + 3*f + 0*f)*(-2*f - 2*f + f) - 2*f**2 + 0*f**2 - 24 + f - 57 as h + r*f**2 + i*f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 e when three letters picked without replacement from vevvvvveeeevvvveeee.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 1258\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 15*t + 19. Let y be j(14). Suppose 0 = y*f + 19 - 49. Let h(z) = z + 5. Give h(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34764 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 156 = 6*f. Let w = f + -34. Suppose 3*b = 0, -4*q + w = -2*q + b. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5. Let d = f + -4. Let g = 166.4 + -168.4. Which is the nearest to g? (a) 2 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/26 - (3098\/(-26) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 343 + 227. Suppose 5*c + o = 358. Let u(k) = -c*k**2 - 890*k + 890*k. Let g(h) = -h**2. Determine g(u(s)).\nAnswer: -4096*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153660.7ml in litres?\nAnswer: 153.6607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -3*d - 5, d - 4 = 0. Suppose 3*b + 2*b + 53 = -2*t, 4*b = 4*t - f. Let m(j) = -4*j - 19. What are the prime factors of m(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -95, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/(-70) + 4)\/(4\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045772 rounded to four dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-6) + 85\/51. Sort z, -1, -9.\nAnswer: -9, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20296670 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76038434 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:18 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 75. Let o be 6\/(-4) - -2 - 141\/f. Let j = o + 27. Let x(p) = 2*p - 1. Let v(n) = -n. Calculate j*v(t) + x(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 1, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 10117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -30*s**2 - 25*s - 25. Let v(u) = -5*u**2 - 4*u - 4. Let h(c) = 4*i(c) - 25*v(c). Let m(p) = 12*p**2. What is h(m(l))?\nAnswer: 720*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -149524\/865 < -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q)\/q)\/q**(-3)*q**(-6\/11)*q**(1\/10)*(q*q**(-1))**(1\/41)\/(q**(-7)*q*q*q**(-2)) assuming q is positive.\nAnswer: q**(831\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 3*(-1 + ((sqrt(891)*2 - sqrt(891) - sqrt(891))*3 - (sqrt(891) + -1 + 0)) + -4))**2.\nAnswer: 864*sqrt(11) + 8275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 24*g**3 - 3*g**2 - 4. Let l be k(-3). Let r = l - -454. What is the units digit of (-2)\/(-11) - r\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(17 - 15))\/(((-396195)\/(-6))\/5). Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -999 + 285 = -6*c. Let m(g) = c*g + 1 - 124*g + 2 + 0. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800788 is divided by 499?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331 - -4967\/15. Suppose 0 = 4*m + m - 10. Let x be m + (23\/(-5) - -2). Which is the biggest value? (a) x (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -11.9. What is the nearest to -1 in -4, 3\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4882, -4890, -4910, -4948, -5010, -5102, -5230?\n\"Answer: -t**3 - t - 4880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 60222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6670 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 9. Determine i(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Suppose 0 = 3*q + 4*c - 30, 36 = 4*q - c + 5*c. Suppose -h = -2*n - q, 0 = 6*n - n + 15. Let a(r) = 0*r - 2*r**2 + h*r. Give t(a(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -921\/1136 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 55 = 10. Suppose -4*g + t = 5*i, 4 = 2*i - 3*g - 15. Put i, 4, 0 in descending order.\nAnswer: i, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*f - 18, 5*f - 26 = 5*d + f. Let j be 18\/315*63 - (-8)\/d. What is the nearest to j in -0.3, -2\/7, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10, 3*z = -2*z - p + 7. Let w = 22 - 241\/11. Let j = 3.5 + 0.5. Which is the closest to 2? (a) w (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, d: 2, z: 3, c: 13, q: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34273692 and 405.\nAnswer: 171368460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -x - 16. What is the common denominator of x\/(-96)*(-92)\/(-3) and 746\/308 - (-4)\/(-14)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + 2 + 16 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 5, l: 4, d: 3, h: 1}. What is prob of picking 1 r, 1 d, and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + -0.82. Let g(p) = -p**3 + 2*p**2 + p - 1. Let h be g(2). Suppose -x = 2 - h. Which is the nearest to x? (a) 8 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64988 divided by 16247\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 31*z**2 - 14*z - 22. Let x be h(16). Suppose -27 = -x*d + d. Solve -6*p = -9*p + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 + (8 - 6). What is the third smallest value in -10, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7632*p - 2066*p + 161414 = 0 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 665404071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 69207*x + 6 - 4.\nAnswer: 69207*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 3. Let z be v(3). Suppose p - 4*s = 25, -5*p + 4*s = 5 - 66. Suppose z = p*o - 14*o + 15. Solve 5*h + 8 = o*g, 2*g - 3*h + 0*h = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2042, 2043, 2044, 2045, 2046, 2047?\n\"Answer: p + 2041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*4*1. Suppose r*d - 5*d = 15, -276 = -2*h + 2*d. Let z be (-12)\/15 + h\/35. Solve -b - 1 - z = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2970\/5346)\/(50\/(-12))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2609.5 + -2609. Let n = -60\/793 - -14\/61. Put -0.1, u, n, 2\/9 in increasing order.\nAnswer: -0.1, n, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-10) - (-153)\/255)*8123\/(-2). Which is smaller: o or -8124?\nAnswer: -8124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (3\/9)\/(166\/13447992)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-24)*(-1783)\/(-3). Let s = l - -700. Let h = 1\/1444 - 2798\/361. Find the common denominator of h and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4471737 and 17084?\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 11f13e?\nAnswer: 11f13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254 + 254 + 89*y**2 to the form n*y + t*y**2 + u and give t.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z + 18 - 18)*(z - 2 + 2 + (-2 - 3 + 4)*(-4*z + 3*z + 3*z) + 33*z - 24*z - 22*z) in the form u + f*z + m*z**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1796, -1827, -1852, -1871, -1884?\n\"Answer: 3*s**2 - 40*s - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + s + s + 3*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*q - 80*q - 6 + 43*q)*(0 + 4*q**2 - 11*q**2 + 2*q + 2).\nAnswer: -35*q**3 + 52*q**2 - 2*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 + 61 = 4*u, -2*w = -2*u + 34. Suppose -4*j + 9*j = u. Solve j*k - 10 = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(3\/4)*g*g**(-4\/7)*g*g**(-9)\/g**6 assuming g is positive.\nAnswer: g**(-331\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2595)\/1730 - (-178)\/(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*d**2 - 28*d**2 + 79*d**2 - 14*d**2 to f*d**2 + o + h*d and give f.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1203 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.08 + -0.08. Let d(a) = -4*a**2 - 313*a - 1735. Let x be d(-6). What is the biggest value in 6, f, x, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235587 and 12921.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/3 (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -78 + 73 + 60 + -2 + 1. Sort 0, -3, k, -2 in ascending order.\nAnswer: -3, -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3388 a factor of 305959559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b**7 + 0*b**6 + 0*b**5 - 15*b**2 + 1\/16*b**8 + 0*b**3 - 19\/24*b**4 + 0 + 0*b. What is the second derivative of d(t) wrt t?\nAnswer: 420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let o = -262\/1173 - -56\/69. Let x = o - 56\/153. Which is the nearest to u? (a) x (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -r + 379, 8*i - 465 = 3*i - 3*r. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from pvppvpppppvppvppvv?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/5 + (0 - -14). Suppose -g - 1 = -j. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 6. Let s be h(4). Let i be (-170)\/(-8) - (-3)\/(-12). Let x = i - -45. What is the greatest common divisor of x and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.302914\nAnswer: 0.605828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/5, 0.0452, 0.81?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*r - 6 = 0, 2*a - 5*r - 37 = -2*a. Suppose -a*j + 6 = 3*h, 5*h = -0*h - 15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - g - 7 - 4 = 0, y - 8 = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/2239 and 17\/3394324.\nAnswer: 3394324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241811339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6822 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433603 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 57*b - 830. Suppose 0 = -240*r + 3999 - 1119. Determine l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 377*b**2 - 2*b + 2. Let o(n) = 755*n**2 - 5*n + 5. Give 5*k(f) - 2*o(f).\nAnswer: 375*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Let w(y) = 2*y - h*y**2 - 2*y - 3*y - 20 + 3*y**2. What is the units digit of w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 479. Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a45 - 7096?\nAnswer: 96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105473*d**4 - 6464?\nAnswer: -421892*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2932?\nAnswer: 879.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -705 + 708. Which is the second smallest value? (a) f (b) -5\/9 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2 - 6. Let n(q) = -4*q**2 + 3. Let o(l) = 3*h(l) + 7*n(l). Give o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18.40013 nanograms?\nAnswer: 0.00001840013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - w**2 - 2*w**2 - 8*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*t + 126. Solve -t = -3*o + 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2722.8525 - -2723. Round t to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**5 + 2*r**4 + 2*r**3 + 3*r**2. Let q = -3 + 2. Let p(k) = -k**4 - k**3. Let m(x) = q*d(x) - 2*p(x). What is the third derivative of m(f) wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*v - 3*v. Let m(p) = -2*p - 1. Let a(q) = q + 1. Let g(r) = -7*a(r) - 4*m(r). Calculate the smallest common multiple of 5 and g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14387809?\nAnswer: 14387809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 2:07 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221.79 - 220. Let k = -0.21 - t. What is the third biggest value in 3\/8, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 8502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.527 * 616.\nAnswer: -940.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 4}. What is prob of picking 3 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2715 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 154*k + 28*k + 0*k)*(0 - 1 + 2).\nAnswer: -2*k**3 - 126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 12:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/2)*u)\/u)**(-9\/4) assuming u is positive.\nAnswer: u**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**9\/15120 - v**8\/1680 + v**7\/630 + v**4\/4 + 17*v. Let p(b) be the third derivative of q(b). Let p(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let u = o + 6. Solve -c = u*s + 1, -7*s = -2*c - 3*s - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167305964 and 59752130?\nAnswer: 836529820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 25*u = -29344. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/22)\/(3\/(-18)). Suppose -2*i - 2*i - s*l + 5 = 0, 0 = l + 1. Solve 6*t = i*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (29 + -2)*(-4)\/3. Let i(n) = -11*n**3 - n**2 + 4. Let u be i(-2). Let w be (-9)\/k - 38\/u. What is the second biggest value in 2\/5, w, 2\/3, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 - -268. Let d = -23 + 25. What is the greatest common factor of d and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l + 14. Calculate the remainder when k(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72754456?\nAnswer: 2, 61, 149087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52138 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49829885, 49829822, 49829761, 49829702, 49829645, 49829590, 49829537?\n\"Answer: q**2 - 66*q + 49829950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:32 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (8\/(-20) + (-12986)\/1935)) + (-1)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14204*q**2 - 14205*q**2 + 28400*q**2. Let z(g) = -9*g + 2. Let a(l) = -10*l + 3. Let j(h) = -2*a(h) + 3*z(h). Determine j(s(c)).\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(2\/9)\/c)\/c*c)\/c**(-1\/3)*c\/c**(-4)*c*c*c**(2\/11))**(-3))**(-45) assuming c is positive.\nAnswer: c**(10005\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 2 - 50. Let n = -7 - -11. Suppose 0*a + 20 = a - 4*g, -n = -4*g. What is the highest common factor of a and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7152 - 22?\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869149669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + 44\/3. Let a = 31 - 29. Suppose a*o + 5*x = x, 4*o - 10 = 2*x. Calculate the highest common divisor of r and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3 + 114*a**2 + 126 wrt a.\nAnswer: 3*a**2 + 228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4995*j - 4551*j + 10191*j)*(j - j + j**3).\nAnswer: 645*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 4*x + 223. Let h(j) be the first derivative of 4*j - 3 - 2\/3*j**x + 0*j**2. Find the first derivative of h(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350529 and 2979.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 24*h - 36. What is the remainder when 230 is divided by m(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29684321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 36.5. Let w = x - 7.500078. What is w rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - -35 - (-20 - (31 - 53)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14400, 14661, 14922, 15183, 15444?\n\"Answer: 261*l + 14139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + 4.12. Let n = 3.5 - t. Sort 0.4, 1, n in descending order.\nAnswer: 1, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861321, 1722067, 2582813, 3443559, 4304305, 5165051?\nAnswer: 6025797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:26 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 = -4*j - 3, -j + 24 = -4*q. Suppose -4*z + 3*i + 233 = -0*i, -5*z + j*i + 291 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 6036*h - 6039 = 0.\nAnswer: -1, 2013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-1)\/3 - 0. Suppose q*t = 4*t - 64. Solve 5*z - 1 + t = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13212 and 2936?\nAnswer: 26424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431114 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*o - 456 = 2775 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -71\/28?\nAnswer: -71\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/48 - 27\/72)\/21*1?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(110))\/sqrt(10) + -3*(sqrt(99) + sqrt(11))).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72 + (12\/4 - 6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4 and 61\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - -386. Suppose -k = -5*j + j. Let c(z) = 2*z**3 - 134*z**2 - z + 89. Let a be c(67). What is the highest common divisor of j and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/(-60)*344\/(-2924).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 28 = g. Suppose 0 = u - 2*u + 3*l + g, 0 = -5*u - 2*l + 2. Solve -5*n + u*s = 8, -n = -5*s + 3*s + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-6*(-4)\/224). List the prime factors of u\/(-6) - 6\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1911994 by -8.\nAnswer: 955997\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 - 3*x**3\/2 - 2*x**2 + x. Let i be n(-7). Is 6 a factor of 2 - (1 + i\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 9. Let h(i) = 5*i - 8. Let s(r) = 4*h(r) + 3*u(r). Suppose 4*x = -3 + 23. Give s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - 60. Let u = -44 - r. Is 22\/(-4)*u\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 19 + 8. Let l = 13 - d. Put 1, l, 2 in descending order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7642578057 to the nearest integer?\nAnswer: 1970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-1480)\/(-40) + -17)*8.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/300 and -97\/18?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.1. Suppose 3*x + 3*i + 211 = 5*x, -x + 83 = 3*i. Suppose 3*b - x = -110. What is the nearest to -0.1 in b, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 0*m - 16 = -2*m, 4*m = -5*d - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 55*g - 82. Let q be m(-29). What is the nearest to 2\/7 in q, 4, 3\/17, 3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (4 - 3)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(2240)*-2)\/((sqrt(7) + sqrt(21)\/sqrt(3))*-4) + 3 + sqrt(180) + sqrt(180)*3 + -3 + (-2*(0 + sqrt(180)))**2.\nAnswer: 175*sqrt(5)\/8 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818488 is divided by 8645?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.05528 millilitres in litres?\nAnswer: 0.09105528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-12)\/(-2) - (-7 + 5). Suppose -3*q - 5*y + 9 = 0, y + 15 = 5*q - 0*y. Put -2, q, m in ascending order.\nAnswer: m, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(((-153)\/135)\/17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {a: 9, s: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 521*t - 4.\nAnswer: -521*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2*d**2 - 1. Let v(y) = -125*y**2 + 380*y**2 - 127*y**2 + 28*y - 114 - 129*y**2. Let p be v(23). Determine f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -4 - (-13 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-30))\/(0 - (-12)\/(-8))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(307*x**4 - 14116*x + 14116*x + (2*x**2 + 2*x**2 - 3*x**2)*(-2*x**2 - x**2 + 2*x**2)).\nAnswer: -918*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/3079, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410350203 (base 6) to base 10.\nAnswer: 7028283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1786\/3 + -595. What is the nearest to 0.2 in w, -66, 5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 + -8230?\nAnswer: -7915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -6. Suppose -w = w - d. Solve 0 = 5*v + u - 30, -3*v = 3*u - w - 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7225 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -17*c**2\/2 - c - 16. Give z(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 at least 3863\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 332*k**2 - 13871*k - 46. What is f(-49)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(17 - 17 + 3*n)*(0 - 4 + 7 + (2 + 2 - 2)*(-1 - 3 + 2))*(-4 - 2 + 5) in the form b*n + v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r*((r\/r**(-2\/5)*r)\/r*r)\/r)\/r))\/r**(-2\/13)*r*r\/(r\/(r**(-3)*r))*(r\/r**(-6))\/r*r*r)**18 assuming r is positive.\nAnswer: r**(9072\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 12*s**2 - 15*s - 46. What is x(-11)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 530604091 or 1?\nAnswer: 530604091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -1\/12 (c) -46 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + -186. Suppose 4*i + 5*a - w*a = 58, -3*a = -2*i + 36. What is the highest common factor of 60 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -102. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11811608 is divided by 2081?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 4, h: 1, u: 3, e: 8, w: 2}. Give prob of sequence ahew.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 7180224?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220726 divided by 22.\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u = -53*u - 10. Suppose -2*k + u*s = 319 - 1277, -2*k - 2*s = -966. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5 - 5)*(243*x**2 - 8*x - 246*x**2 - 33*x).\nAnswer: 6*x**3 + 82*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11605 is divided by 575.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Let f(g) = -g + 7. Let q be f(7). Let h(o) = 2*o + 3. What is the remainder when t is divided by h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l - 3. Suppose 3*a - 11 = l. Suppose 0 = 2*g + a*j - 4 - 0, -3*j = -5*g + 23. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -28. Let g(f) = f**2 - 8*f - 12. Let n be g(q). What is the greatest common divisor of n and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - z = 4*z + 7, 4 = 4*z. Let w(i) = 0*i - 2 - 1 - i + d*i. Determine w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003406 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 3*a - 5*a)*(-2*a + 0 + 0 + (3*a + a + 3*a)*(-2 + 1 - 1))*(-3 + 3 + 1).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2c778a (base 13) to base 6\nAnswer: 35341454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.654 + 0.84?\nAnswer: -1.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a307 (base 12) in base 5?\nAnswer: 3343231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30659\/420 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 481*t**2 - 15*t + 485*t**2 - 982*t**2 + 6 + t**3. What is the remainder when 156 is divided by k(17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 1. Let z be b(-1). Let i = 2\/45 + 37\/180. What is the second biggest value in i, z, -6\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:08 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/1985981923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -68117 less than or equal to -544941\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 31*b - 9. Suppose 62*w + 306 = 28*w. Let f(h) = -h**2 - 8*h - 2. What is w*f(u) + 2*n(u)?\nAnswer: 3*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -2*q**2 + 0*q**3 + 0 + 0*q**5 - 1\/3*q**4 - 2\/35*q**7 + 0*q**6 + 0*q. What is the second derivative of u(n) wrt n?\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 91 = -71. Suppose 5*f = -p*v + 1283, 670 + 615 = 4*v + 3*f. What are the prime factors of v?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 74. Sort 3, u, 0 in descending order.\nAnswer: u, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (16\/(-24))\/(44\/(-321)) and (-6)\/(-27) - 53\/522.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223671 and 18.\nAnswer: 1342026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4462 + 10414 - 5206)*((-1 + 2*k + 1)*(3 - 3 + 2) - 4*k + 4*k + k + k - 4*k + k) as v*k + h and give v.\nAnswer: 2238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.221*1.\nAnswer: -0.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 640359929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76155 is divided by 231.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 4*n**2 + 6*n - 8. Calculate the remainder when a(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 67 + 26. Suppose -s = 4*u - 58, -2*u + g*u + 2*s = 18. Calculate the highest common divisor of 350 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {s: 1, t: 1, a: 3, p: 1, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74475 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 1315*n**8\/168 + 293*n**5\/30 + n**4\/8 - 30*n**2. What is the third derivative of l(v) wrt v?\nAnswer: 157800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -406.7 + 407. Which is the closest to 0.2? (a) -0.07 (b) g (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509053 is divided by 331.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -168, -251, -332, -411?\n\"Answer: n**2 - 88*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 0, -4*p - 8 + 42 = 5*b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 97. What is the greatest common divisor of 121 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(3 + (-14)\/4). Suppose -h*b + 4*z = -18, -3*z + 5*z = 4*b - 12. Suppose -2*m + m = 3*l - 11, 11 = 3*m - b*l. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 45 = 5*l + 3*k, 2*l = -4*k - 12. Let h = -1 - -3. Suppose l*r - r + h*s - 31 = 0, 2*s = r + 3. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -135*f + 2. Let q(m) = 2295*m - 35. Give -35*i(p) - 2*q(p).\nAnswer: 135*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 18*h - 6. Suppose -16*l = -21*l + 95. Let f be a(l). Let u = 26 + f. Solve -r - u - 4 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v - 0*v. Suppose 5 = 6*q + 29. Let l be (q\/(-14))\/((-7)\/(147\/(-36))). Is v greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.0204 + 1.1814. Let l = -0.039 - j. Round l to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 31 = -19. Suppose 9*r + 4*r - 52 = 0. Calculate the greatest common factor of r and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 28*b. Solve 5*i = -b*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 58*y + 57*y - 134*y - 5 - 3 + 21*y. Suppose -q = 4*p + 1, 4*q - 31 = -q - 2*p. Calculate w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-29)\/h)\/h)\/h**(-4\/15) assuming h is positive.\nAnswer: h**(-461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-224))\/(195\/(-5005)) + -3*(-2)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34545 and 3185?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + 1bb931?\nAnswer: 1bb914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-2) + (-2)\/(-2). Suppose -128 = 19*w - 223. What is the greatest common factor of k and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029095 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 762759 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -151 (c) -3928\/19 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 521.339 minutes?\nAnswer: 31280.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*-3*sqrt(63))\/(sqrt(36)\/sqrt(4)*6 - -1*sqrt(441)) + -5.\nAnswer: -5 - 9*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232062 - -10?\nAnswer: -232052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 167150983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3751.52 - 3485. Let j = k - 266.389944. Let h = 0.13 - j. What is h rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1075? (a) 1\/4 (b) -0.51 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from addaaad.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -4*q. Suppose 5*w + q - 164 = 0. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 8. Suppose 2*d - 3 = -3*b, 82*d - 87*d = -b - 16. Let j(u) = u**2 - u + 9. Calculate d*w(p) - 2*j(p).\nAnswer: p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 + 12*v + 20. Let d be l(-7). Let j = d + 919. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 22. Let i be x(-6). Let p(l) = -l**2 + 3*l + 5. Give p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a - 22. What is w(-7)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 9*o + 125. Let x = o + 7. Suppose 4*s + 0*s - x = 0. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k**2 + 6*k + 2. Let j be ((-5)\/4)\/((-10)\/(-40)). Is v(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64 + 1 + (-70)\/7. Is t at most 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425409 + 1921734 = -19951*a for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/6)\/(-7)*(-102)\/18*2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -179942, -359890, -539842, -719798?\n\"Answer: -2*i**2 - 179942*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w - 6*w + 10*w)*(31 - 23*w**3 - 31).\nAnswer: -414*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -6523\nAnswer: 32615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 748 - 748.00601. Round l to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-45*(-8)\/320?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -4 (c) -2 (d) 288 (e) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12*h = 16*h - 20, -3*w + 3*h + 6 = 0. Solve -24*a = -23*a + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, w: 3, o: 3}. What is prob of picking 3 o and 1 w?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 286640620.\nAnswer: 859921860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9)**24)**(14\/3) assuming u is positive.\nAnswer: u**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*b + 1659995, -3248458 = 5*b - 4*u - 1173438. What is b rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -2 - -70*1. What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 times -0.82506?\nAnswer: -0.3960288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 298719745 a multiple of 2231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from {w: 4, q: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = 5. Let l(d) = 9*d**3 + d**2 - d + 1. Let s be l(1). Let h = c + s. What is the smallest value in h, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325.2 + 325.5. Let g = -0.04 - -0.04. What is the closest to -20 in i, g, 1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -468*j - 120835. Give b(-258).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1837*y + 10971. Calculate b(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132475 is divided by 86.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -312*d + 309*d + 570. Solve 9*g = 163 - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1608)\/(-10)*(-5)\/(-2). Is 9 a factor of (-32)\/(-112) - d\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + 7. Is (-9 + 0)*(f - 2\/(-6)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -39. Solve -h*z = -10 + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-2)\/(-3)*9\/((-252)\/(-56))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -20783.981\nAnswer: -332543.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1514, 2856, 4196, 5534?\n\"Answer: -u**2 + 1345*u + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -5 (b) -11698 (c) -1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/5 + 26*v**2\/5 + 24*v\/5 = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 535 + -524. Solve 3*g + 0*q + q = l, -2*g + 7 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136586357?\nAnswer: 59, 2315023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 2, c: 1, d: 1, t: 1, e: 1}. What is prob of sequence vvet?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 times 22?\nAnswer: -3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 816, 2812, 5984, 10332, 15856, 22556?\n\"Answer: 588*m**2 + 232*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4516 + 4515.931. Let q = 1.04 + -0.04. Are o and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8\/25 of a millisecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*c + 16, z = -z - 2*c + 62. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/56 + 3\/(216\/(-38))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 8*v**2 + 662*v - 44. Give x(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 14*f + 79. Let d be a(-19). Let u be (d + 15)\/((-3)\/(-9)). Sort -50, 0, u, -4 in descending order.\nAnswer: 0, u, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from yyiyyyyiiyyiiy?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + o - 1 + (0*o + o + o)*(-3 + 2 - 1) + 2*o + 11*o + 2*o)*(-2 - 4 + 4)*(6 + 2 - 3) as r*o + j and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + l + 1. Let v be g(-1). Let y be (-2)\/4*(-8)\/(-6). Let x = -7 - -2. Which is the closest to y? (a) v (b) x (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41354 - 27994. What is g rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(1\/3)*x*x*x**(-1\/14)*x**(-1\/2)\/(x**(1\/3)*x) assuming x is positive.\nAnswer: x**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -542212.5+5395.2\nAnswer: -536817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 1. Let h = k - -12. Let d be (h\/(-96))\/((-4)\/8). Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**5\/3 - 25*x**4\/3 - 590*x**3\/9 - 150*x**2 - 135*x + 8. Find i, given that h(i) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47974320 a multiple of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 20*r - 62. Calculate g(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:51 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-2)*10\/(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65597729 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -347, -335, -309, -269, -215, -147?\n\"Answer: 7*x**2 - 9*x - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221*v**2*x**3 + v**2*x**2 + 110*v**2*x - v**2 + 111741*v*x**3 + 3*v*x**2 - 52438*v - 2*x**3 + 2*x wrt x?\nAnswer: 1326*v**2 + 670446*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 867*y - 112710. Give b(130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3051 - 0.12583.\nAnswer: 1.17927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546718 divided by 2?\nAnswer: 273359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 752680673 at most 752680672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - (-4)\/8. Let m = 6 - 11. Sort m, j, -0.4.\nAnswer: m, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*m**4 - 6*j*m**2 + 26*m**4 + 3*m**2 + 3 wrt m?\nAnswer: 72*j*m + 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 33, 1\/7, 2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v**(-1\/18)\/v assuming v is positive.\nAnswer: v**(233\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 20. Suppose -r + m*r = -16. Let a be r*(-3 + 1 + 3). Is -3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 425*s**4 + 504 wrt s.\nAnswer: 1700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 39*q**2 + 46*q - 147. What is s(-40)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -129145.\nAnswer: -2712045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 - 338*u\/3 + 57122\/3.\nAnswer: (u - 338)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*1 - (sqrt(22)\/sqrt(2) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23628068*m**5*q**2 + 5*m**3*q - 858*m**2*q**2 + 8*m**2*q - 4*m*q**2 + 2*q**2 wrt m.\nAnswer: 1417684080*m**2*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-21))\/((-10)\/12). Let t = l - -22\/5. Suppose -5*g = -15, 0*u + 5*u = g - 3. Which is the biggest value? (a) u (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36182068 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: Collect the terms in -276014*n**2 - 276028*n**2 + 552012*n**2.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2934*p**2. Let v(a) be the second derivative of -a**4\/6 + 1038*a. Determine v(q(j)).\nAnswer: -17216712*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -61. Let q = -2 + 5. Is m != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 49*p\/3.\nAnswer: -p*(p + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.00315*-4\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d (base 16) in base 3?\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016236 to five decimal places.\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11832491?\nAnswer: 11, 1075681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 + -3210433?\nAnswer: -3212230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -139?\nAnswer: -4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:58 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3212010332 (base 4) in base 12?\nAnswer: -395452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 13. Let s be k(6). Suppose 13*d + 12 = s*d. Find the second derivative of 5*w + 13*w**2 + 3*w + 16*w + 8*w**d wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 - 198*j + 198*j)*(-7 + 1 + 1)*(-4*j + 0*j + 2*j + (-2 + 2 + 2)*(0*j - 2*j + j) - 4*j + 3*j - j + 2*j - 3 + 3 - 2 + 2 + j).\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2640 + 2646. Solve n - h = -4*c + 3*c, -n = 2*c - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = f - 103, f - w - 45 = 46. Let t = 125 - f. Suppose -20 = -4*a - 4*g, t = -a + 6*a - 2*g. Solve -v + 3*v = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(27) + sqrt(3) + sqrt(75) + (sqrt(75) + -1*sqrt(75))**2 + 1) + 1.\nAnswer: -36*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -868 - -868. Suppose -12*h + 15*h - 33 = u. Solve 4*b + h*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -18 = 2*s - 10. Let j(a) = 2*a + 4. Let k be j(s). Put y, k, 5 in increasing order.\nAnswer: k, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/17)*s*s*s*s*s\/s**(-1) assuming s is positive.\nAnswer: s**(101\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 68*r + 25. Suppose 3*o - 98 = -200. Let k be j(o). Solve -w - k = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10315*t**2 - 3*t + 7843.\nAnswer: 20630*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(2) + -5.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 6*v + 4. Let x be (-6)\/4 - (-48)\/32. Let g(b) = -b + 1 - 3*b**2 + 2*b**2 + 2*b**2 + x*b**2. Give -5*g(s) + i(s).\nAnswer: s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*i = -i - 18, 3*u - 2*i - 1 = 0. Suppose -10 = 2*p - 4*p + 5*m, u*p = -2*m + 34. What is the remainder when p is divided by 2\/(-2*2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*u - 2*u. Let q = -63 - -74.4. Let g = 11 - q. What is the third smallest value in u, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161280, 322558, 483836, 645114, 806392?\nAnswer: 967670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - d = -24, -3*k - 9*d + 23 = -7*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/49771 and 15\/7711.\nAnswer: 547481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 - 8*f)*(1 + 1 + 0) - 1 - 2*f + 1.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:41 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31612\/16 - (-9)\/15. Let d = x + -9852\/5. Find the common denominator of d and -11\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058435963 rounded to 7 decimal places?\nAnswer: 0.0005844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 166, -3, 0.336?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 5*l**6\/2 - 19*l**2\/2 - 4. What is the second derivative of u(a) wrt a?\nAnswer: 300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*j - 47, 2*j - 38 = -3*q + j. Let s = -8 + q. What is the third derivative of o**3 - o**3 + o**s + 0*o**3 + 5*o**2 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158.34 + -171.5768. Round i to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 33\/9079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/8*(-45)\/(-330)*-4.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvqvtccfvtuv. Give prob of sequence uc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - f - y = -14, 21*f - 15*f - 5 - 213 = -25*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*y + 369*y - 19*y**2 + 6*y**2 to m + f*y + g*y**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143725948 to the nearest integer?\nAnswer: 11989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -53. Suppose b = 5*a - 10, g - 2*g + 69 = 3*a. Let i = -28 + g. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.691, 3, -1\/4?\nAnswer: -0.691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(1*sqrt(170) + sqrt(170)))\/(sqrt(250) - (sqrt(250)*-2 - sqrt(250)) - sqrt(250)))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 13 + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694243 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 3*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12228 - 12228.000010789. Round t to 7 dps.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 3 - (-6)\/(-3)*-4. Suppose -4*j = -v*j + 44928. Let c be (-4)\/(-7)*-1 + j\/112. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841741749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4 = -5*y, 11 = 5*l - 11*y + 7*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:13 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(i + 3*i - 3*i) + 5*i - 2*i - 5*i)*(4*i - 3*i - 2*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-2)\/(-7). Suppose c*g + 12 = -4*g. Sort g, -6\/11, -1 in increasing order.\nAnswer: g, -1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306056 or -306057?\nAnswer: -306057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = -s. Let n = 2\/32589 + 32455\/2183463. Which is bigger: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -9, -30, -8, 3 in ascending order.\nAnswer: -30, -9, -8, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*o + 10, 0*l - 2*l + 10 = -4*o. Let d = l - 2. Suppose 0 = d*x, -2*h + 5 = 3*h + 2*x. Solve 4*f - h + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + (0 - 5 + 2)*(-4 + 2 + 1) - 5 - 2 + 6)*(-6*r**2 + 2*r**2 + 2*r**2).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5188 + -5155. Calculate the least common multiple of r and 16803.\nAnswer: 184833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and (275\/(-20))\/5*66\/313203?\nAnswer: 170838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 324*w**2 - 1605*w + 1. Calculate x(6).\nAnswer: 2035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 58100 times 0.145\nAnswer: 8424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let j be (6\/b - -2)*0. Suppose 4*h - 4*x - 417 + 61 = j, -2*x = 10. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 r when four letters picked without replacement from rccrzzczzrzzr.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-37)\/(-2))\/(8 - 9)*2. Let g = -22 - f. What is the second derivative of -g*q + 6*q**4 + 4*q**4 + 0*q wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0 - 12 = r, 4*s + 26 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110110 (base 2) to base 7.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 568.603 + -568. Let m = -454.54 - -454. Let u = p + m. What is u rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 672\/80*90\/(-90)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*y + 152692, 0*f + f = -5*y + 50906. Suppose 4*d - f = -9428. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -3 + 2 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.5 + 36.01. Let x = s - -1.48. What is x rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(171) + -3*sqrt(171)))\/(-2*5*sqrt(36)).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341076 rounded to the nearest 1000?\nAnswer: 341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/13834321 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54326, -108638, -162950, -217262, -271574, -325886?\n\"Answer: -54312*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.18, 1, 0.046, 6\/5, 0.1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926 + 374 = 2*j + 17*j + 179 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747 + w - 613 - 557 - 577.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.68001 months to centuries.\nAnswer: 0.008066675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673565 is divided by 247.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 135154 = 1193404. Let q = k - 124893. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:48 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51537 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2065625)\/(-16525)*((-4)\/90)\/(-1).\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/2 - 7983*f**3 - 77777953*f**2\/2 - 56079233856*f - 24674132314112 = 0.\nAnswer: -6976, -1007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 1. Let l(b) = -3. Let t(n) = 2*n. Let x be t(2). Let f = -148 - -149. Let i(w) = f*l(w) + x*u(w). Differentiate i(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 112*v - 54*v**2 - 75*v**3 + 3*v**5 + 2*v**5 + 4*v**2 = 0. Calculate v.\nAnswer: -3, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 2*-3062*(90\/18 - 40\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2673*j + 27 = -2670*j + 4*v, 14*j - 3*v = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(k - k + 2*k**2) - k**2 - 5*k**2 + 0*k**2 + k**2 + 3*k**2 - 5*k**2 + (-5 + 4 + 2)*(-2*k + 2*k - 2*k**2).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 111121012100002?\nAnswer: 111121012100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1278893 and 65\/616.\nAnswer: 10231144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*y + 42*y - 6943 - 1643 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - h - 4)*(h**2 + 3*h**2 - 2*h**2 + 4*h**2 - 2*h**2 - 5*h**2 + (2*h + h - h)*(6*h - 4*h - 4*h)).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 13*s + 120 = 0. Let r be -579*s\/120 - 2\/(-5). Let u = 109 + r. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(3\/2)\/(z**3)**37)**(-2) assuming z is positive.\nAnswer: z**223","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*t - 11*j - 17, -5*t + 2*j + 2 + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from {i: 5, c: 1, e: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.81 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 249281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66b - -7a80?\nAnswer: 7414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + -115. Solve -2*r = -10 - o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 53. Suppose -5*f = -k - l, k - f + 0 = -1. Suppose 5*x + z = 13, 3*x + k*z + 17 = 6*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 4466914?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 52*n**2 - 25*n + 17. What is the units digit of i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177.5 - -176.5. Let g = -0.2 - 0. What is the nearest to w in -0.3, 0.1, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 - p**4 + 11*p**3\/6 + 5*p**2\/2 + 2*p. Let h be o(11). What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*c + 2*s - 8, 3*c + c + 152 = -2*s + 7*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26724 less than 16712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*j - 11, -4*j - 29 = 3*r - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 2. Let b be (-12)\/(-5) - (-2)\/(-5). Let q be g(b). Differentiate v - 1 - q - 1 with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = -50*i - 139 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 3*q - 6. Let m(b) = -9*b**2 + 5*b + 10. Let r(p) = 5*a(p) + 3*m(p). Let j(n) = 37*n**2. What is r(j(h))?\nAnswer: -2738*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13*u + 95*u - 10*u + 1540 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:15 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1112, -1074, -1008, -914, -792, -642, -464?\n\"Answer: 14*q**2 - 4*q - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 65. Which is smaller: f or -27\/5?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/33)\/((-18)\/(-1683)*17)*-72?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-15040)\/(-256))\/30.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1519448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*a + 89, -3*a = -13 + 4. Suppose -6*s = -s - j. List the prime factors of 1*9 - (s + -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23249025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11005067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-376*y - 454*y + 220*y - 246*y - 379*y)*(-1 - 30 + 0).\nAnswer: 38285*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2332 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*j - 10 - 0, 4*j - 2*z = 40. Sort 4, -5, j in descending order.\nAnswer: j, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8)*(-196)\/(-294).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. What is the smallest value in n, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00288516243 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -36, -68, -116, -186, -284, -416, -588?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 5475 + 5475 + w**2. Let v be b(2). Solve y + 21 = -3*q + v, 2*y = q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/(g*g**(-1)*g)))**(-5\/3))**24*g\/(g**(-1\/4)\/g)*g*g*(g*g**5\/g*g*g)\/g*(g\/((g**(1\/2)*g)\/g))**(-40) assuming g is positive.\nAnswer: g**(-199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59, -32, 35, 160, 361, 656, 1063, 1600?\n\"Answer: 3*r**3 + 2*r**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - 15*o - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 16*z + 22. Give o(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 754 + -1469. Find the common denominator of -127\/36 and q\/66*(-4)\/10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-23\/5)*v**(-3) assuming v is positive.\nAnswer: v**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23114 or -23108?\nAnswer: -23114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 453, 1111, 2041, 3249, 4741, 6523, 8601?\nAnswer: 10981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -6419, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 36 = -4*d. Suppose -4 = 5*g - y - d, 11 = 3*g + y. Let -8\/7*x**3 + 8\/7*x**5 - 2\/7*x**g + 2\/7*x**4 + 0 + 0*x = 0. Calculate x.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1686*s + 600*s - 433*s + 5*s.\nAnswer: 1858*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*-2)\/((sqrt(500) + sqrt(20))\/sqrt(5) - sqrt(4)) + -3 + sqrt(8)*-2*-3.\nAnswer: -3 + 38*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8440, 34088, 76822, 136630, 213500, 307420?\nAnswer: 418378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + x - 2, -3 = 5*x + 2. List the prime factors of f + 2 + -1 + 12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -2) + (102 - (62 - -11))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-5))\/(8\/(-20)). Let g(w) = -6*w - k + 2 + 5 - 5. Is 10 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03234 rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 6. Let q(k) = 6*k - 4. Let x(u) = -11*u + 8. Let r(z) = 5*q(z) + 3*x(z). Calculate 7*r(c) - 5*s(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86578 and -6654685.\nAnswer: -6568107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94226 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (-10 + 14 + 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0766922 to three decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*o + 9 = 0, 3*o + 15 = -5*f - 0*o. Let m = 12 - f. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, -3, -4, 4, 988.\nAnswer: -40, -5, -4, -3, 4, 988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 + n - 7. Let s be q(5). Let t be (-4 - -1) + ((-8)\/s - -5). Let j(z) = -4*z**2 + 7*z + z**2 - 6 + 2*z**2. Give j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 - 1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/5*(-25)\/30. Suppose 4*s = b*x - 17, 0*x + 2*s = -4*x - 2. Solve 0 = 4*n + x - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(19) + sqrt(2299)*-6)**2.\nAnswer: -1560*sqrt(19) + 481674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 14116231.\nAnswer: 14116230.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyhhyhhhyyyhy. What is prob of sequence hyhy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 42. What is q(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10165 and 38306.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 6, v: 4}. What is prob of sequence mmo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712504429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 - 75 = 4*o. Let y(l) = l. Let x(h) = h**2 + 5*h - 1. Let d(a) = x(a) - 4*y(a). What is the smallest common multiple of d(-4) and o?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 3*d**2 + d - 1. Let q be m(-2). Let r(t) = 3*t**3 - 2*t**2 + 1. Let a be r(q). Solve -3 = f - a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5462 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1475, 1472, 1467, 1460, 1451, 1440?\n\"Answer: -c**2 + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -579, 21, -5 in decreasing order.\nAnswer: 21, 0, -5, -9, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1397 (base 11) to base 5\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10064 divided by -3?\nAnswer: 10064\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y. Suppose i = -11 - 0. Let z(v) = v + 13. Let n be z(i). Let o(f) = -4*f**2. Let p(d) = -3*d**2. Let l(w) = n*o(w) - 3*p(w). What is q(l(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800*n + 1801*n - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2753 - -2812. What is the remainder when 69 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 350676 = -5*h, -4*w + 4*h + 385168 = -316172. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606180059 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:24 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.149 (b) -2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 12*s**2 - 6*s**3 + (-3 - s**2 + 3)*(2*s + 2*s - 5*s))*(-3 + 2 + 2)*(-4 + 0 + 2).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/5 - 184*b**2\/5 - 183*b\/5 = 0.\nAnswer: -183, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -568 - -567.93. What is the closest to 2 in -11, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 618 - -26?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -8, 18, -3, -2\/29, -13, -5, 3.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 337, 2740, 9281, 22030, 43057?\n\"Answer: 345*z**3 - z**2 - 9*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 5. Determine z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*o**2*r - o**2 + o*r**3 + 2*o*r**2 + 17 wrt r?\nAnswer: -8*o**2 + 3*o*r**2 + 4*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 342*m*y**4 - 812*m*y**3 + 8*m*y**2 + 6*m*y + 2*m - 2*y**4 - 2*y**3 - 1527495*y - 1 wrt y.\nAnswer: 8208*m*y - 4872*m - 48*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15426*q**2 - 2*q - 15427*q**2 - 2*q.\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 4?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 2:24 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**7\/105 - 2*g**6\/3 - 77*g**3\/3 - 320*g**2. Differentiate f(d) with respect to d.\nAnswer: 8*d**3 - 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148448684 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/3 + 46642*l**4 - 1087738082*l**3 + 25367139810322*l**2\/3.\nAnswer: -2*l**2*(l - 23321)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + c = 3, -6 = 6*n - 4*n - 3*c. Let z(y) = 20*y**2 + y - 6. What is the units digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-26))\/((-2197)\/(-4394))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:58 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 304941 and 304942 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*i = 701 + 1635 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2176 and 1856?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.694 + 0.306. Which is the second biggest value? (a) 0.6 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 22 + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 + 9*d**2 + 11*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -0.12, 2.42, 70, -3 in descending order.\nAnswer: 70, 4, 2.42, -0.12, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**3 - 33*k**2 - 23*k + 11. Let t(o) = 2*o**3 - 11*o**2 - 8*o + 4. Let j(p) = 3*i(p) - 10*t(p). Give j(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaoz when four letters picked without replacement from aaozaoaoaazaoaao?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x - 4*s, -4 = 3*x + 4*s - 11. Suppose -x*q + 7*q = -86. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3\/3 - n**2\/2 - 2*n - 6. Give t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-10)*w)\/w))\/(w*w**(2\/3)*w)*(w\/(w*w**(1\/2)))\/(w\/(w\/w**(-2\/81)*w*w)*w) assuming w is positive.\nAnswer: w**(1273\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*l**2 + l + 672*l**2 - 4 + 59*l**2.\nAnswer: 959*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 80 = 9*c - 14*c, -3*c + 5*a + 70 = 0. Calculate the greatest common factor of 125 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170425 is divided by 980?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 175638863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/159475 and 27\/10206400?\nAnswer: 10206400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.038 + -32. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 10*i - 15. Let m be t(6). Let o(b) = b + 6. What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 99466.858188.\nAnswer: -99466.758188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190.8 + 191. Which is the nearest to 3\/2? (a) w (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21161718 + -5?\nAnswer: -21161724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 4*m + 8. Let t(i) = i**2 - 1. Let r(v) = -j(v) - 4*t(v). Find g such that r(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**8*k)*k**5)**(2\/63) assuming k is positive.\nAnswer: k**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 13 = x - 26 + 17 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**4 + l**3 + l**2 + 9 - l**2 - 14 in the form b*l**4 + q*l**3 + n + p*l + y*l**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/28)\/((-1)\/245*-7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(12)*1 + sqrt(12)))\/((sqrt(60) - (sqrt(60) + sqrt(60) + sqrt(960)*-2 + sqrt(60)))\/sqrt(10)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryypryzyvypzyyzvy. What is prob of picking 2 p and 1 v?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14434*q**2 + 14436*q**2 + 14425*q**2 + 14435*q**2 + 14428*q**2 - 72154*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2 - w**2 + 2) - w**2 - w**2 - 2*w + 4*w + 648 - 2*w**2 - w + 606 - 1407.\nAnswer: -3*w**2 + w - 153","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.0547 (c) -5 (d) 0 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z = -18*z - 2400. What is the remainder when 313 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1983658 by -1487.\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43102 + 42882 - j + 2*j - j**3 to the form x*j**3 + h + o*j**2 + k*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c - 4. Let w be r(-9). Suppose 0 = -w*u + 2*u + 21. Let k be (-63)\/(-7) + (3 - u). Sort -4, 15, k.\nAnswer: -4, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 4, p: 2, l: 2}. Give prob of sequence pb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*w**2 + 42 + 70 - 9*w**2 - 34*w**2 wrt w.\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5043599*l**2. Let s(z) = -7*z**2. What is s(c(m))?\nAnswer: -178065236109607*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -63323854.\nAnswer: -9\/63323854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 18*k + 0 = -66, 0*t - t + 4*k + 12 = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 4. Let k be -1 + 1 - (-21)\/1. Suppose -2*u - k = -s*a + u, -2*a + 26 = -5*u. What is the smallest value in 2\/7, 2, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 19 = -3*w. Let n be 117\/(-91) - 2\/w. Let p(z) = z**3 - 5*z**2 + z - 5. Let v be p(5). Sort n, 1, v.\nAnswer: n, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -x + 0 + 2 = 0. What is the third derivative of r**x + 2*r**6 - 2*r**4 + s*r**4 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 18 = 16*n. Let l be n\/1 + (-12)\/4. What are the prime factors of (5\/l - 2)\/(1\/(-219))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d)*(-3 + 1 + 4) + 1107*d - 1036*d - 20 + 2 - 10.\nAnswer: 69*d - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 470927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocmrrlsllss. What is prob of picking 1 r and 2 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 - 480*m**2 - 3*m + 135. Let a be c(-96). Let s be ((-6)\/(-4) + -1)*94. Calculate the highest common divisor of s and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 401, 761, 1195, 1703, 2285?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*j = 3 - 1, 3*z - 3*j = 0. Solve i = -0*i + z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:09 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f + 3*f**4 - f**4 + 2*f - 2*f + (-2*f + 5*f - 2*f)*(f**3 + f**3 + 0*f**3) - 8 + 11*f**4 + 8.\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + (-24 - (11 - (69 - 34))).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.5 - 22. Sort -0.3, 2\/11, s.\nAnswer: s, -0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3416952 by 8.\nAnswer: 427119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -55*a**7\/7 - 4*a**3\/3 - 16. Find the third derivative of n(v) wrt v.\nAnswer: -6600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*x**4\/7 + 28*x**3 - 1266*x**2\/7 - 1300*x\/7 + 16 = 0. Calculate x.\nAnswer: -7, -1, 2\/25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -203? (a) 0.2 (b) 0.1 (c) 0 (d) -18\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*-1*(-11)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let h(j) = 23*j + 6. Calculate h(l(g)).\nAnswer: -46*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 30. Suppose -12209 - 33484 = -d*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*t + 16, 0 = -5*t - 3*y - 0*y + 32. Let k = t - -2. Calculate the lowest common multiple of 1 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 767169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4 + 16.6. Let q = i + -24. Which is the biggest value? (a) q (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -37, 0.3, 3, 3\/4 in descending order.\nAnswer: 3, 3\/4, 0.3, -1\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3334 - 1904 - 6181 + 2676)*(1 - 3 + 3)*(-7*z**4 + 0*z**4 + 3*z**4) as g*z**2 + f + l*z + h*z**4 + c*z**3 and give h.\nAnswer: 34972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/33)\/(30\/165))\/(63\/(-105)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2 - 13*c + 4. Let o(j) = 18*j**2 + 24*j - 10. Let x(d) = -5*m(d) - 2*o(d). Let b(p) = 2*p. What is x(b(a))?\nAnswer: -4*a**2 + 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/4*(-16)\/12. Let y = x - 5. Let n be 2\/y + 54\/15. Solve -l + 6 = -n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = s + 4, 0 = -2*q + 5*s - 4. Let r be 1\/1 - (-8 + q). Let j be 1\/(r\/(-9) + 1). Solve -j*y - 29 = -4*u, -2*u + 11 = 3*y + 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3044, 5884, 8724, 11564, 14404?\nAnswer: 17244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 7072*q\/5 + 6251648\/5.\nAnswer: 2*(q - 1768)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421 and 119564?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*u - 3*u - 358, 5*w - 2*u + 459 = 0. Let t(m) = 26*m**2 + 5*m + 1. Let v be t(5). Let z = v - w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.693 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106.1 + -74. Let t = g - 4.1. Let o = t - 30. What is the smallest value in o, 0, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + (sqrt(119) + 2*sqrt(119) + sqrt(119))\/sqrt(7)) + -4)**2.\nAnswer: -224*sqrt(17) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 37 + 5*i to the form y + a*i and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*s**2 + 9*s**2 + 30*s**2 - 4*s**2 + s**2 + 2*s**2 - s + (s - 7*s - 9*s)*(-4*s + 4*s - s) as g*s + v + w*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2593 + -936. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3375*j - 3370*j + 40, 5*j + 15 = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000813 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 - d**2 - 6*d**2 + (-d + 3*d - d)*(-449 + 449 + 25*d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.83798977 - 0.838. What is q rounded to 7 decimal places?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let k(c) = 11*c + 17. Let n(g) = -g + 1. Let s(m) = -k(m) + 6*n(m). Let i(u) = 6*u + 4. Let z(w) = -11*i(w) - 4*s(w). What is a(z(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -73 + 333. Let d = m - 63. Solve x = 3*s + 2, -4*x + d*s + 0*s = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413 * -0.7.\nAnswer: -289.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 621, 631, 643, 657, 673, 691, 711?\n\"Answer: t**2 + 7*t + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521364.\nAnswer: 2, 3, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*a - 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.5, -0.1, -1\/6, 0.1, -4, 2316\/7?\nAnswer: 2316\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6 - 5 - 5*z + 0 + z**3 + 5*z**2. Is m(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.97. Let r = 0 + 0.1. Is r greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k - 19*k - 19*k + (2 - 1 - 3)*(40 + 5*k - 40))*(-2*k + 4*k + 1 - k) to a*k + j + m*k**2 and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 4*m - 6. Let t(i) = -1. Let x(w) = k(w) - 6*t(w). What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 13923*b**2 + 27858*b.\nAnswer: -3*b*(b - 4643)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 156 + -55?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 408 + 5*s**3 - 408.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*i**2 - 3\/4*i**3 + 0 + 0*i = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + u**2)*(-40 - 31 + 27) + (-2*u - 1 + 1)*(u + 3*u - u).\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.005? (a) 4 (b) 77.8 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from pcccpppp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12110 and 13840.\nAnswer: 96880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2))\/((21\/(-2))\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/15 + 5*c**4\/6 + 4*c**3 + 35*c**2\/2 + 2*c + 17. Let w(g) be the first derivative of t(g). Let w(i) = 0. Calculate i.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3439.3 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let x = -2 - j. Let v = 516 - 518. Which is the nearest to v? (a) x (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-1 - 6\/(-9)). Let m be 32\/10 - (-2)\/(-10). Let l be -1 - m\/(-2 - 1). Solve l*s + o = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*o - 8 = 0, -3*k + 10 = -2*k + 5*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c + 14. Let y be 2 + 2 - 10\/(-5). Suppose 2 = 2*d, y*d = o + 3*d - 2. What is the units digit of l(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1, -1278.1?\nAnswer: -1278.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1517 and 4141?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/4 + 13*r**3\/3 + 3*r**2 + 39*r - 55. List the prime factors of l(13).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 1201.5.\nAnswer: 1201.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from eveveeeelvvle.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692348 divided by 6.\nAnswer: -282058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 18. Let y(z) = -4*z**3 + 6 + 3*z**3 + 0*z**3 + 5*z. What is the remainder when y(-4) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1231*h + 1232.\nAnswer: -(h - 1232)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let c = -2.82 + 0.02. Let z = j - c. What is the biggest value in -3, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1974 + 9871\/5. Let n(r) = 4*r + 24. Let y be n(-5). Which is the nearest to -3\/4? (a) -12 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 - 71*y**2 + 5*y + 3. Let w(m) = -4*m**3 + 36*m**2 - 3*m - 2. Give 3*l(x) + 5*w(x).\nAnswer: x**3 - 33*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*d = 1828 + 8 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:25 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3) + 5 - sqrt(36)\/(sqrt(36)\/sqrt(3)) - (0 + sqrt(243) + 3 - (2 + (sqrt(243) - sqrt(243)*-1))))**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-24)\/(-320)*-8 + 78\/10\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976*l - 6 = 978*l. Suppose -33 = -2*u - 5*y, -10 = -3*u - 2*y + 12. Let c(h) = -5*h**2 - u*h - h + 1 + 2 + 4*h**2. Give c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 4*l + 2. Let r be t(2). Let f(k) = 14*k + 4. Let u(p) = -5*p - 1. Let i(c) = -6*f(c) - 17*u(c). What is the units digit of i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33441165*l**3 - 45273539 wrt l?\nAnswer: -100323495*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n - 3011867 = -260757. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 7:10 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24032071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Divide 680119632 by -170029908.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.3, 1\/2, -0.07, 2\/9, 9.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4*j + 2*j + 2 - 2 + 2*j + (-3 + 5 + 0)*(-2*j + 3 - 3) + 0*j + 3*j - j - 3*j - 2 + 2 + 7906*j - 1769*j + 2087*j.\nAnswer: 8220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = -2*g + w, -g = w + 4. Suppose -3*h - h = -12. Find the first derivative of -2 + g + 0*j**h - 2*j**3 wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 + 67251*q**4 - 1343811*q**3 - 201759*q**2 + 4165962*q - 2687640 = 0. What is q?\nAnswer: -2, 1, 20, 22397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*s - 7*s**3 - 409*s + 208*s.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1 (c) -2\/29 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 2 + -3 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625194150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -56, -85, -136, -215?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) 1\/19 (c) -27649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o + 16. Give d(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*h - 80*h + 700 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/215, -892.4, 0.3 in decreasing order.\nAnswer: 0.3, -2\/215, -12, -892.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/5 - 2*d**2\/5 + d\/5 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 6921 (c) -0.3 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 1. Let r be d(-1). Let z(m) = -m + 3. Let h be 25\/10*(-28)\/(-10). Let b be z(h). Sort -3, r, b in descending order.\nAnswer: r, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1)\/(90\/150).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2089189*i = -2089080*i - 7303 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1448, -1, 13 in decreasing order.\nAnswer: 1448, 13, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 7*y**2 + 12*y - 36. Determine v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1509 divided by -26.\nAnswer: 1509\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = 37*u - 34*u - 29, -u - 1 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -352*t**3 + 20*t**2 - 6*t - 1. Let q(u) = 351*u**3 - 25*u**2 + 7*u + 2. What is -4*q(m) - 5*w(m)?\nAnswer: 356*m**3 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6)*(0 - 9). Let r(h) = -6*h + 10*h - 34*h. Let p be r(-4). Calculate the highest common factor of p and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1334 = -334. Is c\/6 - 3\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-38)*p*p*p*p**34*p*p*(p**(-1\/9))**(-2\/19) assuming p is positive.\nAnswer: p**(173\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33009503*0.5\nAnswer: -16504751.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 47 - 2*t**3 - 90.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8820 = -43*l + 49*l. Let x = 4177 + l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*g + 249*g = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - 11*y + 3. Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13 = -5*r, -5*r - 14 = -s - r. Let o = 2 - -4. Suppose o = s*j - 28. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 904, 3052, 7234, 14128, 24412?\nAnswer: 38764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 28*p - 11*p. Let r(d) be the third derivative of 0*d - 12*d**2 - 7\/24*d**4 + p*d**3 + 0. Let c(m) = -2*m**2. Determine r(c(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**2 + 3*u + 2. Let z(t) = t**2 + 5*t - 8. Let v be z(-6). Let d be c(v). Is 4 a factor of 12\/(-10)*d\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by 8\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2047343, 8189308, 18425917, 32757170, 51183067?\n\"Answer: 2047322*j**2 - j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 5*k)*(301*k + 2 - 301*k - 74*k**2).\nAnswer: -296*k**3 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256090.95 milliseconds in days?\nAnswer: 0.002964015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, 121, 0, -5?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*q + 2*u - 7, 2*q - 2 = 4*u. Let h be 1*((q - 2) + 0). Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o - 3*w - 45, 19 = 2*o + w. Suppose 7*u = o*u - 85. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*y - 671 = -7*y, -5 = y. Suppose -2*l - r = 2*l. Let t = -20 - l. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.85 + 13. Let q = -1111691.8499994 + 1111692. Let g = q - t. Round g to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 + 3*h + 2. Let p be a(4). Let q = -3 - -4. Let r be -5*10*50\/(-4375). Put r, p, q in decreasing order.\nAnswer: q, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1495, -1515, -1571, -1681, -1863, -2135, -2515, -3021?\nAnswer: -3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-50 - -24) + 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -0.45924\nAnswer: -0.65924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43605.463 less than -301283?\nAnswer: -257677.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -128*k + 122*k. Let h be (-9 - -8)\/(2\/k). Calculate the highest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -22. Let a(t) be the first derivative of t**4\/4 + 2*t**3\/3 + t**2 - t - 1492. What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.268135 - 0.259. Round v to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a*a**12)**(-29\/5))**30 assuming a is positive.\nAnswer: a**(-2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 684509 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160939 + 4002 + 29029 = 10659*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-15)\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 1083060*l**2 - 8664160*l.\nAnswer: -5*l*(l + 8)*(l + 216604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14813*j*t**2 + 97592*j*t - t**2 wrt t?\nAnswer: -29626*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 8, j: 3, u: 1, a: 5}. What is prob of picking 1 y, 1 d, and 1 u?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-399834)\/2425*4\/(-12). Which is bigger: 54 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**3 - b**2 - b - 1. Let c(w) = -w**2 + 4*w - 1. Let q be c(4). Let k be n(q). Solve -3*p - k = 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 29*a**2 + 26*a - 154. Give k(-30).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 26) + -3 + (-2 + 9 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2845, 2824, 2801, 2776, 2749?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/72)\/2*9*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158650 rounded to the nearest 1000?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -682 - -761. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1763 - 7139 = -32*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 2*w**2 + 17 + 4*w**2 + 3*w - 12 in the form r*w + c*w**2 + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/3 (b) 5\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2188531.13 + -2190003.12369. Let y = m - -1472. What is y rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -924 + 41. Let t = y - -884. Which is smaller: -165 or t?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. What is the second smallest value in 1, z, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2079.95325 - -0.04675. Let r = b - 2078.681. Round r to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-12)*27\/(-126)*(-512)\/(-48)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 7\/2*k**2 + 0 - 1\/4*k**4 + 1\/6*k**3 - 13*k. Let m(v) be the first derivative of p(v). Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -411 + 289. Let u = c - -852\/7. Let j be (4 - 2)\/((-18)\/4). What is the third biggest value in u, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 166*p + 56066. Calculate c(-214).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -549 + 548. Let s be u - (7 - 30\/2). Calculate the greatest common factor of 84 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, -3*w - r + 12 = 4*r. Let f = w - 9. Solve 3*u + f*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -20 - 40\/3*d + 4\/3*d**2 + 10\/3*d**3 + 1\/3*d**4 - 2\/15*d**5. Let u(p) = 0. Calculate p.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-7)*(-2)\/6*-1. Is i less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/(1638\/(-156)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - (-10 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24179 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2 - 6 - 3*j - 2*j. Suppose 0 = -0*n - n + 5*q + 9, 0 = 2*n - 5*q - 13. Let d(k) = 15*k + 18 + 1 + n - k. Determine 6*d(t) + 17*f(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62263 and 319?\nAnswer: 684893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -46153700 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2429331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.57 + -0.17. What is the nearest to 1 in r, 5, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 17*o + 15 = -3*b, 0 = 3*b + 9. Let s(t) be the first derivative of -1\/14*t**2 + 1\/7*t**o + 9 + 1\/28*t**4 - 3\/7*t. Solve s(n) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x + 5. Let o be p(-6). Suppose -2*w - o + 15 = 0. Let g be 10\/8*(-54)\/(-45). What is the second smallest value in -2, g, w, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1734456)\/6)\/(-24 + 20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. What is n(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Is (17\/(-2))\/(a\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 366?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + (-1)\/(-4). Suppose 7 = -u - i, -4*u + u + 4*i + 14 = f. Let y be -4 + (428\/60 - 3). What is the nearest to 0 in u, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 77.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -1\/24*o**4 + 1\/60*o**5 + 5\/3*o**3 - 1\/120*o**6 - o + 0 + 21*o**2. Calculate l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 2, a: 1, m: 4}. Give prob of picking 1 u and 1 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7453383 + 3017083. What is z rounded to the nearest 10000?\nAnswer: -4440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:01 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddqqqqdddguququrr. Give prob of picking 1 g, 1 u, and 1 r.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - j + 266. Let w be h(0). What is the remainder when 2\/6 - w\/(-21) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/42)\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72372 divided by -3?\nAnswer: -24124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 8*p**2 + 6*p - 1. Let z be f(-7). Let h be z\/27*-3*-3. Suppose 33 = h*j - 33. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 45\/35)\/1. Are 1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3171*j + 5850 with respect to j.\nAnswer: 3171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Let h be (-1)\/(102\/26 - 4). Suppose 0 = -2*z + 8, -h = b - t*z + 6. Sort 2, 4, b in descending order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-1)*17\/(51\/(-700)). Calculate the greatest common factor of q and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12) + -5.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 5. Let b(n) = n + 1. What is b(q(j))?\nAnswer: 5*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436 (base 8) in base 3?\nAnswer: -1002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0.25, -3, 2516, 0.5 in descending order.\nAnswer: 2516, 0.5, 0.25, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(34\/5)\/w*w*w\/w**11 assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 104. Let w be o(30). Let v be (2\/(-8) - 6\/8) + w. Let a = 41 + v. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -2 in decreasing order.\nAnswer: -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-5) + (-10)\/25. Let i(h) = -4*h**3 - 2*h**2 - h. Let z be i(a). Suppose 5*p = -4*o + 23, -4*o + 8*o + 2*p = 14. Solve -20 = z*r + o*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*z + 100*z - 1840. Suppose 216 = i - 3*m, 4*i - 2*m - 914 = -0*m. Let t = i + z. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/l**(-1))\/l)\/l**(5\/7))**42 assuming l is positive.\nAnswer: l**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0346353059 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/6)\/(2\/4). Let q = -29 + x. What is the units digit of 16\/7 + 4\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1776895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o - 271. Let v be q(-30). Let g(k) = -k + 6. Let y be g(6). Which is the closest to y? (a) v (b) -5\/6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10140)\/(9 - 19) - -14. Which is smaller: t or 4115\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2901*x**2 - 8*x + 24. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32789?\nAnswer: 32789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 + 3*n**4\/4 - n**3\/3 + 15*n**2\/2 - 2*n. Let g be a(10). Calculate the remainder when 20 is divided by g\/(-9) - 6\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41909 is divided by 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 172, 265.\nAnswer: 2\/3, 172, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/35*(-4 - 4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/4 + 1241*v\/4 - 621\/2 = 0. What is v?\nAnswer: -1242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:45 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a77 - 2?\nAnswer: a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-6 - -10 - 1*6). What is the biggest value in 3, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 5 (b) -0.2 (c) 0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1856*c**2 + 6*c + 12. Let m(n) = -146630*n**2 + 473*n + 946. Calculate -6*m(s) + 473*v(s).\nAnswer: 1892*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 1438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/48 and 26\/11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11012222001 (base 3) to base 4\nAnswer: 110102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -3 + (-39 - -37) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, -3, 340, 3 in ascending order.\nAnswer: -3, 1, 2, 3, 4, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + o + 29, 3*o = u - 21. Suppose -3 = -c - 0*c. Suppose -2*p + 8 = -2*f - 0*f, -f = c*p - 4. Calculate the greatest common divisor of u and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from uxuquqqbqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -34568 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -91914041377 and -3.\nAnswer: -91914041380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*f - 14, p - 4*f = -p - 8. Suppose p*x - 976 = 2. Suppose -v - 2*v + 3*r = -x, -5*r + 333 = 2*v. Round v to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 5*a + 2*a - 8*a as n*a + q and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 932 - 931.6. Which is the closest to 0.4? (a) f (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -57*n**2 - 46. Let s(d) = 20*d**2 + 15. What is -8*k(i) - 23*s(i)?\nAnswer: -4*i**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19579?\nAnswer: 7, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-7) + -2 - 2096\/(-14). Calculate the greatest common factor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Suppose 7*q = -45 + 3. Let d(i) = -i**3 - 3*i**2 + 4*i + 6. What are the prime factors of d(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 + 239. Let c be 19 + -6*(-1)\/(-2). Let b = y + c. What is the lowest common multiple of b and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 2 q when four letters picked without replacement from lqqqpqp?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 19 = -83. Let w(m) be the third derivative of m**6\/120 + m**5\/10 + m**4\/4 + m**3\/6 + m**2. Calculate w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -4*y - 0*y - 3*f, -3*y + 116 = 5*f. Let t be 4\/6*(10 - 16). Let d be (-6)\/t*(-24)\/(-18). Solve 0 = -5*p - 4*z - y, 0*p = d*p - 3*z + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 112 = 4*o, 5*y - o - o - 134 = 0. Calculate the remainder when 309 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 76353 = 13*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 9*t + 254 = 3*r, t - 160 = -2*r. What is the remainder when r is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:10 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14893488, 14893504, 14893518, 14893530, 14893540, 14893548?\n\"Answer: -h**2 + 19*h + 14893470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7722\/16955?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7413869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -7. Let r be 3 - (-1)\/3 - (-74)\/(-222). Let p = t + r. What is the greatest common factor of p and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000073264 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.174?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34144526 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**4 + 46*x - 46*x)*(-622*x + 617*x + 6 - 3).\nAnswer: -70*x**5 + 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 418160851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -5, 109, -2, 75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839260561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0, 2\/9, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epee when four letters picked without replacement from {e: 4, p: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 + 2812 - 2812 + 37*m - 3*m**3 - m**5 wrt m.\nAnswer: -20*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4683240566.\nAnswer: 2, 29, 80745527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5 = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t = 53*t - 1895. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 i when three letters picked without replacement from iiiddi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 1. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h. Let m(r) = -1140*r. Let f(p) = -5*m(p) + 210*y(p). Let g(b) = -45*b**2. What is f(g(d))?\nAnswer: -1350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419975\/51 + 8236. What is the common denominator of -66\/85 and g?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*o - 102 - 57, 0 = -4*o - 4*g + 156. What is the smallest common multiple of (24 - 6\/(-3)) + (-3 - -1) and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(8\/5)*h**(-34))\/((h**(1\/4)\/h)\/(h**(-20)*h)))**(-3\/14) assuming h is positive.\nAnswer: h**(3039\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtjjjtj. Give prob of sequence ttj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-5)\/375 - 2\/(-6). Which is the second smallest value? (a) z (b) 2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12 - 2*y + 11 + 8*y. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/55, -94, -99, -4 in descending order.\nAnswer: 2\/55, -4, -5, -94, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 155 = 51*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -852792a?\nAnswer: 8527934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10*m = 28. Suppose 0 = f - m*j - 92 - 155, -5*j + 468 = 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*m = -215*m - 4. Which is the third smallest value? (a) -3\/4 (b) -5\/3 (c) 2\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -45564.\nAnswer: 39\/15188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 24*m**2 + 25*m + 43. Let o be l(-23). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220010 + -332?\nAnswer: -1221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 8. Determine f(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49156724 to 4 decimal places.\nAnswer: -0.4916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 0 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j = 4*w - 376, -4*w + 20 = -353*j + 355*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17+-1.421137617\nAnswer: -18.421137617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egt when three letters picked without replacement from {g: 3, s: 1, e: 4, t: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4079372 and 107184?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1033?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36983*t + 738 = -36980*t. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 6 = 12*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -0*y - 3*n, 5*y - n + 2 = 0. Let w = 3 + y. Let r = w - 4. Which is the second biggest value? (a) r (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 4 = 0. Solve 4 + 4 = 2*z, w + p*z - 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86664770.\nAnswer: 2, 5, 8666477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let q(o) = 301*o. Determine -q(c) + 258*v(c).\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185*m**6 + 437753*m**4 + 193106238*m**2 - 2*m?\nAnswer: 22200*m**3 + 10506072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 443 = g, 0*g - 3*g + 300 = 2*d. Calculate the greatest common factor of 98 and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) -2\/9 (d) -123 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 6*r + 4*r)*(0*r - 35*r - 2*r)*(-6*r + 9 - 9).\nAnswer: 1998*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102113301 - -11?\nAnswer: 102113312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18402*w + 12784*w - 376406 for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4 - -6) + -677. Is (p\/7)\/(-2 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1050*j**3*p + 2*j**3 + j**2 - 4*p + 101 wrt p.\nAnswer: -1050*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/2*m**2 - m**5 - 16*m**3 - 2 - 10*m - 13\/2*m**4 = 0 for m.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -88.3, 13, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 9)*(-5 - 1 + 3) - 7 + 3 + 3 - 1 + 0 + 4)*(5*l**2 - 5*l**2 - 2*l**3).\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -1. Let s = 1 - 0.8. Let v = w - s. Which is the closest to v? (a) 5 (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 114 = 134 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -2, -4, -1, 0.5, 32747?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 1104634650?\nAnswer: 1104634656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b80 + -3?\nAnswer: b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -898114, -3592415, -8082912, -14369605?\n\"Answer: -898098*k**2 - 7*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1698\nAnswer: -1\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 3. Let f be b(-6). Let h = -11 - f. Find the second derivative of 2*x - 2*x**4 + x**5 + 2*x**h wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83572 divided by -174?\nAnswer: -41786\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 32. Let j be 4\/m - 1108\/(-36). Let y = -22 + j. Solve 2*h - 1 = -y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*27\/(-3078)*-19.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -4, 8, -5 in increasing order.\nAnswer: -5, -4, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**3. Give m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1845 (base 9) to base 15.\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j = 15. Suppose -a = -4*h + 6, 3*a + h - 3 = j. Factor -36*v**2 - 4 + 27*v - a - 6*v**3 + 21*v**3.\nAnswer: 3*(v - 1)**2*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:34 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjcscsscjc. What is prob of sequence ssc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532 * 0.1.\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.56 - -18. Let k = -0.03 - -4.03. What is the second smallest value in k, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {m: 4, s: 2, y: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195564 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let h = -39 - -42. Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/3 + 11*l**2 + 212*l\/3 - 320 = 0?\nAnswer: -20, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 14822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 18.\nAnswer: -3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 22*m**5 + 480*m**4 = 0.\nAnswer: -240\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from tttttmmtmt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = 2*y, 2*y - 25 = 5*z - 8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 281930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 481291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(1100)*2) + sqrt(6336) + -2 + -3 + (sqrt(1100) - (sqrt(1100) + sqrt(1100) + 2 - sqrt(1100)))*2 + (sqrt(1100) + 0)*-6)**2.\nAnswer: 972*sqrt(11) + 32157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y. Let c = -1609 - -1609. Let u(k) be the second derivative of c - 1\/2*k**3 + 0*k**2 + 5*k. Give u(j(x)).\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -y - 12, 5034*y = 14*m + 5035*y - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 11*c**2 + 151*c + 497. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -48, 3, 521, -4 in ascending order.\nAnswer: -48, -4, 3, 57, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102221 + -20112010100?\nAnswer: -20121120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24972)\/(-10) - 19\/95. Suppose 3*i + y = -q, -2*q + 6 = 2. Let b = i + 1420. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-116)\/(-87) + 16\/6. Solve 3*h + 3*z = -0*z - 18, c*h + 23 = -3*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 224, 203, 164, 101?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -258.0321 and -5948.\nAnswer: -6206.0321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*z + 29. Let d(k) = 10*k**2 + 5. Let q(f) = f**2 + 1. Give z*q(h) - d(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6612748 rounded to two decimal places?\nAnswer: -5.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524423 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7324395 divided by 3?\nAnswer: 2441465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.096 - 0.096. Let i = u - 42.2. Let b = i + 4.105. Round b to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(5 + (-9)\/2). Let g be (-1 - j)*11\/(66\/54). Put -2, g, 2 in increasing order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227\/4 - -57. Let o = 3.06 - 0.06. What is the third biggest value in o, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 0, -4*q - 129*j = -125*j - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3567 = -609*p - 11704 - 26072 - 13902 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313 (base 4) to base 15.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + -26.19. Let z = -19 - w. Let i = z - 8.2. What is i rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 + g**4\/8 - g**3\/6 - 14*g**2. Give a(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + -10*(-2534)\/1470)*(-10)\/((-240)\/(-28))?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1555 + -1549. Suppose n = -2*n + 150. What is the least common multiple of n and b?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -602*v + 39*v - 583*v + 75636 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7688*l**3 - 5 - 6633*l**3 + 3.\nAnswer: 1055*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 5*v + 10. Let k be q(-6). Suppose 3 = -3*u, -4*m - k*u + 233 = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8394.0739 - 4287874.8261. Let h = f - -4296269.09399857. Let n = h + -0.194. Round n to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 690, 2754, 6194, 11010, 17202?\n\"Answer: 688*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*82055.6\nAnswer: 82055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -2. What is the lowest common multiple of -3 + 0\/1 + w and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/((v\/(v\/(v\/(v**2*v)))*v)\/v))*v)\/v)\/v)\/((v\/(v*v\/v**(-37)*v*v*v))\/v*v) assuming v is positive.\nAnswer: v**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5809, 46758, 157909, 374362, 731217?\n\"Answer: 5850*p**3 + p**2 - 4*p - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + o - 9, -5*o = -14*w - 2*w - 44 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 104378 and 99442 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 56\/5 (b) 6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-3\/5))**(12\/7)*(o*o**(-1\/9))**15 assuming o is positive.\nAnswer: o**(1868\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 2. Let k(c) = -c**2 - 2. Let u = -210 + 232. Suppose 24*r - u*r = -5*w + 11, -8 = -2*r - 4*w. Determine r*k(l) - 3*y(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 6*x + 5. Let z be q(-6). Suppose -2*a = -z - 7. Let m = 19 - 8. Calculate the lowest common multiple of m and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 11*v - 12. Let r be a(9). Let n = -3 + r. Suppose t = 3*k - 8, k + 2*t = -n*t + 8. Solve -3*c + 2*q = -4, k*c - 5*c = -q - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 2. Let j be r(-5). Suppose q - j + 4 = 0. Let h(w) = -5899999*w + 1. Let p be h(q). Round p to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 1020435654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 10) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + 3 - ((142 - 303) + 157).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2134 in descending order.\nAnswer: 2134, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -2, -0.01 in descending order.\nAnswer: 0, -0.01, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782876862 to the nearest integer?\nAnswer: 27980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7845 = 559*g - 10683 + 17372 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 - -445. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i**(1\/8))\/(i**5\/(((i\/i**(-1\/5))\/i)\/i*i))*i**0\/i**3*(i*(i*i\/i**(-3\/2)*i)\/i)\/i**(-3) assuming i is positive.\nAnswer: i**(23\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 3. Let a be l(-4). Suppose -4*d = -a - 5. Let t(z) = 30*z + 367. Let y be t(-12). Solve -4*b = -y*j + d*j + 32, 3*b - 1 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2\/5 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1210 = 50*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 6, a: 4}. Give prob of picking 2 s and 1 b.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/14032301 or 1?\nAnswer: -19\/14032301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n. Let u(f) be the second derivative of -1\/6*f**4 + f + 0 + 0*f**2 + 0*f**3. What is h(u(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 18}. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -78. Let f(o) = 3*o - 58. What is the remainder when z is divided by f(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-26)*(-37)\/(-111). What is the third smallest value in -0.06, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/64 and (-70)\/(-360)*411\/42.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 266.72 and 5473?\nAnswer: 5206.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + g - 3 = -7, -4*g - 14 = -3*i. Suppose 10 - 11 = f, -i*z + 2365 = -5*f. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14386 (base 10) to base 13.\nAnswer: 6718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*c - 14. Let d(s) = s - 5. Let u be (4 + -5)\/(-1 + (-12)\/(-15)). Let z(j) = 2*j - 16. Let g(k) = c*d(k) + u*z(k). Let q(m) = 2*m. Give q(g(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose -32 = -3*c - n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*p**3 - 3*p**4 - 22*p**3 - 262*p - 1449*p**2 + 1849*p.\nAnswer: -3*p*(p - 1)*(p + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let u(l) be the second derivative of 0 + 1\/3*l**3 + 0*l**2 + 65*l. Determine k(u(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.699259 to 3 dps.\nAnswer: -0.699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -72a59 (base 11) in base 8?\nAnswer: -317667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38056 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 4}. Give prob of picking 3 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10173 - -3?\nAnswer: 10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - w - 2*w)*(22*w + 31752 - 31752 + (w + 0 + 0)*(3 - 1 + 0) + 0*w + 3*w - 2*w) as g + s*w**2 + a*w and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3820 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 37. Let i be (o\/(-386))\/((-18)\/(-3546)). Let k = i + -2\/193. What is the closest to -1\/3 in -6, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 1:54 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-15)\/8)*(-3363)\/9204*78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 2*w**3 - 20*w**3 + w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/(-574)) + ((-21)\/(-154))\/(582\/(-1067)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -30 - 2\/3*h**3 - h**2 + 0*h. Factor g(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**3\/3 + 11*d**2\/2 + 13*d - 64. Give j(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2 (c) 1 (d) -0.3 (e) -17024\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccn when three letters picked without replacement from {c: 2, n: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**3 + 5*s**3 + 8*s**3 + s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3917078198 to the nearest integer?\nAnswer: 62587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -277. Let c = 205 - r. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y + 472 + 406 = 242 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*z - 34664, -2*i + 25806 = -z + 8484. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 25*h**2 - 127*h + 19. Suppose -3*p - 133 = -j, 0*p - p = 2*j - 287. What is the remainder when j is divided by a(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -6*-2*sqrt(300) - -5*(sqrt(300) + 2))*1 + -4 + -1 + 4)**2 + 1.\nAnswer: 3240*sqrt(3) + 97282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1476922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282348 and 11682.\nAnswer: 16658532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64\/2065 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 7774, 3\/5 in increasing order.\nAnswer: -3\/2, 3\/5, 7774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 66*o**2 - 42*o - 251. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)\/j)**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-8) - 104839\/(-322). Let d = 327 - u. What is the smallest value in -3\/4, d, 9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3))**2*5 + 5 + (3*sqrt(102)*-1)\/sqrt(6).\nAnswer: -3*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-8)\/120*-15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiutxb. What is prob of picking 1 b and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 395, 1352, 3225, 6320, 10943, 17400?\n\"Answer: 51*n**3 - n**2 - 7*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqq. Give prob of picking 3 q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 3*i**2 + i - 1. Let s be k(-4). Suppose -y = 4*y - 115. Let d = y - s. What is the least common multiple of d and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2823*b + 340284 - 340284.\nAnswer: -2823*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/104 - 271\/2184. Let w = -1.3 + 2.3. Let s = 0 - w. What is the nearest to s in 4, v, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -39 - (8 - -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -5 (c) 2\/111 (d) 415\/1824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -8, 2, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 0.2?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2. Let g be y(-3). Suppose -w + 5*r - 9 = w, -3*w - 8 = -2*r. Let j be 2 + 142\/(-35) - w. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 41 - ((-6 + 10 - -3) + (-2 - 18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -19*u - 12. Let k(y) = -53*y - 33. Let d(v) = 11*f(v) - 4*k(v). Let t(c) = 2*c + 15*c - 9*c + 9*c. What is t(d(o))?\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -25. Let b(f) be the second derivative of 0*f**4 - x*f + 0 - 1\/10*f**5 + 0*f**2 - 1\/2*f**3. Find the second derivative of b(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-20)*(-26)\/13*1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1)*-1)\/((1\/(-11))\/((-3962)\/(-1111341))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {i: 1, s: 1, y: 6, x: 8, q: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23416789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1720 and 82891960?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 2760.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let y(q) = -1. Let f(k) = -5 + 5*k**2 - 1 - 2*k**2 - k**2. Let o(u) = f(u) - 6*y(u). Determine g(o(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((6 - -8 - 7) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -1.7. Let r = 39 - 349\/9. Which is the closest to -1? (a) 1 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407333 is divided by 616.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 3651 + 3651.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.006 + 16.994. What is the nearest to f in -0.4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = 0, -4*h + 1 + 4 - 24 = -7*k - 9 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221 (base 4) to base 10.\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/84*(-8)\/(-36)*(-112)\/(-80)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by 66.\nAnswer: -68\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6236.289 minutes?\nAnswer: 4.33075625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozxi when four letters picked without replacement from zbigzzobibixxzggxxzb.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 445743420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s + 1. Let k be i(-2). Let x(j) be the third derivative of -1\/120*j**6 + 3*j**2 + 0 + 1\/6*j**4 + 1\/60*j**5 - 1\/6*j**k + 0*j. Determine x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 287, 301, 315, 335, 367, 417?\n\"Answer: w**3 - 6*w**2 + 25*w + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -141, -204, -269, -336, -405?\n\"Answer: -b**2 - 58*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.1, 16, -2\/73?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9689131 hours?\nAnswer: 58.134786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 22. What is the hundreds digit of 2\/(-14) + (-876)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - 3*l)*(-14*l + 7 + 14*l - l**2).\nAnswer: -l**3 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -990, -989, -988?\n\"Answer: o - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 28574910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12)**(7\/4) assuming f is positive.\nAnswer: f**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/7 + 18108*s\/7 - 27324972\/7 = 0.\nAnswer: 3018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/105*(-6)\/45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(245) + -2*sqrt(245) + 2)**2*1.\nAnswer: -28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from nunnnnnuuuunnnunnnu?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*56\/(-924))\/(1 + (-8)\/12 + -17).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:12 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from {e: 7, u: 1, f: 1, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*p + 82 = -111*p - 134*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1741008.9 months to years.\nAnswer: 145084.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331*f**4 + 171*f**4 - 626 + 372*f**4 + 693*f**4 wrt f.\nAnswer: 3620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (322\/(-6) - 1)\/((-35)\/5 - (-4097)\/723)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68\/23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/15, 2\/463, 3, 1.2, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -1\/6*h**2 + 1\/15*h**5 - 1\/18*h**4 + 1\/30*h**6 + 0 - 5*h - 2\/9*h**3. Suppose p(y) = 0. What is y?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 4 - 2 - 2*x)*(2 - 1 + 1).\nAnswer: -4*x - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 848*d - 12702\/5.\nAnswer: -2*(d + 3)*(d + 2117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = t + 36, t + 4*t + 4*b = -54. Let a(q) = -q**2 + 36. Calculate a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 154b6?\nAnswer: 154b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 109509 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2198, 4203, 6020, 7655, 9114, 10403?\n\"Answer: k**3 - 100*k**2 + 2298*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 5803 + 5838 - 17499 + 5858 + 2*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 420324444 (base 5) in base 16?\nAnswer: 1a65cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267403589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16944114 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -195691.\nAnswer: 5\/195691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b + 289021?\nAnswer: 28916c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + f + 1. Let z be r(-1). Let y(w) = z + w - 4 - 5 + 8. Let a(j) = j + 2. Let b(x) = -5*a(x) + 6*y(x). Calculate b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 591011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6692678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1635, -6576, -14809, -26322, -41103, -59140, -80421, -104934?\nAnswer: -132667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20582547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -767?\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**4 + 2*q**3 - 2*q**2*x**3 + 30*q*x**3 + 2*q*x - x**2 wrt q?\nAnswer: 60*q**2 + 12*q - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-13 + 351 + 51)*(1 - 3 + 0)*(-1 + 1 + 2*n).\nAnswer: 1556*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9123*a + 54767. Determine u(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -60.9?\nAnswer: -60.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2039063, 2039062, 2039071, 2039096, 2039143, 2039218, 2039327, 2039476?\nAnswer: 2039671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -82. Let m(r) be the second derivative of -r**4 + r**3\/6 - r**2\/2 + 102*r - 2. Determine m(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:59 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -54*p**3 - 3*p**2 - 3*p + 3. Let r(u) = 108*u**3 + 5*u**2 + 5*u - 5. Give -5*d(o) - 3*r(o).\nAnswer: -54*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461223?\nAnswer: 3, 7, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454977 is divided by 172725?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppz when four letters picked without replacement from zhzzppzzhzpzhzpz.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -322\/151 (b) 2\/41 (c) 0.1 (d) 1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7141, 2, -2\/23, -0.2, 3 in decreasing order.\nAnswer: 7141, 3, 2, -2\/23, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 + 13*v**2 - 5*v + 3. Let p be a(4). Let y(z) = -11*z**2 + 3*z. Let g(k) = 34*k**2 - 8*k. Let j(l) = -4*g(l) - 11*y(l). Determine j(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5290 or -602?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, 1206, 2\/3, -0.11, 4 in decreasing order.\nAnswer: 1206, 4, 2\/3, 1\/17, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 139*r**3 - 808*r**2 - 12880*r - 29952.\nAnswer: (r - 13)*(r + 4)**2*(r + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 1587 = -2*y, -2*y = s - 319. List the prime factors of s.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20303973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 + 5*v**4\/12 - v**3\/3 - 5*v**2 - 5*v. Let x be r(-5). Solve x = 4*h + 3*s - 7*s + 28, -10 = -2*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 11 - 5*g - 2*g. Let u be a(-7). Solve c**3 + 1 - 4*c + 0*c**3 + u - c**2 = 0 for c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(6 - (-5190)\/(-875)). Let u = z + 2\/5. What is the nearest to u in -3\/5, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2325130059 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*x**2 + 34276658*x + 3264444.\nAnswer: -2*(x - 816111)*(21*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.2187 micrograms to tonnes.\nAnswer: 0.0000000000522187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:26 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415048*h + 167903 wrt h?\nAnswer: 415048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-130)\/117)\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50826 is divided by 24296.\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28032 - -38.65?\nAnswer: -27993.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 + 5*t**3 + (-15 + 111 + 11)*(-10 + 2*t**3 + 10).\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7475003 = 408*g - 32288647 - 32978262. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/2))**(-35)\/(i**(5\/6)\/i**(3\/7)) assuming i is positive.\nAnswer: i**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + s + 783, -s + 7 - 3 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 - -214. What is the highest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26400 and 676896?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 398 and 10.\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3\/7 + 956*i**2\/7 - 2832*i\/7 = 0.\nAnswer: 0, 3, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -28.0003. Round i to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 11730 = 3*d. Is 13 a factor of (1\/(-2))\/((-23)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3391*w + 33*w**3 + 2*w**2 + 2288*w + 40*w**3 - 71*w**3.\nAnswer: 2*w**3 + 2*w**2 + 5679*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2908335*j**3 - 4*j**2 + 54321*j - 199?\nAnswer: -17450010*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a - 33. Suppose 4*h - 96 = -3*t, 3*h + 8*t = 7*t + 72. Is i(h) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) - (-28)\/(-210)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -9. Which is smaller: g or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 317 + 4*j - 316 + 633.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171750 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -582 + 526.4. What is t rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - i + 18, 5*n - 7 - 7 = -3*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 17. Suppose -57*u + 59*u = t + 96, 0 = -5*u + 2*t + 242. What is the second smallest value in h, -0.5, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, i: 2, u: 3}. What is prob of sequence iqj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9355464*u**4 - 2249535*u + 2?\nAnswer: -112265568*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 12*h**2 + 12*h + 19. Suppose 6*o - 11*o = 65. Let y be u(o). Is 14 a factor of 6\/(-2) + 1 + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 5 = 0, 20 = 4*d - 4*y. Let k be (-25)\/d*(-4)\/15. Let t = -8435 + 8436. What is the second biggest value in 0.5, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1396*i + 1410*i + 126 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k. Let g(u) = -3*u**2 + 9*u + 5. Let w(s) = g(s) + 4*l(s). Let b be w(-5). What is the units digit of (-8)\/20 - (-42)\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 6*r - 3. Let t be g(5). Let l(s) = 5*s**3 + t*s**2 + 4*s + 11*s**3 - 11*s**3 - 10. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 + -333. Let x be (-10)\/120*-8*-573. Let f = 283 + x. Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766010?\nAnswer: 2, 3, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.8 - 7. Let j = -1.4138 + 0.2126. Let p = w - j. What is p rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (106\/8)\/(3 - 694\/232). Let i = u - 885. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (8 + -6))\/(0 + -73). Let b = x + -71\/146. What is the third smallest value in -5, b, 0.1, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024.755 micrograms in tonnes?\nAnswer: 0.000000005024755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.34 - -0.36. Let k = a - 17.7. What is the nearest to 2\/5 in -0.1, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1950 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -360.3 and 0.7.\nAnswer: -252.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 5*b - 1. Let a be r(-4). Suppose 5*j - 5*x = 0, a*j - 5*x - 18 = -8. Let p = j - -31. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135813 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -1.97. Let l = -74.5124 + -0.0876. Let g = l - -74.7. Which is the third biggest value? (a) g (b) -3 (c) h (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50642\/3 + -16842. Let g(p) = -p**3 + 40. Let r be g(0). Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -776655 and 1.\nAnswer: -776655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (152\/(-133))\/((-4)\/14). Suppose n*j + 3 - 4 = -3*q, 4*j - 4 = -4*q. Solve 4 - 2 = -q*x + 2*o, -5*o = -20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000091181 rounded to 6 decimal places?\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -31, -42, -49, -52?\n\"Answer: 2*o**2 - 21*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 a factor of 72475821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 + 3*l + 2. What are the prime factors of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmjvmkzmmmmmmmkkkm. What is prob of picking 2 z, 1 v, and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d**2 + 3*d - 2 + d)*(d**3 - d**3 + 2*d**3).\nAnswer: -4*d**5 + 2*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:52 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 4*k**3 - k + 3*k - 2*k**3. Let n(g) = -2*g**3 + 5*g**2 - 3*g. Give -4*n(d) - 5*u(d).\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -1756147.\nAnswer: 1053688.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20805 + 20835. Put 5, 86, 3, j in decreasing order.\nAnswer: 86, j, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:07 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(4*r + 2*r - 5*r + (-2 + 2*r + 2)*(5 - 1 - 2) + 25 - 14 - 12 + 18*r).\nAnswer: 23*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6bf1 (base 16) to base 8.\nAnswer: 65761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8109, 32391, 72863, 129531, 202401, 291479, 396771?\nAnswer: 518283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1900, 5971, 12754, 22249, 34456?\n\"Answer: 1356*u**2 + 3*u + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100642079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 5\/211, 3?\nAnswer: 5\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((3\/(-30))\/((-3)\/(-12))). Suppose -2*d = -2*h - 3*d + 8, -5*h = 5*d - p. Calculate the remainder when 12 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2609 + 2621. Solve 0 = -237*v + 241*v + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, -12, 4 in increasing order.\nAnswer: -12, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*f + 6989 = 0, -5*c + 3*f + 11669 = f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**5 - 2*c**2 + (c**3 + 0*c**3 - 2*c**3)*(-2*c + 2*c**2 + 2*c) + 18*c**2 - 26*c**3 + 7*c**5 - 8*c**5 + 27*c**3 + 2.\nAnswer: -5*c**5 + c**3 + 18*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u - 96. Let i be f(7). Suppose 14*j - 228 = 10*j. Calculate the highest common divisor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from {e: 4, o: 1, k: 3, d: 5, g: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 6*w + 6. Let c(z) be the second derivative of z**3\/6 - z**2\/2 + 5*z. Determine 6*c(a) + q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 - -0.05. Let t = -542 + 398.5. Let q = t + 143. Which is the second smallest value? (a) 5 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 62\/11 in descending order.\nAnswer: 62\/11, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 13. Let c be g(-15). Suppose 4*t - 18 = -c. Solve t*v - 1 - 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 83*c + 166. What is p(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 11 = -97. Let n be -35 + 35 + 4\/(f\/(-15)). What is the greatest common divisor of 395 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80714, -80712, -80700, -80672, -80622?\n\"Answer: x**3 - x**2 - 2*x - 80712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804d9 (base 16) in base 13?\nAnswer: 431630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:33 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 39. Determine q(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 10532391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4, -1\/4, 3, 59\/12, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -11\/200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 87. Let h = w + -44. Find the third derivative of -4*l + h*l - 1618*l**4 - 19*l**2 + 1651*l**4 wrt l.\nAnswer: 792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*g + 9*v - 18*v, -3*v + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*k + 8, 3*o + 0*k - 6 = -2*k. Suppose o*b = 43 - 11. Let g = -7 + b. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 69, 98, 129, 162, 197, 234?\n\"Answer: m**2 + 24*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -0*q. Let g = 45 - q. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i - 28. Suppose -2*y + i + 6 = 0. Solve 0*q = 5*q - y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + u - 11, -4*q = -598*u + 597*u - 25. Solve q*f = -f - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 40*n**2 - 33*n + 47. Is d(-20) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263664.4 grams in tonnes?\nAnswer: 0.2636644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4530 by -1.\nAnswer: -4530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-2200)\/24. Suppose -3*l = -g - s, -5*g + 109 = 3*l - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -21*j**2 - 4*j - 18. Let x be v(15). Let c = x - -9457. Let n = c - 3011. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1359003 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-25))\/((-436)\/(-110) + -4) and -11\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0455, -17750, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 147*i + 442. What is s(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*b**2)*(b**2 + 6*b - 6*b) + 3*b**4 - 4*b**4 - b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4 + 8. Suppose q*g + 63 = 3*o + g, 3*g - 33 = -o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4093*d + 20722*d + 25405*d.\nAnswer: 42034*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 110*c**2 - 187*c - 6264. What is w(-109)?\nAnswer: 2238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 6, a: 4}. Give prob of sequence gaa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133687\/12 - -11134. What is the common denominator of m and 47\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 8?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - 2. Let y = o + 65. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16980.\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6003650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 53*w + 68. Put w, -58, 0, 1 in descending order.\nAnswer: 1, 0, w, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from kkbhkbkhbkhkkhb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5.65. Let o = 1.27 - f. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 9. Suppose -2*g + 430 = -a, 2*a - 3*g + 426 = -435. Let t = a - -587. What is the highest common divisor of t and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (564\/(-89112))\/((6\/(-8))\/(-3))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 4 + -17 + (-2 - -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69852 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 + 7*r - 7*r**2 + 0*r**2 + r**2 + 3*r**3 + 6. Let z be 1*(-2 - (2 + 3)). Let b be p(z). Let s(f) = -f - 3. Determine s(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14615 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in 0.1, 2\/5, 0.01, 2\/9, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4536 and 191\/3780.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12937529 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 - 5*k + 97*k**2 + 94*k**2 - 2*k**4 + 4 - 188*k**2 + 2*k**3 to the form i*k + x*k**4 + s*k**3 + r*k**2 + c and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 949\/219 - (-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 8*z + 6. Let j be s(2). Which is smaller: j or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3751\/56 < -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/122?\nAnswer: 3\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/349 (b) 1 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95698*x**3 + x**2 - 4123156 wrt x?\nAnswer: -287094*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -111*z**2 + 196*z + 65. What is the first derivative of k(f) wrt f?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 138, 516, 1262, 2496, 4338, 6908?\n\"Answer: 20*d**3 + 4*d**2 - 22*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 17*n**2 + 2817*n + 4824. Give q(-164).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*u - 1946 + 1944 + u.\nAnswer: -63*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-16)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8592.044l in millilitres?\nAnswer: 8592044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10377 + 35008?\nAnswer: 24741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26222.\nAnswer: 2, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(4048\/165)*(-1)\/(5\/(-2))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*2.313163.\nAnswer: -37.010608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, o: 8}. Give prob of sequence yyoy.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*o = 789*o - 374. Solve 2*l + 42 = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3409 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296 + 140*t + 296)*(2*t - 4*t + 3*t).\nAnswer: 140*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8059 - -8056. What is the second biggest value in 5, w, -3\/4, -0.05, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4834 - -4863. Let o(l) = -7*l**3 - 2*l + 1. Let k be o(1). Let a = 3 - k. What is the remainder when q is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**(-1\/6)\/y))\/y)**(-15)\/((y\/(y*(y*y\/(y\/y**11)*y*y)\/y))\/y**(-10)) assuming y is positive.\nAnswer: y**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 4. Let s be c + 0*(-3)\/(-9). Suppose 2*w = -s, -2*j - 6*w + 2*w = -16. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11502790, -11502779, -11502768, -11502757, -11502746?\nAnswer: -11502735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46706 rounded to 2 dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 618450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 5. Let g be m(6). Let u = -251 - -255. Which is the closest to g? (a) 1\/4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1367*x**2 + 14*x - 7. Let k(g) = 5*g**2 + 2*g - 1. What is 63*k(o) - 9*s(o)?\nAnswer: 12618*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w**2 + 3*w - 1. Let h be t(2). Let q be ((-8)\/12)\/((-2)\/h). Let m = -38 + q. What is the second smallest value in 1, 2\/3, 5, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (30 - 50)) + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3511 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -97*t**2 + 167*t + 93. Let q(m) = -290*m + 250. Let w(k) = 7*a(k) - 5*q(k). Find the first derivative of w(n) wrt n.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34912, -139683, -314316, -558811, -873168?\n\"Answer: -34931*a**2 + 22*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a = -24*a - 23*a + 28980. What are the prime factors of a?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:13 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62531900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -48*i**3 - 6*i**2 + 5*i + 3. Let a(q) = 47*q**3 + 8*q**2 - 6*q - 4. Give -3*a(o) - 4*y(o).\nAnswer: 51*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 23.39?\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4 - 4 + (1 + 2*p - 1)*(-5 + 1 + 1) - p - 3*p + 0*p)*(-p - 3 + 3*p + 0*p).\nAnswer: -18*p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3 + 116*l**2 + 2*l**2 - 4. Let m be r(1). Let g be (-4)\/10 - 3819\/(-285). What is the greatest common divisor of g and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -713710*k**2. Let z(i) = -4*i. Calculate v(z(o)).\nAnswer: -11419360*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 79*v - 43 = 419 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1689 is divided by 160.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 26*c**2 + 5*c + 2 + c**3 - 26*c**2 to t*c + a*c**3 + g*c**2 + x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - -157. Let g = 236 - l. Solve 3*k - 2*k - 5 = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1967, -1929, -1865, -1775, -1659, -1517, -1349?\n\"Answer: 13*a**2 - a - 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(-2*a + 22*a - 8*a**3 + 14*a).\nAnswer: -16*a**4 + 68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58952044 is divided by 671?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2767259 is divided by 50.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 + i - 1. Let p = -47 - -12. Let l = p + 45. Calculate the smallest common multiple of l and u(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, 1128, 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let h be q(-4). Let s be 3\/12 + 2\/h. Let x be (-1200)\/1400 + (-34)\/(-7). Which is the third biggest value? (a) -2 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1556?\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from cqcaian.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.262 - 4.262. Let t = -6 - -5.7. Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*d**3 + 0 - 5*d**4 + 25*d**4 - d**2 + 1 - 19*d**4 + d to the form k*d**2 + l*d**4 + z*d**3 + j + c*d and give z.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/15970, -2\/71, -1\/3?\nAnswer: 3\/15970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 24*i + 50. Let o be u(-2). Let w be o\/(-10) - (-867)\/255. Solve -6 - 1 = -w*g + f, 28 = 5*g + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02217789126 to seven decimal places.\nAnswer: -0.0221779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 + -11563.\nAnswer: -11742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 8*k**2 + 44 - 7928*k + 7911*k - 4*k**2. Give p(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -3 (b) 0.0349 (c) 1\/8 (d) -3\/2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by (4\/3)\/4 + 1568\/84?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(18\/(-12))*21\/(-2). Suppose 0 = -a*k + 1 - 1. Solve -p + 5*b - 22 = k, -37 = -4*p - b - 4*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -2. Let n be 3\/y + 26\/10. Suppose 3*h = -n*h. Solve 4*g - 6 + 3 = 3*r, h = -3*g - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -15. Let o(c) be the second derivative of c**3\/6 - 3*c**2 + 4*c - 18. Let f be o(j). Let y(k) = -23*k**2 + 1. What is y(f)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(5\/3))**(-21) assuming l is positive.\nAnswer: l**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215.1 - 208. Which is bigger: r or 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 6*o - 5. Let r be s(-7). Suppose -h = -r*h + 23. Calculate the remainder when 45 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1083.15 + 1129. Let v = g - 39.7. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -571*n**2 - 72*n**2 + 11*n**2 - 1462*n**6 wrt n?\nAnswer: -175440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixteen fifths of a kilogram?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 2161590?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6971 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k + 5. Let o be j(0). Suppose o*f - 20 = 0, f - 10 = 2*p - 5*p. Factor 2*w**2 + w + 2 + p - 2 + 3*w.\nAnswer: 2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -497 + 751. Suppose -15*k + 91 = -w. Put 5, k, -5 in ascending order.\nAnswer: -5, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from tsyppaytqsaysyppa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(20) + sqrt(500)))\/(sqrt(90)\/sqrt(81)).\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**23*n*(n\/(n\/(n\/(n*n*n**(3\/14)*n*n))))\/n)**48 assuming n is positive.\nAnswer: n**(6984\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + (-17)\/(510\/420).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3906 and -23\/65968?\nAnswer: 593712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323021 (base 4) to base 14.\nAnswer: -1545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 22. Suppose -t - t + 4*b = 6, -s*b = -3*t. Calculate the greatest common divisor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1406 + -1404. Solve -3*v = x*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133696819 to the nearest integer?\nAnswer: 11563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 10*q - 252. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130813 is divided by 43558.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205 and 33?\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/52 - 35\/13. Do z and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -45. Let h = c - 5. Put h, -1\/14, -0.5 in decreasing order.\nAnswer: h, -1\/14, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.547549 rounded to 2 decimal places?\nAnswer: 24.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*p**4*s + 10699*p**3*s - 2*p*s + 7797*p - 7*s - 1 wrt p?\nAnswer: -4452*p**2*s + 64194*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5690000 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/374201?\nAnswer: 1\/374201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i - 69. Let q be a(-6). Let h(t) = 3*t**2 - 12*t + 25. Let k be h(q). Suppose j = 9*j - k. What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -128710520188426 minus -0.4?\nAnswer: -128710520188425.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260057 + 260233.9968. Let i = f - 182. Let h = i + 5. What is h rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 29. Suppose -2*s - a = s, -4*u - 30 = -2*s. Let w be (288\/(-10))\/(u\/(-656250)). Round w to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p)\/(p*p**(3\/2))*(p*p**(-1))\/p*p**(-6))\/(p**(-1)*(p**2\/p)\/p*p*p)**(-1\/10) assuming p is positive.\nAnswer: p**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 3. Let p(x) be the first derivative of m + 0*x + 2\/15*x**5 + 10\/9*x**3 + 2\/3*x**2 + 2\/3*x**4. Factor p(j).\nAnswer: 2*j*(j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 - -27) + -29 + 432\/18 and 11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1 + (-x - x + x)*(0 + 1 + 1) + 4*x - 4 + 4)*(-1 - 1 + 4).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985461 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Let n(f) be the third derivative of 0*f**5 + 0*f + r + 0*f**4 + 1\/2*f**3 - 1\/120*f**6 - 2*f**2. What is the first derivative of n(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = 3. Let q = -8 + 10. Suppose -z - q = -3. Sort t, -2, z.\nAnswer: -2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6662*r - 9840*r + 2643*r + 155870 = -1869*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 0.3. Let m = f + 1.08. Let k = m + -1.6. Does -2\/7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000247692 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 4:03 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/24 + 11*v**3\/6 - 51*v**2. What is h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(4\/(-20))\/((-4)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -227 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 616?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*p + 19, -4*p = 3*q + p - 17. Suppose -1 = -a + 3, d = 4*a - q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-12)*-5*(-6)\/(-60)*8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**34\/(f\/f**(-1))**(-8\/7))\/(f*(f\/f**(3\/5))\/f*((f**(2\/21)*f)\/f)\/f)**(-5\/2) assuming f is positive.\nAnswer: f**(43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = -17*r - 33915. Let w = r + 1570. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -25*t**7\/56 - 3*t**6 - 627*t**5\/80 - 83*t**4\/8 - 15*t**3\/2 - 3*t**2 + 13*t. Find w, given that f(w) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-4)\/120*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170485 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 479 = -4*i + 213, -356 = -b - 4*i. Is 55 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196128926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253476*y**2 + y - 2253341*y**2 - y + 4506632*y**2.\nAnswer: -185*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.42, -2, 0.3 in decreasing order.\nAnswer: 0.3, -0.42, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(42)*-2)\/sqrt(6).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -553*q**3 + q**2 + 2*q + 1. Let l = 289 - 290. What is the hundreds digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, q: 1, v: 5, e: 2, l: 3, u: 4}. Give prob of sequence eql.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4526bc (base 13) in base 7?\nAnswer: -16612336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 145.4. Let p = -0.8 + 1.7. Which is the third biggest value? (a) p (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 54*n - 466*n**2 + 868*n**2 - 403*n**2.\nAnswer: -n**2 + 45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, o: 5, j: 7, g: 1, d: 4}. Give prob of picking 2 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73621928 to the power of 1\/3, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560993, 560844, 560605, 560282, 559881, 559408, 558869?\nAnswer: 558270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/15*(-315)\/9702*-14\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 283*a + 917. Let r be y(0). What is the greatest common factor of r and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.1 - -21. Let r = 17 - 21. Which is the third smallest value? (a) -0.3 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3534.0331 + -3534. Round f to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8451 + (-3 - 16) + 7 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzffcccccxzz. Give prob of sequence xfz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 3750*k + 64582. What is d(-17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -41. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*i - 366 = 0, 7*l - 5*l = 3*i + 174. Calculate the greatest common divisor of l and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1269 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 + 5 = 0. Solve -4*i = 2*k - u*i + 4, -5*k + 4*i - 36 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 124. What is the remainder when 155 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -1\/8 (c) 1 (d) -79 (e) 7 (f) 77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 198, 307, 314, 135, -314?\n\"Answer: -14*f**3 + 75*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1412364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 29*k**2 - 210*k + 5. Let l be h(-16). Solve -480 = -43*g - l*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4409 - 154*z**3 - 147*z**3 + 63*z**3 - 4409.\nAnswer: -238*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23064 or 6?\nAnswer: -23064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1210158 divided by -9\nAnswer: 134462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + (2 + sqrt(1900) - sqrt(1900)) + 3 + (-5 + 2*sqrt(1900) + sqrt(1900)*3 + -1)**2)*-3.\nAnswer: -142623 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -28*z**3\/5 + 2*z**2\/5 = 0.\nAnswer: 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44627*l**3 + 5409*l + 20620742.\nAnswer: -133881*l**2 + 5409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 40.1. Let q = b + 60.1. Round q to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 524311.9 hours?\nAnswer: 1887522840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/360 - 7*n**5\/360 + n**4\/36 - 5*n**3\/6 - n. Let d(c) be the second derivative of y(c). Factor d(u).\nAnswer: (u - 2)*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - (-2470)\/330) + 4\/22. Which is the closest to 8? (a) -1 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29472 is divided by 29351.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*y**2 + 465*y - 465*y in the form t + q*y + l*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(-1\/11))**(-9\/10) assuming v is positive.\nAnswer: v**(9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 + h**2 - h - 2. Let w be s(2). Suppose 0 = -5*a + w + 24. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15342 + 18691. Is z a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 j, and 1 m when four letters picked without replacement from {o: 4, j: 4, g: 2, m: 1, f: 3}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30040.96*-0.5.\nAnswer: 15020.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*f - 74476, 6*a - 5*a - 3*f = 18615. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from sbsddddbs?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/3 - 7*a**2\/3 + 2*a\/3 + 40\/3 = 0.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/(-48)*144\/160 + -8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r - 952. Let d be h(-53). Solve -14*i + 19*i + 10 = 0, -d*x - i = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375 (base 12) to base 9.\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209.62812 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 5*b + 5*m + 20, -10 = 2*b + 3*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.59826 nanograms in micrograms?\nAnswer: 0.07459826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 105.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*m + 33. Suppose b - m = -0*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13833, 13708, 13585, 13464, 13345, 13228, 13113?\nAnswer: 13000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + 962\/(-4). Let h = a - -242. Let c = -0.1 + -3.9. What is the second smallest value in c, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13102?\nAnswer: 2, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*i - 5*t - 16, 0 = -3*t - 15. Solve -i + 4 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4129\/66 + -181\/3. What is the common denominator of m and -31\/3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, c: 4}. Give prob of picking 3 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t = 3*u + 141*t - 96, t - 4 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58249274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 5*z - 9. Suppose -6 = 3*s - 0*s + 3*v, 0 = -3*s - 5*v - 2. Let m(h) = -4*h**2 + 4*h + 7. Let a(l) = s*m(l) - 3*i(l). Determine a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)*q*q*q**(-14)*q**(-5)\/q*q*q*(q**(3\/17)*q)\/q*q)**(-27) assuming q is positive.\nAnswer: q**(46710\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*f + 2 - 38 = 0, 8*f = -72 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 4*z + 102 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5892316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbuxuwqp. Give prob of sequence ubw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 5692 + 4990 = -29*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/(b*b*b\/(b\/(b\/(b**(-3)\/b)))))**32 assuming b is positive.\nAnswer: b**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9478471 divided by -3\nAnswer: 9478471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2038699 and 8782088.\nAnswer: 114167144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 47 = -y, 2*y = 2*h + 5*y - 37. Let r = -24 + h. Solve 3*o = -0*n + r*n - 6, -o - 3*n = 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*h + 107*h**2 - 103*h**2 - 95*h - 17*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*10\/(-80)*(-1)\/2. Sort d, 1, -14 in decreasing order.\nAnswer: 1, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1150551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*d**2*q*u**4 + 366552*d**2*q*u - 2*d**2 - 3462*u**5 wrt u.\nAnswer: 900*d**2*q*u**2 - 69240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33461710 (base 8) to base 3.\nAnswer: -111121112212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9986 and 11?\nAnswer: 109846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2. Let q be 12\/(-16) + (-15)\/(-4). Let b(g) = -q*g + 0*g + 0*g. Give b(h(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + -1 - -5. Let b be (2 - 2) + 106*3. Let x be b\/27 + 4\/18. Solve 0 = -s*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 102106?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6830504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788615.\nAnswer: 5, 109, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136\/231 - 6\/77. What is the third biggest value in -1\/11, t, 1, -1\/12?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2*p**3 - 4 + 1\/2*p**5 + 22\/3*p - 1\/3*p**4 + p**2 = 0 for p.\nAnswer: -2, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/153 and (-182)\/4914*(-3 - (-2 - (-62)\/56)).\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 24. Solve 0 = -w*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 9*a**2 - 6*a - 8. Suppose 3*s - 15 = 2*p, -4*p + 1 + 11 = 0. Is h(s) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 86 = -292. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55310252 (base 7) to base 8.\nAnswer: -22116605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4128 - 5?\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1867\/9 - 9548\/45. Calculate the common denominator of -57\/55 and z.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 209 and -112982717?\nAnswer: 112982926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 12. Let i be (-8648)\/391 - (-3 + (-147)\/(-51)). Give f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 16 + 12. Let n be -2 - -2*f\/4. Suppose 4*l - 40 = -4*l. Solve -l*h = -k, -h = k - n*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*z**4 - 2*z**3 - 2*z**2 + 3*z + 66?\nAnswer: -1680*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 6. Let c be i(-6). Find the third derivative of c*u**2 - 3*u**2 - 2*u**5 + 0*u**2 + 0*u**2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67785178 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -223, -444, -667, -892, -1119, -1348, -1579?\n\"Answer: -b**2 - 218*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (73 - (-20)\/(-4))\/(6\/21) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116079 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**2 - 4*n + 9. Let g(z) = 2*z**2 + z - 1. Let w(x) = -4*g(x) + m(x). Let a(i) = 2*i**2. Determine w(a(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 21. Let q = 73 + -37. Calculate the greatest common divisor of z and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-5)*(-3)\/4. Which is the nearest to 1? (a) j (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1834812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -18022.0556 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**2 - 29 - 18*q - 2*q**2 + 11*q**2. Let i be v(-16). Suppose i*h - 1271 = -4*w + 3*w, -h = 2*w - 432. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = -76*v + 115*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2*b. Let t(r) = -243*r**2 - 8*r. Give 4*m(v) + t(v).\nAnswer: -239*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 21*v - 37 = -5*q, -5 = 5*v. What is the remainder when 6\/18 - (-101)\/3 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**8\/112 + t**5\/12 - 7*t**2. What is the third derivative of l(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s + 3. Let h be f(0). Suppose 3*r = h*d + 5*r - 11, 0 = 4*r - 4. Suppose -13 = -d*p + 2*p. Solve -p = 3*z + u, 5*z = z + 4*u - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 924336*s**2 - 59. Let z(p) = 2*p. Calculate i(z(c)).\nAnswer: 3697344*c**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 + -141. Let m = t - 114.6. What is m rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387878 is divided by 693872?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*4 - sqrt(1584)) + sqrt(1584) + 0 + sqrt(33)\/(-1*sqrt(33)\/sqrt(11)))**2.\nAnswer: 24299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x**2\/x)\/x*x*x*x**3*x*x**(2\/3)*x\/((((x*((x\/(x\/x**(-1\/4)))\/x*x*x)\/x*x)\/x*x)\/x)\/x)*((x**(-2\/11))**50)**(-13) assuming x is positive.\nAnswer: x**(16777\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6.2, 2, 2\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17570546359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 362*p - 355*p - 15 - 2*p**2 + 4*p**2. Let x be (-54)\/8 - 1\/4. Is 8 a factor of l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = 2*n, 5 = 2*n + 2*z + 3. Suppose 0 = n*x - j, 2*x - 4*j = -9*j. Suppose x*k + 3*k = 3*d + 3, -4*k = d - 24. Let v(c) = -c - 5. Give v(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 + 3*t - 4. Suppose -4 = q - 2. Let r be q\/((-4)\/14) + 2. Let b = r - 5. What is z(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 35 = 0. Let s(h) = -h**3 + 8*h**2 - 5*h + 4. Let i be s(f). Let m = i + 22. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 445743?\nAnswer: 891486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -568.3 + 568. Which is the closest to 19? (a) 1\/4 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 2. Suppose 0 = -3*m + 3*w + 30, -506 + 501 = m + 4*w. Let f(r) be the third derivative of -r**4\/24 + r**3\/3 - r**2. Give m*f(a) + 6*l(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79460 - -85640. What is d rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*l - 70. Let u be (84\/l)\/((-2)\/(-5)). Let d be -1*1*u\/14. Which is the second biggest value? (a) 0.5 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*g - 16, -3*g - 47*l = -51*l - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68612.04 seconds in minutes?\nAnswer: 1143.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**3 - d**2 - d. Suppose -5*r = -0 + 5. Let i be m(r). What are the prime factors of (10 - 0)\/(i\/(-40))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.402 - 261.402. Let y = -260.99999679 - s. What is y rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*i + 236*i + 11*h + 92, 47 = 5*i - 3*h - 29 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 - -223. Suppose w*j + j - 6336 = 0. Calculate the greatest common factor of 33 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, g: 2, w: 2}. What is prob of sequence wy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 19. Suppose z = m*z - 375. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23440376 (base 8) in base 15?\nAnswer: -6b4816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 282 - 2d19?\nAnswer: -2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132117 by 44039.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 2 d when four letters picked without replacement from zuddzdziddzuddux?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -1\/8, -0.05, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.5 (b) 14 (c) -5 (d) 0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 2 r when four letters picked without replacement from dtdrtetdred.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833207?\nAnswer: 19, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.3 + -30. Put 4, s, -0.1, 3 in descending order.\nAnswer: 4, 3, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/24*(-4 + 6 + -2). Which is bigger: h or -2\/19179?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 22 + 60 - 146)*(-2*s - s + 4*s).\nAnswer: -41*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*i*m**3*n + 77*i*m**2*n + 8*i*m**2 - 10*m**3 - 5*m wrt n?\nAnswer: -49*i*m**3 + 77*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose f = -j, j - 13 = -m - 6. Suppose -4*s - g + 16 = 0, -3*g - m = -s + 2*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 0 - y + 3. Let g be n(3). Let z = g - -13. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 53*i + 202 = 0, 5*w - 4*i + 2427 - 2436 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -62. Suppose w*q + 40 = 2*q. Let t be 32*-1*q\/8. Calculate the highest common divisor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-7 + (-1 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 3*t - 143 + 151)*(2*t**2 - 1 + 1) + 227*t**3 - 351*t**3 + 213*t**3 in the form i*t**3 + z*t + g*t**2 + c and give i.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17658 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 39 = -435 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146.93 + -151.93. Which is the nearest to 0? (a) -0.1 (b) 0.021 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let k be 2\/(-3)*(2 - 5). Let v(t) = -10 + 10 + k*t - 3*t. Determine l(v(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110110 + 0?\nAnswer: 1111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33718242 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -946722 - -659502. Let f = t - -117220. What is f rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7392101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002169789 to 7 dps.\nAnswer: -0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104979 less than -35189?\nAnswer: -35188.9895021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3150\/(-5670) + (2\/8 - (-95)\/20). Is 15 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 3beb7?\nAnswer: -3be9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 - 1348*n + 6886. Give u(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1246168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4342114 (base 6) to base 7.\nAnswer: 1555420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 14*i**2 - 13*i + 15. Let c be b(13). Suppose -5*v + c + 5 = 0. Suppose 0*w = 5*w - 45. Solve w*f - 5 = v*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-375*q - 1816*q - 624*q - 1957*q)*(-2 - 11 + 5) in the form r*q + x and give r.\nAnswer: 38176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -158. What is the common denominator of 232\/50 - ((-160)\/q)\/4 and 31\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2*0)\/(36\/(-18)). Let t(n) be the second derivative of 0 + g*n**3 + 2*n + 0*n**4 - n**2 + 3\/20*n**5. Find the first derivative of t(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 0\/2*(-23)\/(-46). What is the highest common factor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*(-40)\/(-15). What is the second derivative of 3*w**4 - j*w**4 - 5*w**4 - 11*w - 8*w**4 wrt w?\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*(-66)\/55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:32 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4056 or 4053?\nAnswer: 4056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let a be 36\/10 + s\/10. Suppose -a*n = -3*q - 17, 0 = 2*q - q + 3. Solve n*p - 5 + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8824430.\nAnswer: 2, 5, 41, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1594 + 401. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243583 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 13\/3*o**4 + 11\/10*o**5 - 7\/60*o**6 - 13*o**2 + 0*o + 4*o**3 + 0. Factor k(c).\nAnswer: -2*(c - 6)*(c + 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 3, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -227. Let i = 102.999935 - l. What is i rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + 3*c)*((-2 - 1 + 0)*(-3 + 0 + 1) + 5 - 5 - 2)*(-17 + 48 - 22).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 38*n**2 + 74*n + 75. Let r be l(-36). Suppose o - 160 = 8*g - 6*g, -3*o - r*g + 480 = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7393*w + 7434*w - 14984*w)*(0 + 2 - 1) + w + 3*w - 2*w.\nAnswer: -155*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 + 64*l. Let t be v(9). Suppose 14*a - 13*a = t. What is the smallest common multiple of a and (1\/2)\/(2\/20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -114491 (c) 1\/9 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6 + 2*y**3 + 4*y**2 + 1. Let o(b) = -b**2 + 1. Let p be (-5)\/(-2) + 5\/10. Suppose -p - 1 = 4*j. Calculate j*l(x) - 5*o(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-585*p**2 - 103819*p + 103819*p)*(2*p - 6*p - 2*p).\nAnswer: 3510*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.887043 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793 + -275. What are the prime factors of k?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and -0.0532.\nAnswer: -0.0011704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*(36\/(-4) + 0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39105 and 35550.\nAnswer: 391050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7402641mm?\nAnswer: 740264.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19434\/155 - 4065489\/310. Let n = h + 13000. Calculate the common denominator of n and 59\/202.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606571.\nAnswer: 29, 55399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oofoaafafaaal. What is prob of sequence lfo?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:53 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a6?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.020365 and -0.0056.\nAnswer: 0.000114044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 3 - 5 + 2*n**2)*(-3*n**3 - 3*n**3 + n**3).\nAnswer: 5*n**5 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 - 2*q**3\/3 + 8*q\/3 + 8\/3.\nAnswer: -(q - 2)*(q + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22620501 to the nearest integer?\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12316299*j**2 + 3 - 6 + 3.\nAnswer: 12316299*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**2 - 2*v + 2. Let c(u) = -135*u + 1 + 6*u**2 + 200*u - 66*u. Determine 9*c(x) - 4*m(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 11:53 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*c = g - 1990, -4*g + 5*c + 2653 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4175\/3057?\nAnswer: -4175\/3057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 5. Let a(r) be the first derivative of r**3\/3 - 7*r**2\/2 + r - 82. Let z be a(2). Give l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in -0.0041, 5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/35 - (-494)\/14. What is the highest common divisor of 140 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1982516006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -17) + -1 + -138 + (66 - 48).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**2 + 28*g + 3. Let y(f) = 10*f**2 + 29*f + 4. Let d(v) = 4*u(v) - 3*y(v). Let k(b) = b**2. Give k(d(s)).\nAnswer: 4*s**4 + 100*s**3 + 625*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_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 2460701303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11503663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20447 divided by 7\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 - -121.999899. What is k rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390403983, 390403981, 390403979?\nAnswer: 390403977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10, 13 - 377 = -o - 5*r. What are the prime factors of o?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4355.\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**2)**43)**(-10))**(-28) assuming t is positive.\nAnswer: t**36120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 28*m**2 - 28*m + 36. Determine a(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4363, -7940, -11517, -15094, -18671?\nAnswer: -22248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 8*y + 285 - 20*y**3 + 5*y**3 - 10*y.\nAnswer: -15*y**3 - 2*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 1 + 2*p**2 - 3 - 2. Let v be k(-3). Factor -18*n**3 - n + 10*n**2 - v*n**4 - n - 4*n**5 + 22*n**4.\nAnswer: -2*n*(n - 1)**3*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 3. Let q be h(2). Let u be -3*5\/q*13. What is the highest common divisor of 221 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/6 + z**3 + 7*z**2\/2 - 15*z. Let r be j(-3). Solve 4*g = v + 17, 0*g + v = 2*g - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + 2*l)*(-3*l + l + l) - 2038 - 15*l**2 + 2038 + 5*l + (-5*l + 4*l - l)*(5*l + 4*l - 4*l) to the form p + n*l**2 + r*l and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Suppose -m*n + 8*n = 78. Let c = 103 + -90. What is the greatest common factor of c and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 15. Let u be n(4). Put -4, 3, u in decreasing order.\nAnswer: u, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01335552163 to six dps.\nAnswer: -0.013356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117122323 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 7, 14, 31, 64, 119, 202, 319, 476?\n\"Answer: s**3 - s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3. Suppose d - 3 = 0, -2*o + 2*d - 15 = -3*d. Let w be k(o). What is the units digit of (74\/8)\/(w\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387670 is divided by 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 4:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10969456 by 1371182.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2. Let p(y) = 2*y**2 - 3*y. Let r(z) = 2*z**2 - 2*z. Let u(x) = 4*p(x) - 6*r(x). Calculate u(w(b)).\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, r: 1}. What is prob of sequence rrd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 10*r + 3. Let u be y(5). Suppose -2*l + 111 = -0*l + u*t, 3*l = -2*t + 179. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2574427*u + 2574363*u - 2.\nAnswer: -64*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -64*v**2 + 2*v**3 - 10*v - 62*v**2 + 126*v**2 - 10. Let o(z) = -z - 1. Calculate b(i) - 10*o(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2, -3.\nAnswer: -40, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 2, -551, -3 in decreasing order.\nAnswer: 2, -1, -3, -6, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6967 + -6913. Are 15 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a factor of 354152666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -2*f + 2*i, 0 = 2*f - 4*i - 6. Let b be f - ((-398)\/(-8) - 3\/(-12)). Let q = b - -131. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680 - 67*r - 163*r - 1679 + 102*r.\nAnswer: -128*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3685, 7561, 11681, 16045, 20653, 25505, 30601?\nAnswer: 35941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -600*j - 15. Let m(t) = -150*t - 4. Calculate -15*m(s) + 4*r(s).\nAnswer: -150*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let o = -8889\/8 + 1111. Which is the smallest value? (a) n (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3782*d - 3777*d. Let r be 1\/(-4) - 50\/(-24). Is r at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-154)\/(-56))*27\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 289 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (972\/(-8) - 7)\/(3\/6). Let o = 54 - c. What is the remainder when o is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35376 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 219105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpoxpsm. Give prob of picking 1 o and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u - u + u**2 + 8*u - 4*u**2 = 0. What is u?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12 - 34 + 10*r - r**2 + 15*r - 11. What is the units digit of b(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -14*b - 5*b + 7*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1149 + 1539. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 1\/10*a**5 + 5\/6*a**4 + 5\/42*a**7 + 0 - 7\/6*a**3 - 22*a + 1\/2*a**2 - 11\/30*a**6. Factor p(h).\nAnswer: (h - 1)**3*(h + 1)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 4, 0, 2886939 in ascending order.\nAnswer: -1, 0, 4, 5, 2886939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:01 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(720) - sqrt(720)))**2 + sqrt(720) + -2 + 4.\nAnswer: -276*sqrt(5) + 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18.4 - 2875652266\nAnswer: -2875652247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172360732 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*p**3 - 21*p**2 + 7*p.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896349259 + 0.167224.\nAnswer: -896349258.832776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**3 - 18490*o**2 - 84672*o.\nAnswer: o*(o - 2646)*(7*o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*17.3006691\nAnswer: 10.38040146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*b + 76, -2*b + 290 = k + 4*k. Suppose a - 177 = -k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753400 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 838362 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 81*m**6 + 3 + 75*m**6 + 8*m**2 wrt m?\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1190\/10369 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -8. Let j(b) = 9*b**3 + 2*b**2 + 7*b - 7. Let u(r) be the second derivative of r**5\/5 + r**4\/12 + r**3\/2 - 3*r**2\/2 - r. What is w*u(l) - 3*j(l)?\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -110, 0.06, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*m = -356, -5*q + q + 5*m + 714 = 0. What are the prime factors of q?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x)**(-1\/11)\/((x\/x**(-4))\/(((x\/x**(-2\/9))\/x)\/x)) assuming x is positive.\nAnswer: x**(-2887\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -58. Let w = 3\/211 - -3361\/1055. Is p at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2*-3 - sqrt(152))\/(6*sqrt(24)\/sqrt(3)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -172625\nAnswer: -69050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, k: 1, d: 2}. What is prob of picking 1 a and 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 189\/36. Solve o = z - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 - -0.09. Suppose -u - 4*u = 35. Let p be (-16)\/(-14) + (u - -5). What is the second smallest value in o, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/22*8*15\/(-120).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 5, 0 = -2*c - n + 1. Suppose -d + 4*x - 9 + c = 0, 4*d = 2*x - 22. Let i = -25 + 26. Is d less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -0.1 (c) -2089 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(136)*1 + sqrt(136))\/(4*(sqrt(32) - sqrt(8))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 7*u - 8. Let j be y(-7). Let i(o) = -3*o**2 - 3*o - 7. Let t be i(j). Let l = t + 320. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*t = 11, -5*t = -b - 16 + 2. Let l be (-7)\/(-5) - (-102)\/170. Solve y + l = s + b, s - 3 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 7*l**6\/66 + 138*l**5\/55 + 505*l**4\/22 + 3200*l**3\/33 + 3375*l**2\/22 - 1250*l\/11 - 66. Find a, given that r(a) = 0.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-33) - 102343536\/(-5049)?\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 + 5*r**3\/2 - 25*r**2\/2 - 493*r. Give p(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.8 * 163.\nAnswer: -1597.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y. Let t be w(-7). Let p be t\/1*(-76)\/4. Let v = -146 + p. What is v rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than or equal to 668\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 122 (b) 0.1 (c) -2 (d) -0.5 (e) -464.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*j = -183, 2*j + 2 = -0*j. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:07 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 189138405 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(35)\/sqrt(7))*-1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 - 6*t**3 - 11*t**3 - 13*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 74. Suppose s + 1 = -5*o + 5*s, o - 3*s + 9 = 0. Suppose -m = o*a - 8*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1440, 3026, 4700, 6462, 8312, 10250?\nAnswer: 12276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8262929ng to grams.\nAnswer: 0.0000000008262929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 17*x**3 - x**2 + x - 1. Give o(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 s when four letters picked without replacement from {y: 6, d: 2, s: 5, u: 1, e: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6711*d**2 + 3 + 2 + 1 + d.\nAnswer: -6711*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 6*a - u + 923, 4*a - 3*u = 3699. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1168 and 2336.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105672 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -141, -114, -99, -102, -129, -186, -279, -414?\n\"Answer: -l**3 + 34*l - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-267)\/(-356)*3*(-8)\/(-6). Let q(a) = 3*a + 36. What is the remainder when q(w) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -2\/3, 6\/7, -0.01122, -5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/93573 and 35\/93.\nAnswer: 2900763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18061 and 597.9?\nAnswer: 10798671.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1739 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 3*u + 7. Let v be a(-3). Solve v*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d, 0*g - 5*d + 21 = 2*g. Suppose g*m - 14 = 2*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -77691294.0503.\nAnswer: -77691294.3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:23 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13687.509395 rounded to the nearest integer?\nAnswer: 13688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 12*r - 12.\nAnswer: -3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6654032 + 6654268.99798. Let w = -0.164 - -237.164. Let u = w - d. What is u rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -224, -469, -812, -1253?\nAnswer: -1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r + 0*r)*(-7 + 10 - 7)*(-2*r + 2*r + r).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/2 - 29*a**3\/2 + 31*a**2 = 0.\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14561985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpyuqiqypquqpp. What is prob of sequence iypy?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*o - 2*c + 3, 4*o + 5*c = -3. Suppose v = o*r - 543, r - 181 = v - 3*v. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*r + 6*r. Let b(x) = 5*x - 10. Let o be b(r). Let v(f) = 6*f - 4. What are the prime factors of v(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -44. Let j = u - -20. Is j != -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13))**(38\/3)*m**(-8)*(m**5*m)\/m)**(7\/9) assuming m is positive.\nAnswer: m**(-287\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 255157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(0*j - j + 4*j)*(5 - 2 - 2).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16*u**5 + 156*u**4 + 216*u**3 + 44*u**2 = 0.\nAnswer: -1, -1\/4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let s = -0.62 - 2.38. Which is the nearest to z? (a) 0.3 (b) s (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*b*j + 280776*b + 365*j wrt j.\nAnswer: 29*b + 365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 33*n + 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2722.378 millilitres?\nAnswer: 2.722378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*u + 3 = 0, c = 6*c + 2*u - 23. Let v(p) = -p**3 + 4*p**2 + 7*p - 1. Let r be v(c). Let z(l) = -l + r*l + 2*l. Determine z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 9*d**2 - 319*d - 1261. Give t(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 29 = -0*d. Let r = d - -22. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**6\/42 - w**5\/7 - 5*w**4\/28 + 5*w**3\/21 + 3*w**2\/7 + 44. Find l, given that m(l) = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 953, 1830, 2729, 3662, 4641, 5678, 6785, 7974?\n\"Answer: 2*q**3 - q**2 + 866*q + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1020196, 2040393, 3060590, 4080787?\nAnswer: 5100984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54674095*y**6 - 10576118*y**2 - 2*y?\nAnswer: -6560891400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.52? (a) -582 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, -0.04, -3, 5 in descending order.\nAnswer: 5, 4, -0.04, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n + 8 + 66 = -220 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -60, -89, -118, -147, -176?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1962, -7760, -17422, -30948?\n\"Answer: -1932*k**2 - 2*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*y = 18. Let t be ((-50)\/(-30))\/((-4)\/y). Is -1 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/26459 + -1402411\/1111278. What is the common denominator of l and 13\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 139. Let c(i) = 15*i - 348. Let r(s) = -5*c(s) + 12*g(s). Let v = 610 - 588. Let z be r(v). Solve -2 = -2*a + z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:37 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/150)\/((6 - 2)\/20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -4*m. Let o be (-60)\/35*14\/m. Is 4 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u + 11*u + 48*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h - h - 5*r, 1 = -h + 4*r. Suppose 39 = 4*m + 2*y + 17, -2*m = -h*y + 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26528625 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114512 by 28628.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.06. Let a = 0.26 - m. Let v = -2.3 + 2. Put v, -0.2, a in increasing order.\nAnswer: v, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 11 = -8*p. Calculate the least common multiple of p and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -2 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 + 161.5. Round t to the nearest integer.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*5*(sqrt(84) + 3*-1*sqrt(84)))\/(6*(2*sqrt(588) + sqrt(588) + sqrt(588))*-4))**2.\nAnswer: 25\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45\/4 + 11. Let b = 0.36 + -0.06. What is the second biggest value in b, -5\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -1, -23, -2, -87, 93 in descending order.\nAnswer: 93, 11, 2, -1, -2, -23, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 2. Let d be l(-2). Suppose -13*w = -14*w + d. Solve w*a + 3 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyylyzzylzzyyyzzh. What is prob of picking 1 y, 1 l, and 1 h?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54706 + -38774. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 0*j**2 - 2*j**2)*(4 - 4 + 1 + 3 + 3 - 4 + (2 + 2 - 6)*(2 - 1 + 0) + 7 - 3 - 2)*(307*j + 671*j - 148*j).\nAnswer: 2490*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 920.603 to the nearest integer.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/37445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1, -5, 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-1\/4)*d)*d**2\/d)**(-13) assuming d is positive.\nAnswer: d**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*c - 2038 - 11822. What is the highest common divisor of 6860 and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(80\/295)*4. Suppose 4*n = 5*n + h + i, 286 = -5*n + 4*h. Let r = n + 62. Solve 3*s + 11 = -r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2495962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 6576.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 30*p + 718. Calculate u(46).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154360514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/60 + z**5\/20 - 7*z**4\/24 - 10*z**2. Let j(s) = s**3 - s**2 + s. Calculate 3*j(n) + r(n).\nAnswer: n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 p when three letters picked without replacement from yupamyymmuyymyymm?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + d**3 + 9641*d - 3217*d - 3214*d - 3210*d. Let c(t) be the third derivative of t**4\/24 + t**3\/3 + 2*t**2. Let y be c(-4). Calculate o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:34 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9185 and 53120195?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*t - 59*t = -30*t - 891. Solve -4*y + 10*y + t*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 277631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101101101100 (base 2) to base 6\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udndozdduoz. Give prob of sequence ud.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -12 + -3 + -8 + 22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2831310 divided by -5\nAnswer: -566262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -64. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 185721 + 3241 = 140752. Is 148 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8269 is divided by 704?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 6*f**2 + 20*f - 43. Calculate i(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 309 + -163. What are the prime factors of p?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2843776 and 109\/273440?\nAnswer: 14218880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -2389, 1\/136?\nAnswer: -2389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose 2*k = -t*k. Suppose k = -6*x + x + 30. What is the lowest common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 11*w**2 - 11*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.312 - -4.688. What is the second biggest value in 3\/2, -1, -0.18, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -11177282?\nAnswer: 22354564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100001012010120012 - 10?\nAnswer: 100001012010120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:53 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -19e526?\nAnswer: -19e532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61532.\nAnswer: 2, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 11*q - 2. Let t be (3\/(-6))\/(-1)*8. Suppose 0*r + 36 = t*r. Is f(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*d**5 - 23*d + 305*d**5 - 2 - 185*d**5 wrt d.\nAnswer: -740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -397 - -397. Let s(i) be the first derivative of 0*i + 2\/21*i**3 - 5\/14*i**4 + q*i**2 - 1 + 8\/35*i**5. Factor s(m).\nAnswer: 2*m**2*(m - 1)*(4*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(64\/36))\/((-126)\/(-336)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 127328*f - 1013276224.\nAnswer: -4*(f + 15916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 6*f**3 + f + 5 + 22 + f to x*f**3 + c + g*f**2 + m*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 801 - 792 + 2*d**3 + 2*d**3 + d**3. Let l(b) = 9*b**3 + 17. Determine -11*f(z) + 6*l(z).\nAnswer: -z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/2 + 117*g\/2 + 60 = 0 for g.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 1*sqrt(187)*-5) + 4*(sqrt(187) - -1*sqrt(187)))\/(1*sqrt(11)*-1*-3).\nAnswer: 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516251, 1032490, 1548725, 2064956?\nAnswer: 2581183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 15. Let s be (-16)\/5 - (o - -4). Let g be 13 - -5 - (-3 - -25). Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*(-5 + 1 + sqrt(475)*1 + 4 + (-2*sqrt(475) - sqrt(475)))*4)*6)**2.\nAnswer: -5760*sqrt(19) + 4377636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45389*y**5 + y**2 - 5270*y - 57.\nAnswer: 907780*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 - 1)*(45 - 70 + 53)*(1 - 1 + 2*f) - 37*f - 17*f + 11*f + 2 - 4 - 5*f + 3*f)*(2 - 2 + 1).\nAnswer: -213*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/7, 20, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60531*m**3*n**3 - 5830*m**3 - 6079*n**3 - 3*n**2 - 52*n - 23 wrt m?\nAnswer: 181593*m**2*n**3 - 17490*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -530*k**3. Suppose -4*g = -17 - 7. Let c = g - -4. Let y be u(c). Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2 - 1\/4*y**4 - 2*y**2 - 2\/3*y**3 - 3*y. List the prime factors of q(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.01 + -63. What is i rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i + 176*i + 16280 = -832 - 14088 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 18*k - 105. Suppose -k*r - 6*v + 557 = -2*v, -5*r + 2*v = -569. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105770827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**6\/3 - 911*t**4\/4 + 99*t**3 - 3*t - 7751. What is the third derivative of h(s) wrt s?\nAnswer: -240*s**2 - 5466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 + -321. Which is the closest to i? (a) 0.07 (b) 0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/120 + 4*q**5\/15 - 7*q**4\/12 - 7*q**3\/2 - 7*q**2 + 16. What is w(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 divided by -890?\nAnswer: -227\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -16 (b) 2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-16)\/(-10))\/((-84)\/(-70))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 - 859 = 7*z. Let m = 265 + z. Calculate the lowest common multiple of 52 and m.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3021995 to the nearest 1000.\nAnswer: -3022000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, -2\/13, 3, 8, 14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let x(c) = 23*c**2 + 5. Let h(u) = 81*u**2 + 18. Let i(n) = -5*h(n) + 18*x(n). Give a(i(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30527 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -340\/1449 + 2\/161. Let h = 3.02 + -0.02. What is the second biggest value in -0.3, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 4*r + 7*r, 0 = 3*r. Let j(x) = -x + 2. Let m be j(-2). Solve -d*u + u = m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 4492513*z + 2245999*z + 2246512*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1298 and -109\/343848.\nAnswer: 223157352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1153, 2335, 3599, 4981, 6517?\nAnswer: 8243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6982*o**2 - 189*o - 734. Let v be w(-4). What is v rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*p + 2*p + 5)*(0*p - p - p - 5*p + 5*p + 2*p + 3*p - p - p + (3 - 1 - 1)*(3*p - 3*p + p) - 2*p + 2*p + p).\nAnswer: 6*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 17, x: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 35 = r, 2*g + 2*r - 1 = 5. Let z = g - 17. Does z = -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 7\/28*-4. Let q(n) = -n**2 - 14*n - 48. Let b be q(l). Solve b + 2 = 2*s - k, 14 = 4*s + 3*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c + 234. Let k be n(9). Let l be (9\/k)\/(8\/(-282)) + 6. Which is greater: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b41 (base 15) to base 4.\nAnswer: 12120301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2105841 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-1008))\/(((-135)\/18)\/5)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*((-2 + sqrt(2592))*-3 + -1 + -2)*1)**2.\nAnswer: -5832*sqrt(2) + 210033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 11*i - 5. Is (-2)\/3 - (i - 411\/9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 131 = -4*p, 3*p + 30 = -365*s + 366*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.04 - 20. Sort 2, -0.4, b in descending order.\nAnswer: 2, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 - -2441356?\nAnswer: 2441463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516250 divided by -2.\nAnswer: -258125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10358 + 191*q + 10358 to the form m + w*q and give w.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*q + 1248 + 6074 = -37 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -943606\/1095486399 + -2\/238201. Find the common denominator of r and -107\/504.\nAnswer: 36792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14883542.1 hours to weeks.\nAnswer: 88592.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Let r = 302 - 321. Sort r, 0.2, j in decreasing order.\nAnswer: j, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-0.03\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25172*b**4 - 126*b**2 - 4*b - 6 wrt b?\nAnswer: 604128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126372431 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than 5176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 28136?\nAnswer: 56272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3282032.\nAnswer: 2, 13, 31, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 6*g + 1. Suppose 3*u - 135 + 27 = 0. Let s be -3*(8\/u - 92\/36). Determine y(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 33*s**3 + s**2 - 5*s + 10. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/528176 and -53\/176?\nAnswer: 528176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15914 + 15911. Which is the closest to -1? (a) 190 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*n + 53, n + 21 = -5*p - 53 + 96 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfvffffyyfvf. Give prob of picking 2 f.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(32) - ((sqrt(16)*1)\/sqrt(8) + sqrt(2)))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - ((1 - 3) + 1). Suppose 0 = 2*a + n*a - 16. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Let x = -6 + 8. Which is the nearest to x? (a) g (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(90)\/(sqrt(6) - sqrt(96)))\/(sqrt(400)\/sqrt(5)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-387793)\/(-6149289)*((-6)\/(-35))\/((-8)\/(-10)).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/50*15\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95309*i + 95305*i - 4*z = 92, 2*z + 30 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 329 = 3*x. Suppose 3*p + x = n + 3, -n - 5*p + 12 = 0. Suppose -n = -0*o - 4*o. Solve 4*l = 2*u - 12, -2*l - 2*u = -4*l - o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -12. Let k(s) = -s**2 + 27*s - 101. Let b be k(u). Sort b, 1, 3 in descending order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) - 1*129\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 6 - (-13 - 2). Let s be -3 + t\/(-20) - -3. Which is the third smallest value? (a) 0.5 (b) s (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -98, -2, -5 in descending order.\nAnswer: 6, -2, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:34 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -0.2 (c) 2 (d) 0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 9 - 1*-2. Let p be (-18)\/(-4) + ((-77)\/(-14))\/11. Let l(j) = -j**2 + 5*j + 10. Let y be l(p). What is the greatest common factor of y and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2046)\/(-10) + 30\/50*-1. Suppose -209*o = -z*o - 140. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -17812919.\nAnswer: -2\/17812919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**5\/5 - 15*y**4\/2 - 244*y**3\/3 - 84*y**2 + 1568*y + 3126. Determine v, given that s(v) = 0.\nAnswer: -14, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 10*v = -1470. What is the remainder when 131 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**2. Let j(m) be the first derivative of -22*m**3\/3 + 265. What is -11*c(p) + 6*j(p)?\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22933685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 174 + 9*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 3 - 3)*(-3 - 2 + 8)*(0 - 1 - 2) to z*f + b and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17309.3 minutes?\nAnswer: 1038558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 25*h**2 + 82*h + 58. Calculate k(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:23 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/7 of a week?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6731*t*u**2 + 11862*t*u - 156*u**2 - 35*u - 1277 wrt t.\nAnswer: -6731*u**2 + 11862*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008422 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200111100222222 (base 3) in base 12?\nAnswer: 3360182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -10.8.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + -382738?\nAnswer: -382711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 921805 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 121*m - 101381. Determine f(-155).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -3\/4 (b) -3 (c) 2 (d) 0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635498.\nAnswer: 2, 353, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3267*j**5 + 9*j**2*o + 62253*j*o wrt j.\nAnswer: 65340*j**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c*c\/c**(1\/4))))\/c*(c*c\/(c\/(c\/(c*c**(-7)*c))))\/c)**(-27\/2))**(-32) assuming c is positive.\nAnswer: c**3348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 48. Let n be m(8). Solve n = -s + 3*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223018232 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10*2)\/((-1124)\/4215).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-40)\/35)*(-26)\/13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 5 + -4 + 6. Let n(g) be the second derivative of 0 - 2*g - 1\/20*g**5 + 0*g**k + 0*g**3 - g**2. Find the first derivative of n(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689626501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65615 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5)*((-20)\/8 - -5). Suppose 173 = x*s - 19. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.3, 4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -48, -4, 1.\nAnswer: -48, -4, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0 + 4*d**2 + 0*d**3 + 1\/40*d**5 + 1\/80*d**6 + 0*d + 1\/420*d**7 + 1\/48*d**4. Find r such that v(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -27, 3\/25, -1, 0.\nAnswer: -27, -1, 0, 3\/25, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 - 971 + 972 - c**3.\nAnswer: 11*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -337\/4. Solve -t*l**4 + 1\/4*l**2 + 0 + 0*l**3 + 0*l = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 159 = -7*r, 6212 = -2*o + 54*r + 4922 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 20\/7*m**7 + 45*m**3 + 0*m + 0*m**2 + 0*m**5 + 12 + 5\/4*m**4 + 0*m**6. What is the third derivative of t(l) wrt l?\nAnswer: 2400*l**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.345*-0.06\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:11 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 - -101. Suppose -2*n + 20 = -13*i + 10*i, -g*n = 2*i - 12. Suppose z - n = -1. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**2\/2 + 60*n - 2. Let m be r(10). Calculate the common denominator of 18 and -3*((-685)\/m - (-6)\/(-27)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4052 is divided by 792?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -864\/13 in 0, -1\/3, -4\/7, 2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*r - 94. Let t = -3634 - -3656. What is the remainder when r is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 883206 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538314164 to the nearest integer?\nAnswer: 23202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -1343, -1317, -1259, -1139, -927, -593?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-14)\/(-8)*8\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 9 = 5*g + 61, -102 = 5*g - 11*m for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32713507.359 rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136871189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-26 - -9 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*5\/30*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let t be x(10). Solve 5*o + 2 + 29 = 3*r, -t = 2*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**25*(c**1)**(-13\/5) assuming c is positive.\nAnswer: c**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6 + 7 + 6*z + z**2 - 9 + 0. Suppose -2*f = -5*x + f - 40, -4*x - 5*f = -5. Calculate h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 3*u + 1. Let s(x) = 2070*x**2 + 6*x + 2. Calculate -s(n) + 2*y(n).\nAnswer: -2066*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - 9*q**2 + 4*q. Suppose -4*o = -2*h - 6 - 0, -13 = -5*o - 3*h. Let i(v) = v**3 + 4*v**2 - 2*v. What is o*s(j) + 5*i(j)?\nAnswer: -j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.007 - -28.007. Let b = -34 + w. Put -2, b, 4 in increasing order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 9\/8*w**2 - 1\/4*w**3 - 3\/2*w + 3. Suppose d(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.13 (b) 6\/11 (c) -1 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -138891, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.1, -3 in decreasing order.\nAnswer: 3\/7, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9987 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8. Calculate the common denominator of 6 - 5 - -2 - (-90)\/4 and (-131)\/(-10) + b\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 12*a + 61. Calculate b(-6).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let n(w) be the second derivative of 1\/3*w**4 + 0*w**2 + 0*w**3 + 0 - 15*w. What is q(n(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 j, and 1 u when four letters picked without replacement from qguugqguduujqg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 4*s, -f + s + 6 = 2*f. What is the lowest common multiple of f and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 129*h - 5 + 147*h + 2*h**2 + (-2*h - 2*h + 2*h)*(0 + 0 - 2*h) - 4*h**2 + 2*h**2 + 4*h**2 + 0*h - 2*h**2 + 0*h + (-2*h + 3*h + h)*(5*h - 9 + 9).\nAnswer: 16*h**2 + 18*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let w(c) = -c - 180116. Determine w(u(j)).\nAnswer: j**2 - 180116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/8)\/((-125)\/(-500)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (159 - (-20 - -93)) + -69.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 11*l**4 - 130*l**3 + 273*l**2 + 54*l = 0.\nAnswer: -2\/11, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-34)\/(-4))*(27 + -19). Let g(t) = l*t - 83*t + 1 + 4 + 5. Determine g(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213 - -323. Let s = 254 - d. Suppose x + s = 4*x. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 11*d + 20. Give x(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38962004 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide -8 + 10 + 6 - -402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/(-21)*(-4)\/(360\/(-15)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n, -1559666 - 590878 = -4*v + 5*n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-68)*(6\/1)\/(-3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.554 (b) -1\/8 (c) -11 (d) 1\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 409336?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 815028 = 816828 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*v - 37, 0 = -207*v + 211*v - 2*p + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/16 + -1 + 0. Let l = -41.3 + 45. Let y = -3.2 + l. Which is the second smallest value? (a) q (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -62, -16, 5 in ascending order.\nAnswer: -67, -62, -16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 73*w**7\/105 - 74*w**5\/15 + w**3\/6 + 2*w**2 + 68*w. Find the third derivative of c(l) wrt l.\nAnswer: 3504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 + 23 - 15) + (2 - 3) + 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 - -579\/2. Factor 1\/2*k**2 - k + 0 + y*k**3.\nAnswer: k*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*v - 9*v + 39*v**2 - 41*v**2 - 22*v**4 wrt v?\nAnswer: -264*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25124 - 25121. Solve 5*q - 42 = -a*n - 20, 0 = n - q - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175059)\/(-194510) - (0 + 3\/12)\/(5\/4).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 9*m - 2. Let v(w) = -21*w**2 - 46*w - 9. Let b(r) = -11*t(r) + 2*v(r). Let a = -33 + 23. Let j = a + 6. Give b(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.7 - -108. Let g = w + 0.54. Let o = g + -20.84. What is the closest to -0.1 in o, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.112 + -0.722. Let l = b + 0.610058. What is l rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*h = 432, 3*c - 5*h - 83 = 2*c. Calculate the remainder when c is divided by (1\/(-2))\/((-3)\/186).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3365 (base 9) to base 15.\nAnswer: -b0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704041 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i + 82. Let o be g(20). What is the remainder when (o\/3)\/(170\/(-255)) is divided by 1\/((-8)\/(-50))*4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = -2*n. Let h = -2.1 + 2. Let u = 0.3 + h. Which is the smallest value? (a) n (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 - 16 = 0. Suppose l*h - 8 = -20, -5*h - 88 = -4*m. Let u = m - 7. Calculate the remainder when 28 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((20\/(-60))\/((-1)\/42))\/((-4)\/(-20)). Calculate the greatest common divisor of y and 728.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**3 - h**2 + 4*h - 1. Let r(v) = 7*v**3 + v**2 - 5*v + 1. Let d(y) = -6*q(y) - 5*r(y). Let o be d(-2). Sort 1, o, 3.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 7. Let v be x(-7). Suppose -20 = -4*q + 4. Suppose q*a + 96 = 4*k + 2*a, -5*a = v. What is the highest common factor of 96 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((-72)\/(-12))\/(6\/(-4)). What is the closest to 0.3 in 0, -2\/19, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/sqrt(4)) - (sqrt(112) + -1).\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113555, -227109, -340663, -454217, -567771, -681325?\n\"Answer: -113554*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibn when three letters picked without replacement from {e: 7, i: 1, n: 9, b: 1}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let r(o) = -o**3 - 6*o**2 + 2. Suppose 55 = -5*w - 5*c, -2*w = -5*w + 2*c - 8. Let p be r(w). Is p at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 52 - 10)*(-77 + 77 + 20*c)*(1 + 0 + 0).\nAnswer: -1260*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5792004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 11*b**5\/5 - 634*b**4\/5 - 1541*b**3\/5 - 1136*b**2\/5 - 48*b = 0.\nAnswer: -1, -4\/11, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*d**3 - 1770*d**3 + 1133*d**3.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 4, -0.2, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1304*-6*6\/(-72). Let g = j - -872. Calculate the remainder when g is divided by 79.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(180)\/sqrt(5))\/(sqrt(1728) - sqrt(1728)*2) - (-2 + sqrt(108)*6 + (sqrt(75)*3)**2).\nAnswer: -673 - 437*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*1*-5 - sqrt(132)) + sqrt(132))\/(-1*(sqrt(108) + sqrt(12))))**2*-1.\nAnswer: -275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -6*s - 392. Suppose 5 = -5*m, -2*l + 181 = 3*l + 4*m. Calculate the remainder when l is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(16 - 264\/16). Solve 12 = 4*v + 4*o, -4*v - 3*o + n = -3 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168617756.93 take away 56.9?\nAnswer: 1168617700.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 368*q + 18432.\nAnswer: -4*(q - 36)*(q + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 730433, 730434, 730435, 730436, 730437, 730438?\n\"Answer: a + 730432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*v - 11*v + 172 = 0, -3*k - 4*v + 125 = 0. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12\/(-20) - 203\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (0 - (-34)\/18). Let h = 9.05 + -9. Let q = -0.05 + h. What is the nearest to q in -6\/5, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + s - 2156. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o - 5*r + 63, 2*o = -2*r + 60. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 + 4*a**5 - 4*a**5 - 232*a**3 + 28*a**5 + 232*a**3 + (-4 + 3 + 3)*(3*a**5 + a**5 - 2*a**5) + a**5 + 4*a**5 - 4*a**5.\nAnswer: 37*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(833)*3 - sqrt(833))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 1, -2, -15, -44, -95, -174, -287?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-25))\/((-4)\/(-20)). Let z(a) = a**2 - a + 7. Let q(s) = -s**2 - 7. Let x(p) = -6*q(p) - 7*z(p). Let n be x(6). Sort -2, n, k.\nAnswer: k, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 264, 9 in increasing order.\nAnswer: 4, 9, 14, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*j**3 - 1 - 41*j**3 - 37*j**3 wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50048 = 1362*p + 4727*p + 126533 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101100110 (base 2) to base 7\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, y: 2}. Give prob of sequence iy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395\/901 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = -5*i - 311 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 2*d + 9 + 19 + 16 + 8 to the form o*d + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3611360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.06. Let o = x - -51.94. Let c = o + -55. What is the second biggest value in c, 8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 + 0*k**2 - 3*k**2)*(-61*k + 9*k - 11*k) - 4*k**3 + 3 - 3 + 4*k**3 + 0*k**3 - 3*k**3 + (-2*k**2 - k**2 + k**2)*(4*k - k - 5*k) + 4 - k**3 - 4.\nAnswer: -189*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*t, 3*i = -4*t - 0*t. Let r(f) = f**3 + f**2 + f + 966. What is the tens digit of r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107, 554, 1347, 2486, 3971, 5802?\n\"Answer: 173*b**2 - 72*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(19) - (sqrt(304) - sqrt(19))) - sqrt(76)\/sqrt(4)*-2) + (4 + 1 + sqrt(2299) - sqrt(2299)))*4*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 1483\nAnswer: -72\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 0*n + 0*n)*(-3*n**3 - 5*n**3 + 2*n**3).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186604 by 4.\nAnswer: -46651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1568)\/(-294)*6\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-12)\/(-8) - -58. Let n = -55 + d. Let m be -12 - -12 - (0 + n - 0). Solve m*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4. Suppose 0 = 2*g - l - 14, -3*l + 7 = 19. Let j(u) = -u**3 + u**2 + 7. What is g*h(f) - 3*j(f)?\nAnswer: 3*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/3480 and -18\/235615.\nAnswer: 163988040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - (6 - 5 - 8)) - -22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4290052 - 2568125. Let t = 3721927 - d. Suppose j + 3*g = 500000, -2*g = 4*j - 7*g - t. What is j rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(2*sqrt(14)\/sqrt(2)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x**3 - 55*x**2 + 55*x - 10. Let j(w) = 11*w**3 + 29*w**2 - 29*w + 5. Let c(l) = -11*j(l) - 6*p(l). What is c(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0325 - 0.0075. Does b = 0.016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90622 and 6382378.\nAnswer: 44676646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z + 5*z - 536*z = 5445 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*z + 12 = 0, 4*x - 5 + 27 = 5*z. Let j be (x\/(-12))\/(2\/285). Calculate the greatest common factor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - r**2)*(2 - 1 + 0) + 14 + r**2 - 8 + r**2.\nAnswer: 4*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvf when three letters picked without replacement from {u: 1, c: 7, w: 1, v: 3, r: 2, f: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 143, 523, 1265, 2489, 4315?\nAnswer: 6863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*v + 462*v + 1 + 55*v - 253*v + 114*v.\nAnswer: 768*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221 + 1300. Suppose 3*n - 118 = l. Is 82 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760575.1us to nanoseconds.\nAnswer: 760575100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/15 (b) -0.4 (c) 0.5 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 - 2645*w**4 - 2610*w**3 + 15860*w**2 + 10520*w - 21120 = 0.\nAnswer: -528, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547557 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + p = -22, -4*o + 4*p - 7 = -31. Put -6, o, -7 in decreasing order.\nAnswer: o, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + v + 0)*(3 - 2 + 0) - 16 + 16 - 9*v)*(-6 - 2 + 0)*(-1 + 0 + 2).\nAnswer: 64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 7*s**4\/24 - s**3 - 11*s**2. Let p(w) be the second derivative of -w**4\/6 + 2082*w. Determine p(l(k)).\nAnswer: -98*k**2 + 168*k - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -1561799625885?\nAnswer: -1561799625885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) - 40626\/(-305) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let s(m) = 19*m - 2. What is s(i(y))?\nAnswer: -19*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3113 - -3118. Solve -3*i + 8 = -a*h, -3*i = 5*h - 8*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - z**2 + z**2 + (4*z + 2*z**2 - 4*z)*(18 - 5*z - 18) + (2 + 2*z**2 - 2)*(3*z - 4*z - z).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87940358?\nAnswer: 2, 11, 523, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771995056?\nAnswer: 2, 7, 6892813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v - 5. Let w(f) = -3*f**2 + 2*f - 10. Let g(s) = -5*n(s) + 3*w(s). Is g(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*d + 66 - 85, 0 = -3*k - d + 41. Solve p = 5*g - 0*p + 17, p - k = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 1 - 1 + 2*c - 2*c + 5*c + (-3*c - 3*c + 4*c)*(-1 - 1 + 1) - 4 + c + 4 - 7*c + 1 - 1.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -260, -879, -2090, -4091, -7080, -11255, -16814?\nAnswer: -23955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 109 + 82)*(23*c**4 + 14*c**4 - 10*c**4 - 42*c**4 - 161*c**4 - 246*c**4).\nAnswer: -97482*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/6)\/(-11) - (-242)\/132. Put 2\/11, -3.68, z in descending order.\nAnswer: z, 2\/11, -3.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:04 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + sqrt(102)*-2)*-2)\/(sqrt(60)\/(sqrt(10)*-1)) + (-5*(sqrt(2448) + sqrt(2448) + -6*(sqrt(2448) + -4*sqrt(2448))))**2.\nAnswer: 24480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 134 = -7*b - 8, 112*b - 43 = 108*b + 14*f + 29 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 22296.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4453 - 2765. List the prime factors of i.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9582689 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -32. Let r be (x - (-765)\/767) + -36 + 33. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**9\/181440 + t**8\/60480 + t**5\/20 + 4*t**2. Let d(m) be the third derivative of c(m). Solve d(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -360, -645, -1044, -1557, -2184?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 850874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o + 64*o = -52. Suppose 0 = -4*h + 74 + o. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**5 - 4*p**2 + p**5 + 7*p**2 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352 is divided by 1238.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74724864 and 1167576?\nAnswer: 74724864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o**7\/o*o))))\/o)\/o**(-18))**(-8\/9) assuming o is positive.\nAnswer: o**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -25)\/(3\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -2*o + 4*x, o - 1 = -2*x + 63. Suppose 2*n + 6*n - o = 0. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 - 6*a. Let z(q) = -6*q**2. Determine z(r(s)).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -12. Suppose 0 = -l*f - 5*a + 8, -f - 3*a = -2*f - 7. Is f at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 8*r + 1. Let q be t(-8). Suppose 5*s - 4*n = -15, 5*n + q - 29 = -3*s. Which is smaller: -1\/6 or s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155 + 186?\nAnswer: 2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 50394 - 42664 = 0. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/4 + 8*q**3\/3 + 5*q**2\/2 - 4*q - 2. Let v(b) = -b - 1. Let n be v(6). List the prime factors of w(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 436, 438, 442, 448, 456, 466?\n\"Answer: o**2 - o + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 9. Let c = v - -2. Let x = c + -4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -1797 - 1075. Let d = x + 365. Let p(t) = -7*t**2 + t - 3. Let q(y) = 8*y**2 - y + 3. Give d*p(f) + 5*q(f).\nAnswer: -2*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 839659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236943155 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 81.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 733. Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3*m + 3)*(0 - 3 - 3).\nAnswer: 18*m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/95, 5, -3\/4, -0.6, 1 in ascending order.\nAnswer: -3\/4, -0.6, -2\/95, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 + l**3 - 4*l**2. Calculate the remainder when k(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (5 - (-2 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a + 3 + 4*a - 12. Let x be (-65)\/7 + (-2)\/(-7). Let j(i) = 2 + 0 - i - 2*i. What is x*j(g) - 2*w(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -4840.\nAnswer: 33880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247 is divided by 469?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvyj when four letters picked without replacement from yvbjvvbybjbb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -44. What is the units digit of (-48)\/14*(j - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyv when four letters picked without replacement from {y: 2, z: 5, v: 9}?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388202601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 1 - 1)*(-3*w + 0*w - 2*w)*(-27 + 39 - 41) to the form s*w**2 + m + x*w**3 + a*w and give x.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181805649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 1 + y - 12 in the form w*y + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/35 - 6\/10. Let y be 7 - 0\/(0 - 2). Suppose 0 = -3*r + 4*a - 16, -20 = 4*r - y*r - 5*a. Do r and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11938 and 8158226.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 593 - 576. Suppose x*o + 0 - 17 = 0. Which is smaller: o or -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 33. Suppose -6 + r = 2*p. Suppose -5 = -0*h + h. Which is the third biggest value? (a) h (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/(-4)*20\/(-30). What is the first derivative of 20 + 17 - 38 + y*p**3 - 34*p**3 wrt p?\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 43*w. Let i be r(1). Let p = 41 - i. Let m = -0.2 + 0.3. Which is the nearest to m? (a) 2 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.1 (b) 0.5 (c) 4 (d) 467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2. Let s(n) be the third derivative of -26*n**4\/3 + 22*n**2 - 6*n. Calculate i(s(m)).\nAnswer: -129792*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 389980 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6333318*i**5*n - 2*i**3*n**3 + 30*i*n**3 - 1083*i - 2*n**2 + 32 wrt i?\nAnswer: 126666360*i**3*n - 12*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let d(v) = -1 - o*v**2 + 3 + 8*v**2. Let j(y) = y**2 + 1. Let n be 1*(0\/((-3)\/(-1)) - -1). Calculate n*d(x) - 2*j(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2)\/((-3)\/(-2)*(-52)\/(-104)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 5*b. Let v(n) be the first derivative of -n**2\/2 - 195. Calculate s(v(i)).\nAnswer: i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.12163184 to three dps.\nAnswer: -15.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.6, -1.6, -17, -212?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z = -19*z + 405 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 + -18.6. Let p = 12 - i. Let x = 28.9 - p. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, -9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -6543*c**7\/7 - 6886*c**3\/3 + c**2\/2 + 7232. What is the third derivative of a(t) wrt t?\nAnswer: -785160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t**2 + 2. Let z be h(7). Round z to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rum when three letters picked without replacement from mrmrsmmsmumrmmmurmu?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1067, -1158, -1249, -1340, -1431?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose 4*t + 5*z - 2 = 20, 4*t - 3*z - 6 = s. Let k(h) = 2*h**3 + 5*h**2 - 5*h + 2. What is the remainder when k(t) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerteuurzerturrrutr. What is prob of picking 1 t, 1 e, 1 z, and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 5*b - 9. Let x be r(-6). Let i(z) = -3*z - 7. Let t be i(x). Suppose -2\/9*v + 4\/9*v**t + 0 + 2\/3*v**3 = 0. What is v?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snwnwvwnnw. Give prob of picking 1 v and 1 n.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(32) + 3 - sqrt(2)) + 3 + (sqrt(4608) + -1)*5)**2.\nAnswer: 1944*sqrt(2) + 118114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -13, -7\/2, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 2*u + 424, -4*r = -u + 839. Let d = r + 209. Solve -4*i + d*i + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 2*t**3\/3 + 3*t**2\/2 + 2*t. Let q be l(3). Let h = -8 + q. Calculate the remainder when 13 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/5 + (-1)\/5. Let y = p + -45\/2. Is y greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 66*x + 28. Let w(j) = 115*j + 27. Give -3*t(f) + 2*w(f).\nAnswer: 32*f - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392614 is divided by 139261.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*l - 2*l - 3, 5*l - 33 = -4*k. Sort 4\/19, k, 0.02 in descending order.\nAnswer: k, 4\/19, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14438 is divided by 137.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16091?\nAnswer: 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-3)\/6*2. Is 3\/((-3)\/(-14)) + u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 38*g + 47. Is s(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1517 + -30357\/20. Is 0 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437 + 3077\/7. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 7*m + 59. Let a be r(9). Let h = 717 + a. Which is smaller: 274 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 2345*m**4 - 243335*m**3 - 255085*m**2 + 973420*m + 982820 = 0. Calculate m.\nAnswer: -2, -1, 2, 157, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 30. Suppose 3*w + 83 = 5*u, 4*u - u = -5*w + 43. Suppose 3*n = 2 - 8, -4 = b + 4*n. Solve 4*q - 8*f + 3*f = u, -b*f - k = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 5*u + 2*u + 0*u + 0*u + u + (1 - u - 1)*(-1 + 2 + 1) + 4*u - u - 2*u + 0 + 0 - 2*u)*(-3 + 6 - 4)*(4 - u - 4) as z*u**2 + q + b*u and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 769*x**2 - 3*x. Let t(a) = 3*a. Determine t(j(m)).\nAnswer: 2307*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.4139 to 1 dp.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3855777344 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -3*i + 450, 2*z + 251*i + 61 + 7 = 248*i for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 8*q. Let x be c(-6). Solve 2*w - x + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -87948*g**2. Let z(t) = -145*t**2. Calculate d(z(i)).\nAnswer: -1849106700*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*t + 14 = 0, -2 = 5*t + 13. Let u be p + 1 + 2 - 2. Let k = -10 - -20. Solve u*j - 4*j = -k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0\/1 - -2. Suppose 0 = -0*y - y + u. Suppose q + d = -4*d - 8, -y*d = -2*q + 49. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(11) - sqrt(176)) + sqrt(1728) + sqrt(1728)*-2)\/(-1*sqrt(6)*6 + sqrt(432)\/sqrt(8)).\nAnswer: 37*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 126904518 divided by -234\nAnswer: -542327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 14*b**2 + 9*b - 111. Give h(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -54059 divided by 16\nAnswer: -54059\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {b: 2, j: 5, w: 3, o: 1, x: 6}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2109 + 2102. What is the biggest value in q, -1\/2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/35700816 and 61\/804.\nAnswer: 35700816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*u + 1718*u + 95546 = 0 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let z(m) = m - 291719407. Calculate z(n(b)).\nAnswer: -2*b**2 - 291719407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(4\/9)*g*g)**(-5\/9) assuming g is positive.\nAnswer: g**(-200\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 3335*o**2 - 3336*o = 0. Calculate o.\nAnswer: -3336, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 5584\/137?\nAnswer: 5584\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13499*m + 4*m**3 - 18936*m - 2*m**3 - 11948*m.\nAnswer: 2*m**3 - 44383*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/35)\/(26\/(-91)*2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 295824493*r + 408090885 with respect to r.\nAnswer: 295824493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48792829093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f. Let n(v) = 3*v - 2. Let c(a) be the second derivative of a**3\/6 + a**2\/2 + 14*a. Let y(k) = -2*c(k) - n(k). What is y(l(o))?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 2*x - 34, 5*x + 3*l = -7. Does 5 divide 1\/((-2)\/((-28)\/x))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)\/(z\/(z**(-1)\/z)*z))**(-4\/9)\/((z\/(z**1*z)*z*z*z**2)\/(z*z\/(z*z**(2\/5)\/z)*z*z*z*z\/z**(2\/3)*z*z*z)) assuming z is positive.\nAnswer: z**(262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 191. Suppose 2*h = -2*h - 5*g + 124, -5*h + 150 = z*g. Calculate the greatest common factor of 104 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 233\/4. Which is the nearest to z? (a) -0.3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**8*m**2)**(-6))**13)**(-1\/14) assuming m is positive.\nAnswer: m**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-8)*z)*z*(z\/(z\/z**(-3\/2))*z*z*z*z)\/z*(z**(1\/6)\/z)\/(z\/(z\/z**(-9))))**(-2\/57))**(5\/8) assuming z is positive.\nAnswer: z**(-70\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*a - 18 = 0, 3*w - 20 = -4*a + 11. Suppose -9 = -3*g - 0*g. Solve 0 = -g*x + 5*p + w, -4 = 2*p - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w + 55. Let i be v(-5). Let a be ((-6)\/i - (-18)\/(-90))*2. Let g = -2.4 + 0.4. Put -0.07, g, a in decreasing order.\nAnswer: a, -0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-20)\/(-130) - (33532\/(-52) + -5) and 13.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -115979.\nAnswer: 1043811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 + 1 = 0. Let i = 4.4 + -29.4. Let j = 20 + i. Which is the nearest to 1? (a) h (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 1 d when three letters picked without replacement from {y: 1, d: 2, u: 6, n: 3, a: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -617118, -1234231, -1851344, -2468457, -3085570?\n\"Answer: -617113*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3 - 129*p + 66*p + 67*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 14*m + 21 - 1088 = 16*n, -4*n + 4*m + 308 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgplaalutgulgul. Give prob of picking 1 t and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27 + 55*g - 36 + 21 with respect to g.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1240\/(-32) - 383\/1532.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - g**3 - 4*g**2 - 1 + 3*g**4 + 0*g**2 + 0*g**3 as i*g**2 + c*g**3 + q*g + k + h*g**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 0.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 180*c**2 + 7*c - 35. Determine n(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -49*n**3 - 11*n**2 + 5*n - 6. Let h = -86 - -85. Let r(c) = c**2 - c + 1. Let z(a) = h*w(a) - 6*r(a). What is the third derivative of z(g) wrt g?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20665 (base 11) to base 10\nAnswer: -30079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0.2, -430 in decreasing order.\nAnswer: 3, 0.2, -5, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17304 - y**3 + y**2 - 2*y**2 + 10932 + 2*y - y**2 - 5090.\nAnswer: -y**3 - 2*y**2 + 2*y + 23146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-7\/10))**41\/(l*l*l**(6\/5))**(-12\/5))**37 assuming l is positive.\nAnswer: l**(36963\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 21 = 3*q + 7, -5*q + 20 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (1 - 2)\/((-3)\/(-3)). Calculate the remainder when 52 is divided by 4\/6 + b - 155\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*l. Suppose -3*s = -l - 4. Suppose s*t - 358 = -2*i, -i + 188 = t + 3*i. Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2148 and -0.03.\nAnswer: -0.036444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1 - 899*o**3 - 9*o**2 + 898*o**3 + 4 - 8*o. Calculate c(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/8 + 17\/8. Let h(s) be the second derivative of -v*s**3 - s**2 + 0 + 3*s. Differentiate h(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157176466?\nAnswer: 2, 3187, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164\/5*h + 0 + 2\/5*h**2.\nAnswer: 2*h*(h - 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 377251506 - 377251503.23398469. Let m = d - 2.766. What is m rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times 2236454?\nAnswer: 10958624.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168400 to the nearest ten thousand.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 79648.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33203 (base 4) in base 16?\nAnswer: -3e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104114107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 1.1 (c) -0.2 (d) 0.1 (e) 0.01 (f) -5 (g) 0.014\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -12 + (28 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 - 12*t**2 + 8*t**2 to q*t**2 + g*t + b and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239835 is divided by 28473?\nAnswer: 12051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) -5 (b) -15 (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:10 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8887197 milliseconds?\nAnswer: 0.0008887197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5084460 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (463720\/8 + 8)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, -22, 2, 3 in decreasing order.\nAnswer: 35, 3, 2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32220, 32216, 32210, 32202, 32192, 32180?\nAnswer: 32166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*p + 11, -p - m = -2*p + 3. Let w = -1\/382142 - -862303429\/2292852. Let k = 376 - w. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.00324245.\nAnswer: 0.0064849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -210100201001?\nAnswer: 210100200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/(r\/((r**(-1\/14)\/r)\/r)))**(-12) assuming r is positive.\nAnswer: r**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {v: 4, w: 3, m: 1, e: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:25 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2745 - -4055. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**6*j)\/j)\/((j\/j**(-6))\/j)*(j**(1\/4))**(1\/10) assuming j is positive.\nAnswer: j**(-439\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57081*i**3 + 3*i**2 + 659621*i.\nAnswer: -342486*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**(-5)\/v)))\/v)\/(v**(-1\/3)*v))**(-4\/9)\/((v*v**(-1))**(26\/3)*v**(-2)*v**(-2\/5)\/v) assuming v is positive.\nAnswer: v**(859\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*y + 212 = -6*p - 173*y, -165 = 5*p + 3*y + 3*y - 5*y for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511625 less than 5511623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-94)*(-81820)\/61365.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/9 of a hour?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519 = 58*n - 200*n - 383 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 2*m**3 - m**3)*(3 - 3 + m) + (-3*m**2 + 3*m**2 - m**2)*(3*m**2 - 3*m**2 + m**2) - 18*m**3 + 8*m**4 + 18*m**3 + 8*m**4 + 0*m**4 - 2*m**4.\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*x - 152, -37 = -5*o + x + 759. Is o a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7843464 is divided by 163405?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + h + 2*h - 25.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20334 = 3*b - 3*i, -2*i - 26189 = -5*b + 7713. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -26*g**2 - 8*g - 6. Let u(t) = -21*t**2 - 2*t - 5 - 6*t - 4*t**2 + 0*t. Let r(j) = -5*d(j) + 6*u(j). Let r(h) = 0. Calculate h.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-84) - (8 + 14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-30)*9*8\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/10724 + 11710453\/332444. Is k <= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 8. Let v be l(-1). Suppose 4*m = -4*k + v, -2*m = -k - 3*k + 28. Let f = -84 + 244\/3. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(8\/(-2))\/(-824). Let r = -185.9 + 186. Is a at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33405 + -23788. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a6 + 6?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.464 + 19.446. Round t to zero decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41935962*w**4 - 3136*w**2 - 7*w - 1158 wrt w?\nAnswer: -1006463088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.33268 less than or equal to -1\/359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 2 - v + 2*v + 3*v**2. Let a(k) = -k**2 + k. Let y(o) = -2*a(o) + t(o). Let m be y(-5). Calculate the greatest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, l: 1, j: 14}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j. Let r(i) = 1400 - 2*i - 1397 - i**3 - 5*i - 6*i**2. Let b = -8 - -14. What is b*t(p) - r(p)?\nAnswer: p**3 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 6*n + 19. Let t = n + 22. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191 less than 444?\nAnswer: 443.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-18))\/(20\/(-80)). What is the third smallest value in -1\/5, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 - 235*j - 190. Let b(o) be the first derivative of o**3\/3 - 13*o**2 - 21*o - 4. Let t(p) = 55*b(p) - 6*v(p). Factor t(f).\nAnswer: -5*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551275 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2813 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 + 7*c + 13. Let w(g) = -4 + g - 7 - 6 + 22. Let u be w(-9). Let m be s(u). Solve -1 = -x + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 3*v**2 - 6*v)*(-6 + 4 + 6) - 2*v + 2*v + v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-96)\/2)\/((-12)\/(-84)). Let u = -93 - p. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-117)\/2)*(-21)\/(630\/(-130))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 957775.7 weeks in milliseconds?\nAnswer: 579262743360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -1 - (5144 + -5129)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161677.\nAnswer: 107, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(684) - (sqrt(684) + 1))**2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150691350, 150691341, 150691332, 150691323, 150691314, 150691305?\n\"Answer: -9*p + 150691359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/7)*w)\/w*w*w*w**(-1\/2)*w)**25*(w*w\/(((w\/w**(-1\/5))\/w*w)\/w)*w)**17*(w**(-2\/5))**(-10\/9) assuming w is positive.\nAnswer: w**(56143\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 13*a = 12. Suppose 5*r = -r + 264. Suppose -4*t = 5*p - r, 3*p - 7*p - a*t = -36. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p = -23*p - 286 - 204. Let j(l) = l**2 - 14*l + 5. What is j(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(224) - 6*sqrt(224)*1)*-5)\/((sqrt(56) - (sqrt(896)*2 - sqrt(896)))\/(sqrt(7)*2*1)))**2.\nAnswer: 69973\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/180 + c**4\/24 + c**3\/9 - 11*c**2\/2 + 13*c. Let d(u) be the first derivative of h(u). Factor d(j).\nAnswer: (j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/50876595 and -29\/24255.\nAnswer: 356136165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1112856465660 - -0.11\nAnswer: -1112856465659.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2802 divided by 6\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose 4*r - 2*d - 14 = r, -g = r - 5*d. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2492, 4756, 7020, 9284, 11548, 13812?\n\"Answer: 2264*q + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/3 + 14038*t\/3 - 254628 = 0 for t.\nAnswer: -7073, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14*m + 25 - 11*m**2 - 42 + 5*m**2 + 5*m**2. Give j(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 24033\/1052?\nAnswer: 24033\/1052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 25. Suppose -13*d = -19*d - 102. What is the units digit of u(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16221118 less than -1?\nAnswer: 16221117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009247 rounded to 4 decimal places?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwjwwmmwjjawaawwwa. Give prob of picking 2 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*595\/850*(-6)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 4 - 14*y - y**2 + 0*y**2 + 12*y + y. Calculate p(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*b + 206*b - 367. Calculate the remainder when b is divided by 127.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/((-8)\/12). Suppose p - 5*t = -2*t + 367, -3*p = l*t - 1145. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1418 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14\/5)\/i*i**(2\/13) assuming i is positive.\nAnswer: i**(-237\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 - -1)*1\/1. Suppose 0 = 4*q + 3*d - g, -20 = -4*q - 2*d - 0*d. Let c be -5*1*(-8)\/10. Calculate the highest common factor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186746792 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*p + 16878 = -147*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 8*a - 6. Let h = -2 + 5. Suppose 3*y + 21 = -h*m, m - 3 = -4*y - 28. Let u be g(y). Calculate the highest common divisor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305863101?\nAnswer: 3, 71, 159553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.671937 rounded to 1 decimal place?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161\/(-40071) - (-24)\/(-444)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**4 - 3*g**4 - 3*g**4 + (2 - 2 + 2*g)*(2 - 2 - 2*g**3) + 4*g**4 - 4*g**4 - 4*g**4 - 3*g**4 + g**4 + 4*g**4 + 2*g**4 - 5 + 5.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k + 4. Let x be l(6). Find the second derivative of 4*c + x*c + c**4 - 5*c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*b + 482, 0 = -10*x + 5*x - 3*b + 2432. Let t = -298 + x. What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130068730697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957, -3838, -8613, -15258, -23749?\nAnswer: -34062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a663 (base 11) in base 4?\nAnswer: -13001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 - 2*c + 2. Let g be h(3). Let r(a) = -a**3 - 3*a**2 + 3*a - 2. Let z be r(g). Suppose 14 = z*p - p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 10 - (-14 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(66) - sqrt(66)))\/(sqrt(60)\/sqrt(250)) + 5.\nAnswer: -30*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356 and 22?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 h when four letters picked without replacement from heehnhhhnene?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6574985 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 203 - c + 101 + 102.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26677957 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -115, -1.9, 3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 199 = 17*m. Let q(y) = -14*y**2 - 39*y - 8. Let l(o) = 9*o**2 + 26*o + 5. Give m*l(c) - 5*q(c).\nAnswer: -2*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 12*l**2 - 32*l + 8. What is the remainder when 30 is divided by r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + 2*y + 4, -5 = y. Find the third derivative of 3 - 5 - 2*s**2 + x - 4*s**4 wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 376. Let s = -112 + o. What is the units digit of (1 - -1)*s\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63596 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63414, 63397, 63380?\nAnswer: 63363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0414114122 and 634.\nAnswer: 633.9585885878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (-2 - 147\/(-24)) - 941703\/(-56).\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -3. What is the greatest common factor of 90 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49\/5 + 17\/2*i**2 - 2\/5*i**3 - 413\/10*i = 0. Calculate i.\nAnswer: 1\/4, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.01139.\nAnswer: -2.98861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*m + 3244 = 0, -11*m = -j - 8*m + 1074. Let s = j + -896. What is the greatest common divisor of 92 and s?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {w: 5, k: 1, h: 1, r: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, 0.3518, 0.3, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5738069 decades to years.\nAnswer: 5.738069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 4, w: 1, p: 1, y: 4}. What is prob of sequence ws?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29240 and 476.\nAnswer: 204680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 0 in increasing order.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 - f**5\/10 + f**4\/24 - f**3\/2 + 6*f**2. Suppose -g + 9 = 15. What is y(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 233, 0.1, 0.03?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.6 - 77. Let d = 0.08 - 0.28. Put -2.9, d, g in descending order.\nAnswer: d, g, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*q - 17 + 57 = 0, -5*l - 2*q - 17 = 0. Suppose -5*y + 5*i - 20 = 3*i, 12 = -3*y + 4*i. Is l < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 7*f**4\/4 + 7*f**3\/3 + 7*f**2\/2 - 7*f + 2499. Let z(l) = -11*l**3 - 11*l**2 - 11*l + 11. Calculate -8*p(g) - 5*z(g).\nAnswer: -g**3 - g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*p + 21, 5*p - 3*p = -t + 33. Suppose -2*l + q + 90 = 0, 0 = 4*l - p*q + 10*q - 192. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24428835?\nAnswer: 3, 5, 619, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2149\/77 - 28) + (-8)\/33. What is the closest to u in 3, 1, -0.5, 37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -48 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 2. Let h be r(-2). Suppose z + 2*w - 11 = 0, -3*z + 21 = -w + 3*w. Is h > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*g + 98 = -91*g. What is the second derivative of 2*l**3 + g*l**2 + 52*l**2 - 83*l**2 - 18*l wrt l?\nAnswer: 12*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8343, 8345, 8349, 8355, 8363, 8373?\n\"Answer: v**2 - v + 8343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70 and -0.091?\nAnswer: 6.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = d. Suppose -7*r = -d*r. Suppose -5*s + 3*s - 39 = -5*b, r = b + s - 5. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127468.2 to the nearest 1000.\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2765\/2 - 1383. Which is the nearest to -1\/2? (a) o (b) 0.2 (c) -0.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234299\/28 - 8370. Find the common denominator of 133\/36 and p.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 339*y + 0 + 1 - 3 + 46*y**2 - 338*y as u*y + n + l*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -21. Let f = -137033 - -137038. Sort 1, -1, h, f in descending order.\nAnswer: f, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 448 = 28*u. Let v be (u\/7)\/((-34)\/(-119)). Solve -v = s - 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q - l - 3, -2*q - 3*l = -19. Suppose -9*k - q = -10*k. Solve -4*p - k = 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 35.38. Let j = 0.38 - b. Let u = 152.6 + -153. What is the third biggest value in u, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*m - 1, 3*i = -6 + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 42.27?\nAnswer: 1141.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.538 less than 0.19?\nAnswer: 3.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 11*a**2 - 82*a - 25. Let j be w(-16). Solve -27 + j = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24611034*n**3 + n**2 + 204*n + 1843?\nAnswer: 147666204*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212520 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22725857 and 14399?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21459 + -10700. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 28. Let o(a) = 3*a + 16. Let g be o(24). Let n(r) = 1. Let u(j) = g*n(j) + 2*k(j). What is the units digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2299.\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19853 minus -113362999?\nAnswer: 113382852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 2*p. Suppose l - 20 + p = 0. Suppose -3*j + 191 = 5*k, k + j = l + 25. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5677003, -11354007, -17031011, -22708015, -28385019?\nAnswer: -34062023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40348840151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/((-8)\/(-2)))\/((-1)\/2). What is the derivative of 143 + 11*s - q - 55*s - 10 wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -t + 30, -p - 4*t + 40 = 3*p. Suppose 4*h = p*h - 2*a - 8, a - 10 = -3*h. Suppose 197 = 5*z + 4*w, -h*w - 173 = -6*z + z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.06 + 0.06. Let f = -3729678 - -3729648.00146. Let d = s - f. Round d to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45389615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 5*f = 10, 0 = -k - 5*f - 10. Let i = 0 + k. Let z be 26\/10 + (-6)\/10. Solve i*j - j = -z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0663497238 to four dps.\nAnswer: -0.0663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9 + 3*k**2 - 121 - 284*k**6 + 2*k**3 + 12*k**5 + 3*k - 113 - 81*k**6 + 112*k**6 wrt k?\nAnswer: -30360*k**3 + 720*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2897 + -2824. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 10. Let z be k(-8). Let r(v) = 12*v**3 + 3*v**2 - 4. Let u be r(z). Let d = u + -730\/7. What is the nearest to d in 0.3, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315103040 (base 6) to base 5.\nAnswer: 2410414022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26683\/130 + -711\/26. Let k = w - -239. Do k and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1772 - -19199. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (-3 + 5 + 2). Let t(q) = q**3 - 7*q**2 + 7*q + 2. Give t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 476328?\nAnswer: 14766168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 2*k**2 - 2*k. Let u(y) = 2*y**3 + 2*y**2 - y. Let h(c) = -3*n(c) + 4*u(c). Let o be h(0). Solve v + 3*d + 8 - 22 = o, -5*v + 2*d = 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 100*d**3 - 215*d**2 - 6*d. Let c(k) = -301*k**3 + 645*k**2 + 16*k. Let p(s) = -3*c(s) - 8*v(s). What is the third derivative of p(j) wrt j?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2ac15 (base 15) to base 11.\nAnswer: 57173a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 8*r**4 + 10*r**3 + 4*r**2.\nAnswer: 2*r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.51072 rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 12*n + 1. Let y be k(5). Let l be (-90)\/(-20)*(-4)\/y. Suppose 38*s - 92 - 22 = 0. Solve 4*h - s*h = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, n: 2, i: 4, o: 2}. What is prob of picking 2 i, 1 n, and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2532456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(1*sqrt(900) + sqrt(25))\/(4*sqrt(10)\/sqrt(2)).\nAnswer: -7*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -403 + -1961?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 357296 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 769067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4170, -8332, -12492, -16650, -20806?\n\"Answer: x**2 - 4165*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (2 - 4 - -3). Suppose 13*j - 11*j - 8 = 0. Solve -5*u - j = t, z*t = t + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 1393*s + 17012. Give p(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84060 divided by -30.\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c378 + 7?\nAnswer: c381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 22887, -5, 8\/9 in decreasing order.\nAnswer: 22887, 8\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 take away 5348.78724?\nAnswer: -5349.88724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/16 + (-1 - (-75)\/20). Solve -5 = -5*l + w*d, l - 1 = -12*d + 14*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4))\/((-3)\/(-12)). Suppose 0 = -2*q + q + m. Suppose 6 = q*c, -2*g - 23 = -3*g + 4*c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41686674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2813 and 19\/485.\nAnswer: 14065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q = 50*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178436268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070421.52132 minus -0.9336?\nAnswer: -1070420.58772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637 + 615. What is the smallest value in 1, -0.16, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 208 = -29*c. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.004 and 1107.5677?\nAnswer: 1107.5637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 - 8*d + 12. Let z be r(7). Solve z*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 take away 144?\nAnswer: -146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*g**2 - g**2 + 98*g**5 - 139*g**5 - 45*g - 33*g + 63*g**5 wrt g?\nAnswer: 440*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 72*o - 1283. Let x be b(-33). Solve 9*j - 10 = 7*j - 3*c, x*j = c - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 531, 2, 117, -3.\nAnswer: -4, -3, 2, 117, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8080000 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5396766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12500)\/(-3)*31572\/15. Round t to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 102*b - 63. Let a(g) = -51*g + 31. Let r(c) = -13*a(c) - 6*i(c). Let t be r(3). What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 7*y + 2. Suppose 5 = 3*m - 13. Let v = 10 - 3. Let a(q) = -4*q**2 - q - 4*q**2 + v*q**2. Calculate m*a(n) + z(n).\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*a - 22*a - 6*a - 22*a - a**3 to the form b*a**2 + i*a**3 + r + y*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2313408 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.3176 hours to milliseconds.\nAnswer: 364743360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n + 1. Let v(o) = 5*o**2 + 2*o + 4. Suppose 19*q - 160 = 30. Suppose -q = 9*t - 1. What is t*v(d) + 2*x(d)?\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 1 - 1 + 6 + 2 in the form d + k*s and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14186 and 0.3.\nAnswer: 4255.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ionttfitin. Give prob of sequence fif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05638 plus 206239?\nAnswer: 206238.94362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*s + 8*a + 5, 0 = 2*s - 3*a - 3. Suppose s = -u - 2*b + 12, -b + 120 = 5*u - 6*b. What is the greatest common factor of u and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) 0.3 (c) -466 (d) 3.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 51876*v\/7.\nAnswer: 2*v*(v - 25938)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*x**3 + 722*x**2 + 208*x - 108825592 wrt x.\nAnswer: -18*x**2 + 1444*x + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t + 2*p - 4, 4*p + 12 = 0. Suppose -t*c - 635 = 1085. What is c rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*c**2 + 10*a**3*f + 4*a**3 - 5894*c**2*f - 4 wrt c?\nAnswer: -2*a**3*c - 11788*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1910\/23 - -62247\/736. Are i and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/419666 or 0?\nAnswer: 3\/419666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0174 from -19.560806.\nAnswer: -19.543406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 bigger than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5129*l - 5127*l = 8, -5*s - 40 = -l for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170529 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15)*h**(-14))\/(h**(-6\/11)\/(h*h\/(h\/(h*h**(3\/8))*h))) assuming h is positive.\nAnswer: h**(-15769\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 16*n + 14, -5*n = 187*m - 183*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11292900 rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 35. Let p = o + 16.32. Let g = -0.12 + p. What is the nearest to g in 0.1, -3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 137.9999918. Round z to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3*d**5\/5 + 10*d - 3. Calculate v(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1287 and 19\/3.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u**3 + 2374*u**2 + 3891*u - 1120. Let n(b) = 5*b**3 + 592*b**2 + 973*b - 280. Let i(s) = -26*n(s) + 6*t(s). Factor i(r).\nAnswer: -4*(r + 2)*(r + 70)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111166187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 7 - 4)*(-r + r - 2*r**2) in the form g*r + f*r**2 + s and give f.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-6))\/(z*z**(-6)\/z))\/(z**(-1\/4)*z)**(-1\/7))\/((z**1)**(-17)*(z\/(z\/((z*(z\/z**0)\/z*z*z)\/z)))**(1\/14)) assuming z is positive.\nAnswer: z**(503\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -914*o**2. Let y(s) be the first derivative of 2*s**3\/3 - 5. Calculate m(y(k)).\nAnswer: -3656*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -2. Let z(s) = -s**3 - 156*s**2 - 1995*s - 42. Let n be z(-14). Calculate the highest common divisor of n and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330301 - 2?\nAnswer: -2330303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23 + 0*p - 23 - p + 47*p**3 wrt p?\nAnswer: 282*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5 + 1523*f**2 + 5199*f + 1 wrt f?\nAnswer: -40*f**3 + 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -39899.12 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 280\/49)*(-196)\/16.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -9 - -1) + 8 - (0 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-2)*(-25)\/175*2\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.189? (a) -0.46 (b) 4 (c) 1\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 14) in base 3?\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**9*n**(-12))**(-2\/5) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4573379334.\nAnswer: 2, 3, 12101, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 - 2*y - 5. Let x(c) = -2*c**2 - c + 2. Let l = 7 + -5. Let q be x(l). Is i(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65341)\/18 - (11 - 6). Let d = k + 3637. Calculate the common denominator of 57\/88 and d.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 11*f**3 + 30*f**2 + 48*f**3 + 76*f**3 + 58*f**3.\nAnswer: 171*f**3 + 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/13, -0.2, 4, 0.3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 4860026*a**2 + 73812051902176*a\/5 + 73812027602048\/5.\nAnswer: 2*(a + 1)*(a + 6075032)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from {v: 2, g: 1, n: 4, o: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 693.9 to the nearest ten.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 2*c)*(-187 + 187 - 75*c)*(-5*c - c + 4*c - 6) to y*c**3 + g*c**2 + m + h*c and give g.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 38*x - 56. Let k(j) = 9*j - 14. Give -2*i(h) + 9*k(h).\nAnswer: 5*h - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/28 and 7*(8\/20 + 6\/160)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85462781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*2*31985\/(-63970)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o = -2*i - 41, 622*o = i + 621*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 2 + 111*j + 0.\nAnswer: 111*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541603 is divided by 4833?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52918.\nAnswer: 2, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1033519, 1033501, 1033483, 1033465, 1033447, 1033429?\n\"Answer: -18*p + 1033537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117081*q + 117471*q - 28470 = 0 for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + 4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, h: 3, g: 4}. What is prob of picking 1 g and 3 h?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.90547l to millilitres.\nAnswer: 10905.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12659*a = -12489*a - 10030 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61614 by -126.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420695326*g**2 - 841390637*g**2 + 420695322*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*i + 5 = 0, -2*i = -3*a - a + 20. Solve 0 = a*z - 3*q + 5, q + 10 = 3*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Find the third derivative of -5*l**g + 0*l**2 + 0 + l**2 + 0 wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + -39. Let y be a\/(-4)*72\/10. What is the highest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 24*y**2 - y + 39. Let u be f(24). Let l be -1 + ((-20902)\/(-5) - u\/(-25)). Let q = 1950 - l. What is q rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -159923*n. Let k(q) = q**2 - 14*q. Calculate k(i(f)).\nAnswer: 25575365929*f**2 + 2238922*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.135 and -13.\nAnswer: -14.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(252\/176)*-2*33\/88.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**6\/60 - a**5\/30 + 4*a**3\/3 + 6. Let o(d) be the third derivative of y(d). Find the second derivative of o(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27580 - -29322. Calculate the greatest common divisor of d and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**3 - 2026*l**2 - 374*l - 1010. Calculate o(-184).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 154 = 5*y + 4*d, 5*y - 145 = -5*d. Suppose 0 = -4*t + 2 - y. Let k = -4 - t. Solve 3*h = -4*r + h - 2, 0 = -5*r + k*h - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 171656?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 661989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 8*l - 1. Suppose 11*x - 26 = l. Solve 0 = -2*a - 1 - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wngzgwngggzwgnzgfz. Give prob of sequence nzw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * 271.\nAnswer: 18970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5440 by -5.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i - 3. Let l be s(-2). Let p be (-3)\/(-5) + (-222)\/(-555). Put -43, p, l in ascending order.\nAnswer: -43, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from ycbhbzo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/14 - 50\/35. Let b(o) = -o - 1. Let q be b(p). Suppose 0 = -5*n - q + 40. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 41*j = 5*f - 10, -2*j = -3*f + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 2\/9, -3\/8, -0.01 in ascending order.\nAnswer: -3\/8, -0.06, -0.01, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g**(1\/4)*g*g)\/(((g\/(g\/(g\/g**(4\/3))))\/g)\/g*g\/(g**(-1\/7)*g)*g) assuming g is positive.\nAnswer: g**(457\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.9, 2, -5, -20 in increasing order.\nAnswer: -20, -5, -2, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -49, -82.7, 0.3, -5817, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 3. Let u be m(-9). Let q be ((-10)\/u)\/((-6)\/(-27)). Solve 2*f + 13 = -q*y, y = -y + 3*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4144)\/(-518)*1\/8. Sort 173, -8, j in increasing order.\nAnswer: -8, j, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k - 15. Let f = 36 + -50. Let r be z(f). Suppose 4*a = 8, -4*d - 5*a + r = d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 2*y - 3. Let s = -32 - -37. Suppose 5*u - 45 = -2*d - 3*d, -s*d + 45 = 3*u. Let v(p) = -2*p**2 - 5*p - 7. Calculate d*m(t) - 4*v(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1130*u**2 + 5681*u - 15202174?\nAnswer: 2260*u + 5681","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let j(l) be the first derivative of 11*l**3\/3 + 1. Calculate j(n(i)).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15655420 to the power of 1\/2, to the nearest integer?\nAnswer: 3957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72380648 is divided by 7772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 127?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 1. Suppose -170*b + 178*b = -40. What is the second smallest value in n, 4, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1124*c**5\/5 - 511*c**2\/2 - c - 102. Find the second derivative of k(y) wrt y.\nAnswer: 13488*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 2, m: 3, i: 3, e: 5}. What is prob of sequence mms?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*g - 1858, 2*m - 2*g = 237 + 503. Suppose j + m = -4*n, 0 = j - 5*n - 157 + 531. Let z = j + 535. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(2 - 3) - -512. Suppose -4*o + d = 151. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 17*k - 12. Does 17 divide b(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (7 - 5) + (-3 - -2 - 17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = 21*k - 23*k, -20 = -4*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let m(o) = 1 - 1 + 25*o - 21*o. Give -3*m(f) - 3*z(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -2 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*b = 30, -2009635*z - 68 = -2009657*z + 4*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8626 and 93070?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1519 + -1506. Solve -b*q = q - 70 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.7551 millennia in months?\nAnswer: 1701061.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796214143.\nAnswer: 3, 9007, 103483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4 - 4 - 2*z. Let b(v) = -1179*v**2 + 2372*v**2 - 1180*v**2. What is u(b(h))?\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 334557189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b - 8. Sort b, -7, 4 in increasing order.\nAnswer: -7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/4 or -5.51?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.179744 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1225 at least as big as -82046\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -1\/12*v**5 - 2*v**2 + 0 + 7\/6*v**3 + 0*v + 1\/120*v**6 + 1\/24*v**4. Is u(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*b = 445*b - 12. Suppose -3*y - j + 2714 = 0, 3*y - b*j = -1283 + 4000. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(9)\/sqrt(3) + -1 - -1*sqrt(12)).\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 * 5.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*p**4 + 8*p + 43*p + 215*p**4 + (0 + 0 + p**2)*(224*p + 6*p**2 - 224*p) - 5*p**4 - p**4 + 3*p**4.\nAnswer: 5*p**4 + 51*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 2*y**2 - 14*y + 1\/20*y**5 + 0 + 0*y**3 - 5\/12*y**4. Give s(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1168.828 years to decades.\nAnswer: 116.8828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -2\/39, -44\/5, -3\/5, 1.5 in ascending order.\nAnswer: -44\/5, -3\/5, -2\/39, 0.08, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3648256, -7296510, -10944764, -14593018, -18241272?\nAnswer: -21889526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34200)\/(-1350)*(-732)\/(-1)?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 12*j**2 + 24*j + 124. Determine x(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from bszz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294796 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 - 16*z**2 + 16*z - 16. Let v(g) = g**3 + 3*g**2 - 3*g + 3. Let k be 1\/(0 - 5\/15). Determine k*q(p) - 16*v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/57, -106\/3, 1?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 428 - 123. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 603*j**4 + 213465*j**3 - 15371741*j**2.\nAnswer: -j**2*(j - 133)**2*(j + 869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23*-5\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 10:25 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from sgccvsqsqqrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o + 49*o. Solve r - 2*r = -m - 7, -r + 5*m + 27 = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 + 3*k**4 - 226*k**3 - k**2 - 28*k + 1.\nAnswer: -120*k**3 + 72*k - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1182136 and 55\/1182136.\nAnswer: 1182136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -715\/116 + 12\/29. Which is smaller: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 46 = -99. Let d = z - 29. Suppose d = -2*j + 5 + 1. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 5*j - 3*j + 18*j - 10*j. Let i(b) = -154*b**2. Give m(i(g)).\nAnswer: 462*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 4*o + 3*o)*(4*o - o - 5*o) + 3*o - 3*o - 10*o**2 + (-3*o + o + 0*o)*(-5*o + 79*o + 83*o - 48*o) in the form p*o**2 + y*o + r and give p.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 6 + 3*l)*(10*l + 64 - 64) - 3*l**2 + 3*l**2 + l**2)*(0 + 2*l + 0) + (-2*l**3 - l**3 + 2*l**3)*(5 + 3 - 5) as t*l**3 + x*l**2 + n*l + i and give t.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023226313 to 6 decimal places.\nAnswer: -0.002323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7. Suppose 0 = -u*p - p. Suppose -163 = -4*a - 3*m, -a - m - m + 47 = p. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -636643.\nAnswer: -26\/636643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 5, 4, -1\/8.\nAnswer: -1\/8, 4, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 6*k**2 - 9*k**2 + 12*k**2 to u*k + j + d*k**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-29)*v**(1\/17)\/(v**10\/v) assuming v is positive.\nAnswer: v**(-949\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416281269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = 2*t - 101. Let x be (0 - 311)\/(3 - 5)*2. Let a = t + x. Calculate the highest common factor of 37 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 3. Suppose -q + 8 = -0*q. Suppose -4*p - q = -8*p. Is i(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-4)\/30). Suppose 4*y - 6*y + 139 = 3*h, o*y = h - 39. What is the lowest common multiple of h and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 57*x - 53*x + 8 = 0, -5*y = -5*x - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4908034958.\nAnswer: 2, 2454017479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 2440*p**2 - 5 - 34 to the form t*p + h + o*p**2 and give o.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*7\/(-280))\/((-1)\/2). Suppose -3*d + t + 1 = 0, -5*t + 0*t = -2*d + 5. Which is the biggest value? (a) d (b) -2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(539) + (sqrt(539)*1 - sqrt(539)) + -6*(0 + sqrt(539)) + sqrt(539) + 2)**2.\nAnswer: 280*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2734, 597 in decreasing order.\nAnswer: 597, 4, -2734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -490*d**2. Let t(z) = 114*z**2 - 134. Determine t(c(f)).\nAnswer: 27371400*f**4 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.065854844 and 0.5311562.\nAnswer: 0.465301356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 19*r**2 + 4 + 41*r**2.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 + 2 = 0. Let h be (-112)\/(-49) - t\/7. Sort h, -1, -7, 5 in descending order.\nAnswer: 5, h, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 144 + 41 = 0. Suppose b + 4 = a. Let q(x) = -4*x - 15. What is the remainder when b is divided by q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -2*b - 5*q, -6*b + b - 5*q + 275 = 0. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84753 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 2876351.\nAnswer: 2876351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -1 (c) 2\/5 (d) 288 (e) -18 (f) -6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*b = -180 - 201, 508 = 4*l - 3*b. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000019948611 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k - 1342. Calculate l(72).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -y, -z - 7 = -4*y. Let l = 1 - y. Let f(o) = -62*o**3 + o**2 - o - 1. Is f(l) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 9*g**2 - 25*g + 16. Calculate d(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -201 or 12188?\nAnswer: 12188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14154*v**2 + 14154*v**2 + 14*v**4 - 4*v + 3*v - 176 to s*v**2 + i*v + l*v**4 + z + h*v**3 and give z.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40410\/(-720) - (0 + (-2)\/16).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 194 = -53*n + 55*n + 219, 2*a + 3*n = -35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089119 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 7 - 5*f - 5*f**3 + 6*f + f**4 + 12 as d*f**3 + w + t*f**4 + i*f**2 + n*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 2*l - 10, 16 = -4*j + 3*l. Let h(y) = y**3 + 4*y**2 - 5*y - 2. Let b be h(-5). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 358 + 26. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11*m = 16*m - 22, -2*m = 2*g - 10. Which is the second biggest value? (a) 1\/10 (b) 5 (c) -2\/7 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/6)\/(-5)*-21. Let z = 3 + g. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(14\/(-5376)). Suppose -4*a + l = -0*a. Suppose 2*b = 3*x - a, 3*x + 5*b - 27 = -0. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (4 + -4 + -1). Suppose -h - 6 = 2*v, v + 269 = 5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 379, 570, 761?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -66339*d - 1287. Let k(i) = -310*i - 6. Calculate -858*k(n) + 4*z(n).\nAnswer: 624*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.59 + -1.41. What is the third biggest value in q, -20, -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*z - 727 = 132*z + 5383 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*i**3*s + 11*a**2*i**2*s + 29*a**2*s**3 - a**2*s + a*i**3 + i**3*s**2 wrt s?\nAnswer: 174*a**2*s + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24790 and 938.\nAnswer: 173530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -28*m**2 + 357*m + 16. Let z(k) = k**2 - 2*k - 8. Let d(j) = w(j) + 2*z(j). Let v(h) = 2*h. Calculate v(d(x)).\nAnswer: -52*x**2 + 706*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7007480 by -1401496.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(0 + (sqrt(450) - sqrt(450)*1)**2 + -1) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + t + 13, -5*t + 19 = -66*u + 67*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24774.74 litres?\nAnswer: 24774740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*1*(-6 - -5). Suppose -2*l + d*f = 0, 2*f + 10 = 3*l - 1. Suppose l*h + 42 = 2*i - 4, h + 4 = 0. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3)\/6*0. Let g be 4 + (3 - u) - 4. Suppose g*p - 27 = 69. What is the highest common divisor of p and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 320 = 5*o, 0*o - o - 3*s = -76. Put 3, o, -4, 1 in descending order.\nAnswer: o, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/2 + 4219*d\/2 - 1769460 = 0.\nAnswer: 1155, 3064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-6)\/(-4) - 131\/(-2). Calculate the highest common factor of 110 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 - 246 = 8*l. Solve l*z - 47*z + 70 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385524525 by -31.\nAnswer: 12436275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (22 + (-21 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from {m: 2, p: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 3\/8, -0.5, -43, 2, 5\/2 in decreasing order.\nAnswer: 5\/2, 2, 3\/8, 0.01, -0.5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1006876 - -321.46?\nAnswer: 321.3593124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 752+-24\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1465 - 593999?\nAnswer: -592534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nccccnnccccc. Give prob of picking 1 n and 1 c.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -742768 divided by 2\nAnswer: -371384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4438 and 179466.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*l + 1608, 18*l - 2382 = -3*g + 21*l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c + c)*(c**2 - 2*c**2 + 2*c**2)*(8*c - 5*c + 4*c) to z*c + r + a*c**3 + v*c**4 + p*c**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36227068 and 1.\nAnswer: 36227068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(304) + sqrt(304)*-3.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/6 - 26*o. Let m(w) be the second derivative of 0*w**3 + w + 0*w**2 + 0 - 7\/12*w**4. Give m(h(c)).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -277 + 1120?\nAnswer: a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 5. Determine o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-1))\/((-6)\/4). Let n be (4\/r)\/((-2)\/(-4)). Put 0, -1, n in ascending order.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40 - 40)*(-1)\/5. Let o = 436\/4503 - -2\/237. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - 3*u**2 + 2*u - 3. Let l be 10\/45 - (-16)\/9. Is c(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Suppose 3*n = 2 + 1. Let w be (-13 + 12)*(-6 - (n - 3)). Suppose -8*c + w*c - 12 = 0. Give b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1500 + -10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210636052 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 6, n: 5, q: 1, r: 1, w: 3}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(9*m - 9*m + 22*m**3) - 3*m**2 + 2*m**3 + 3*m**2.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 88602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:32 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from iyyiiiiyiiiyii?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**2 - 88*h**3 + 16*h - 2*h**4 + 41*h**3 + 74*h**3 wrt h.\nAnswer: -48*h + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**2 - 19*a**2 + 35*a**2 - 15*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -3. Suppose -460 = -185*j + 93*j. Let k(f) = j - x*f + 6*f - 10. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 71. Let y = z - -17. Sort 5, -5, y.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -2*1*sqrt(121) - sqrt(121)) + 3*(sqrt(121) - sqrt(121)*-2))\/(sqrt(44)\/(sqrt(196) + (sqrt(196) - sqrt(196)*-2))).\nAnswer: 196*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 32*q**3 - 8*q**2 + 320*q + 300.\nAnswer: -4*(q - 3)*(q + 1)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 14. Let s = -11.1 - q. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-1)*29\/1. Factor -213*i**2 - 2*i**3 - 3*i**3 + j*i**2 + 15*i.\nAnswer: -5*i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 167*t**2 - 10*t - 2*t**3 - 352*t**2 + 185*t**2 + 3*t**3 - 4. Give h(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 15, m: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99920?\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.9022 to the nearest integer.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9361a2 (base 12) to base 3\nAnswer: -11100110220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -28, 5, 19.\nAnswer: -28, -2, -1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/((-5)\/(-5) + 0). Let w = p + -18. Solve 2*m = -w - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 6*u - 18386 = -o, -165537 = -9*o - 3*u. Calculate the highest common factor of o and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 49224.6.\nAnswer: -49224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 2782.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 66*x + 29. Let c be o(1). Calculate the greatest common divisor of c and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 13 (c) 0 (d) -529 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8328, 8350, 8388, 8442, 8512?\n\"Answer: 8*k**2 - 2*k + 8322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from pssspssossqsqqqs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 = -1475*x + 1474*x, -g - 12 = -5*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 9*x - 45. Let h be f(-4). Suppose 0 = -t + 5, t - h - 1 = -k. Solve -9 = -3*l, 0 = -3*y + k*l - 6*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -64. Suppose -3*r = -6*r + 63. Calculate the remainder when 17 is divided by 18\/g*(-98)\/r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 + 163*c**2 - 62*c**2 - 74*c**2.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4300\/13 and 330 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*o + 14 + 59, 0 = -8*b + 5*o + 37. Suppose 0*y + 42 = y. Calculate the smallest common multiple of b and (1\/(-2) - -1)*y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 43437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 1700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53262*b - 17724*b - 17572*b - 17615*b.\nAnswer: 351*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/15 + 26*q\/5 + 148\/15 = 0. Calculate q.\nAnswer: -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178983*3.\nAnswer: 536949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 869020 divided by 560\nAnswer: 43451\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*s = -0*s - 25, -4*w + 5*s = 25. Suppose w*r = r. Let q = 19 - 15. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 4\/3*y**4 + 2 + 2\/5*y**5 - 2\/3*y + 4\/3*y**3 + 0*y**2. Factor c(w).\nAnswer: 2*(w + 1)**3*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 0. Suppose -r = 5*z + 57. List the prime factors of -10*2\/z*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2986158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54691, -112032, -169373?\nAnswer: -226714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 6, j: 3, h: 5}. Give prob of picking 3 h and 1 g.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -364597) + -1 + 101\/101. What is m rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13398277.49 + 0.4.\nAnswer: -13398277.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11868 divided by 258?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-5))\/((f**11\/f)\/f*f))**(-14) assuming f is positive.\nAnswer: f**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 2 + c**3 - 10*c - 2428*c**4 + 2429*c**4 to the form w*c**2 + d*c**3 + l + g*c + f*c**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1041a033?\nAnswer: -1041a033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7.47+-144.2\nAnswer: -136.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -13, -49, -121, -241?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 7*x - 28*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -21*v + 33. Solve -y + 2 = -v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020120310012 - 2?\nAnswer: -1020120310020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, 78614.\nAnswer: -10, 10, 78614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 377100 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 + 36*s**2 - 36*s + 4. Let v(w) = -25*w**3 + 109*w**2 - 108*w + 13. Let n(c) = 11*u(c) - 4*v(c). Factor n(i).\nAnswer: 4*(i - 2)*(i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*a**2 + 10*a**3 + a**3 - 429*a**2.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 7*f)*(-4 + 2 + 3) + 5*f - 3*f + 10*f + 3*f - 4*f + 0*f - 2*f + 2*f + 2*f + (1 + 4 + 3)*(-f - f + 0*f) to the form v*f + b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6371*s - 7545*s - 12751*s + 6145*s.\nAnswer: -20522*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -105, -167, -229, -291, -353?\n\"Answer: -62*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-35))\/((-4)\/30). Let y(g) = -g**3 - 5*g**2 + 5*g - 4. Let b be y(n). Suppose 32 - 12 = b*w. Calculate the remainder when 37 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689164 (base 11) in base 2?\nAnswer: 100001011011110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -142, -306, -532, -820, -1170, -1582?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from kkknknnkknkpinki?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 10, 1, -5, -118 in decreasing order.\nAnswer: 10, 1, -2, -5, -11, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -9*l - 6. What is the tens digit of 2 - (-16 - -3 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*b - 3*j = 454*b - 2658, -681 = -b + 2*j. Is 662 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = 254 - 69 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*g - 2*b + 7 = 0, 14 = 4*g + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(21) - sqrt(21)*-2)\/sqrt(3) - (-3 + sqrt(700))).\nAnswer: -35*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*a**3 - 50*a + 3587 wrt a?\nAnswer: 27*a**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15424 by 482.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-5))\/(-6) + 2 + -1. Is 1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537*w + 1541*w = 21*j + 102, 0 = -4*j - 2*w + 80 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/144 and 45\/368?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1132.5 + -1130.35. Which is the fifth biggest value? (a) 3 (b) -1\/9 (c) w (d) -2\/17 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/5 + -413\/30. What is the common denominator of v and ((-74)\/(-10))\/((-22)\/5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*s + 35*d**2 - 563*d*s**2 + d + 2*s**2 wrt s?\nAnswer: 2*d**2 - 1126*d*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -55, 5 in decreasing order.\nAnswer: 5, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11649 = -108*v + 98*v + 363*v for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -56*m**3 - m**2 + m + 6. Let p(u) = -u**3 + 5*u**2 + 11*u + 19. Let k be p(7). Let w be b(k). What is the greatest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14997 * 4084.\nAnswer: -61247748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/2*((-16)\/(-15))\/(-4)*36\/48.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -65\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwz when three letters picked without replacement from nzzwqn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 17*x + 4. Let a(w) = -4*w**2 + 16*w + 5. Let y(g) = -6*a(g) + 5*u(g). Let n be y(-7). Suppose l = -3 + n. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25686 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334200 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = d - 2, 5*d - 10 = -3*u - 0*u. Suppose -6*r = 4*j - 3*r + 21, u = -3*j + r - 19. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -1142?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 98*b - 81. Let o be s(107). What is the highest common factor of o and 504?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1.3, -0.5, 2, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 444363 = -324029. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -16. Let l = 35.9999939 - h. What is l rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/24 and -145\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 3\/7, -2\/5, 1 in ascending order.\nAnswer: -76, -2\/5, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 11*h - 8. Calculate d(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -400480 divided by 8?\nAnswer: -50060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.843 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/((-1014)\/90) + 2\/13. Put -14, -12, 5, l in descending order.\nAnswer: 5, l, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18469 divided by -41.\nAnswer: 18469\/41","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 11*o**8\/56 + 7*o**4\/12 - o**3 - 89*o. Find the third derivative of g(j) wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*-2 - sqrt(875))\/sqrt(5) + sqrt(3087)\/sqrt(9)*-5)**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*h - 135. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((100\/(-30))\/(-10))\/((-4)\/(-19044))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*z + 3, -4*y - 2*z = -4. Let c be (y\/(-6))\/(2\/152). Let a be c\/(-8) - (-1)\/4. Solve -3 = a*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2*m. Let i be s(-3). Suppose 4*t = i + 5. Suppose 2 - 8 = -t*u. Solve 2*y = 3*y + 3*c + 7, 32 = 4*y - u*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 1 (c) -1.4 (d) -5 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-30) + (-6)\/(-9) - 14\/(-680)*-68.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:02 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + f**2)*(-5 + 5 + 2) + 0*f**2 + 0*f**2 + f**2 - 2*f**2 + 0*f**2 + 3*f**2 - 11*f**2 - 7*f**2 + 13*f**2 to the form b + z*f**2 + w*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/161121482 and -27\/84208.\nAnswer: 1288971856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 40*p**2 - 87*p + 147. Calculate y(42).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43091300 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-4))\/((-192)\/(-24))*26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by -8.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2 - 7085866*l - 11176471.\nAnswer: -2*l - 7085866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*q = -3*q - 967, 961 = 4*c - 3*q. Suppose c = 12*z - 314. What is the least common multiple of z and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 16}. Give prob of picking 3 v and 1 w.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15257 divided by -224\nAnswer: 15257\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656 and 64452.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*d**3*g**3 - 473712*d**3*g - 51*d**2*g**3 + 4*d*g**2 + 1368*g**3 wrt g?\nAnswer: -750*d**3 - 306*d**2 + 8208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081966959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + j - 5*u, -4*u + 84 = 4*j. Let d = j + 3. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 623*p - 102. Let j(w) = -1248*w + 172. Calculate 3*j(k) + 5*z(k).\nAnswer: -629*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -570, -2038, -4030, -6174, -8098, -9430, -9798?\n\"Answer: 62*r**3 - 634*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {q: 2, m: 2, d: 12, y: 1, z: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 + 199.9834. Let n = 0.064 + r. What is n rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -37. Let f(k) = 6*k**2 + 9*k**2 - 4*k**r. Let p(q) be the third derivative of -q**5\/30 - 9*q**2. Calculate p(f(s)).\nAnswer: -242*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:48 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/688873 and -13\/8.\nAnswer: 5510984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/83 (b) 0.23 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-1*sqrt(12)\/sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwwiiiww. Give prob of sequence fw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.87 - -0.13. Let p = 4.2 - u. Let x = 0.5 + p. Which is the second smallest value? (a) 4 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1145\/375 + (-5 - -2). Let l(a) be the second derivative of 1\/10*a**4 - 2\/25*a**5 - u*a**6 + 0 - 1\/5*a**2 + 7*a + 2\/15*a**3. Factor l(k).\nAnswer: -2*(k + 1)**2*(2*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88280 by 11035.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 4*l)*(-556*l + 270*l + 264*l).\nAnswer: 88*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223 + 1?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 7001632?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4*(-2)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5273, 5298, 5361, 5480, 5673, 5958?\nAnswer: 6353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1691 + -1338. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 8:06 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817194818?\nAnswer: 2, 11, 709, 52391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.849 - 30.889. Which is the nearest to t? (a) 2\/7 (b) 1 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*m - 15, d + 3*m = -34 + 21. Which is greater: -1\/3030 or d?\nAnswer: -1\/3030","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2245 + 2241. Sort b, -3, -5, 4 in descending order.\nAnswer: 4, -3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 46 = 9*d. Let y be (-104)\/(-160) + (-2)\/d. Put -0.1, y, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601224 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2688011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + 0.4. Which is the second biggest value? (a) 0.4 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 213 - -252?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057859 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 2. Let c = -11 + 14. Suppose 5*n - 2*n + 198 = c*o, 3*n - 2*o = -194. Let j = -69 - n. Give q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*u + 2*z, 0 = 5*u + 3*z + z - 185. Calculate the remainder when 156 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4637*0.092.\nAnswer: -426.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 25918.\nAnswer: 25917.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59139*o**3 - o**2 - o + 12727 wrt o.\nAnswer: -354834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.48899 - 126.66601. Let m = w + 127. Let a = 0.755 - m. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 - 14 = -n, -4*n + 85 = -a. Let b(o) = n + o + o + 5*o + 7*o. Is 11 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140731111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -97 + -2 + (59 - (-10 + 62)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 98 - 118 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 11 = -3 - 2, -10 = -5*i - 5*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47443?\nAnswer: 11, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19a - 1f5?\nAnswer: -38f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (0 + 1) - (106 + (57 - 160))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*o**3 - 3\/2*o**2 + 0*o + 0.\nAnswer: -3*o**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (3 + 4 - (10 + 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 + w**2. Let j(v) = 2*v**2 + 7*v + 2. Calculate the remainder when j(-5) is divided by q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 2. Let c(i) = -h*i + i - 5 - 2*i + 2*i. What is c(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 223*w**2 + 111*w**2 + 956 + 112*w**2 - 2*w**3 to the form h*w**2 + x*w**3 + c*w + r and give r.\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 15, -5*n - 27 = i. Let t be 1 + i - -2 - -8. Let j(c) = -2*c**2 + 11*c + 7. Let v be j(6). Calculate the greatest common divisor of t and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2650975*w**4 - w**3 - 9*w**2 + 880304193*w.\nAnswer: 31811700*w**2 - 6*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7589\/1561 - -1\/223. Let i be 1496\/(-204)*(-1209)\/(-1016). Let x = i + -3\/127. Calculate the common denominator of x and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127011325.\nAnswer: 5, 23, 7177411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -49, -0.02, 2\/9, 0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1924ac - 2?\nAnswer: -1924b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2633 - 1467. Calculate the highest common divisor of x and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-3)*(2942\/(-5884))\/((-7)\/48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -373 - -407. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (65 + -1)\/8. Let c be 28\/6*(-30)\/(-4). Calculate the highest common factor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121102101 + -112?\nAnswer: 121101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3 (c) 53\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/128, -2\/15, 0.1, 5, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 4, u: 2, x: 2}. Give prob of picking 2 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 208*f + 619. Give v(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 3. Let r be p(3). Suppose r = 5*s - 3*s - 32. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 50*j + 1612 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**6 - 663*f**5 + 2*f**2 - 2*f + 783.\nAnswer: 600*f**3 - 39780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z + 19. Let y(v) be the first derivative of v**2 + 2*v - 159. What is 3*m(q) - y(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(1\/(-4)). Suppose -5*j = -4*a - 0*a - 72, 0 = -v*j - 2*a + 42. What is the smallest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951059384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4862 and (8 - 3269\/(-56)) + (-12)\/32.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/5)*j**(-14)*j assuming j is positive.\nAnswer: j**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162, 178, 200, 228, 262, 302?\n\"Answer: 3*f**2 + 7*f + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z**2. Let c(t) = -5*t**2 + 3*t + 6. Let b(k) = -k**2 + k + 2. Let v(q) = 3*b(q) - c(q). Calculate a(v(x)).\nAnswer: -60*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -35*g**2 + 7*g. Let f(t) = -2*t**2 - 2*t. Let v(n) = 6*f(n) + 2*q(n). Let i(u) = u. Determine v(i(z)).\nAnswer: -82*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 8*l - 3. Let c(j) = 4*j**2 - 7*j + 3. Let w(m) = -4*c(m) - 3*x(m). Let p(t) = -t**3 + 3*t**2 + 2*t - 6. Let d be p(2). Calculate w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9*b - 58 = k, -5*k = -10. Calculate the remainder when 30 - (b\/(-3) - 4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -58) + (90 - 55 - 53).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21710 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2837*a**2 + 2830*a**2 - 7*a + 10 - 5666*a**2. Determine c(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18626 - 223373\/12. Calculate the common denominator of s and -25\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let j(y) = 8*y**2 + y - 8. Let f be j(2). Suppose 3*w - 4*t = 23, 0*t = w - l*t - f. Is 2\/17 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77, 102, 127, 152, 177?\n\"Answer: 25*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36646 and 25112?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 19 + 3 = 0. Let u = 123 - 118. Solve t*o - 3 = u*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-68)*-14 + -2. Let f = 12\/17 + h. Which is the smallest value? (a) -2 (b) f (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}